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- 1 + 1 = 3, for large values of 1.
- %
- 1 Billion dollars of budget deficit = 1 Gramm-Rudman
- 6.023 x 10 to the 23rd power alligator pears = Avocado's number
- 2 pints = 1 Cavort
- Basic unit of Laryngitis = The Hoarsepower
- Shortest distance between two jokes = A straight line
- 6 Curses = 1 Hexahex
- 3500 Calories = 1 Food Pound
- 1 Mole = 007 Secret Agents
- 1 Mole = 25 Cagey Bees
- 1 Dog Pound = 16 oz. of Alpo
- 1000 beers served at a Twins game = 1 Killibrew
- 2.4 statute miles of surgical tubing at Yale U. = 1 I.V.League
- 2000 pounds of chinese soup = 1 Won Ton
- 10 to the minus 6th power mouthwashes = 1 Microscope
- Speed of a tortoise breaking the sound barrier = 1 Machturtle
- 8 Catfish = 1 Octo-puss
- 365 Days of drinking Lo-Cal beer. = 1 Lite-year
- 16.5 feet in the Twilight Zone = 1 Rod Serling
- Force needed to accelerate 2.2lbs of cookies = 1 Fig-newton
- to 1 meter per second
- One half large intestine = 1 Semicolon
- 10 to the minus 6th power Movie = 1 Microfilm
- 1000 pains = 1 Megahertz
- 1 Word = 1 Millipicture
- 1 Sagan = Billions & Billions
- 1 Angstrom: measure of computer anxiety = 1000 nail-bytes
- 10 to the 12th power microphones = 1 Megaphone
- 10 to the 6th power Bicycles = 2 megacycles
- The amount of beauty required launch 1 ship = 1 Millihelen
- %
- (1) A sheet of paper is an ink-lined plane.
- (2) An inclined plane is a slope up.
- (3) A slow pup is a lazy dog.
-
- QED: A sheet of paper is a lazy dog.
- -- Willard Espy, "An Almanac of Words at Play"
- %
- (1) Alexander the Great was a great general.
- (2) Great generals are forewarned.
- (3) Forewarned is forearmed.
- (4) Four is an even number.
- (5) Four is certainly an odd number of arms for a man to have.
- (6) The only number that is both even and odd is infinity.
- Therefore, all horses are black.
- %
- (1) Alexander the Great was a great general.
- (2) Great generals are forewarned.
- (3) Forewarned is forearmed.
- (4) Four is an even number.
- (5) Four is certainly an odd number of arms for a man to have.
- (6) The only number that is both even and odd is infinity.
-
- Therefore, Alexander the Great had an infinite number of arms.
- %
- (1) Never draw what you can copy.
- (2) Never copy what you can trace.
- (3) Never trace what you can cut out and paste down.
- %
- (1) X=Y ; Given
- (2) X^2=XY ; Multiply both sides by X
- (3) X^2-Y^2=XY-Y^2 ; Subtract Y^2 from both sides
- (4) (X+Y)(X-Y)=Y(X-Y) ; Factor
- (5) X+Y=Y ; Cancel out (X-Y) term
- (6) 2Y=Y ; Substitute X for Y, by equation 1
- (7) 2=1 ; Divide both sides by Y
- -- "Omni", proof that 2 equals 1
- %
- 1.79 x 10^12 furlongs per fortnight -- it's not just a good idea, it's
- the law!
- %
- 10.0 times 0.1 is hardly ever 1.0.
- %
- 13. ... r-q1
- %
- "355/113 -- Not the famous irrational number PI, but an incredible simulation!"
- %
- 7,140 pounds on the Sun
- 97 pounds on Mercury or Mars
- 255 pounds on Earth
- 232 pounds on Venus or Uranus
- 43 pounds on the Moon
- 648 pounds on Jupiter
- 275 pounds on Saturn
- 303 pounds on Neptune
- 13 pounds on Pluto
-
- -- How much Elvis Presley would weigh at various places
- in the solar system.
- %
- A bunch of Polish scientists decided to flee their repressive government by
- hijacking an airliner and forcing the pilot to fly them to the West. They
- drove to the airport, forced their way on board a large passenger jet, and
- found there was no pilot on board. Terrified, they listened as the sirens
- got louder. Finally, one of the scientists suggested that since he was an
- experimentalist, he would try to fly the aircraft.
- He sat down at the controls and tried to figure them out. The sirens
- got louder and louder. Armed men surrounded the jet. The would be pilot's
- friends cried out, "Please, please take off now!!! Hurry!!!"
- The experimentalist calmly replied, "Have patience. I'm just a simple
- pole in a complex plane."
- %
- A conclusion is simply the place where someone got tired of thinking.
- %
- A conference is a gathering of important people who singly can do nothing
- but together can decide that nothing can be done.
- -- Fred Allen
- %
- A fail-safe circuit will destroy others.
- -- Klipstein
- %
- A failure will not appear until a unit has passed final inspection.
- %
- "A fractal is by definition a set for which the Hausdorff Besicovitch
- dimension strictly exceeds the topological dimension."
- -- Mandelbrot, "The Fractal Geometry of Nature"
- %
- A gangster assembled an engineer, a chemist, and a physicist. He explained
- that he was entering a horse in a race the following week and the three
- assembled guys had the job of assuring that the gangster's horse would win.
- They were to reconvene the day before the race to tell the gangster how they
- each propose to ensure a win. When they reconvened the gangster started with
- the engineer:
-
- Gangster: OK, Mr. engineer, what have you got?
- Engineer: Well, I've invented a way to weave metallic threads into the saddle
- blanket so that they will act as the plates of a battery and provide
- electrical shock to the horse.
- G: That's very good! But let's hear from the chemist.
- Chemist: I've synthesized a powerful stimulant that disolves
- into simple blood sugars after ten minutes and therefore
- cannot be detected in post-race tests.
- G: Excellent, excellent! But I want to hear from the physicist before
- I decide what to do. Physicist?
- Physicist: Well, first consider a spherical horse in simple harmonic motion...
- %
- "A horrible little boy came up to me and said, `You know in your book
- The Martian Chronicles?' I said, `Yes?' He said, `You know where you
- talk about Deimos rising in the East?' I said, `Yes?' He said `No.'
- -- So I hit him."
- -- attributed to Ray Bradbury
- %
- A mathematician is a device for turning coffee into theorems.
- -- P. Erdos
- %
- A mathematician, a doctor, and an engineer are walking on the beach and
- observe a team of lifeguards pumping the stomach of a drowned woman. As
- they watch, water, sand, snails and such come out of the pump.
- The doctor watches for a while and says: "Keep pumping, men, you may
- yet save her!!"
- The mathematician does some calculations and says: "According to my
- understanding of the size of that pump, you have already pumped more water
- from her body than could be contained in a cylinder 4 feet in diameter and
- 6 feet high."
- The engineer says: "I think she's sitting in a puddle."
- %
- A method of solution is perfect if we can forsee from the start,
- and even prove, that following that method we shall attain our aim.
- -- Leibnitz
- %
- A pain in the ass of major dimensions.
- -- C.A. Desoer, on the solution of non-linear circuits
- %
- A physicist is an atom's way of knowing about atoms.
- -- George Wald
- %
- A rope lying over the top of a fence is the same length on each side. It
- weighs one third of a pound per foot. On one end hangs a monkey holding a
- banana, and on the other end a weight equal to the weight of the monkey.
- The banana weighs two ounces per inch. The rope is as long (in feet) as
- the age of the monkey (in years), and the weight of the monkey (in ounces)
- is the same as the age of the monkey's mother. The combined age of the
- monkey and its mother is thirty years. One half of the weight of the monkey,
- plus the weight of the banana, is one forth as much as the weight of the
- weight and the weight of the rope. The monkey's mother is half as old as
- the monkey will be when it is three times as old as its mother was when she
- she was half as old as the monkey will be when when it is as old as its mother
- will be when she is four times as old as the monkey was when it was twice
- as its mother was when she was one third as old as the monkey was when it
- was old as is mother was when she was three times as old as the monkey was
- when it was one fourth as old as it is now. How long is the banana?
- %
- A scientific truth does not triumph by convincing its opponents and
- making them see the light, but rather because its opponents eventually
- die and a new generation grows up that is familiar with it.
- -- Max Planck
- %
- A sense of desolation and uncertainty, of futility, of the baselessness
- of aspirations, of the vanity of endeavor, and a thirst for a life giving
- water which seems suddenly to have failed, are the signs in conciousness
- of this necessary reorganization of our lives.
-
- It is difficult to believe that this state of mind can be produced by the
- recognition of such facts as that unsupported stones always fall to the
- ground.
- -- J.W.N. Sullivan
- %
- A Severe Strain on the Credulity
- As a method of sending a missile to the higher, and even to the
- highest parts of the earth's atmospheric envelope, Professor Goddard's rocket
- is a practicable and therefore promising device. It is when one considers the
- multiple-charge rocket as a traveler to the moon that one begins to doubt...
- for after the rocket quits our air and really starts on its journey, its
- flight would be neither accelerated nor maintained by the explosion of the
- charges it then might have left. Professor Goddard, with his "chair" in
- Clark College and countenancing of the Smithsonian Institution, does not
- know the relation of action to re-action, and of the need to have something
- better than a vacuum against which to react... Of course he only seems to
- lack the knowledge ladled out daily in high schools.
- -- New York Times Editorial, 1920
- %
- A sine curve goes off to infinity, or at least the end of the blackboard.
- -- Prof. Steiner
- %
- A social scientist, studying the culture and traditions of a small North
- African tribe, found a woman still practicing the ancient art of matchmaking.
- Locally, she was known as the Moor, the marrier.
- %
- A statistician, who refused to fly after reading of the alarmingly high
- probability that there will be a bomb on any given plane, realized that
- the probability of there being two bombs on any given flight is very low.
- Now, whenever he flies, he carries a bomb with him.
- %
- A transistor protected by a fast-acting fuse will protect the fuse by
- blowing first.
- %
- A triangle which has an angle of 135 degrees is called an obscene triangle.
- %
- According to convention there is a sweet and a bitter, a hot and a cold,
- and according to convention, there is an order. In truth, there are atoms
- and a void.
- -- Democritus, 400 B.C.
- %
- According to the latest official figures, 43% of all statistics are
- totally worthless.
- %
- ACHTUNG!!!
-
- Das machine is nicht fur gefingerpoken und mittengrabben. Ist easy schnappen
- der springenwerk, blowenfusen und corkenpoppen mit spitzensparken. Ist nicht
- fur gewerken by das dummkopfen. Das rubbernecken sightseeren keepen hands
- in das pockets. Relaxen und vatch das blinkenlights!!!
- %
- Actually, the probability is 100% that the elevator will be going in the
- right direction. Proof by induction:
-
- N=1. Trivially true, since both you and the elevator only have one
- floor to go to.
-
- Assume true for N, prove for N+1:
- If you are on any of the first N floors, then it is true by the
- induction hypothesis. If you are on the N+1st floor, then both you
- and the elevator have only one choice, namely down. Therefore,
- it is true for all N+1 floors.
- QED.
- %
- After a number of decimal places, nobody gives a damn.
- %
- After an instrument has been assembled, extra components will be found
- on the bench.
- %
- After the Children of Israel had wandered for thirty-nine years
- in the wilderness, Ferdinand Feghoot arrived to make sure that they would
- finally find and enter the Promised Land. With him, he brought his
- favorite robot, faithful old Yewtoo Artoo, to carry his gear and do
- assorted camp chores.
- The Israelites soon got over their initial fear of the robot and,
- as the months passed, became very fond of him. Patriarchs took to
- discussing abtruse theological problems with him, and each evening the
- children all gathered to hear the many stories with which he was programmed.
- Therefore it came as a great shock to them when, just as their journey was
- ending, he abruptly wore out. Even Feghoot couldn't console them.
- "It may be true, Ferdinand Feghoot," said Moses, "that our friend
- Yewtoo Artoo was soulless, but we cannot believe it. He must be properly
- interred. We cannot embalm him as do the Egyptians. Nor have we wood for
- a coffin. But I do have a most splendid skin from one of Pharoah's own
- cattle. We shall bury him in it."
- Feghoot agreed. "Yes, let this be his last rusting place."
- "Rusting?" Moses cried. "Not in this dreadful dry desert!"
- "Ah!" sighed Ferdinand Feghoot, shedding a tear, "I fear you do not
- realize the full significance of Pharoah's oxhide!"
- -- Grendel Briarton "Through Time & Space With Ferdinand
- Feghoot!"
- %
- After the last of 16 mounting screws has been removed from an access
- cover, it will be discovered that the wrong access cover has been removed.
- %
- After this was written there appeared a remarkable posthumous memoir that
- throws some doubt on Millikan's leading role in these experiments. Harvey
- Fletcher (1884-1981), who was a graduate student at the University of Chicago,
- at Millikan's suggestion worked on the measurement of electronic charge for
- his doctoral thesis, and co-authored some of the early papers on this subject
- with Millikan. Fletcher left a manuscript with a friend with instructions
- that it be published after his death; the manuscript was published in
- Physics Today, June 1982, page 43. In it, Fletcher claims that he was the
- first to do the experiment with oil drops, was the first to measure charges on
- single droplets, and may have been the first to suggest the use of oil.
- According to Fletcher, he had expected to be co-authored with Millikan on
- the crucial first article announcing the measurement of the electronic
- charge, but was talked out of this by Millikan.
- -- Steven Weinberg, "The Discovery of Subatomic Particles"
-
- Robert Millikan is generally credited with making the first really
- precise measurement of the charge on an electron and was awarded the
- Nobel Prize in 1923.
- %
- After years of research, scientists recently reported that there is,
- indeed, arroz in Spanish Harlem.
- %
- Against his wishes, a math teacher's classroom was remodeled. Ever
- since, he's been talking about the good old dais. His students planted a small
- orchard in his honor; the trees all have square roots.
- %
- Air is water with holes in it.
- %
- Air pollution is really making us pay through the nose.
- %
- Albert Einstein, when asked to describe radio, replied: "You see, wire
- telegraph is a kind of a very, very long cat. You pull his tail in New
- York and his head is meowing in Los Angeles. Do you understand this?
- And radio operates exactly the same way: you send signals here, they
- receive them there. The only difference is that there is no cat."
- %
- Alexander Graham Bell is alive and well in New York, and still waiting
- for a dial tone.
- %
- Algebraic symbols are used when you do not know what you are talking about.
- -- Philippe Schnoebelen
- %
- All Finagle Laws may be bypassed by learning the simple art of doing
- without thinking.
- %
- All great discoveries are made by mistake.
- -- Young
- %
- All great ideas are controversial, or have been at one time.
- %
- All laws are simulations of reality.
- -- John C. Lilly
- %
- All life evolves by the differential survival of replicating entities.
- -- Dawkins
- %
- All power corrupts, but we need electricity.
- %
- All science is either physics or stamp collecting.
- -- Ernest Rutherford
- %
- All seems condemned in the long run to approximate a state akin to
- Gaussian noise.
- -- James Martin
- %
- All syllogisms have three parts, therefore this is not a syllogism.
- %
- All the evidence concerning the universe has not yet been collected,
- so there's still hope.
- %
- All theoretical chemistry is really physics; and all theoretical chemists
- know it.
- -- Richard P. Feynman
- %
- Although the moon is smaller than the earth, it is farther away.
- %
- Although we modern persons tend to take our electric lights, radios, mixers,
- etc., for granted, hundreds of years ago people did not have any of these
- things, which is just as well because there was no place to plug them in.
- Then along came the first Electrical Pioneer, Benjamin Franklin, who flew a
- kite in a lighting storm and received a serious electrical shock. This
- proved that lighting was powered by the same force as carpets, but it also
- damaged Franklin's brain so severely that he started speaking only in
- incomprehensible maxims, such as "A penny saved is a penny earned."
- Eventually he had to be given a job running the post office.
- -- Dave Barry, "What is Electricity?"
- %
- Always draw your curves, then plot your reading.
- %
- Always leave room to add an explanation if it doesn't work out.
- %
- Always think of something new; this helps you forget your last rotten idea.
- -- Seth Frankel
- %
- Always try to do things in chronological order; it's less confusing that way.
- %
- An age is called Dark not because the light fails to shine, but because
- people refuse to see it.
- -- James Michener, "Space"
- %
- An American scientist once visited the offices of the great Nobel prize
- winning physicist, Niels Bohr, in Copenhagen. He was amazed to find that
- over Bohr's desk was a horseshoe, securely nailed to the wall, with the
- open end up in the approved manner (so it would catch the good luck and not
- let it spill out). The American said with a nervous laugh,
- "Surely you don't believe the horseshoe will bring you good luck,
- do you, Professor Bohr? After all, as a scientist --"
- Bohr chuckled.
- "I believe no such thing, my good friend. Not at all. I am
- scarcely likely to believe in such foolish nonsense. However, I am told
- that a horseshoe will bring you good luck whether you believe in it or not."
- %
- An anthropologist at Tulane has just come back from a field trip to New
- Guinea with reports of a tribe so primitive that they have Tide but not
- new Tide with lemon-fresh Borax.
- -- David Letterman
- %
- An architect's first work is apt to be spare and clean. He knows
- he doesn't know what he's doing, so he does it carefully and with great
- restraint.
- As he designs the first work, frill after frill and embellishment
- after embellishment occur to him. These get stored away to be used "next
- time." Sooner or later the first system is finished, and the architect,
- with firm confidence and a demonstrated mastery of that class of systems,
- is ready to build a second system.
- This second is the most dangerous system a man ever designs.
- When he does his third and later ones, his prior experiences will
- confirm each other as to the general characteristics of such systems,
- and their differences will identify those parts of his experience that
- are particular and not generalizable.
- The general tendency is to over-design the second system, using
- all the ideas and frills that were cautiously sidetracked on the first
- one. The result, as Ovid says, is a "big pile."
- -- Frederick Brooks, "The Mythical Man Month"
- %
- An authority is a person who can tell you more about something than you
- really care to know.
- %
- An economist is a man who would marry Farrah Fawcett-Majors for her money.
- %
- An egghead is one who stands firmly on both feet, in mid-air, on both
- sides of an issue.
- -- Homer Ferguson
- %
- An engineer, a physicist and a mathematician find themselves in an
- anecdote, indeed an anecdote quite similar to many that you have no doubt
- already heard. After some observations and rough calculations the
- engineer realizes the situation and starts laughing. A few minutes later
- the physicist understands too and chuckles to himself happily as he now
- has enough experimental evidence to publish a paper. This leaves the
- mathematician somewhat perplexed, as he had observed right away that he
- was the subject of an anecdote, and deduced quite rapidly the presence of
- humour from similar anecdotes, but considers this anecdote to be too
- trivial a corollary to be significant, let alone funny.
- %
- And the French medical anatomist Etienne Serres really did argue that
- black males are primitive because the distance between their navel and
- penis remains small (relative to body height) throughout life, while
- white children begin with a small separation but increase it during
- growth -- the rising belly button as a mark of progress.
- -- S.J. Gould, "Racism and Recapitulation"
- %
- And this is a table ma'am. What in essence it consists of is a horizontal
- rectilinear plane surface maintained by four vertical columnar supports,
- which we call legs. The tables in this laboratory, ma'am, are as advanced
- in design as one will find anywhere in the world.
- -- Michael Frayn, "The Tin Men"
- %
- ... Another writer again agreed with all my generalities, but said that as an
- inveterate skeptic I have closed my mind to the truth. Most notably I have
- ignored the evidence for an Earth that is six thousand years old. Well, I
- haven't ignored it; I considered the purported evidence and *then* rejected
- it. There is a difference, and this is a difference, we might say, between
- prejudice and postjudice. Prejudice is making a judgment before you have
- looked at the facts. Postjudice is making a judgment afterwards. Prejudice
- is terrible, in the sense that you commit injustices and you make serious
- mistakes. Postjudice is not terrible. You can't be perfect of course; you
- may make mistakes also. But it is permissible to make a judgment after you
- have examined the evidence. In some circles it is even encouraged.
- -- Carl Sagan, "The Burden of Skepticism"
- %
- Any circuit design must contain at least one part which is obsolete, two parts
- which are unobtainable, and three parts which are still under development.
- %
- Any sufficiently advanced technology is indistinguishable from a rigged demo.
- %
- Any sufficiently advanced technology is indistinguishable from magic.
- -- Arthur C. Clarke
- %
- Anyone who cannot cope with mathematics is not fully human. At best he
- is a tolerable subhuman who has learned to wear shoes, bathe and not
- make messes in the house.
- -- Lazarus Long, "Time Enough for Love"
- %
- Anyone who imagines that all fruits ripen at the same time
- as the strawberries, knows nothing about grapes.
- -- Philippus Paracelsus
- %
- "Anything created must necessarily be inferior to the essence of the creator."
- -- Claude Shouse
-
- "Einstein's mother must have been one heck of a physicist."
- -- Joseph C. Wang
- %
- Anything cut to length will be too short.
- %
- Arithmetic is being able to count up to twenty without taking off your shoes.
- -- Mickey Mouse
- %
- Artificial intelligence has the same relation to intelligence as
- artificial flowers have to flowers.
- -- David Parnas
- %
- "As an adolescent I aspired to lasting fame, I craved factual certainty,
- and I thirsted for a meaningful vision of human life -- so I became a
- scientist. This is like becoming an archbishop so you can meet girls."
- -- Matt Cartmill
- %
- As far as the laws of mathematics refer to reality, they are not
- certain, and as far as they are certain, they do not refer to reality.
- -- Albert Einstein
- %
- As you will see, I told them, in no uncertain terms, to see Figure one.
- -- Dave "First Strike" Pare
- %
- Ask five economists and you'll get five different explanations (six if
- one went to Harvard).
- -- Edgar R. Fiedler
- %
- At any given moment, an arrow must be either where it is or where it is
- not. But obviously it cannot be where it is not. And if it is where
- it is, that is equivalent to saying that it is at rest.
- -- Zeno's paradox of the moving (still?) arrow
- %
- At the heart of science is an essential tension between two seemingly
- contradictory attitudes -- an openness to new ideas, no matter how bizarre
- or counterintuitive they may be, and the most ruthless skeptical scrutiny
- of all ideas, old and new. This is how deep truths are winnowed from deep
- nonsense. Of course, scientists make mistakes in trying to understand the
- world, but there is a built-in error-correcting mechanism: The collective
- enterprise of creative thinking and skeptical thinking together keeps the
- field on track.
- -- Carl Sagan, "The Fine Art of Baloney Detection"
- %
- Back in the early 60's, touch tone phones only had 10 buttons. Some
- military versions had 16, while the 12 button jobs were used only by people
- who had "diva" (digital inquiry, voice answerback) systems -- mainly banks.
- Since in those days, only Western Electric made "data sets" (modems) the
- problems of terminology were all Bell System. We used to struggle with
- written descriptions of dial pads that were unfamiliar to most people
- (most phones were rotary then.) Partly in jest, some AT&T engineering
- types (there was no marketing in the good old days, which is why they were
- the good old days) made up the term "octalthorpe" (note spelling) to denote
- the "pound sign." Presumably because it has 8 points sticking out. It
- never really caught on.
- %
- Base 8 is just like base 10, if you are missing two fingers.
- -- Tom Lehrer
- %
- Before Xerox, five carbons were the maximum extension of anybody's ego.
- %
- Besides the device, the box should contain:
- * Eight little rectangular snippets of paper that say "WARNING"
- * A plastic packet containing four 5/17 inch pilfer grommets and two
- club-ended 6/93 inch boxcar prawns.
-
- YOU WILL NEED TO SUPPLY: a matrix wrench and 60,000 feet of tram cable.
-
- IF ANYTHING IS DAMAGED OR MISSING: You IMMEDIATELY should turn to your spouse
- and say: "Margaret, you know why this country can't make a car that can get
- all the way through the drive-through at Burger King without a major
- transmission overhaul? Because nobody cares, that's why."
-
- WARNING: This is assuming your spouse's name is Margaret.
- -- Dave Barry, "Read This First!"
- %
- Between infinite and short there is a big difference.
- -- G.H. Gonnet
- %
- Biology grows on you.
- %
- Biology is the only science in which multiplication means the same thing
- as division.
- %
- Bistromathics is simply a revolutionary new way of understanding the
- behavior of numbers. Just as Einstein observed that space was not an
- absolute, but depended on the observer's movement in space, and that
- time was not an absolute, but depended on the observer's movement in
- time, so it is now realized that numbers are not absolute, but depend
- on the observer's movement in restaurants.
- -- Douglas Adams
- %
- But it does move!
- -- Galileo Galilei
- %
- But you who live on dreams, you are better pleased with the sophistical
- reasoning and frauds of talkers about great and uncertain matters than
- those who speak of certain and natural matters, not of such lofty nature.
- -- Leonardo Da Vinci, "The Codex on the Flight of Birds"
- %
- Celestial navigation is based on the premise that the Earth is the center
- of the universe. The premise is wrong, but the navigation works. An
- incorrect model can be a useful tool.
- -- Kelvin Throop III
- %
- Chapter 2: Newtonian Growth and Decay
-
- The growth-decay formulas were developed in the trivial fashion by
- Isaac Newton's famous brother Phigg. His idea was to provide an equation
- that would describe a quantity that would dwindle and dwindle, but never
- quite reach zero. Historically, he was merely trying to work out his
- mortgage. Another versatile equation also emerged, one which would define
- a function that would continue to grow, but never reach unity. This equation
- can be applied to charging capacitors, over-damped springs, and the human
- race in general.
- %
- Chemist who falls in acid is absorbed in work.
- %
- Chemist who falls in acid will be tripping for weeks.
- %
- Chemistry is applied theology.
- -- Augustus Stanley Owsley III
- %
- Chemistry professors never die, they just fail to react.
- %
- Congratulations! You have purchased an extremely fine device that would
- give you thousands of years of trouble-free service, except that you
- undoubtably will destroy it via some typical bonehead consumer maneuver.
- Which is why we ask you to PLEASE FOR GOD'S SAKE READ THIS OWNER'S MANUAL
- CAREFULLY BEFORE YOU UNPACK THE DEVICE. YOU ALREADY UNPACKED IT, DIDN'T
- YOU? YOU UNPACKED IT AND PLUGGED IT IN AND TURNED IT ON AND FIDDLED WITH
- THE KNOBS, AND NOW YOUR CHILD, THE SAME CHILD WHO ONCE SHOVED A POLISH
- SAUSAGE INTO YOUR VIDEOCASSETTE RECORDER AND SET IT ON "FAST FORWARD", THIS
- CHILD ALSO IS FIDDLING WITH THE KNOBS, RIGHT? AND YOU'RE JUST NOW STARTING
- TO READ THE INSTRUCTIONS, RIGHT??? WE MIGHT AS WELL JUST BREAK THESE
- DEVICES RIGHT AT THE FACTORY BEFORE WE SHIP THEM OUT, YOU KNOW THAT?
- -- Dave Barry, "Read This First!"
- %
- "Consider a spherical bear, in simple harmonic motion..."
- -- Professor in the UCB physics department
- %
- "Contrariwise," continued Tweedledee, "if it was so, it might be, and
- if it were so, it would be; but as it isn't, it ain't. That's logic!"
- -- Lewis Carroll, "Through the Looking Glass"
- %
- "Deep" is a word like "theory" or "semantic" -- it implies all sorts of
- marvelous things. It's one thing to be able to say "I've got a theory",
- quite another to say "I've got a semantic theory", but, ah, those who can
- claim "I've got a deep semantic theory", they are truly blessed.
- -- Randy Davis
- %
- Did you hear that there's a group of South American Indians that worship
- the number zero?
-
- Is nothing sacred?
- %
- Did you hear that two rabbits escaped from the zoo and so far they have
- only recaptured 116 of them?
- %
- Did you know that if you took all the economists in the world and lined
- them up end to end, they'd still point in the wrong direction?
- %
- Dimensions will always be expressed in the least usable term, convertible
- only through the use of weird and unnatural conversion factors. Velocity,
- for example, will be expressed in furlongs per fortnight.
- %
- Dinosaurs aren't extinct. They've just learned to hide in the trees.
- %
- Do molecular biologists wear designer genes?
- %
- Duct tape is like the force. It has a light side, and a dark side, and
- it holds the universe together ...
- -- Carl Zwanzig
- %
- E = MC ** 2 +- 3db
- %
- Earl Wiener, 55, a University of Miami professor of management science,
- telling the Airline Pilots Association (in jest) about 21st century aircraft:
-
- "The crew will consist of one pilot and a dog. The pilot will
- nurture and feed the dog. The dog will be there to bite the
- pilot if he touches anything.
- -- Fortune, Sept. 26, 1988
- [the *magazine*, silly!]
- %
- Economics is extremely useful as a form of employment for economists.
- -- John Kenneth Galbraith
- %
- Economists can certainly disappoint you. One said that the economy would
- turn up by the last quarter. Well, I'm down to mine and it hasn't.
- -- Robert Orben
- %
- Economists state their GNP growth projections to the nearest tenth of a
- percentage point to prove they have a sense of humor.
- -- Edgar R. Fiedler
- %
- Electricity is actually made up of extremely tiny particles, called
- electrons, that you cannot see with the naked eye unless you have been
- drinking. Electrons travel at the speed of light, which in most American
- homes is 110 volts per hour. This is very fast. In the time it has taken
- you to read this sentence so far, an electron could have traveled all the
- way from San Francisco to Hackensack, New Jersey, although God alone knows
- why it would want to.
-
- The five main kinds of electricity are alternating current, direct current,
- lightning, static, and European. Most American homes have alternating
- current, which means that the electricity goes in one direction for a while,
- then goes in the other direction. This prevents harmful electron buildup in
- the wires.
- -- Dave Barry, "The Taming of the Screw"
- %
- Elegance and truth are inversely related.
- -- Becker's Razor
- %
- Elliptic paraboloids for sale.
- %
- Entropy isn't what it used to be.
- %
- Entropy requires no maintenance.
- -- Markoff Chaney
- %
- Enzymes are things invented by biologists that explain things which
- otherwise require harder thinking.
- -- Jerome Lettvin
- %
- Eureka!
- -- Archimedes
- %
- Every little picofarad has a nanohenry all its own.
- -- Don Vonada
- %
- Every nonzero finite dimensional inner product space has an orthonormal basis.
-
- It makes sense, when you don't think about it.
- %
- Every paper published in a respectable journal should have a preface by
- the author stating why he is publishing the article, and what value he
- sees in it. I have no hope that this practice will ever be adopted.
- -- Morris Kline
- %
- Everyone knows that dragons don't exist. But while this simplistic
- formulation may satisfy the layman, it does not suffice for the scientific
- mind. The School of Higher Neantical Nillity is in fact wholly unconcerned
- with what ____does exist. Indeed, the banality of existence has been
- so amply demonstrated, there is no need for us to discuss it any further
- here. The brilliant Cerebron, attacking the problem analytically,
- discovered three distinct kinds of dragon: the mythical, the chimerical,
- and the purely hypothetical. They were all, one might say, nonexistent,
- but each nonexisted in an entirely different way ...
- -- Stanislaw Lem, "Cyberiad"
- %
- Everything should be made as simple as possible, but not simpler.
- -- Albert Einstein
- %
- Everything that can be invented has been invented.
- -- Charles Duell, Director of U.S. Patent Office, 1899
- %
- Everything you've learned in school as "obvious" becomes less and less
- obvious as you begin to study the universe. For example, there are no
- solids in the universe. There's not even a suggestion of a solid.
- There are no absolute continuums. There are no surfaces. There are no
- straight lines.
- -- R. Buckminster Fuller
- %
- Evolution is as much a fact as the earth turning on its axis and going around
- the sun. At one time this was called the Copernican theory; but, when
- evidence for a theory becomes so overwhelming that no informed person can
- doubt it, it is customary for scientists to call it a fact. That all present
- life descended from earlier forms, over vast stretches of geologic time, is
- as firmly established as Copernican cosmology. Biologists differ only with
- respect to theories about how the process operates.
- -- Martin Gardner, "Irving Kristol and the Facts of Life".
- %
- Experience varies directly with equipment ruined.
- %
- Experiments must be reproducible; they should all fail in the same way.
- %
- Extraordinary claims demand extraordinary proof. There are many examples
- of outsiders who eventually overthrew entrenched scientific orthodoxies,
- but they prevailed with irrefutable data. More often, egregious findings
- that contradict well-established research turn out to be artifacts. I have
- argued that accepting psychic powers, reincarnation, "cosmic conciousness,"
- and the like, would entail fundamental revisions of the foundations of
- neuroscience. Before abandoning materialist theories of mind that have paid
- handsome dividends, we should insist on better evidence for psi phenomena
- than presently exists, especially when neurology and psychology themselves
- offer more plausible alternatives.
- -- Barry L. Beyerstein, "The Brain and Conciousness:
- Implications for Psi Phenomena".
- %
- Factorials were someone's attempt to make math LOOK exciting.
- %
- Facts are stubborn, but statistics are more pliable.
- %
- Federal grants are offered for... research into the recreation
- potential of interplanetary space travel for the culturally disadvantaged.
- %
- Five is a sufficiently close approximation to infinity.
- -- Robert Firth
-
- "One, two, five."
- -- Monty Python and the Holy Grail
- %
- Florence Flask was ... dressing for the opera when she turned to her
- husband and screamed, "Erlenmeyer! My joules! Someone has stolen my
- joules!"
-
- "Now, now, my dear," replied her husband, "keep your balance and reflux
- a moment. Perhaps they're mislead."
-
- "No, I know they're stolen," cried Florence. "I remember putting them
- in my burette ... We must call a copper."
-
- Erlenmeyer did so, and the flatfoot who turned up, one Sherlock Ohms,
- said the outrage looked like the work of an arch-criminal by the name
- of Lawrence Ium.
-
- "We must be careful -- he's a free radical, ultraviolet, and
- dangerous. His girlfriend is a chlorine at the Palladium. Maybe I can
- catch him there." With that, he jumped on his carbon cycle in an
- activated state and sped off along the reaction pathway ...
- -- Daniel B. Murphy, "Precipitations"
- %
- For every complex problem, there is a solution that is simple, neat, and wrong.
- -- H. L. Mencken
- %
- For God's sake, stop researching for a while and begin to think!
- %
- For large values of one, one equals two, for small values of two.
- %
- Fortunately, the responsibility for providing evidence is on the part of
- the person making the claim, not the critic. It is not the responsibility
- of UFO skeptics to prove that a UFO has never existed, nor is it the
- responsibility of paranormal-health-claims skeptics to prove that crystals
- or colored lights never healed anyone. The skeptic's role is to point out
- claims that are not adequately supported by acceptable evidcence and to
- provide plausible alternative explanations that are more in keeping with
- the accepted body of scientific evidence.
- -- Thomas L. Creed, The Skeptical Inquirer, Vol. XII,
- No. 2, pg. 215
- %
- FORTUNE'S FUN FACTS TO KNOW AND TELL: #1
- A guinea pig is not from Guinea but a rodent from South America.
- A firefly is not a fly, but a beetle.
- A giant panda bear is really a member of the racoon family.
- A black panther is really a leopard that has a solid black coat
- rather then a spotted one.
- Peanuts are not really nuts. The majority of nuts grow on trees
- while peauts grow underground. They are classified as a
- legume -- part of the pea family.
- A cucumber is not a vegetable but a fruit.
- %
- FORTUNE'S FUN FACTS TO KNOW AND TELL: #44
- Zebras are colored with dark stripes on a light background.
- %
- FORTUNE'S GUIDE TO DEALING WITH REAL-LIFE SCIENCE FICTION: #14
- What to do...
- if reality disappears?
- Hope this one doesn't happen to you. There isn't much that you
- can do about it. It will probably be quite unpleasant.
-
- if you meet an older version of yourself who has invented a time
- traveling machine, and has come from the future to meet you?
- Play this one by the book. Ask about the stock market and cash in.
- Don't forget to invent a time traveling machine and visit your
- younger self before you die, or you will create a paradox. If you
- expect this to be tricky, make sure to ask for the principles
- behind time travel, and possibly schematics. Never, NEVER, ask
- when you'll die, or if you'll marry your current SO.
- %
- FORTUNE'S GUIDE TO DEALING WITH REAL-LIFE SCIENCE FICTION: #2
- What to do...
- if you get a phone call from Mars:
- Speak slowly and be sure to enunciate your words properly. Limit
- your vocabulary to simple words. Try to determine if you are
- speaking to someone in a leadership capacity, or an ordinary citizen.
-
- if he, she or it doesn't speak English?
- Hang up. There's no sense in trying to learn Martian over the phone.
- If your Martian really had something important to say to you, he, she
- or it would have taken the trouble to learn the language before
- calling.
-
- if you get a phone call from Jupiter?
- Explain to your caller, politely but firmly, that being from Jupiter,
- he, she or it is not "life as we know it". Try to terminate the
- conversation as soon as possible. It will not profit you, and the
- charges may have been reversed.
- %
- FORTUNE'S GUIDE TO DEALING WITH REAL-LIFE SCIENCE FICTION: #6
- What to do...
- if a starship, equipped with an FTL hyperdrive lands in your backyard?
- First of all, do not run after your camera. You will not have any
- film, and, given the state of computer animation, noone will believe
- you anyway. Be polite. Remember, if they have an FTL hyperdrive,
- they can probably vaporize you, should they find you to be rude.
- Direct them to the White House lawn, which is where they probably
- wanted to land, anyway. A good road map should help.
-
- if you wake up in the middle of the night, and discover that your
- closet contains an alternate dimension?
- Don't walk in. You almost certainly will not be able to get back,
- and alternate dimensions are almost never any fun. Remain calm
- and go back to bed. Close the door first, so that the cat does not
- wander off. Check your closet in the morning. If it still contains
- an alternate dimension, nail it shut.
- %
- Friction is a drag.
- %
- Fundamentally, there may be no basis for anything.
- %
- Genetics explains why you look like your father, and if you don't, why
- you should.
- %
- (German philosopher) Georg Wilhelm Hegel, on his deathbed, complained,
- "Only one man ever understood me." He fell silent for a while and then added,
- "And he didn't understand me."
- %
- God doesn't play dice.
- -- Albert Einstein
- %
- God made the integers; all else is the work of Man.
- -- Kronecker
- %
- God may be subtle, but he isn't plain mean.
- -- Albert Einstein
- %
- God runs electromagnetics by wave theory on Monday, Wednesday, and Friday,
- and the Devil runs them by quantum theory on Tuesday, Thursday, and Saturday.
- -- William Bragg
- %
- Going the speed of light is bad for your age.
- %
- Good morning. This is the telephone company. Due to repairs, we're
- giving you advance notice that your service will be cut off indefinitely
- at ten o'clock. That's two minutes from now.
- %
- Gosh that takes me back... or is it forward? That's the trouble with
- time travel, you never can tell."
- -- Doctor Who, "Androids of Tara"
- %
- Got Mole problems? Call Avogadro at 6.02 x 10^23.
- %
- Gravity brings me down.
- %
- Gravity is a myth, the Earth sucks.
- %
- GREAT MOMENTS IN HISTORY (#7): April 2, 1751
-
- Issac Newton becomes discouraged when he falls up a flight of stairs.
- %
- Great spirits have always encountered violent opposition from mediocre minds.
- -- Albert Einstein
-
- They laughed at Einstein. They laughed at the Wright Brothers. But they
- also laughed at Bozo the Clown.
- -- Carl Sagan
- %
- He keeps differentiating, flying off on a tangent.
- %
- He: Let's end it all, bequeathin' our brains to science.
- She: What?!? Science got enough trouble with their OWN brains.
- -- Walt Kelly
- %
- Heard that the next Space Shuttle is supposed to carry several Guernsey cows?
- It's gonna be the herd shot 'round the world.
- %
- Heavier than air flying machines are impossible.
- -- Lord Kelvin, President, Royal Society, c. 1895
- %
- Heisenberg may have been here.
- %
- Heisenberg may have slept here...
- %
- Help fight continental drift.
- %
- Here is a simple experiment that will teach you an important electrical
- lesson: On a cool, dry day, scuff your feet along a carpet, then reach your
- hand into a friend's mouth and touch one of his dental fillings. Did you
- notice how your friend twitched violently and cried out in pain? This
- teaches us that electricity can be a very powerful force, but we must never
- use it to hurt others unless we need to learn an important electrical lesson.
- It also teaches us how an electrical circuit works. When you scuffed
- your feet, you picked up batches of "electrons", which are very small objects
- that carpet manufacturers weave into carpets so they will attract dirt.
- The electrons travel through your bloodstream and collect in your finger,
- where they form a spark that leaps to your friend's filling, then travels
- down to his feet and back into the carpet, thus completing the circuit.
- Amazing Electronic Fact: If you scuffed your feet long enough without
- touching anything, you would build up so many electrons that your finger
- would explode! But this is nothing to worry about unless you have
- carpeting.
- -- Dave Barry, "What is Electricity?"
- %
- Hi! How are things going?
- (just fine, thank you...)
- Great! Say, could I bother you for a question?
- (you just asked one...)
- Well, how about one more?
- (one more than the first one?)
- Yes.
- (you already asked that...)
- [at this point, Alphonso gets smart... ]
- May I ask two questions, sir?
- (no.)
- May I ask ONE then?
- (nope...)
- Then may I ask, sir, how I may ask you a question?
- (yes, you may.)
- Sir, how may I ask you a question?
- (you must ask for retroactive question asking privileges for
- the number of questions you have asked, then ask for that
- number plus two, one for the current question, and one for the
- next one)
- Sir, may I ask nine questions?
- (go right ahead...)
- %
- Houston, Tranquillity Base here. The Eagle has landed.
- -- Neil Armstrong
- %
- How can you do 'New Math' problems with an 'Old Math' mind?
- -- Charles Schulz
- %
- How many weeks are there in a light year?
- %
- How often I found where I should be going only by setting out for somewhere
- else.
- -- R. Buckminster Fuller
- %
- Human beings were created by water to transport it uphill.
- %
- I am not an Economist. I am an honest man!
- -- Paul McCracken
- %
- I cannot believe that God plays dice with the cosmos.
- -- Albert Einstein, on the randomness of quantum mechanics
- %
- I do hate sums. There is no greater mistake than to call arithmetic an
- exact science. There are permutations and aberrations discernible to minds
- entirely noble like mine; subtle variations which ordinary accountants fail
- to discover; hidden laws of number which it requires a mind like mine to
- perceive. For instance, if you add a sum from the bottom up, and then again
- from the top down, the result is always different.
- -- Mrs. La Touche
- %
- I do not remember ever having seen a sustained argument by an author which,
- starting from philosophical premises likely to meet with general acceptance,
- reached the conclusion that a praiseworthy ordering of one's life is to
- devote it to research in mathematics.
- -- Sir Edmund Whittaker, "Scientific American", Vol. 183
- %
- "I don't think so," said Ren'e Descartes. Just then, he vanished.
- %
- I had a feeling once about mathematics -- that I saw it all. Depth beyond
- depth was revealed to me -- the Byss and the Abyss. I saw -- as one might
- see the transit of Venus or even the Lord Mayor's Show -- a quantity passing
- through infinity and changing its sign from plus to minus. I saw exactly
- why it happened and why tergiversation was inevitable -- but it was after
- dinner and I let it go.
- -- Winston Churchill
- %
- I have a theory that it's impossible to prove anything, but I can't prove it.
- %
- "I have examined Bogota," he said, "and the case is clearer to me.
- I think very probably he might be cured."
- "That is what I have always hoped," said old Yacob.
- "His brain is affected," said the blind doctor.
- The elders murmured assent.
- "Now, what affects it?"
- "Ah!" said old Yacob.
- "This," said the doctor, answering his own question. "Those queer
- things that are called the eyes, and which exist to make an agreeable soft
- depression in the face, are diseased, in the case of Bogota, in such a way
- as to affect his brain. They are greatly distended, he has eyelashes, and
- his eyelids move, and cosequently his brain is in a state of constant
- irritation and distraction."
- "Yes?" said old Yacob. "Yes?"
- "And I think I may say with reasonable certainty that, in order
- to cure him completely, all that we need do is a simple and easy surgical
- operation -- namely, to remove those irritant bodies."
- "And then he will be sane?"
- "Then he will be perfectly sane, and a quite admirable citizen."
- "Thank heaven for science!" said old Yacob.
- -- H.G. Wells, "The Country of the Blind"
- %
- I have hardly ever known a mathematician who was capable of reasoning.
- -- Plato
- %
- I have yet to see any problem, however complicated, which, when
- you looked at it in the right way, did not become still more complicated.
- -- Poul Anderson
- %
- I myself have dreamed up a structure intermediate between Dyson spheres
- and planets. Build a ring 93 million miles in radius -- one Earth orbit
- -- around the sun. If we have the mass of Jupiter to work with, and if
- we make it a thousand miles wide, we get a thickness of about a thousand
- feet for the base.
-
- And it has advantages. The Ringworld will be much sturdier than a Dyson
- sphere. We can spin it on its axis for gravity. A rotation speed of 770
- m/s will give us a gravity of one Earth normal. We wouldn't even need to
- roof it over. Place walls one thousand miles high at each edge, facing the
- sun. Very little air will leak over the edges.
-
- Lord knows the thing is roomy enough. With three million times the surface
- area of the Earth, it will be some time before anyone complains of the
- crowding.
- -- Larry Niven, "Ringworld"
- %
- I put up my thumb... and it blotted out the planet Earth.
- -- Neil Armstrong
- %
- I tell them to turn to the study of mathematics, for it is only there that
- they might escape the lusts of the flesh.
- -- Thomas Mann, "The Magic Mountain"
- %
- "I think it is true for all _n. I was just playing it safe with _n >= 3
- because I couldn't remember the proof."
- -- Baker, Pure Math 351a
- %
- I THINK MAN INVENTED THE CAR by instinct.
- -- Jack Handley, The New Mexican, 1988.
- %
- "I think the sky is blue because it's a shift from black through purple
- to blue, and it has to do with where the light is. You know, the
- farther we get into darkness, and there's a shifting of color of light
- into the blueness, and I think as you go farther and farther away from
- the reflected light we have from the sun or the light that's bouncing
- off this earth, uh, the darker it gets ... I think if you look at the
- color scale, you start at black, move it through purple, move it on
- out, it's the shifting of color. We mentioned before about the stars
- singing, and that's one of the effects of the shifting of colors."
- -- Pat Robertson, The 700 Club
- %
- I THINK THERE SHOULD BE SOMETHING in science called the "reindeer effect."
- I don't know what it would be, but I think it'd be good to hear someone say,
- "Gentlemen, what we have here is a terrifying example of the reindeer effect."
- -- Jack Handley, The New Mexican, 1988.
- %
- I THINK THEY SHOULD CONTINUE the policy of not giving a Nobel Prize for
- paneling.
- -- Jack Handley, The New Mexican, 1988.
- %
- I use technology in order to hate it more properly.
- -- Nam June Paik
- %
- I would have you imagine, then, that there exists in the mind of man a block
- of wax... and that we remember and know what is imprinted as long as the
- image lasts; but when the image is effaced, or cannot be taken, then we
- forget or do not know.
- -- Plato, Dialogs, Theateus 191
-
- [Quoted in "VMS Internals and Data Structures", V4.4, when
- referring to image activation and termination.]
- %
- I'm often asked the question, "Do you think there is extraterrestrial intelli-
- gence?" I give the standard arguments -- there are a lot of places out there,
- and use the word *billions*, and so on. And then I say it would be astonishing
- to me if there weren't extraterrestrial intelligence, but of course there is as
- yet no compelling evidence for it. And then I'm asked, "Yeah, but what do you
- really think?" I say, "I just told you what I really think." "Yeah, but
- what's your gut feeling?" But I try not to think with my gut. Really, it's
- okay to reserve judgment until the evidence is in.
- -- Carl Sagan
- %
- If A = B and B = C, then A = C, except where void or prohibited by law.
- -- Roy Santoro
- %
- If a camel is a horse designed by a committee, then a consensus forecast is a
- camel's behind.
- -- Edgar R. Fiedler
- %
- If A equals success, then the formula is _A = _X + _Y + _Z. _X is work. _Y
- is play. _Z is keep your mouth shut.
- -- Albert Einstein
- %
- If all else fails, immortality can always be assured by spectacular error.
- -- John Kenneth Galbraith
- %
- If all the world's economists were laid end to end, we wouldn't reach a
- conclusion.
- -- William Baumol
- %
- If an experiment works, something has gone wrong.
- %
- If entropy is increasing, where is it coming from?
- %
- If for every rule there is an exception, then we have established that there
- is an exception to every rule. If we accept "For every rule there is an
- exception" as a rule, then we must concede that there may not be an exception
- after all, since the rule states that there is always the possibility of
- exception, and if we follow it to its logical end we must agree that there
- can be an exception to the rule that for every rule there is an exception.
- -- Bill Boquist
- %
- If God is perfect, why did He create discontinuous functions?
- %
- If I had only known, I would have been a locksmith.
- -- Albert Einstein
- %
- If I have not seen so far it is because I stood in giant's footsteps.
- %
- If I set here and stare at nothing long enough, people might think
- I'm an engineer working on something.
- -- S.R. McElroy
- %
- If in any problem you find yourself doing an immense amount of work, the
- answer can be obtained by simple inspection.
- %
- If it is a Miracle, any sort of evidence will answer, but if it is a Fact,
- proof is necessary.
- -- Samuel Clemens
- %
- If it smells it's chemistry, if it crawls it's biology, if it doesn't work
- it's physics.
- %
- If it wasn't for Newton, we wouldn't have to eat bruised apples.
- %
- If mathematically you end up with the wrong answer, try multiplying by
- the page number.
- %
- If scientific reasoning were limited to the logical processes of
- arithmetic, we should not get very far in our understanding of the physical
- world. One might as well attempt to grasp the game of poker entirely by
- the use of the mathematics of probability.
- -- Vannevar Bush
- %
- If the aborigine drafted an IQ test, all of Western civilization would
- presumably flunk it.
- -- Stanley Garn
- %
- If the facts don't fit the theory, change the facts.
- -- Albert Einstein
- %
- If the human brain were so simple that we could understand it,
- we would be so simple we couldn't.
- %
- If they can make penicillin out of moldy bread, they can sure make
- something out of you.
- -- Muhammad Ali
- %
- "If value corrupts then absolute value corrupts absolutely."
- %
- If you analyse anything, you destroy it.
- -- Arthur Miller
- %
- If you are smart enough to know that you're not smart enough to be an
- Engineer, then you're in Business.
- %
- If you can't understand it, it is intuitively obvious.
- %
- If you haven't enjoyed the material in the last few lectures then a career
- in chartered accountancy beckons.
- -- Advice from the lecturer in the middle of the Stochastic
- Systems course.
- %
- If you push the "extra ice" button on the soft drink vending machine, you won't
- get any ice. If you push the "no ice" button, you'll get ice, but no cup.
- %
- If you rap your knuckles against a window jamb or door, if you
- brush your leg against a bed or desk, if you catch your foot in a curled-
- up corner of a rug, or strike a toe against a desk or chair, go back and
- repeat the sequence.
- You will find yourself surprised how far off course you were to
- hit that window jamb, that door, that chair. Get back on course and do it
- again. How can you pilot a spacecraft if you can't find your way around
- your own apartment?
- -- William S. Burroughs
- %
- If you steal from one author it's plagiarism; if you steal from
- many it's research.
- -- Wilson Mizner
- %
- If you're not part of the solution, you're part of the precipitate.
- %
- Imagination is more important than knowledge.
- -- Albert Einstein
- %
- In 1750 Issac Newton became discouraged when he fell up a flight of stairs.
- %
- In 1869 the waffle iron was invented for people who had wrinkled waffles.
- %
- In a minimum-phase system there is an inextricable link between
- frequency response, phase response and transient response, as they
- are all merely transforms of one another. This combined with
- minimalization of open-loop errors in output amplifiers and correct
- compensation for non-linear passive crossover network loading can
- lead to a significant decrease in system resolution lost. However,
- this all means jack when you listen to Pink Floyd.
- %
- IN MY OPINION anyone interested in improving himself should not rule out
- becoming pure energy.
- -- Jack Handley, The New Mexican, 1988.
- %
- In Nature there are neither rewards nor punishments, there are consequences.
- -- R.G. Ingersoll
- %
- In order to dial out, it is necessary to broaden one's dimension.
- %
- "In order to make an apple pie from scratch, you must first create the
- universe."
- -- Carl Sagan, Cosmos
- %
- In science it often happens that scientists say, 'You know that's a really
- good argument; my position is mistaken,' and then they actually change
- their minds and you never hear that old view from them again. They really
- do it. It doesn't happen as often as it should, because scientists are
- human and change is sometimes painful. But it happens every day. I cannot
- recall the last time something like that happened in politics or religion.
- -- Carl Sagan, 1987 CSICOP keynote address
- %
- "In short, _N is Richardian if, and only if, _N is not Richardian."
- %
- In specifications, Murphy's Law supersedes Ohm's.
- %
- In the beginning there was nothing. And the Lord said "Let There Be Light!"
- And still there was nothing, but at least now you could see it.
- %
- In the beginning there was only one kind of Mathematician, created by
- the Great Mathamatical Spirit form the Book: the Topologist. And they grew to
- large numbers and prospered.
- One day they looked up in the heavens and desired to reach up as far
- as the eye could see. So they set out in building a Mathematical edifice that
- was to reach up as far as "up" went. Further and further up they went ...
- until one night the edifice collapsed under the weight of paradox.
- The following morning saw only rubble where there once was a huge
- structure reaching to the heavens. One by one, the Mathematicians climbed
- out from under the rubble. It was a miracle that nobody was killed; but when
- they began to speak to one another, SUPRISE of all suprises! they could not
- understand each other. They all spoke different languages. They all fought
- amongst themselves and each went about their own way. To this day the
- Topologists remain the original Mathematicians.
- -- The Story of Babel
- %
- In the course of reading Hadamard's "The Psychology of Invention in the
- Mathematical Field", I have come across evidence supporting a fact
- which we coffee achievers have long appreciated: no really creative,
- intelligent thought is possible without a good cup of coffee. On page
- 14, Hadamard is discussing Poincare's theory of fuchsian groups and
- fuchsian functions, which he describes as "... one of his greatest
- discoveries, the first which consecrated his glory ..." Hadamard refers
- to Poincare having had a "... sleepless night which initiated all that
- memorable work ..." and gives the following, very revealing quote:
-
- "One evening, contrary to my custom, I drank black coffee and
- could not sleep. Ideas rose in crowds; I felt them collide
- until pairs interlocked, so to speak, making a stable
- combination."
-
- Too bad drinking black coffee was contrary to his custom. Maybe he
- could really have amounted to something as a coffee achiever.
- %
- In theory, there is no difference between theory and practice. In practice,
- there is.
- %
- In these matters the only certainty is that there is nothing certain.
- -- Pliny the Elder
- %
- "In this replacement Earth we're building they've given me Africa
- to do and of course I'm doing it with all fjords again because I happen to
- like them, and I'm old-fashioned enough to think that they give a lovely
- baroque feel to a continent. And they tell me it's not equatorial enough.
- Equatorial!" He gave a hollow laugh. "What does it matter? Science has
- achieved some wonderful things, of course, but I'd far rather be happy than
- right any day."
- "And are you?"
- "No. That's where it all falls down, of course."
- "Pity," said Arthur with sympathy. "It sounded like quite a good
- life-style otherwise."
- -- Douglas Adams, "The Hitchhiker's Guide to the Galaxy"
- %
- Information is the inverse of entropy.
- %
- Interchangeable parts won't.
- %
- Invest in physics -- own a piece of Dirac!
- %
- "Irrationality is the square root of all evil"
- -- Douglas Hofstadter
- %
- Is knowledge knowable? If not, how do we know that?
- %
- Isn't it interesting that the same people who laugh at science fiction
- listen to weather forecasts and economists?
- -- Kelvin Throop III
- %
- Isn't it strange that the same people that laugh at gypsy fortune
- tellers take economists seriously?
- %
- "It could be that Walter's horse has wings" does not imply that there is
- any such animal as Walter's horse, only that there could be; but "Walter's
- horse is a thing which could have wings" does imply Walter's horse's
- existence. But the conjunction "Walter's horse exists, and it could be
- that Walter's horse has wings" still does not imply "Walter's horse is a
- thing that could have wings", for perhaps it can only be that Walter's
- horse has wings by Walter having a different horse. Nor does "Walter's
- horse is a thing which could have wings" conversely imply "It could be that
- Walter's horse has wings"; for it might be that Walter's horse could only
- have wings by not being Walter's horse.
-
- I would deny, though, that the formula [Necessarily if some x has property P
- then some x has property P] expresses a logical law, since P(x) could stand
- for, let us say "x is a better logician than I am", and the statement "It is
- necessary that if someone is a better logician than I am then someone is a
- better logician than I am" is false because there need not have been any me.
- -- A.N. Prior, "Time and Modality"
- %
- It has just been discovered that research causes cancer in rats.
- %
- It is contrary to reasoning to say that there is a vacuum or space in
- which there is absolutely nothing.
- -- Descartes
- %
- It is impossible to travel faster than light, and certainly not desirable,
- as one's hat keeps blowing off.
- -- Woody Allen
- %
- It is much easier to suggest solutions when you know nothing about the problem.
- %
- It is not every question that deserves an answer.
- -- Publilius Syrus
- %
- It is not for me to attempt to fathom the inscrutable workings of Providence.
- -- The Earl of Birkenhead
- %
- It is not that polar co-ordinates are complicated, it is simply
- that cartesian co-ordinates are simpler than they have a right to be.
- -- Kleppner & Kolenhow, "An Introduction to Mechanics"
- %
- It is now quite lawful for a Catholic woman to avoid pregnancy by a resort to
- mathematics, though she is still forbidden to resort to physics and chemistry.
- -- H.L. Mencken
- %
- It is true that if your paperboy throws your paper into the bushes for five
- straight days it can be explained by Newton's Law of Gravity. But it takes
- Murphy's law to explain why it is happening to you.
- %
- It seems intuitively obvious to me, which means that it might be wrong.
- -- Chris Torek
- %
- It seems that more and more mathematicians are using a new, high level
- language named "research student".
- %
- "It's easier said than done."
-
- ... and if you don't believe it, try proving that it's easier done than
- said, and you'll see that "it's easier said that `it's easier done than
- said' than it is done", which really proves that "it's easier said than
- done".
- %
- It's hard to think of you as the end result of millions of years of evolution.
- %
- It's later than you think, the joint Russian-American space mission has
- already begun.
- %
- It's not an optical illusion, it just looks like one.
- -- Phil White
- %
- It's not hard to admit errors that are [only] cosmetically wrong.
- -- J.K. Galbraith
- %
- Just because they are called 'forbidden' transitions does not mean that they
- are forbidden. They are less allowed than allowed transitions, if you see
- what I mean.
- -- From a Part 2 Quantum Mechanics lecture.
- %
- Kleeneness is next to Godelness.
- %
- Klein bottle for rent -- inquire within.
- %
- Last yeer I kudn't spel Engineer. Now I are won.
- %
- Lawrence Radiation Laboratory keeps all its data in an old gray trunk.
- %
- Life is a biochemical reaction to the stimulus of the surrounding
- environment in a stable ecosphere, while a bowl of cherries is a
- round container filled with little red fruits on sticks.
- %
- Life is a whim of several billion cells to be you for a while.
- %
- Life is difficult because it is non-linear.
- %
- Logic is a little bird, sitting in a tree; that smells *_____awful*.
- %
- Logic is a pretty flower that smells bad.
- %
- Logic is a systematic method of coming to the wrong conclusion with confidence.
- %
- Logic is the chastity belt of the mind!
- %
- Love makes the world go 'round, with a little help from intrinsic angular
- momentum.
- %
- Lucas is the source of many of the components of the legendarily reliable
- British automotive electrical systems. Professionals call the company "The
- Prince of Darkness". Of course, if Lucas were to design and manufacture
- nuclear weapons, World War III would never get off the ground. The British
- don't like warm beer any more than the Americans do. The British drink warm
- beer because they have Lucas refrigerators.
- %
- Ma Bell is a mean mother!
- %
- Machines have less problems. I'd like to be a machine.
- -- Andy Warhol
- %
- Make it myself? But I'm a physical organic chemist!
- %
- Make it right before you make it faster.
- %
- Man will never fly. Space travel is merely a dream. All aspirin is alike.
- %
- MATH AND ALCOHOL DON'T MIX!
- Please, don't drink and derive.
-
- Mathematicians
- Against
- Drunk
- Deriving
- %
- Math is like love -- a simple idea but it can get complicated.
- -- R. Drabek
- %
- Mathematicians are like Frenchmen: whatever you say to them they translate
- into their own language and forthwith it is something entirely different.
- -- Johann Wolfgang von Goethe
- %
- Mathematicians often resort to something called Hilbert space, which is
- described as being n-dimensional. Like modern sex, any number can play.
- -- Dr. Thor Wald, "Beep/The Quincunx of Time", by James Blish
- %
- Mathematicians practice absolute freedom.
- -- Henry Adams
- %
- Mathematics deals exclusively with the relations of concepts
- to each other without consideration of their relation to experience.
- -- Albert Einstein
- %
- Mathematics is the only science where one never knows what
- one is talking about nor whether what is said is true.
- -- Russell
- %
- Mathematics, rightly viewed, possesses not only truth but supreme beauty --
- a beauty cold and austere, like that of a sculpture, without appeal to any
- part of our weaker nature, without the gorgeous trapping of painting or music,
- yet sublimely pure, and capable of a stern perfection such as only the
- greatest art can show. The true spirit of delight, the exaltation, the sense
- of being more than man, which is the touchstone of the highest excellence, is
- to be found in mathematics as surely as in poetry.
- -- Bertrand Russell
- %
- Matter cannot be created or destroyed, nor can it be returned without a receipt.
- %
- Matter will be damaged in direct proportion to its value.
- %
- Measure twice, cut once.
- %
- Measure with a micrometer. Mark with chalk. Cut with an axe.
- %
- Mediocrity finds safety in standardization.
- -- Frederick Crane
- %
- Men love to wonder, and that is the seed of science.
- %
- Men occasionally stumble over the truth, but most of them pick themselves
- up and hurry off as if nothing had happened.
- -- Winston Churchill
- %
- Modern psychology takes completely for granted that behavior and neural
- function are perfectly correlated, that one is completely caused by the
- other. There is no separate soul or lifeforce to stick a finger into the
- brain now and then and make neural cells do what they would not otherwise.
- Actually, of course, this is a working assumption only. ... It is quite
- conceivable that someday the assumption will have to be rejected. But it
- is important also to see that we have not reached that day yet: the working
- assumption is a necessary one and there is no real evidence opposed to it.
- Our failure to solve a problem so far does not make it insoluble. One cannot
- logically be a determinist in physics and biology, and a mystic in psychology.
- -- D.O. Hebb, "Organization of Behavior: A Neuropsychological
- Theory", 1949
- %
- More than any time in history, mankind now faces a crossroads. One path
- leads to despair and utter hopelessness, the other to total extinction.
- Let us pray that we have the wisdom to choose correctly.
- -- Woody Allen, "Side Effects"
- %
- "Multiply in your head" (ordered the compassionate Dr. Adams) "365,365,365,
- 365,365,365 by 365,365,365,365,365,365". He [ten-year-old Truman Henry
- Safford] flew around the room like a top, pulled his pantaloons over the
- tops of his boots, bit his hands, rolled his eyes in their sockets, sometimes
- smiling and talking, and then seeming to be in an agony, until, in not more
- than one minute, said he, 133,491,850,208,566,925,016,658,299,941,583,255!"
- An electronic computer might do the job a little faster but it wouldn't be
- as much fun to watch.
- -- James R. Newman, "The World of Mathematics"
- %
- Murphy's Law, that brash proletarian restatement of Godel's Theorem.
- -- Thomas Pynchon, "Gravity's Rainbow"
- %
- My geometry teacher was sometimes acute, and sometimes obtuse, but always,
- always, he was right.
- [That's an interesting angle. I wonder if there are any parallels?]
- %
- My message is not that biological determinists were bad scientists or
- even that they were always wrong. Rather, I believe that science must be
- understood as a social phenomenon, a gutsy, human enterprise, not the work of
- robots programmed to collect pure information. I also present this view as
- an upbeat for science, not as a gloomy epitaph for a noble hope sacrificed on
- the alter of human limitations.
- I believe that a factual reality exists and that science, though often
- in an obtuse and erratic manner, can learn about it. Galileo was not shown
- the instruments of torture in an abstract debate about lunar motion. He had
- threatened the Church's conventional argument for social and doctrinal
- stability: the static world order with planets circling about a central
- earth, priests subordinate to the Pope and serfs to their lord. But the
- Church soon made its peace with Galileo's cosmology. They had no choice; the
- earth really does revolve about the sun.
- -- S.J. Gould, "The Mismeasure of Man"
- %
- Mystics always hope that science will some day overtake them.
- -- Booth Tarkington
- %
- Natural laws have no pity.
- %
- Nature abhors a hero. For one thing, he violates the law of conservation
- of energy. For another, how can it be the survival of the fittest when the
- fittest keeps putting himself in situations where he is most likely to be
- creamed?
- -- Solomon Short
- %
- Nature always sides with the hidden flaw.
- %
- Nature is by and large to be found out of doors, a location where,
- it cannot be argued, there are never enough comfortable chairs.
- -- Fran Lebowitz
- %
- Nature, to be commanded, must be obeyed.
- -- Francis Bacon
- %
- Neil Armstrong tripped.
- %
- Neutrinos are into physicists.
- %
- Neutrinos have bad breadth.
- %
- Never worry about theory as long as the machinery does what it's supposed to do.
- -- R. A. Heinlein
- %
- No amount of careful planning will ever replace dumb luck.
- %
- No amount of genius can overcome a preoccupation with detail.
- %
- Nondeterminism means never having to say you are wrong.
- %
- Nonsense. Space is blue and birds fly through it.
- -- Heisenberg
- %
- Not far from here, by a white sun, behind a green star, lived the
- Steelypips, illustrious, industrious, and they hadn't a care: no spats in
- their vats, no rules, no schools, no gloom, no evil influence of the
- moon, no trouble from matter or antimatter -- for they had a machine, a
- dream of a machine, with springs and gears and perfect in every respect.
- And they lived with it, and on it, and under it, and inside it, for it
- was all they had -- first they saved up all their atoms, then they put
- them all together, and if one didn't fit, why they chipped at it a bit,
- and everything was just fine ...
- -- Stanislaw Lem, "Cyberiad"
- %
- Nothing is faster than the speed of light ...
-
- To prove this to yourself, try opening the refrigerator door before the
- light comes on.
- %
- Nothing is rich but the inexhaustible wealth of nature.
- She shows us only surfaces, but she is a million fathoms deep.
- -- Ralph Waldo Emerson
- %
- Nuclear powered vacuuum cleaners will probably be a reality within 10 years.
- -- Alex Lewyt (President of the Lewyt Corporation,
- manufacturers of vacuum cleaners), quoted in The New York
- Times, June 10, 1955.
- %
- Numeric stability is probably not all that important when you're guessing.
- %
- "Obviously, a major malfunction has occurred."
- -- Steve Nesbitt, voice of Mission Control, January 28,
- 1986, as the shuttle Challenger exploded within view
- of the grandstands.
- %
- Of course you can't flap your arms and fly to the moon. After a while you'd
- run out of air to push against.
- %
- Often statistics are used as a drunken man uses lampposts -- for support
- rather than illumination.
- %
- On a paper submitted by a physicist colleague:
-
- "This isn't right. This isn't even wrong."
- -- Wolfgang Pauli
- %
- Once upon a time, when I was training to be a mathematician, a group of
- us bright young students taking number theory discovered the names of the
- smaller prime numbers.
-
- 2: The Odd Prime --
- It's the only even prime, therefore is odd. QED.
- 3: The True Prime --
- Lewis Carroll: "If I tell you 3 times, it's true."
- 31: The Arbitrary Prime --
- Determined by unanimous unvote. We needed an arbitrary prime in
- case the prof asked for one, and so had an election. 91 received
- the most votes (well, it *looks* prime) and 3+4i the next most.
- However, 31 was the only candidate to receive none at all.
- 41: The Female Prime --
- The polynomial X**2 - X + 41 is
- prime for integer values from 1 to 40.
- 43: The Male Prime - they form a prime pair.
-
- Since the composite numbers are formed from primes, their qualities
- are derived from those primes. So, for instance, the number 6 is "odd
- but true", while the powers of 2 are all extremely odd numbers.
- %
- Once, when the secrets of science were the jealously guarded property
- of a small priesthood, the common man had no hope of mastering their arcane
- complexities. Years of study in musty classrooms were prerequisite to
- obtaining even a dim, incoherent knowledge of science.
- Today all that has changed: a dim, incoherent knowledge of science is
- available to anyone.
- -- Tom Weller, "Science Made Stupid"
- %
- One Bell System - it sometimes works.
- %
- One Bell System - it used to work before they installed the Dimension!
- %
- One Bell System - it works.
- %
- One can search the brain with a microscope and not find the
- mind, and can search the stars with a telescope and not find God.
- -- J. Gustav White
- %
- One can't proceed from the informal to the formal by formal means.
- %
- One could not be a successful scientist without realizing that, in contrast
- to the popular conception supported by newspapers and mothers of scientists,
- a goodly number of scientists are not only narrow-minded and dull, but also
- just stupid.
- -- J.D. Watson, "The Double Helix"
- %
- One day this guy is finally fed up with his middle-class existence and
- decides to do something about it. He calls up his best friend, who is a
- mathematical genius. "Look," he says, "do you suppose you could find some
- way mathematically of guaranteeing winning at the race track? We could
- make a lot of money and retire and enjoy life." The mathematician thinks
- this over a bit and walks away mumbling to himself.
- A week later his friend drops by to ask the genius if he's had any
- success. The genius, looking a little bleary-eyed, replies, "Well, yes,
- actually I do have an idea, and I'm reasonably sure that it will work, but
- there a number of details to be figured out.
- After the second week the mathematician appears at his friend's house,
- looking quite a bit rumpled, and announces, "I think I've got it! I still have
- some of the theory to work out, but now I'm certain that I'm on the right
- track."
- At the end of the third week the mathematician wakes his friend by
- pounding on his door at three in the morning. He has dark circles under his
- eyes. His hair hasn't been combed for many days. He appears to be wearing
- the same clothes as the last time. He has several pencils sticking out from
- behind his ears and an almost maniacal expression on his face. "WE CAN DO
- IT! WE CAN DO IT!!" he shrieks. "I have discovered the perfect solution!!
- And it's so EASY! First, we assume that horses are perfect spheres in simple
- harmonic motion..."
- %
- One has to look out for engineers -- they begin with sewing machines
- and end up with the atomic bomb.
- -- Marcel Pagnol
- %
- One man's "magic" is another man's engineering. "Supernatural" is a null word.
- -- Robert Heinlein
- %
- One man's constant is another man's variable.
- -- A.J. Perlis
- %
- One of the chief duties of the mathematician in acting as an advisor...
- is to discourage... from expecting too much from mathematics.
- -- N. Wiener
- %
- One small step for man, one giant stumble for mankind.
- %
- One thing they don't tell you about doing experimental physics is that
- sometimes you must work under adverse conditions... like a state of sheer
- terror.
- -- W.K. Hartmann
- %
- Only God can make random selections.
- %
- Ontogeny recapitulates phylogeny.
- %
- Optimization hinders evolution.
- %
- Order and simplification are the first steps toward mastery of a subject
- -- the actual enemy is the unknown.
- -- Thomas Mann
- %
- Organic chemistry is the chemistry of carbon compounds. Biochemistry
- is the study of carbon compounds that crawl.
- -- Mike Adams
- %
- "Our vision is to speed up time, eventually eliminating it."
- -- Alex Schure
- %
- Oxygen is a very toxic gas and an extreme fire hazard. It is fatal in
- concentrations of as little as 0.000001 p.p.m. Humans exposed to the
- oxygen concentrations die within a few minutes. Symptoms resemble very
- much those of cyanide poisoning (blue face, etc.). In higher
- concentrations, e.g. 20%, the toxic effect is somewhat delayed and it
- takes about 2.5 billion inhalations before death takes place. The reason
- for the delay is the difference in the mechanism of the toxic effect of
- oxygen in 20% concentration. It apparently contributes to a complex
- process called aging, of which very little is known, except that it is
- always fatal.
-
- However, the main disadvantage of the 20% oxygen concentration is in the
- fact it is habit forming. The first inhalation (occurring at birth) is
- sufficient to make oxygen addiction permanent. After that, any
- considerable decrease in the daily oxygen doses results in death with
- symptoms resembling those of cyanide poisoning.
-
- Oxygen is an extreme fire hazard. All of the fires that were reported in
- the continental U.S. for the period of the past 25 years were found to be
- due to the presence of this gas in the atmosphere surrounding the buildings
- in question.
-
- Oxygen is especially dangerous because it is odorless, colorless and
- tasteless, so that its presence can not be readily detected until it is
- too late.
- -- Chemical & Engineering News February 6, 1956
- %
- Parallel lines never meet, unless you bend one or both of them.
- %
- Parts that positively cannot be assembled in improper order will be.
- %
- People who go to conferences are the ones who shouldn't.
- %
- Philogyny recapitulates erogeny; erogeny recapitulates philogyny.
- %
- "Picture the sun as the origin of two intersecting 6-dimensional
- hyperplanes from which we can deduce a certain transformational
- sequence which gives us the terminal velocity of a rubber duck ..."
- %
- Pie are not square. Pie are round. Cornbread are square.
- %
- Polymer physicists are into chains.
- %
- Pound for pound, the amoeba is the most vicious animal on earth.
- %
- Power corrupts. And atomic power corrupts atomically.
- %
- Progress means replacing a theory that is wrong with one more subtly wrong.
- %
- Proof techniques #1: Proof by Induction.
-
- This technique is used on equations with "_n" in them. Induction
- techniques are very popular, even the military used them.
-
- SAMPLE: Proof of induction without proof of induction.
-
- We know it's true for _n equal to 1. Now assume that it's true
- for every natural number less than _n. _N is arbitrary, so we can take _n
- as large as we want. If _n is sufficiently large, the case of _n+1 is
- trivially equivalent, so the only important _n are _n less than _n. We
- can take _n = _n (from above), so it's true for _n+1 because it's just
- about _n.
- QED. (QED translates from the Latin as "So what?")
- %
- ... proper attention to Earthly needs of the poor, the depressed and the
- downtrodden, would naturally evolve from dynamic, articulate, spirited
- awareness of the great goals for Man and the society he conspired to erect.
- -- David Baker, paraphrasing Harold Urey, in
- "The History of Manned Space Flight"
- %
- Prototype designs always work.
- -- Don Vonada
- %
- "Protozoa are small, and bacteria are small, but viruses are smaller
- than the both put together."
- %
- Psychologists think they're experimental psychologists.
- Experimental psychologists think they're biologists.
- Biologists think they're biochemists.
- Biochemists think they're chemists.
- Chemists think they're physical chemists.
- Physical chemists think they're physicists.
- Physicists think they're theoretical physicists.
- Theoretical physicists think they're mathematicians.
- Mathematicians think they're metamathematicians.
- Metamathematicians think they're philosophers.
- Philosophers think they're gods.
- %
- Quantum Mechanics is a lovely introduction to Hilbert Spaces!
- -- Overheard at last year's Archimedeans' Garden Party
- %
- Quantum Mechanics is God's version of "Trust me."
- %
- Quark! Quark! Beware the quantum duck!
- %
- Radioactive cats have 18 half-lives.
- %
- Reality must take precedence over public relations, for Mother Nature
- cannot be fooled.
- -- R.P. Feynman
- %
- Recession is when your neighbor loses his job. Depression is when you
- lose your job. These economic downturns are very difficult to predict,
- but sophisticated econometric modeling houses like Data Resources and
- Chase Econometrics have successfully predicted 14 of the last 3 recessions.
- %
- "Reintegration complete," ZORAC advised. "We're back in the
- universe again..." An unusually long pause followed, "...but I don't
- know which part. We seem to have changed our position in space." A
- spherical display in the middle of the floor illuminated to show the
- starfield surrounding the ship.
- "Several large, artificial constructions are approaching us,"
- ZORAC announced after a short pause. "The designs are not familiar, but
- they are obviously the products of intelligence. Implications: we have
- been intercepted deliberately by a means unknown, for a purpose unknown,
- and transferred to a place unknown by a form of intelligence unknown.
- Apart from the unknowns, everything is obvious."
- -- James P. Hogan, "Giants Star"
- %
- Remember Darwin; building a better mousetrap merely results in smarter mice.
- %
- Research is the best place to be: you work your buns off, and if it works
- you're a hero; if it doesn't, well -- nobody else has done it yet either,
- so you're still a valiant nerd.
- %
- Research is to see what everybody else has seen, and think what nobody
- else has thought.
- %
- Research is what I'm doing when I don't know what I'm doing.
- -- Wernher von Braun
- %
- Review Questions
-
- (1) If Nerd on the planet Nutley starts out in his spaceship at 20 KPH,
- and his speed doubles every 3.2 seconds, how long will it be before
- he exceeds the speed of light? How long will it be before the
- Galactic Patrol picks up the pieces of his spaceship?
-
- (2) If Roger Rowdy wrecks his car every week, and each week he breaks
- twice as many bones as before, how long will it be before he breaks
- every bone in his body? How long will it be before they cut off
- his insurance? Where does he get a new car every week?
-
- (3) If Johnson drinks one beer the first hour (slow start), four beers
- the next hour, nine beers the next, etc., and stacks the cans in a
- pyramid, how soon will Johnson's pyramid be larger than King
- Tut's? When will it fall on him? Will he notice?
- %
- Round Numbers are always false.
- -- Samuel Johnson
- %
- Saliva causes cancer, but only if swallowed in small amounts over a long
- period of time.
- -- George Carlin
- %
- Science and religion are in full accord but science and faith are in complete
- discord.
- %
- Science is built up of facts, as a house is with stones. But a collection
- of facts is no more a science than a heap of stones is a house.
- -- Jules Henri Poincar'e
- %
- Science is what happens when preconception meets verification.
- %
- Science may someday discover what faith has always known.
- %
- Scientists are people who build the Brooklyn Bridge and then buy it.
- -- William Buckley
- %
- Sentient plasmoids are a gas.
- %
- Simplicity does not precede complexity, but follows it.
- %
- So as your consumer electronics adviser, I am advising you to donate your
- current VCR to a grate resident, who will laugh sardonically and hurl it
- into a dumpster. Then I want you to go out and purchase a vast array of
- 8-millimeter video equipment.
-
- ... OK! Got everything? Well, *too bad, sucker*, because while you were
- gone the electronics industry came up with an even newer format that makes
- your 8-millimeter VCR look as technologically advanced as toenail dirt.
- This format is called "3.5 hectare" and it will not be made available until
- it is outmoded, sometime early next week, by a format called "Elroy", so
- *order yours now*.
- -- Dave Barry, "No Surrender in the Electronics Revolution"
- %
- Solutions are obvious if one only has the optical power to observe them
- over the horizon.
- -- K.A. Arsdall
- %
- Space is big. You just won't believe how vastly, hugely, mind-bogglingly
- big it is. I mean, you may think it's a long way down the road to the
- drug store, but that's just peanuts to space.
- -- The Hitchhiker's Guide to the Galaxy
- %
- Space is to place as eternity is to time.
- -- Joseph Joubert
- %
- Space tells matter how to move and matter tells space how to curve.
- -- Wheeler
- %
- Statistics are no substitute for judgement.
- -- Henry Clay
- %
- Statistics means never having to say you're certain.
- %
- Stellar rays prove fibbing never pays. Embezzlement is another matter.
- %
- Stuckness shouldn't be avoided. It's the psychic predecessor of all
- real understanding. An egoless acceptance of stuckness is a key to an
- understanding of all Quality, in mechanical work as in other endeavors.
- -- R. Pirsig, "Zen and the Art of Motorcycle Maintenance"
- %
- Supervisor: Do you think you understand the basic ideas of Quantum Mechanics?
- Supervisee: Ah! Well, what do we mean by "to understand" in the context of
- Quantum Mechanics?
- Supervisor: You mean "No", don't you?
- Supervisee: Yes.
- -- Overheard at a supervision.
- %
- Support bacteria -- it's the only culture some people have!
- %
- Take an astronaut to launch.
- %
- Technological progress has merely provided us with more efficient means
- for going backwards.
- -- Aldous Huxley
- %
- Technology is dominated by those who manage what they do not understand.
- %
- That's one small step for a man; one giant leap for mankind.
- -- Neil Armstrong
- %
- The White Rabbit put on his spectacles.
- "Where shall I begin, please your Majesty ?" he asked.
- "Begin at the beginning,", the King said, very gravely, "and go on
- till you come to the end: then stop."
- -- Lewis Carroll
- %
- The aim of science is to seek the simplest explanations of complex
- facts. Seek simplicity and distrust it.
- -- Whitehead.
- %
- The amount of time between slipping on the peel and landing on the
- pavement is precisely 1 bananosecond.
- %
- The amount of weight an evangelist carries with the almighty is measured
- in billigrahams.
- %
- The ark lands after The Flood. Noah lets all the animals out. Says he, "Go
- and multiply." Several months pass. Noah decides to check up on the animals.
- All are doing fine except a pair of snakes. "What's the problem?" says Noah.
- "Cut down some trees and let us live there", say the snakes. Noah follows
- their advice. Several more weeks pass. Noah checks on the snakes again.
- Lots of little snakes, everybody is happy. Noah asks, "Want to tell me how
- the trees helped?" "Certainly", say the snakes. "We're adders, and we need
- logs to multiply."
- %
- The astronomer Francesco Sizi, a contemporary of Galileo, argues that
- Jupiter can have no satellites:
-
- There are seven windows in the head, two nostrils, two ears, two
- eyes, and a mouth; so in the heavens there are two favorable stars, two
- unpropitious, two luminaries, and Mercury alone undecided and indifferent.
- From which and many other similar phenomena of nature such as the seven
- metals, etc., which it were tedious to enumerate, we gather that the number
- of planets is necessarily seven. [...]
- Moreover, the satellites are invisible to the naked eye and
- therefore can have no influence on the earth and therefore would be useless
- and therefore do not exist.
- %
- The best defense against logic is ignorance.
- %
- The best rebuttal to this kind of statistical argument came from the
- redoubtable John W. Campbell:
-
- The laws of population growth tell us that approximately half the
- people who were ever born in the history of the world are now
- dead. There is therefore a 0.5 probability that this message is
- being read by a corpse.
- %
- The bigger the theory the better.
- %
- The biggest difference between time and space is that you can't reuse time.
- -- Merrick Furst
- %
- The bomb will never go off. I speak as an expert in explosives.
- -- Admiral William Leahy, U.S. Atomic Bomb Project
- %
- The church saves sinners, but science seeks to stop their manufacture.
- -- Elbert Hubbard
- %
- The clash of ideas is the sound of freedom.
- %
- The clearest way into the Universe is through a forest wilderness.
- -- John Muir
- %
- The Commandments of the EE:
-
- (9) Trifle thee not with radioactive tubes and substances lest thou
- commence to glow in the dark like a lightning bug, and thy wife be
- frustrated and have not further use for thee except for thy wages.
- (10) Commit thou to memory all the words of the prophets which are
- written down in thy Bible which is the National Electrical Code,
- and giveth out with the straight dope and consoleth thee when
- thou hast suffered a ream job by the chief electrician.
- (11) When thou muckest about with a device in an unthinking and/or
- unknowing manner, thou shalt keep one hand in thy pocket. Better
- that thou shouldest keep both hands in thy pockets than
- experimentally determine the electrical potential of an
- innocent-seeming device.
- %
- The Commandments of the EE:
-
- (1) Beware of lightning that lurketh in an uncharged condenser
- lest it cause thee to bounce upon thy buttocks in a most
- embarrassing manner.
- (2) Cause thou the switch that supplieth large quantities of juice to
- be opened and thusly tagged, that thy days may be long in this
- earthly vale of tears.
- (3) Prove to thyself that all circuits that radiateth, and upon
- which the worketh, are grounded and thusly tagged lest they lift
- thee to a radio frequency potential and causeth thee to make like
- a radiator too.
- (4) Tarry thou not amongst these fools that engage in intentional
- shocks for they are not long for this world and are surely
- unbelievers.
- %
- The Commandments of the EE:
-
- (5) Take care that thou useth the proper method when thou takest the
- measures of high-voltage circuits too, that thou dost not incinerate
- both thee and thy test meter, for verily, though thou has no company
- property number and can be easily surveyed, the test meter has
- one and, as a consequence, bringeth much woe unto a purchasing agent.
- (6) Take care that thou tamperest not with interlocks and safety devices,
- for this incurreth the wrath of the chief electrician and bring
- the fury of the engineers on his head.
- (7) Work thou not on energized equipment for if thou doest so, thy
- friends will surely be buying beers for thy widow and consoling
- her in certain ways not generally acceptable to thee.
- (8) Verily, verily I say unto thee, never service equipment alone,
- for electrical cooking is a slow process and thou might sizzle in
- thy own fat upon a hot circuit for hours on end before thy maker
- sees fit to end thy misery and drag thee into his fold.
- %
- The devil finds work for idle circuits to do.
- %
- The devil finds work for idle glands.
- %
- The difference between reality and unreality is that reality has so
- little to recommend it.
- -- Allan Sherman
- %
- The difference between science and the fuzzy subjects is that science
- requires reasoning while those other subjects merely require scholarship.
- -- Robert Heinlein
- %
- The earth is like a tiny grain of sand, only much, much heavier.
- %
- The economy depends about as much on economists as the weather does on
- weather forecasters.
- -- Jean-Paul Kauffmann
- %
- The Encyclopaedia Galactica defines a robot as a mechanical apparatus designed
- to do the work of a man. The marketing division of Sirius Cybernetics
- Corporation defines a robot as 'Your Plastic Pal Who's Fun To Be With'.
- The Hitch Hiker's Guide to the Galaxy defines the marketing division of the
- Sirius Cybernetics Corporation as 'a bunch of mindless jerks who'll be the
- first against the wall when the revolution comes', with a footnote to effect
- that the editors would welcome applications from anyone interested in taking
- over the post of robotics correspondent.
- Curiously enough, an edition of the Encyclopaedia Galactica that
- had the good fortune to fall through a time warp from a thousand years in
- the future defined the marketing division of the Sirius Cybernetics
- Corporation as 'a bunch of mindless jerks who were the first against the
- wall when the revolution came'.
- -- Douglas Adams, "The Hitchhiker's Guide to the Galaxy"
- %
- The energy produced by the breaking down of the atom is a very poor kind
- of thing. Anyone who expects a source of power from the transformation
- of these atoms is talking moonshine.
- -- Ernest Rutherford, after he had split the atom for
- the first time
- %
- The explanation requiring the fewest assumptions is the most likely to be
- correct.
- -- William of Occam
- %
- The feeling persists that no one can simultaneously be a respectable writer
- and understand how a refrigerator works, just as no gentleman wears a brown
- suit in the city. Colleges may be to blame. English majors are encouraged,
- I know, to hate chemistry and physics, and to be proud because they are not
- dull and creepy and humorless and war-oriented like the engineers across the
- quad. And our most impressive critics have commonly been such English majors,
- and they are squeamish about technology to this very day. So it is natural
- for them to despise science fiction.
- -- Kurt Vonnegut Jr., "Science Fiction"
- %
- The following statement is not true. The previous statement is true.
- %
- The Force is what holds everything together. It has its dark side, and
- it has its light side. It's sort of like cosmic duct tape.
- %
- "The four building blocks of the universe are fire, water, gravel and vinyl."
- -- Dave Barry
- %
- The function of the expert is not to be more right than other people,
- but to be wrong for more sophisticated reasons.
- -- Dr. David Butler, British psephologist
- %
- The generation of random numbers is too important to be left to chance.
- %
- The goal of science is to build better mousetraps. The goal of nature
- is to build better mice.
- %
- The Greatest Mathematical Error
- The Mariner I space probe was launched from Cape Canaveral on 28
- July 1962 towards Venus. After 13 minutes' flight a booster engine would
- give acceleration up to 25,820 mph; after 44 minutes 9,800 solar cells
- would unfold; after 80 days a computer would calculate the final course
- corrections and after 100 days the craft would cirlce the unknown planet,
- scanning the mysterious cloud in which it is bathed.
- However, with an efficiency that is truly heartening, Mariner I
- plunged into the Atlantic Ocean only four minutes after takeoff.
- Inquiries later revealed that a minus sign had been omitted from
- the instructions fed into the computer. "It was human error", a launch
- spokesman said.
- This minus sign cost L4,280,000.
- -- Stephen Pile, "The Book of Heroic Failures"
- %
- The herd instinct among economists makes sheep look like independent thinkers.
- %
- The ideas of economists and political philosophers, both when they
- are right and when they are wrong, are more powerful than is generally
- understood. Indeed, the world is ruled by little else.
- -- John Maynard Keyes
- %
- "The identical is equal to itself, since it is different."
- -- Franco Spisani
- %
- The instruments of science do not in themselves discover truth. And there are
- searchings that are not concluded by the coincidence of a pointer and a mark.
- -- Fred Saberhagen, "The Berserker Wars"
- %
- The key elements in human thinking are not numbers but labels of fuzzy sets.
- -- L. Zadeh
- %
- The light of a hundred stars does not equal the light of the moon.
- %
- The Man Who Almost Invented The Vacuum Cleaner
- The man officially credited with inventing the vacuum cleaner is
- Hubert Cecil Booth. However, he got the idea from a man who almost
- invented it.
- In 1901 Booth visited a London music-hall. On the bill was an
- American inventor with his wonder machine for removing dust from carpets.
- The machine comprised a box about one foot square with a bag on top.
- After watching the act -- which made everyone in the front six rows sneeze
- -- Booth went round to the inventor's dressing room.
- "It should suck not blow," said Booth, coming straight to the
- point. "Suck?", exclaimed the enraged inventor. "Your machine just moves
- the dust around the room," Booth informed him. "Suck? Suck? Sucking is
- not possible," was the inventor's reply and he stormed out. Booth proved
- that it was by the simple expedient of kneeling down, pursing his lips and
- sucking the back of an armchair. "I almost choked," he said afterwards.
- -- Stephen Pile, "The Book of Heroic Failures"
- %
- The marvels of today's modern technology include the development of a
- soda can, when discarded will last forever ... and a $7,000 car which
- when properly cared for will rust out in two or three years.
- %
- The meek shall inherit the earth; the rest of us will go to the stars.
- %
- The meek shall inherit the earth; the rest of us, the Universe.
- %
- The moon is a planet just like the Earth, only it is even deader.
- %
- The moon is made of green cheese.
- -- John Heywood
- %
- The moon may be smaller than Earth, but it's further away.
- %
- The more they over-think the plumbing the easier it is to stop up the drain.
- %
- The most advantageous, pre-eminent thing thou canst do is not to exhibit
- nor display thyself within the limits of our galaxy, but rather depart
- instantaneously whence thou even now standest and flee to yet another rotten
- planet in the universe, if thou canst have the good fortune to find one.
- -- Carlyle
- %
- The most exciting phrase to hear in science, the one that heralds new
- discoveries, is not "Eureka!" (I found it!) but "That's funny ..."
- -- Isaac Asimov
- %
- The nation that controls magnetism controls the universe.
- -- Chester Gould/Dick Tracy
- %
- The only function of economic forecasting is to make astrology look respectable.
- -- John Kenneth Galbraith
- %
- The only justification for our concepts and systems of concepts is that they
- serve to represent the complex of our experiences; beyond this they have
- no legitimacy.
- -- Albert Einstein
- %
- The only perfect science is hind-sight.
- %
- The only person who always got his work done by Friday was Robinson Crusoe.
- %
- The only possible interpretation of any research whatever in the `social
- sciences' is: some do, some don't.
- -- Ernest Rutherford
- %
- The opposite of a correct statement is a false statement. But the opposite
- of a profound truth may well be another profound truth.
- -- Niels Bohr
- %
- The perversity of nature is nowhere better demonstrated by the fact that, when
- exposed to the same atmosphere, bread becomes hard while crackers become soft.
- %
- The problem ... is that we have run out of dinosaurs to form oil with.
- Scientists working for the Department of Energy have tried to form oil using
- other animals; they've piled thousands of tons of sand and Middle Eastern
- countries on top of cows, raccoons, haddock, laboratory rats, etc., but so
- far all they have managed to do is run up an enormous bulldozer-rental bill
- and anger a lot of Middle Eastern persons. None of the animals turned into
- oil, although most of the laboratory rats developed cancer.
- -- Dave Barry, "Postpetroleum Guzzler"
- %
- The purpose of Physics 7A is to make the engineers realize that they're
- not perfect, and to make the rest of the people realize that they're not
- engineers.
- %
- The rate at which a disease spreads through a corn field is a precise
- measurement of the speed of blight.
- %
- The reason that every major university maintains a department of
- mathematics is that it's cheaper than institutionalizing all those people.
- %
- The rule on staying alive as a forecaster is to give 'em a number or
- give 'em a date, but never give 'em both at once.
- -- Jane Bryant Quinn
- %
- The Shuttle is now going five times the sound of speed.
- -- Dan Rather, first landing of Columbia
- %
- The society which scorns excellence in plumbing as a humble activity and
- tolerates shoddiness in philosophy because it is an exalted activity will
- have neither good plumbing nor good philosophy... neither its pipes nor
- its theories will hold water.
- %
- The solution of problems is the most characteristic and peculiar sort
- of voluntary thinking.
- -- William James
- %
- The solution of this problem is trivial and is left as an exercise for
- the reader.
- %
- The solution to a problem changes the nature of the problem.
- -- Peer
- %
- The speed of anything depends on the flow of everything.
- %
- The spirit of Plato dies hard. We have been unable to escape the philosophical
- tradition that what we can see and measure in the world is merely the
- superficial and imperfect representation of an underlying reality.
- -- S.J. Gould, "The Mismeasure of Man"
- %
- The startling truth finally became apparent, and it was this: Numbers
- written on restaurant checks within the confines of restaurants do not
- follow the same mathematical laws as numbers written on any other pieces
- of paper in any other parts of the Universe. This single statement took
- the scientific world by storm. So many mathematical conferences got held
- in such good restaurants that many of the finest minds of a generation
- died of obesity and heart failure, and the science of mathematics was put
- back by years.
- -- Douglas Adams
- %
- The study of non-linear physics is like the study of non-elephant biology.
- %
- "The subspace _W inherits the other 8 properties of _V. And there aren't
- even any property taxes."
- -- J. MacKay, Mathematics 134b
- %
- The sum of the Universe is zero.
- %
- The temperature of Heaven can be rather accurately computed from available
- data. Our authority is Isaiah 30:26, "Moreover, the light of the Moon
- shall be as the light of the Sun and the light of the Sun shall be sevenfold,
- as the light of seven days." Thus Heaven receives from the Moon as much
- radiation as we do from the Sun, and in addition seven times seven (49) times
- as much as the Earth does from the Sun, or fifty times in all. The light we
- receive from the Moon is one ten-thousandth of the light we receive from the
- Sun, so we can ignore that. With these data we can compute the temperature
- of Heaven. The radiation falling on Heaven will heat it to the point where
- the heat lost by radiation is just equal to the heat received by radiation,
- i.e., Heaven loses fifty times as much heat as the Earth by radiation. Using
- the Stefan-Boltzmann law for radiation, (H/E)^4 = 50, where E is the absolute
- temperature of the earth (-300K), gives H as 798K (525C). The exact
- temperature of Hell cannot be computed, but it must be less than 444.6C, the
- temperature at which brimstone or sulphur changes from a liquid to a gas.
- Revelations 21:8 says "But the fearful, and unbelieving ... shall have their
- part in the lake which burneth with fire and brimstone." A lake of molten
- brimstone means that its temperature must be at or below the boiling point,
- or 444.6C (Above this point it would be a vapor, not a lake.) We have,
- then, that Heaven, at 525C is hotter than Hell at 445C.
- -- "Applied Optics", vol. 11, A14, 1972
- %
- The test of intelligent tinkering is to save all the parts.
- -- Aldo Leopold
- %
- The tree of research must from time to time be refreshed with the blood
- of bean counters.
- -- Alan Kay
- %
- The truth of a proposition has nothing to do with its credibility. And
- vice versa.
- %
- The two most common things in the Universe are hydrogen and stupidity.
- -- Harlan Ellison
- %
- The unfacts, did we have them, are too imprecisely few to warrant our certitude.
- %
- The universe does not have laws -- it has habits, and habits can be broken.
- %
- The universe is all a spin-off of the Big Bang.
- %
- The universe is an island, surrounded by whatever it is that surrounds
- universes.
- %
- The universe is like a safe to which there is a combination -- but the
- combination is locked up in the safe.
- -- Peter DeVries
- %
- The Universe is populated by stable things.
- -- Richard Dawkins
- %
- The universe seems neither benign nor hostile, merely indifferent.
- -- Sagan
- %
- The universe, they said, depended for its operation on the balance of four
- forces which they identified as charm, persuasion, uncertainty and
- bloody-mindedness.
- -- Terry Pratchett, "The Light Fantastic"
- %
- The University of California Statistics Department; where mean is normal,
- and deviation standard.
- %
- The world is moving so fast these days that the man who says it can't be
- done is generally interrupted by someone doing it.
- -- E. Hubbard
- %
- The Wright Bothers weren't the first to fly. They were just the first
- not to crash.
- %
- Theory is gray, but the golden tree of life is green.
- -- Goethe
- %
- There *__is* no such thing as a civil engineer.
- %
- There are no data that cannot be plotted on a straight line if the axis
- are chosen correctly.
- %
- "There are three principal ways to lose money: wine, women, and engineers.
- While the first two are more pleasant, the third is by far the more certain."
- -- Baron Rothschild, ca. 1800
- %
- There are three schools of magic. One: State a tautology, then ring the
- changes on its corollaries; that's philosophy. Two: Record many facts.
- Try to find a pattern. Then make a wrong guess at the next fact; that's
- science. Three: Be aware that you live in a malevolent Universe controlled
- by Murphy's Law, sometimes offset by Brewster's Factor; that's engineering.
- %
- There are two kinds of solar-heat systems: "passive" systems collect the
- sunlight that hits your home, and "active" systems collect the sunlight that
- hits your neighbors' homes, too.
- -- Dave Barry, "Postpetroleum Guzzler"
- %
- There can be no twisted thought without a twisted molecule.
- -- R. W. Gerard
- %
- There is a building with four floors. On the first floor, there
- is a convention of architects. On the second floor, there is a
- vinyl manufacturing plant. On the third floor there is a fast food
- stand, and on the fourth floor there is a library.
-
- Q: What would happen if a librarian traveled down in a small
- elevator with one other person from each floor?
- A: The elevator would be full.
- %
- There is a theory which states that if ever anyone discovers exactly what
- the Universe is for and why it is here, it will instantly disappear and be
- replaced by something even more bizarre and inexplicable. There is another
- theory which states that this has already happened.
- -- Douglas Adams, "The Hitchhiker's Guide to the Galaxy"
- %
- There is grandeur in this view of life, with its several powers, having been
- originally breathed into a few forms or into one; and that, whilst this planet
- has gone cycling on according to the fixed law of gravity, from so simple a
- beginning endless forms most beautiful and most wonderful have been, and are
- being, evolved.
- -- Darwin
- %
- There is no choice before us. Either we must Succeed in providing the
- rational coordination of impulses and guts, or for centuries civilization
- will sink into a mere welter of minor excitements. We must provide a
- Great Age or see the collapse of the upward striving of the human race.
- -- Alfred North Whitehead
- %
- There is no likelihood man can ever tap the power of the atom.
- -- Robert Millikan, Nobel Prize in Physics, 1923
- %
- There is no opinion so absurd that some philosopher will not express it.
- -- Marcus Tullius Cicero, "Ad familiares"
- %
- There is no royal road to geometry.
- -- Euclid
- %
- There is, in fact, no reason to believe that any given natural phenomenon,
- however marvelous it may seem today, will remain forever inexplicable.
- Soon or late the laws governing the production of life itself will be
- discovered in the laboratory, and man may set up business as a creator
- on his own account. The thing, indeed, is not only conceivable; it is
- even highly probable.
- -- H.L. Mencken, 1930
- %
- There was a mad scientist (a mad... social... scientist) who kidnapped
- three colleagues, an engineer, a physicist, and a mathematician, and locked
- each of them in seperate cells with plenty of canned food and water but no
- can opener.
- A month later, returning, the mad scientist went to the engineer's
- cell and found it long empty. The engineer had constructed a can opener from
- pocket trash, used aluminum shavings and dried sugar to make an explosive,
- and escaped.
- The physicist had worked out the angle necessary to knock the lids
- off the tin cans by throwing them against the wall. She was developing a good
- pitching arm and a new quantum theory.
- The mathematician had stacked the unopened cans into a surprising
- solution to the kissing problem; his dessicated corpse was propped calmly
- against a wall, and this was inscribed on the floor:
- Theorem: If I can't open these cans, I'll die.
- Proof: assume the opposite...
- %
- There was a writer in 'Life' magazine ... who claimed that rabbits have
- no memory, which is one of their defensive mechanisms. If they recalled
- every close shave they had in the course of just an hour life would become
- insupportable.
- -- Kurt Vonnegut
- %
- There was an old Indian belief that by making love on the hide of
- their favorite animal, one could guarantee the health and prosperity
- of the offspring conceived thereupon. And so it goes that one Indian
- couple made love on a buffalo hide. Nine months later, they were
- blessed with a healthy baby son. Yet another couple huddled together
- on the hide of a deer and they too were blessed with a very healthy
- baby son. But a third couple, whose favorite animal was a hippopotamus,
- were blessed with not one, but TWO very healthy baby sons at the conclusion
- of the nine month interval. All of which proves the old theorem that:
- The sons of the squaw of the hippopotamus are equal to the sons of
- the squaws of the other two hides.
- %
- There's a whole WORLD in a mud puddle!
- -- Doug Clifford
- %
- There's no future in time travel.
- %
- There's no sense in being precise when you don't even know what you're talking
- about.
- -- John von Neumann
- %
- They don't know how the world is shaped. And so they give it a shape, and
- try to make everything fit it. They separate the right from the left, the
- man from the woman, the plant from the animal, the sun from the moon. They
- only want to count to two.
- -- Emma Bull, "Bone Dance"
- %
- Things equal to nothing else are equal to each other.
- %
- This is clearly another case of too many mad scientists, and not enough
- hunchbacks.
- %
- This is not the age of pamphleteers. It is the age of the engineers. The
- spark-gap is mightier than the pen. Democracy will not be salvaged by men
- who talk fluently, debate forcefully and quote aptly.
- -- Lancelot Hogben, Science for the Citizen, 1938
- %
- This is the theory that Jack built.
- This is the flaw that lay in the theory that Jack built.
- This is the palpable verbal haze that hid the flaw that lay in...
- %
- This isn't true in practice -- what we've missed out is Stradivarius's
- constant. And then the aside: "For those of you who don't know, that's
- been called by others the fiddle factor..."
- -- From a 1B Electrical Engineering lecture.
- %
- This place just isn't big enough for all of us. We've got to find a way
- off this planet.
- %
- This universe shipped by weight, not by volume. Some expansion of the
- contents may have occurred during shipment.
- %
- This was a Golden Age, a time of high adventure, rich living, and hard
- dying... but nobody thought so. This was a future of fortune and theft,
- pillage and rapine, culture and vice... but nobody admitted it.
- -- Alfred Bester, "The Stars My Destination"
- %
- Those who can, do; those who can't, simulate.
- %
- Those who can, do; those who can't, write.
- Those who can't write work for the Bell Labs Record.
- %
- ... though his invention worked superbly -- his theory was a crock of sewage
- from beginning to end.
- -- Vernor Vinge, "The Peace War"
- %
- Three great scientific theories of the structure of the universe are the
- molecular, the corpuscular and the atomic. A fourth affirms, with
- Haeckel, the condensation or precipitation of matter from ether -- whose
- existence is proved by the condensation or precipitation ... A fifth
- theory is held by idiots, but it is doubtful if they know any more about
- the matter than the others.
- -- Ambrose Bierce, "The Devil's Dictionary"
- %
- Thus mathematics may be defined as the subject in which we never know
- what we are talking about, nor whether what we are saying is true.
- -- Bertrand Russell
- %
- Time is an illusion perpetrated by the manufacturers of space.
- %
- Time is nature's way of making sure that everything doesn't happen at once.
-
- Space is nature's way of making sure that everything doesn't happen to you.
- %
- TIRED of calculating components of vectors? Displacements along direction of
- force getting you down? Well, now there's help. Try amazing "Dot-Product",
- the fast, easy way many professionals have used for years and is now available
- to YOU through this special offer. Three out of five engineering consultants
- recommend "Dot-Product" for their clients who use vector products. Mr.
- Gumbinowitz, mechanical engineer, in a hidden-camera interview...
- "Dot-Product really works! Calculating Z-axis force components has
- never been easier."
- Yes, you too can take advantage of the amazing properties of Dot-Product. Use
- it to calculate forces, velocities, displacements, and virtually any vector
- components. How much would you pay for it? But wait, it also calculates the
- work done in Joules, Ergs, and, yes, even BTU's. Divide Dot-Product by the
- magnitude of the vectors and it becomes an instant angle calculator! Now, how
- much would you pay? All this can be yours for the low, low price of $19.95!!
- But that's not all! If you order before midnight, you'll also get "Famous
- Numbers of Famous People" as a bonus gift, absolutely free! Yes, you'll get
- Avogadro's number, Planck's, Euler's, Boltzmann's, and many, many, more!!
- Call 1-800-DOT-6000. Operators are standing by. That number again...
- 1-800-DOT-6000. Supplies are limited, so act now. This offer is not
- available through stores and is void where prohibited by law.
- %
- To converse at the distance of the Indes by means of sympathetic contrivances
- may be as natural to future times as to us is a literary correspondence.
- -- Joseph Glanvill, 1661
- %
- To invent, you need a good imagination and a pile of junk.
- -- Thomas Edison
- %
- Today's scientific question is: What in the world is electricity?
-
- And where does it go after it leaves the toaster?
- -- Dave Barry, "What is Electricity?"
- %
- Top scientists agree that with the present rate of consumption, the earth's
- supply of gravity will be exhausted before the 24th century. As man
- struggles to discover cheaper alternatives, we need your help. Please...
-
- CONSERVE GRAVITY
-
- Follow these simple suggestions:
-
- (1) Walk with a light step. Carry helium balloons if possible.
- (2) Use tape, magnets, or glue instead of paperweights.
- (3) Give up skiing and skydiving for more horizontal sports like curling.
- (4) Avoid showers .. take baths instead.
- (5) Don't hang all your clothes in the closet ... Keep them in one big pile.
- (6) Stop flipping pancakes
- %
- Torque is cheap.
- %
- Two is not equal to three, even for large values of two.
- %
- Two men are in a hot-air balloon. Soon, they find themselves lost in a
- canyon somewhere. One of the three men says, "I've got an idea. We can
- call for help in this canyon and the echo will carry our voices to the
- end of the canyon. Someone's bound to hear us by then!"
- So he leans over the basket and screams out, "Helllloooooo! Where
- are we?" (They hear the echo several times).
- Fifteen minutes later, they hear this echoing voice: "Helllloooooo!
- You're lost!"
- The shouter comments, "That must have been a mathematician."
- Puzzled, his friend asks, "Why do you say that?"
- "For three reasons. First, he took a long time to answer, second,
- he was absolutely correct, and, third, his answer was absolutely useless."
- %
- Two percent of zero is almost nothing.
- %
- Two wrights don't make a rong, they make an airplane. Or bicycles.
- %
- UFOs are for real: the Air Force doesn't exist.
- %
- Understanding is always the understanding of a smaller problem
- in relation to a bigger problem.
- -- P.D. Ouspensky
- %
- Utility is when you have one telephone, luxury is when you have two,
- opulence is when you have three -- and paradise is when you have none.
- -- Doug Larson
- %
- We are all agreed that your theory is crazy. The question which divides us is
- whether it is crazy enough to have a chance of being correct. My own feeling
- is that it is not crazy enough.
- -- Niels Bohr
- %
- We are each entitled to our own opinion, but no one is entitled to his
- own facts.
- -- Patrick Moynihan
- %
- We are sorry. We cannot complete your call as dialed. Please check
- the number and dial again or ask your operator for assistance.
-
- This is a recording.
- %
- We can defeat gravity. The problem is the paperwork involved.
- %
- We can predict everything, except the future.
- %
- We cannot command nature except by obeying her.
- -- Sir Francis Bacon
- %
- We dedicate this book to our fellow citizens who, for love of truth, take from
- their own wants by taxes and gifts, and now and then send forth one of
- themselves as dedicated servant, to forward the search into the mysteries and
- marvelous simplicities of this strange and beautiful Universe, Our home.
- -- "Gravitation", Misner, Thorne, and Wheeler
- %
- "We don't care. We don't have to. We're the Phone Company."
- %
- We don't know one millionth of one percent about anything.
- %
- We don't know who it was that discovered water, but we're pretty sure
- that it wasn't a fish.
- -- Marshall McLuhan
- %
- We gave you an atomic bomb, what do you want, mermaids?
- -- I. I. Rabi to the Atomic Energy Commission
- %
- We have a equal opportunity Calculus class -- it's fully integrated.
- %
- We laugh at the Indian philosopher, who to account for the support
- of the earth, contrived the hypothesis of a huge elephant, and to support
- the elephant, a huge tortoise. If we will candidly confess the truth, we
- know as little of the operation of the nerves, as he did of the manner in
- which the earth is supported: and our hypothesis about animal spirits, or
- about the tension and vibrations of the nerves, are as like to be true, as
- his about the support of the earth. His elephant was a hypothesis, and our
- hypotheses are elephants. Every theory in philosophy, which is built on
- pure conjecture, is an elephant; and every theory that is supported partly
- by fact, and partly by conjecture, is like Nebuchadnezzar's image, whose
- feet were partly of iron, and partly of clay.
- -- Thomas Reid, "An Inquiry into the Human Mind", 1764
- %
- ... we must be wary of granting too much power to natural selection
- by viewing all basic capacities of our brain as direct adaptations.
- I do not doubt that natural selection acted in building our oversized
- brains -- and I am equally confident that our brains became large as
- an adaptation for definite roles (probably a complex set of interacting
- functions). But these assumptions do not lead to the notion, often
- uncritically embraced by strict Darwinians, that all major capacities
- of the brain must arise as direct products of natural selection.
- -- S.J. Gould, "The Mismeasure of Man"
- %
- We must believe that it is the darkest before the dawn of a beautiful
- new world. We will see it when we believe it.
- -- Saul Alinsky
- %
- ... we must counterpose the overwhelming judgment provided by consistent
- observations and inferences by the thousands. The earth is billions of
- years old and its living creatures are linked by ties of evolutionary
- descent. Scientists stand accused of promoting dogma by so stating, but
- do we brand people illiberal when they proclaim that the earth is neither
- flat nor at the center of the universe? Science *has* taught us some
- things with confidence! Evolution on an ancient earth is as well
- established as our planet's shape and position. Our continuing struggle
- to understand how evolution happens (the "theory of evolution") does not
- cast our documentation of its occurrence -- the "fact of evolution" --
- into doubt.
- -- Stephen Jay Gould, "The Verdict on Creationism",
- The Skeptical Inquirer, Vol. XII No. 2.
- %
- We warn the reader in advance that the proof presented here depends on a
- clever but highly unmotivated trick.
- -- Howard Anton, "Elementary Linear Algebra"
- %
- We who revel in nature's diversity and feel instructed by every animal tend to
- brand Homo sapiens as the greatest catastrophe since the Cretaceous extinction.
- -- S.J. Gould
- %
- We will have solar energy as soon as the utility companies solve one technical
- problem -- how to run a sunbeam through a meter.
- %
- We've sent a man to the moon, and that's 29,000 miles away. The center
- of the Earth is only 4,000 miles away. You could drive that in a week,
- but for some reason nobody's ever done it.
- -- Andy Rooney
- %
- Weinberg, as a young grocery clerk, advised the grocery manager to get
- rid of rutabagas which nobody every bought. He did so. "Well, kid, that
- was a great idea," said the manager. Then he paused and asked the killer
- question, "NOW what's the least popular vegetable?"
-
- Law: Once you eliminate your #1 problem, #2 gets a promotion.
- -- Gerald Weinberg, "The Secrets of Consulting"
- %
- Wernher von Braun settled for a V-2 when he coulda had a V-8.
- %
- "What I've done, of course, is total garbage."
- -- R. Willard, Pure Math 430a
- %
- What is algebra, exactly? Is it one of those three-cornered things?
- -- J.M. Barrie
- %
- What is mind? No matter. What is matter? Never mind.
- -- Thomas Hewitt Key, 1799-1875
- %
- What is now proved was once only imagin'd.
- -- William Blake
- %
- What is research but a blind date with knowledge?
- -- Will Harvey
- %
- What is wanted is not the will to believe, but the will to find out,
- which is the exact opposite.
- -- Bertrand Russell, "Skeptical Essays", 1928
- %
- What the deuce is it to me? You say that we go around the sun. If we went
- around the moon it would not make a pennyworth of difference to me or my work.
- -- Sherlock Holmes, "A Study in Scarlet"
- %
- What the scientists have in their briefcases is terrifying.
- -- Nikita Khruschev
- %
- What the world *really* needs is a good Automatic Bicycle Sharpener.
- %
- When a man sits with a pretty girl for an hour, it seems like a minute.
- But let him sit on a hot stove for a minute -- and it's longer than any
- hour. That's relativity.
- -- Albert Einstein
- %
- When Alexander Graham Bell died in 1922, the telephone people interrupted
- service for one minute in his honor. They've been honoring him intermittently
- ever since, I believe.
- -- The Grab Bag
- %
- When some people discover the truth, they just can't understand why
- everybody isn't eager to hear it.
- %
- When speculation has done its worst, two plus two still equals four.
- -- S. Johnson
- %
- "When the going gets tough, the tough get empirical."
- -- Jon Carroll
- %
- When the Universe was not so out of whack as it is today, and all the
- stars were lined up in their proper places, you could easily count them
- from left to right, or top to bottom, and the larger and bluer ones were
- set apart, and the smaller yellowing types pushed off to the corners as
- bodies of a lower grade ...
- -- Stanislaw Lem, "Cyberiad"
- %
- When the weight of the paperwork equals the weight of the plane, the
- plane will fly.
- -- Donald Douglas
- %
- When you are about to do an objective and scientific piece of investigation
- of a topic, it is well to gave the answer firmly in hand, so that you can
- proceed forthrightly, without being deflected or swayed, directly to the goal.
- -- Amrom Katz
- %
- When you know absolutely nothing about the topic, make your forecast by
- asking a carefully selected probability sample of 300 others who don't
- know the answer either.
- -- Edgar R. Fiedler
- %
- Where are the calculations that go with a calculated risk?
- %
- WHERE CAN THE MATTER BE
- Oh, dear, where can the matter be
- When it's converted to energy?
- There is a slight loss of parity.
- Johnny's so long at the fair.
- %
- Where it is a duty to worship the sun it is pretty sure to be a crime to
- examine the laws of heat.
- -- Christopher Morley
- %
- While the engineer developed his thesis, the director leaned over to
- his assistant and whispered, "Did you ever hear of why the sea is salt?"
- "Why the sea is salt?" whispered back the assistant. "What do you
- mean?"
- The director continued: "When I was a little kid, I heard the story of
- `Why the sea is salt' many times, but I never thought it important until just
- a moment ago. It's something like this: Formerly the sea was fresh water and
- salt was rare and expensive. A miller received from a wizard a wonderful
- machine that just ground salt out of itself all day long. At first the miller
- thought himself the most fortunate man in the world, but soon all the villages
- had salt to last them for centuries and still the machine kept on grinding
- more salt. The miller had to move out of his house, he had to move off his
- acres. At last he determined that he would sink the machine in the sea and
- be rid of it. But the mill ground so fast that boat and miller and machine
- were sunk together, and down below, the mill still went on grinding and that's
- why the sea is salt."
- "I don't get you," said the assistant.
- -- Guy Endore, "Men of Iron"
- %
- White dwarf seeks red giant for binary relationship.
- %
- Why do mathematicians insist on using words that already have another
- meaning? "It is the complex case that is easier to deal with." "If it
- doesn't happen at a corner, but at an edge, it nonetheless happens at a
- corner."
- %
- Why don't you fix your little problem... and light this candle?
- -- Alan Shepherd, the first man into space, Gemini program
- %
- With all the fancy scientists in the world, why can't they just once
- build a nuclear balm?
- %
- With every passing hour our solar system comes forty-three thousand
- miles closer to globular cluster M13 in the constellation Hercules, and
- still there are some misfits who continue to insist that there is no
- such thing as progress.
- -- Ransom K. Ferm
- %
- Without life, Biology itself would be impossible.
- %
- Xerox does it again and again and again and ...
- %
- Xerox never comes up with anything original.
- %
- Ya'll hear about the geometer who went to the beach to catch some
- rays and became a tangent ?
- %
- "Yeah, but you're taking the universe out of context."
- %
- "Yes, let's consider," said Bruno, putting his thumb into his
- mouth again, and sitting down upon a dead mouse.
- "What do you keep that mouse for?" I said. "You should either
- bury it or else throw it into the brook."
- "Why, it's to measure with!" cried Bruno. "How ever would you
- do a garden without one? We make each bed three mouses and a half
- long, and two mouses wide."
- I stopped him as he was dragging it off by the tail to show me
- how it was used...
- -- Lewis Carroll, "Sylvie and Bruno"
- %
- "Yo, Mike!"
- "Yeah, Gabe?"
- "We got a problem down on Earth. In Utah."
- "I thought you fixed that last century!"
- "No, no, not that. Someone's found a security problem in the physics
- program. They're getting energy out of nowhere."
- "Blessit! Lemme look... <tappity clickity tappity> Hey, it's
- there all right! OK, just a sec... <tappity clickity tap... save... compile>
- There, that ought to patch it. Dist it out, wouldja?"
- -- Cold Fusion, 1989
- %
- You are a taxi driver. Your cab is yellow and black, and has been in
- use for only seven years. One of its windshield wipers is broken, and
- the carburetor needs adjusting. The tank holds 20 gallons, but at the
- moment is only three-quarters full. How old is the taxi driver?"
- %
- You can not get anything worthwhile done without raising a sweat.
- -- The First Law Of Thermodynamics
-
- What ever you want is going to cost a little more than it is worth.
- -- The Second Law Of Thermodynamics
-
- You can not win the game, and you are not allowed to stop playing.
- -- The Third Law Of Thermodynamics
- %
- You can take all the impact that science considerations have on funding
- decisions at NASA, put them in the navel of a flea, and have room left
- over for a caraway seed and Tony Calio's heart.
- -- F. Allen
- %
- You can't cheat the phone company.
- %
- You cannot have a science without measurement.
- -- R. W. Hamming
- %
- You know you've landed gear-up when it takes full power to taxi.
- %
- You mean you didn't *know* she was off making lots of little phone companies?
- %
- You should never bet against anything in science at odds of more than
- about 10^12 to 1.
- -- Ernest Rutherford
- %
- You should not use your fireplace, because scientists now believe that,
- contrary to popular opinion, fireplaces actually remove heat from houses.
- Really, that's what scientists believe. In fact many scientists actually
- use their fireplaces to cool their houses in the summer. If you visit a
- scientist's house on a sultry August day, you'll find a cheerful fire
- roaring on the hearth and the scientist sitting nearby, remarking on how
- cool he is and drinking heavily.
- -- Dave Barry, "Postpetroleum Guzzler"
- %
- You will never amount to much.
- -- Munich Schoolmaster, to Albert Einstein, age 10
- %
-