home *** CD-ROM | disk | FTP | other *** search
- Comments: Gated by NETNEWS@AUVM.AMERICAN.EDU
- Path: sparky!uunet!uvaarpa!darwin.sura.net!zaphod.mps.ohio-state.edu!wupost!howland.reston.ans.net!paladin.american.edu!auvm!EID.ANL.GOV!GABRIEL
- Message-ID: <9212131755.AA12921@athens.eid.anl.gov>
- Newsgroups: bit.listserv.csg-l
- Date: Sun, 13 Dec 1992 11:55:11 CST
- Sender: "Control Systems Group Network (CSGnet)" <CSG-L@UIUCVMD.BITNET>
- From: John Gabriel <gabriel@EID.ANL.GOV>
- Subject: Re: Sciligion; gang of 3 to 5
- Lines: 71
-
- [From Gabriel 921213 11:40CST, reply to Powers of same date]
-
- I don't know quite how to respond Bill. I am both in agreement, and in
- disagreement with you.
-
- Agreement that if the mathematics has a set of axioms that omit an essential
- part of the the physical phenomenon, then the mathematical model may
- describe something, but it doesn't describe the physical system being
- discussed. But this will be found when the mathematics and the reality
- are perceived to be disconsonant.
-
- Disagreement with the implied conclusion that mathematics is not a useful
- model. If the mathematics and the sense data agree, this is evidence that
- the mathematics is a reasonable predictor of things we already know, and so
- we CAN, but don't have to, use it to attempt to predict things we DON't
- already know, and THEN go and see if they are observed.
-
- It seems to me that that's what "models of reality" are all about, and that's
- what your really insightful book deals with.
-
- Two other comments:-
-
- Perhaps what you are saying is "Only a topologist could believe that the
- donut and the coffe cup are the same thing." That depends on what you
- mean by "same." If by same you something like "If represented in three
- dimensions by bounding surfaces within some small distance from the
- boundaries between air and material for the donut and coffee cup on the
- breakfast table before you, treating the breakfast table as if it were
- air, THEN the bounding surfaces may be continuously transformed one
- into the other without tearing." the topologist is speaking the truth.
-
- All this gets you into Avery Andrews' "aforesaid" problem, and it only
- gets worse the more you try to say, because there are more aforesaids.
-
- There is a good mathematical model of this issue, but it's not very
- accessible, so perhaps it's not very good after all. But as my father
- was fond of pointing out, people only directly perceived acceleration
- and deceleration regularly without coming to harm (like falling off
- a cliff) after automobiles were invented. Before that Newton's Law of
- Acceleration was just about as academic an experience as topology is
- today.
-
- About burning people to death. Let's debate that off line. Perhaps
- we may find we agree more than you at present perceive. My choice of
- words was unfortunate - but I am short of time, and not as good as
- you and Martin at expressing myself. Sorry if I hit a sore spot.
- That's one of the reasons why the "gang of five" converse mainly off
- line. You and I have both experienced war - I was bombed in Britain,
- and you were in the Navy, and we probably neither of us liked it very
- much, in spite of the adrenalin rush we likely both know.
-
- One thing I do believe - the Chicago Stockyards used to use everything
- but the squeal. If we have experiences, we ought to use them to
- illuminate our world. Better to light a candle than to curse the dark.
-
- I don't want ever to shoot anybody, but I still practice with an M1911A1,
- and if I have to choose between dying myself, and using lethal force
- to stop somebody who was trying to kill me (or anybody else not deserving
- to be shot at), I don't intend to hesitate very long.
-
- Nor I think would you, if if your new granddaughter were in mortal
- danger.
-
- Well, let me get down off my soapbox. I'm not sure the net is the
- proper place for the above discussion. Let's continue off line if
- we feel so inclined. I don't think Gary will object.
-
- With Very Best Regards to All, Malice to None, and wishes for a
- Joyful, Peaceful, Holiday Season.
-
- John (gabriel@athens.eid.anl.gov)
-