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Extensible Markup Language  |  1995-08-15  |  2KB  |  34 lines
  1. <?xml version="1.0" encoding="utf-8" ?>
  2. <!DOCTYPE card PUBLIC "-//Apple, Inc.//DTD card V 2.0//EN" "" >
  3. <card>
  4.     <id>43274</id>
  5.     <filler1>0</filler1>
  6.     <cantDelete> <false /> </cantDelete>
  7.     <showPict> <true /> </showPict>
  8.     <dontSearch> <false /> </dontSearch>
  9.     <owner>5472</owner>
  10.     <link rel="stylesheet" type="text/css" href="stylesheet_3106.css" />
  11.     <content>
  12.         <layer>background</layer>
  13.         <id>25</id>
  14.         <text><span class="style10">ets and Paradoxes (1 of 7)</span><span class="style7">Sets can be considered simply as any collections of objects. However, in the early 20th century, when attempts were made to formalize the properties of sets, contradictions were discovered that have affected mathematical thinking ever since.A </span><span class="style26">set</span><span class="style7"> can be specified either by stipulating some property for an object as a condition of </span><span class="style26">membership</span><span class="style7"> of the set, or by listing the </span><span class="style26">members</span><span class="style7"> of the set in any order.Sets are usually indicated by the use of curly brackets {}, known as </span><span class="style26">braces</span><span class="style7">.Thus, suppose we are considering a family that has a cat, a rabbit, a horse, a dog, a mouse and a piranha: we could represent the pets fed and looked after by Sue as { cat, rabbit, horse}. In that case {cat, rabbit, horse} = {</span><span class="style26">x</span><span class="style7">: </span><span class="style26">x</span><span class="style7"> is a family pet looked after by Sue}. Sets are often pictured by drawing a circle around representations of their members, thus:    </span></text>
  15.     </content>
  16.     <content>
  17.         <layer>background</layer>
  18.         <id>26</id>
  19.         <text><span class="style10">amily pets</span><span class="style7"> fed and looked after by Sue.</span></text>
  20.     </content>
  21.     <content>
  22.         <layer>background</layer>
  23.         <id>23</id>
  24.         <text>ΓÇó THE SCIENTIFIC METHODΓÇó CORRESPONDENCE, COUNTING AND INFINITYΓÇó COMPUTERSΓÇó LOGIC</text>
  25.     </content>
  26.     <content>
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  28.         <id>36</id>
  29.         <text>5868334494</text>
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  31.     <name>p066-1</name>
  32.     <script></script>
  33. </card>
  34.