LogicStudyGuide.pdf

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  • When set talk can be paraphrased away like this, we are only dealing with–as they say–merevirtual classes.—Updated on 2024-05-08 16:30:52
  • From the time of Aristotle, logicians have used a ‘divide and conquer’ strategythat involves introducing simplified, tightly-disciplined, languages—Updated on 2024-05-08 16:41:30
    • This is in order to better analyze the actually logical concepts behind vague and inaccurate statements or situations.

I wonder how Fuzzy Logic does in the capturing of actual “vague” or maybe ambiguous terms. Or, if it only captures vagueness, can some other formal system capture ambiguity?

  • Read Chapter 1 for some interesting background. Chapter 2 intro-duces basic notions like subsets, powersets, unions, intersections, pairs,tuples, Cartesian products. Chapter 3 is on relations (treated as sets).Chapter 4 is on functions. Chapter 5 is on the size of sets, countablevs uncountable sets, Cantor’s Theorem.At this stage in his book, Button is proceeding naively in our secondsense, with the promise that everything he does can be replicated inthe rigorously axiomatized theory he introduces later.Button writes, here as elsewhere, with very admirable clarity. So this is verywarmly recommended.—Updated on 2024-06-13 11:48:41