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Ideas for 'talk', 'Ancient Thought in Modern Physics' and 'Which Logic is the Right Logic?'

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2 ideas

4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
Socrates developed definitions as the basis of syllogisms, and also inductive arguments [Socrates, by Aristotle]
     Full Idea: Socrates aimed to establish formal logic, of whose syllogisms essences are the foundations. He developed inductive arguments and also general definitions.
     From: report of Socrates (reports of career [c.420 BCE]) by Aristotle - Metaphysics 1078b
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The axiom of choice now seems acceptable and obvious (if it is meaningful) [Tharp]
     Full Idea: The main objection to the axiom of choice was that it had to be given by some law or definition, but since sets are arbitrary this seems irrelevant. Formalists consider it meaningless, but set-theorists consider it as true, and practically obvious.
     From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §3)