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Ideas for 'talk', 'Ambitious, yet modest, Metaphysics' and 'Wittgenstein's 'Tractatus Logico-Philosophicus''

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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
Aristotelian logic cannot express 'Everyone loves someone' [White,RM]
     Full Idea: There is no way within Aristotelian logic that you can give a proper expression for the logical form of such a proposition as 'Everyone loves someone'.
     From: Roger M. White (Wittgenstein's 'Tractatus Logico-Philosophicus' [2006], 1 'Frege')
     A reaction: This needs a combination of two different quantifiers.