Combining Texts

Ideas for 'Mahaprajnaparamitashastra', 'fragments/reports' and 'works'

unexpand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts


3 ideas

4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Stoics like syllogisms, for showing what is demonstrative, which corrects opinions [Stoic school, by Diog. Laertius]
     Full Idea: Stoics say the study of syllogisms is extremely useful; for it indicates what is demonstrative, and this makes a big contribution toward correcting one's opinions; and orderliness and good memory indicate attentive comprehension.
     From: report of Stoic school (fragments/reports [c.200 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 07.45
     A reaction: The stoics also developed propositional logic. The main point is that they liked formal logic, which is not true of all the ancient schools.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn]
     Full Idea: Von Neumann defines each number as the set of all smaller numbers.
     From: report of John von Neumann (works [1935]) by Simon Blackburn - Oxford Dictionary of Philosophy p.280
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA]
     Full Idea: Von Neumann suggested that functions be pressed into service to replace sets.
     From: report of John von Neumann (works [1935]) by José A. Benardete - Metaphysics: the logical approach Ch.23