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Ideas for 'Parmenides', 'Evidence' and 'Briefings on Existence'

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4 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic

12342	Topos theory explains the plurality of possible logics [Badiou]
	Full Idea: Topos theory explains the plurality of possible logics.
	From: Alain Badiou (Briefings on Existence [1998], 14)
	A reaction: This will because logic will have a distinct theory within each 'topos'.

5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic

12341	Logic is a mathematical account of a universe of relations [Badiou]
	Full Idea: Logic should first and foremost be a mathematical thought of what a universe of relations is.
	From: Alain Badiou (Briefings on Existence [1998], 14)

5. Theory of Logic / L. Paradox / 3. Antinomies

13986	Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]
	Full Idea: Plato (in 'Parmenides') shows that the theory that 'Eide' are substances, and Kant that space and time are substances, and Bradley that relations are substances, all lead to aninomies.
	From: report of Plato (Parmenides [c.364 BCE]) by Gilbert Ryle - Are there propositions? 'Objections'

14150	Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]
	Full Idea: Plato's 'Parmenides' is perhaps the best collection of antinomies ever made.
	From: comment on Plato (Parmenides [c.364 BCE]) by Bertrand Russell - The Principles of Mathematics §337