Combining Texts

Ideas for 'Parmenides', 'The Gettier Problem' and 'Axiomatic Thought'

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4 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

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The facts of geometry, arithmetic or statics order themselves into theories [Hilbert]

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Axioms must reveal their dependence (or not), and must be consistent [Hilbert]

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

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Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]

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Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]