Combining Texts

Ideas for 'Parmenides', 'On boundary numbers and domains of sets' and 'The Foundations of Mathematics'

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4 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

18844

You would cripple mathematics if you denied Excluded Middle [Hilbert]

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]

14150

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

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The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]