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'The Evolution of Modern Metaphysics', 'The Theory of Transfinite Numbers' and 'Axiomatic Thought'
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4 ideas
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
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Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]
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6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
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To decide some questions, we must study the essence of mathematical proof itself [Hilbert]
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6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
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The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
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Number theory just needs calculation laws and rules for integers [Hilbert]
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