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'Parmenides', 'The Advancement of Learning' and 'Axiomatic Thought'
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4 ideas
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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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
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One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]
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