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Ideas for 'Mahaprajnaparamitashastra', 'Axiomatic Thought' and 'Pragmatism and Objective Truth'

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4 ideas

6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics

17967

To decide some questions, we must study the essence of mathematical proof itself [Hilbert]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

17965

The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers

17964

Number theory just needs calculation laws and rules for integers [Hilbert]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic

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Greek mathematics is wholly sensory, where ours is wholly inferential [Macbeth]