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Ideas for 'fragments/reports', 'The Question of Ontology' and 'Axiomatic Thought'

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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 / c. Fregean numbers

12215

The existence of numbers is not a matter of identities, but of constituents of the world [Fine,K]