Combining Texts
Ideas for
'Mahaprajnaparamitashastra', 'Frege philosophy of mathematics' and 'Axiomatic Thought'
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5 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 / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
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The identity of a number may be fixed by something outside structure - by counting [Dummett]
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Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett]
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