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'Metaphysics', 'Axiomatic Thought' and 'Boole calculus and the Concept script'
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7 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 / 5. Definitions of Number / b. Greek arithmetic
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Each many is just ones, and is measured by the one [Aristotle]
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Number is plurality measured by unity [Aristotle]
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The idea of 'one' is the foundation of number [Aristotle]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
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Mathematics studies abstracted relations, commensurability and proportion [Aristotle]
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