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'Metaphysics', 'Introduction to the Theory of Logic' and 'Believing the Axioms I'
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5 ideas
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
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If a set is defined by induction, then proof by induction can be applied to it [Zalabardo]
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6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
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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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Each many is just ones, and is measured by the one [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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