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'fragments/reports', 'Categories' and 'Introduction to the Philosophy of Mathematics'
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6 ideas
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
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17922
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Reducing real numbers to rationals suggested arithmetic as the foundation of maths [Colyvan]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
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17936
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Transfinite induction moves from all cases, up to the limit ordinal [Colyvan]
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6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
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11041
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Some quantities are discrete, like number, and others continuous, like lines, time and space [Aristotle]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
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17940
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Most mathematical proofs are using set theory, but without saying so [Colyvan]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
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17931
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Structuralism say only 'up to isomorphism' matters because that is all there is to it [Colyvan]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
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17932
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If 'in re' structures relies on the world, does the world contain rich enough structures? [Colyvan]
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