Combining Texts

Ideas for 'Unconscious Cerebral Initiative', 'Introduction to Mathematical Logic' and 'Knowledge and the Philosophy of Number'

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

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In non-Euclidean geometry, all Euclidean theorems are valid that avoid the fifth postulate [Walicki]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction

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Inductive proof depends on the choice of the ordering [Walicki]

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory

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Numbers are properties, not sets (because numbers are magnitudes) [Hossack]