Combining Texts

Ideas for 'A Puzzle about Belief', 'Sapiens: brief history of humankind' and 'Introduction to the Philosophy of Mathematics'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

17928

Ordinal numbers represent order relations [Colyvan]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

17923

Intuitionists only accept a few safe infinities [Colyvan]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility

17941

Infinitesimals were sometimes zero, and sometimes close to zero [Colyvan]

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

17922

Reducing real numbers to rationals suggested arithmetic as the foundation of maths [Colyvan]

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

17936

Transfinite induction moves from all cases, up to the limit ordinal [Colyvan]

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

17940

Most mathematical proofs are using set theory, but without saying so [Colyvan]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

17931

Structuralism say only 'up to isomorphism' matters because that is all there is to it [Colyvan]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique

17932

If 'in re' structures relies on the world, does the world contain rich enough structures? [Colyvan]