Combining Philosophers

Ideas for Herodotus, Keith Hossack and Richard P. Feynman

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4 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order

10674

A plural language gives a single comprehensive induction axiom for arithmetic [Hossack]

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

10681

In arithmetic singularists need sets as the instantiator of numeric properties [Hossack]

10685

Set theory is the science of infinity [Hossack]

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

23621

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