Combining Philosophers
Ideas for H.Putnam/P.Oppenheim, Keith Hossack and Georges Rey
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4 ideas
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
10674
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A plural language gives a single comprehensive induction axiom for arithmetic [Hossack]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10681
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In arithmetic singularists need sets as the instantiator of numeric properties [Hossack]
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10685
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Set theory is the science of infinity [Hossack]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
23621
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Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
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