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Ideas for 'Axiomatic Theories of Truth', 'Laudatio: Prof Ruth Barcan Marcus' and 'Vagaries of Definition'

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4 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
16321 The compactness theorem can prove nonstandard models of PA [Halbach]
16343 The global reflection principle seems to express the soundness of Peano Arithmetic [Halbach]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
8203 All the arithmetical entities can be reduced to classes of integers, and hence to sets [Quine]
16312 To reduce PA to ZF, we represent the non-negative integers with von Neumann ordinals [Halbach]