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'Axiomatic Theories of Truth', 'Reference and Definite Descriptions' and 'New Essays on Human Understanding'
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4 ideas
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
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We shouldn't just accept Euclid's axioms, but try to demonstrate them [Leibniz]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
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The compactness theorem can prove nonstandard models of PA [Halbach]
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The global reflection principle seems to express the soundness of Peano Arithmetic [Halbach]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
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To reduce PA to ZF, we represent the non-negative integers with von Neumann ordinals [Halbach]
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