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Ideas for 'In Praed.', 'Concepts' and 'Foundations without Foundationalism'

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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic

13657

First-order arithmetic can't even represent basic number theory [Shapiro]

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

13656

Some sets of natural numbers are definable in set-theory but not in arithmetic [Shapiro]