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'Isagoge ('Introduction')', 'Foundations without Foundationalism' and 'Concepts of supervenience'
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
13657
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First-order arithmetic can't even represent basic number theory [Shapiro]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
13656
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Some sets of natural numbers are definable in set-theory but not in arithmetic [Shapiro]
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