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Ideas for 'fragments/reports', 'On Second-Order Logic' and 'Model Theory'

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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity

10480

First-order logic can't discriminate between one infinite cardinal and another [Hodges,W]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order

10833

Many concepts can only be expressed by second-order logic [Boolos]