Second-Order Arithmetic.¶
Open Logic Project. (2025). Second-Order Arithmetic. Open Logic Text.
Cited by¶
1 citation across 1 artifact.
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Domain-specific¶
- Natural Number
- The Open Logic Project shows that second-order induction excludes nonstandard elements and makes models isomorphic to the standard natural numbers; first-order arithmetic must be distinguished because its induction schema does not yield categoricity.
This sourceFormal account of second-order induction, exclusion of nonstandard elements under full semantics, and categoricity up to isomorphism.
- The Open Logic Project shows that second-order induction excludes nonstandard elements and makes models isomorphic to the standard natural numbers; first-order arithmetic must be distinguished because its induction schema does not yield categoricity.
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