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In mathematical logic, second-order arithmetic is a collection of axiomatic systems that formalize the natural numbers and their subsets. It is an alternative to axiomatic set theory as a foundation for much, but not all, of mathematics.
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Second-order arithmetic | is a | collection of axiomatic systems that formalize the natural numbers and their subsets | 0.90 | text |
| Second-order arithmetic | is a | theory in the language of second-order arithmetic each axiom of which is a theorem of full second-order arithmetic | 0.90 | text |
| Second-order arithmetic | related to Arithmetical comprehension | Many | 0.60 | section |
| Second-order arithmetic | related to Arithmetical comprehension | For | 0.60 | section |
| Second-order arithmetic | related to Arithmetical comprehension | Turing | 0.60 | section |
| Second-order arithmetic | related to Arithmetical comprehension | The | 0.60 | section |
| Second-order arithmetic | related to Arithmetical comprehension | ACA0 | 0.60 | section |
| Second-order arithmetic | related to Arithmetical comprehension | It | 0.60 | section |
| Second-order arithmetic | related to Coding mathematics | Second-order | 0.60 | section |
| Second-order arithmetic | related to Coding mathematics | However | 0.60 | section |
| Second-order arithmetic | related to Coding mathematics | Weyl | 0.60 | section |
| Second-order arithmetic | related to Coding mathematics | The | 0.60 | section |
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