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In metalogic and metamathematics, Frege's theorem is a metatheorem that states that the Peano axioms of arithmetic can be derived in second-order logic from Hume's principle. It was first proven, informally, by Gottlob Frege in his 1884 The Foundations of Arithmetic and proven more formally in his 1893 Grundgesetze der Arithmetik I (Basic Laws of…
Frege's theorem in propositional logic & Overview
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theorem arithmetic frege frege's logic principle gottlob grundgesetze der arithmetik basic vol axioms 1884 1893 laws known one proof holds
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Frege's theorem | is a | metatheorem that states that the Peano axioms of arithmetic can be derived in second-order logic from Hume's principle | 0.90 | text |
| Frege's theorem | related to Frege's theorem in propositional logic | In | 0.60 | section |
| Frege's theorem | related to Frege's theorem in propositional logic | Frege's | 0.60 | section |
| Frege's theorem | related to Frege's theorem in propositional logic | The | 0.60 | section |
| Frege's theorem | related to Frege's theorem in propositional logic | Brouwer | 0.60 | section |
| Frege's theorem | related to Frege's theorem in propositional logic | Heyting | 0.60 | section |
| Frege's theorem | related to Frege's theorem in propositional logic | Kolmogorov | 0.60 | section |
| Frege's theorem | related to Frege's theorem in propositional logic | Let | 0.60 | section |
| Frege's theorem | related to Frege's theorem in propositional logic | And | 0.60 | section |
| Frege's theorem | related to Frege's theorem in propositional logic | Then | 0.60 | section |
| Frege's theorem | related to Frege's theorem in propositional logic | So | 0.60 | section |
| Frege's theorem | related to overview | In The Foundations | 0.60 | section |
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