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Classical Mathematical Logic : The Semantic Foundations of Logic /
In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not...
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| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Princeton :
Princeton University Press,
2006.
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| Collection: | Book collections on Project MUSE.
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| Accès en ligne: | Texto completo |
| Résumé: | In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not only of arithmetic, but also of group theory, field theory, and linear orderings. These lead to the formalization of the real numbers and Euclidean plane geometry. The scope and limitations of modern logic are made clear in these formalizations. The book provides detailed explanations of all proo. |
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| Description matérielle: | 1 online resource: illustrations |
| ISBN: | 9781400841554 |