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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
©2006.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Epstein, Richard L., |d 1947- |e author. | |
| 245 | 1 | 0 | |a Classical mathematical logic : |b the semantic foundations of logic / |c Richard L. Epstein ; with contributions by Lesław W. Szczerba. |
| 260 | |a Princeton : |b Princeton University Press, |c ©2006. | ||
| 300 | |a 1 online resource (xxii, 522 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and indexes. | ||
| 505 | 0 | |a Classical propositional logic -- Abstracting and axiomatizing classical propositional logic -- The language of predicate logic -- The semantics of classical predicate logic -- Substitutions and equivalences -- Equality -- Examples of formalization -- Functions -- The abstraction of models -- Axiomatizing classical predicate logic -- The number of objects in the universe of a model -- Formalizing group theory -- Linear orderings -- Second-order classical predicate logic -- The natural numbers -- The integers and rationals -- The real numbers -- One-dimensional geometry -- Two-dimensional Euclidean geometry -- Translations within classical predicate logic -- Classical predicate logic with non-referring names -- The Liar paradox -- On mathematical logic and mathematics -- Appendix: The completeness of classical predicate logic proved by Gödel's Method. | |
| 520 | |a 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. | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Logic, Symbolic and mathematical. | |
| 650 | 0 | |a Semantics (Philosophy) | |
| 650 | 6 | |a Logique symbolique et mathématique. | |
| 650 | 6 | |a Sémantique (Philosophie) | |
| 650 | 7 | |a MATHEMATICS |x Infinity. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Logic. |2 bisacsh | |
| 650 | 7 | |a Logic, Symbolic and mathematical. |2 fast |0 (OCoLC)fst01002068 | |
| 650 | 7 | |a Semantics (Philosophy) |2 fast |0 (OCoLC)fst01112094 | |
| 650 | 7 | |a Mathematische Logik |2 gnd | |
| 650 | 7 | |a Philosophische Semantik |2 gnd | |
| 650 | 1 | 7 | |a Wiskundige logica. |2 gtt |
| 650 | 1 | 7 | |a Semantiek. |2 gtt |
| 655 | 0 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Epstein, Richard L., 1947- |t Classical mathematical logic. |d Princeton : Princeton University Press, ©2006 |z 9780691123004 |w (DLC) 2005055239 |w (OCoLC)62290616 |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt7rg5q |z Texto completo |
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