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The Birth of Model Theory : Löwenheim's Theorem in the Frame of the Theory of Relatives
Löwenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the part of logic that concerns the relationship between formal theories and their models. However, while the original proofs of other, comparably significant th...
| Autor principal: | |
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| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2008.
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| Colección: | Book collections on Project MUSE.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Badesa, Calixto. | |
| 245 | 1 | 4 | |a The Birth of Model Theory : |b Löwenheim's Theorem in the Frame of the Theory of Relatives |
| 264 | 1 | |a Princeton : |b Princeton University Press, |c 2008. | |
| 264 | 3 | |a Baltimore, Md. : |b Project MUSE, |c 0000 | |
| 264 | 4 | |c ©2008. | |
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| 505 | 0 | |a Preface; Chapter 1. Algebra of Classes and Propositional Calculus; Chapter 2. The Theory of Relatives; Chapter 3. Changing the Order of Quantifiers; Chapter 4. The Loewenheim Normal Form; Chapter 5. Preliminaries to Loewenheim's Theorem; Chapter 6. Loewenheim's Theorem; Appendix. First-Order Logic with Fleeing Indices; A.1 Introduction; A.2 Syntax; A.3 Semantics; A.4 The Loewenheim normal form; A.5 Loewenheim's theorem; References; Index. | |
| 520 | |a Löwenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the part of logic that concerns the relationship between formal theories and their models. However, while the original proofs of other, comparably significant theorems are well understood, this is not the case with Löwenheim's theorem. For example, the very result that scholars attribute to Löwenheim today is not the one that Skolem--a logician raised in the algebraic tradition, like Löwenheim--appears to have attributed to him. In The Birth of Model Theory, Cali. | ||
| 588 | |a Description based on print version record. | ||
| 600 | 1 | 7 | |a Löwenheim, Leopold, |d 1878-1957 |2 fast |0 (OCoLC)fst00505157 |
| 600 | 1 | 0 | |a Löwenheim, Leopold, |d 1878-1957. |
| 650 | 7 | |a Model theory. |2 fast |0 (OCoLC)fst01024368 | |
| 650 | 7 | |a Logic, Symbolic and mathematical. |2 fast |0 (OCoLC)fst01002068 | |
| 650 | 7 | |a MATHEMATICS |x General. |2 bisacsh | |
| 650 | 6 | |a Theorie des modeles. | |
| 650 | 6 | |a Logique symbolique et mathematique. | |
| 650 | 0 | |a Model theory. | |
| 650 | 0 | |a Logic, Symbolic and mathematical. | |
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| 830 | 0 | |a Book collections on Project MUSE. | |
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| 945 | |a Project MUSE - Custom Collection | ||