Mathematical Logic: An Introduction to Model Theory
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1978
|
| Schriftenreihe: | Mathematical Concepts and Methods in Science and Engineering
9 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Before his death in March, 1976, A. H. Lightstone delivered the manu script for this book to Plenum Press. Because he died before the editorial work on the manuscript was completed, I agreed (in the fall of 1976) to serve as a surrogate author and to see the project through to completion. I have changed the manuscript as little as possible, altering certain passages to correct oversights. But the alterations are minor; this is Lightstone's book. H. B. Enderton vii Preface This is a treatment of the predicate calculus in a form that serves as a foundation for nonstandard analysis. Classically, the predicates and variables of the predicate calculus are kept distinct, inasmuch as no variable is also a predicate; moreover, each predicate is assigned an order, a unique natural number that indicates the length of each tuple to which the predicate can be prefixed. These restrictions are dropped here, in order to develop a flexible, expressive language capable of exploiting the potential of nonstandard analysis. To assist the reader in grasping the basic ideas of logic, we begin in Part I by presenting the propositional calculus and statement systems. This provides a relatively simple setting in which to grapple with the some times foreign ideas of mathematical logic. These ideas are repeated in Part II, where the predicate calculus and semantical systems are studied |
| Beschreibung: | 1 Online-Ressource (XIII, 338 p) |
| ISBN: | 9781461587507 9781461587521 |
| DOI: | 10.1007/978-1-4615-8750-7 |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4615-8750-7 |
| format | Electronic eBook |
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| isbn | 9781461587507 9781461587521 |
| language | English |
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| spelling | Lightstone, A. H. Verfasser aut Mathematical Logic An Introduction to Model Theory by A. H. Lightstone ; edited by H. B. Enderton Boston, MA Springer US 1978 1 Online-Ressource (XIII, 338 p) txt rdacontent c rdamedia cr rdacarrier Mathematical Concepts and Methods in Science and Engineering 9 Before his death in March, 1976, A. H. Lightstone delivered the manu script for this book to Plenum Press. Because he died before the editorial work on the manuscript was completed, I agreed (in the fall of 1976) to serve as a surrogate author and to see the project through to completion. I have changed the manuscript as little as possible, altering certain passages to correct oversights. But the alterations are minor; this is Lightstone's book. H. B. Enderton vii Preface This is a treatment of the predicate calculus in a form that serves as a foundation for nonstandard analysis. Classically, the predicates and variables of the predicate calculus are kept distinct, inasmuch as no variable is also a predicate; moreover, each predicate is assigned an order, a unique natural number that indicates the length of each tuple to which the predicate can be prefixed. These restrictions are dropped here, in order to develop a flexible, expressive language capable of exploiting the potential of nonstandard analysis. To assist the reader in grasping the basic ideas of logic, we begin in Part I by presenting the propositional calculus and statement systems. This provides a relatively simple setting in which to grapple with the some times foreign ideas of mathematical logic. These ideas are repeated in Part II, where the predicate calculus and semantical systems are studied Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Modelltheorie (DE-588)4114617-7 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 s Modelltheorie (DE-588)4114617-7 s 1\p DE-604 Enderton, H. B. Sonstige oth https://doi.org/10.1007/978-1-4615-8750-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lightstone, A. H. Mathematical Logic An Introduction to Model Theory Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Mathematische Logik (DE-588)4037951-6 gnd Modelltheorie (DE-588)4114617-7 gnd |
| subject_GND | (DE-588)4037951-6 (DE-588)4114617-7 |
| title | Mathematical Logic An Introduction to Model Theory |
| title_auth | Mathematical Logic An Introduction to Model Theory |
| title_exact_search | Mathematical Logic An Introduction to Model Theory |
| title_full | Mathematical Logic An Introduction to Model Theory by A. H. Lightstone ; edited by H. B. Enderton |
| title_fullStr | Mathematical Logic An Introduction to Model Theory by A. H. Lightstone ; edited by H. B. Enderton |
| title_full_unstemmed | Mathematical Logic An Introduction to Model Theory by A. H. Lightstone ; edited by H. B. Enderton |
| title_short | Mathematical Logic |
| title_sort | mathematical logic an introduction to model theory |
| title_sub | An Introduction to Model Theory |
| topic | Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Mathematische Logik (DE-588)4037951-6 gnd Modelltheorie (DE-588)4114617-7 gnd |
| topic_facet | Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Mathematische Logik Modelltheorie |
| url | https://doi.org/10.1007/978-1-4615-8750-7 |
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