An Algebraic Introduction to Mathematical Logic:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1975
|
| Series: | Graduate Texts in Mathematics
22 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This book is intended for mathematicians. Its origins lie in a course of lectures given by an algebraist to a class which had just completed a sub stantial course on abstract algebra. Consequently, our treatment ofthe sub ject is algebraic. Although we assurne a reasonable level of sophistication in algebra, the text requires little more than the basic notions of group, ring, module, etc. A more detailed knowledge of algebra is required for some of . the exercises. We also assurne a familiarity with the main ideas of set theory, including cardinal numbers and Zorn's Lemma. In this book, we carry out a mathematical study of the logic used in mathematics. We do this by constructing a mathematical model oflogic and applying mathematics to analyse the properties of the model. We therefore regard all our existing knowledge of mathematics as being applicable to the analysis of the model, and in particular we accept set theory as part of the meta-Ianguage. We are not attempting to construct a foundation on which all mathematics is to be based-rather, any conclusions to be drawn about the foundations of mathematics co me only by analogy with the model, and are to be regarded in much the same way as the conclusions drawn from any scientific theory |
| Physical Description: | 1 Online-Ressource (IX, 123 p) |
| ISBN: | 9781475744897 9781475744910 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4757-4489-7 |
Staff View
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475744897 9781475744910 |
| issn | 0072-5285 |
| language | English |
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| spelling | Barnes, Donald W. Verfasser aut An Algebraic Introduction to Mathematical Logic by Donald W. Barnes, John M. Mack New York, NY Springer New York 1975 1 Online-Ressource (IX, 123 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 22 0072-5285 This book is intended for mathematicians. Its origins lie in a course of lectures given by an algebraist to a class which had just completed a sub stantial course on abstract algebra. Consequently, our treatment ofthe sub ject is algebraic. Although we assurne a reasonable level of sophistication in algebra, the text requires little more than the basic notions of group, ring, module, etc. A more detailed knowledge of algebra is required for some of . the exercises. We also assurne a familiarity with the main ideas of set theory, including cardinal numbers and Zorn's Lemma. In this book, we carry out a mathematical study of the logic used in mathematics. We do this by constructing a mathematical model oflogic and applying mathematics to analyse the properties of the model. We therefore regard all our existing knowledge of mathematics as being applicable to the analysis of the model, and in particular we accept set theory as part of the meta-Ianguage. We are not attempting to construct a foundation on which all mathematics is to be based-rather, any conclusions to be drawn about the foundations of mathematics co me only by analogy with the model, and are to be regarded in much the same way as the conclusions drawn from any scientific theory Mathematics Mathematics, general Mathematik Prädikatenlogik (DE-588)4046974-8 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Mathematische Logik (DE-588)4037951-6 s 2\p DE-604 Algebra (DE-588)4001156-2 s 3\p DE-604 Prädikatenlogik (DE-588)4046974-8 s 4\p DE-604 Mack, John M. Sonstige oth https://doi.org/10.1007/978-1-4757-4489-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Barnes, Donald W. An Algebraic Introduction to Mathematical Logic Mathematics Mathematics, general Mathematik Prädikatenlogik (DE-588)4046974-8 gnd Mathematische Logik (DE-588)4037951-6 gnd Algebra (DE-588)4001156-2 gnd |
| subject_GND | (DE-588)4046974-8 (DE-588)4037951-6 (DE-588)4001156-2 (DE-588)4151278-9 |
| title | An Algebraic Introduction to Mathematical Logic |
| title_auth | An Algebraic Introduction to Mathematical Logic |
| title_exact_search | An Algebraic Introduction to Mathematical Logic |
| title_full | An Algebraic Introduction to Mathematical Logic by Donald W. Barnes, John M. Mack |
| title_fullStr | An Algebraic Introduction to Mathematical Logic by Donald W. Barnes, John M. Mack |
| title_full_unstemmed | An Algebraic Introduction to Mathematical Logic by Donald W. Barnes, John M. Mack |
| title_short | An Algebraic Introduction to Mathematical Logic |
| title_sort | an algebraic introduction to mathematical logic |
| topic | Mathematics Mathematics, general Mathematik Prädikatenlogik (DE-588)4046974-8 gnd Mathematische Logik (DE-588)4037951-6 gnd Algebra (DE-588)4001156-2 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Prädikatenlogik Mathematische Logik Algebra Einführung |
| url | https://doi.org/10.1007/978-1-4757-4489-7 |
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