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Synopsis
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 of the sub-ject is algebraic. Although we assume 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 assume 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 of logic 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 come only by analogy with the model, and are to be regarded in much the same way as the conclusions drawn from any scientific theory.
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- ÉditeurSpringer
- Date d'édition2013
- ISBN 10 1475744919
- ISBN 13 9781475744910
- ReliureBroché
- Langueanglais
- Nombre de pages136
- Coordonnées du fabricantnon disponible
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An Algebraic Introduction to Mathematical Logic
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Springer, 2013
ISBN 10 : 1475744919
ISBN 13 : 9781475744910
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An Algebraic Introduction to Mathematical Logic
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ISBN 10 : 1475744919
ISBN 13 : 9781475744910
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An Algebraic Introduction to Mathematical Logic (Graduate Texts in Mathematics)
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An Algebraic Introduction to Mathematical Logic
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An Algebraic Introduction to Mathematical Logic
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Springer New York, Springer New York Feb 2013, 2013
ISBN 10 : 1475744919
ISBN 13 : 9781475744910
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 substantial course on abstract algebra. Consequently, our treatment of the subject is algebraic. Although we assume 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 assume 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 of logic 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 come only by analogy with the model, and are to be regarded in much the same way as the conclusions drawn from any scientific theory.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 136 pp. Englisch. N° de réf. du vendeur 9781475744910
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An Algebraic Introduction to Mathematical Logic
Edité par
Springer New York, Springer New York, 2013
ISBN 10 : 1475744919
ISBN 13 : 9781475744910
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 substantial course on abstract algebra. Consequently, our treatment of the subject is algebraic. Although we assume 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 assume 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 of logic 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 come only by analogy with the model, and are to be regarded in much the same way as the conclusions drawn from any scientific theory. N° de réf. du vendeur 9781475744910
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An Algebraic Introduction to Mathematical Logic
Edité par
Springer New York Feb 2013, 2013
ISBN 10 : 1475744919
ISBN 13 : 9781475744910
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 substantial course on abstract algebra. Consequently, our treatment of the subject is algebraic. Although we assume 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 assume 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 of logic 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 come only by analogy with the model, and are to be regarded in much the same way as the conclusions drawn from any scientific theory. 136 pp. Englisch. N° de réf. du vendeur 9781475744910
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An Algebraic Introduction to Mathematical Logic (Graduate Texts in Mathematics)
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An Algebraic Introduction to Mathematical Logic
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Springer-Verlag New York Inc., 2013
ISBN 10 : 1475744919
ISBN 13 : 9781475744910
Neuf
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An Algebraic Introduction to Mathematical Logic (Graduate Texts in Mathematics)
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Paperback. Etat : Brand New. 121 pages. 9.00x6.00x0.50 inches. In Stock. N° de réf. du vendeur x-1475744919
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