ISBN: 9781475744897

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. Co… Mehr…

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. Books > Mathematics eBook, Springer Shop<

ISBN: 9781475744897

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. Con… Mehr…

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<

ISBN: 9781475744897

*An Algebraic Introduction to Mathematical Logic* / pdf eBook für 79.99 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher nein eBook als pdf eBooks > Fach… Mehr…

*An Algebraic Introduction to Mathematical Logic* / pdf eBook für 79.99 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher nein eBook als pdf eBooks > Fachthemen & Wissenschaft > Mathematik, Springer New York<

ISBN: 9781475744897

An Algebraic Introduction to Mathematical Logic: ab 79.99 € eBooks > Fachthemen & Wissenschaft > Mathematik Springer New York, Springer New York

ISBN: 9781475744897

; PDF; Scientific, Technical and Medical > Mathematical foundations, Elsevier Science