Titel: An Algebraic Introduction to Mathematical Logic (Graduate Texts in Mathematics)
Verlag: Springer
Erscheinungsjahr: 2013
Sprache: Englisch
ISBN-10: 1475744919
ISBN-13: 9781475744910
Einband: Softcover
Zustand: New

�ber diesen Titel

Inhaltsangabe

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.

Rese�a del editor

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.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Anbieterinformationen

50+ Million Books in stock & ready to ship! Excellent Prices, Service & Selection.

Zur Homepage des Verk�ufers

Unternehmensdaten des Verk�ufers

Gesch�ftsbedingungen und Versandinformationen

Verkaufsbedingungen

When you see an item on our listing, it means we have it available in one of our warehouses right here right now, ready for same day or next day processing of your order. Over 50+ Million books in stock & ready to ship same day. Customer Service is a top priority for us, we want every customer to be 100% satisfied. We offer the world's largest selection of books, music and video. Maintaining an accurate inventory of more than 50+ Million items, we are able to ship your order the same day it is r...

Mehr Information

Widerrufsbelehrung

Versandbedingungen

SUPER FAST SHIPPING!

Versandkosten innerhalb von USA

Versandkosten innerhalb von USA
Bestellmenge	1 bis 3�Werktage	1 bis 3�Werktage
Erster Artikel	EUR 7.56	EUR 16.83

Die Versandzeiten werden von den Verk�uferinnen und Verk�ufern festgelegt. Sie variieren je nach Versanddienstleister und Standort. Sendungen, die den Zoll passieren, k�nnen Verz�gerungen unterliegen. Eventuell anfallende Abgaben oder Geb�hren sind von der K�uferin bzw. dem K�ufer zu tragen. Die Verk�uferin bzw. der Verk�ufer kann Sie bez�glich zus�tzlicher Versandkosten kontaktieren, um einen m�glichen Anstieg der Versandkosten f�r Ihre Artikel auszugleichen.