Lectures In Logic And Set Theory Volume 1 Mathematical Logic PDF Download
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Author | : George Tourlakis |
Publisher | : Cambridge University Press |
Total Pages | : 344 |
Release | : 2003-01-09 |
Genre | : Mathematics |
ISBN | : 1139439421 |
Download Lectures in Logic and Set Theory: Volume 1, Mathematical Logic Book in PDF, ePub and Kindle
This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume 1 includes formal proof techniques, a section on applications of compactness (including nonstandard analysis), a generous dose of computability and its relation to the incompleteness phenomenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen theorem.
Author | : George J. Tourlakis |
Publisher | : |
Total Pages | : 328 |
Release | : 2003 |
Genre | : Electronic books |
ISBN | : 9781107128569 |
Download Mathematical Logic Book in PDF, ePub and Kindle
Author | : George Tourlakis |
Publisher | : |
Total Pages | : |
Release | : 2003 |
Genre | : |
ISBN | : |
Download Lectures in Logic and Set Theory Book in PDF, ePub and Kindle
Author | : George Tourlakis |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2011-07-21 |
Genre | : Mathematics |
ISBN | : 9780521168489 |
Download Lectures in Logic and Set Theory: Volume 2, Set Theory Book in PDF, ePub and Kindle
Volume II, on formal (ZFC) set theory, incorporates a self-contained "chapter 0" on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques provides a solid foundation in set theory and a thorough context for the presentation of advanced topics (such as absoluteness, relative consistency results, two expositions of Godel's construstive universe, numerous ways of viewing recursion and Cohen forcing).
Author | : Robert R. Stoll |
Publisher | : Courier Corporation |
Total Pages | : 516 |
Release | : 2012-05-23 |
Genre | : Mathematics |
ISBN | : 0486139646 |
Download Set Theory and Logic Book in PDF, ePub and Kindle
Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.
Author | : Hao Wang |
Publisher | : Courier Corporation |
Total Pages | : 290 |
Release | : 2014-09-22 |
Genre | : Mathematics |
ISBN | : 0486171043 |
Download Popular Lectures on Mathematical Logic Book in PDF, ePub and Kindle
Noted logician discusses both theoretical underpinnings and practical applications, exploring set theory, model theory, recursion theory and constructivism, proof theory, logic's relation to computer science, and other subjects. 1981 edition, reissued by Dover in 1993 with a new Postscript by the author.
Author | : Igor Lavrov |
Publisher | : Springer Science & Business Media |
Total Pages | : 288 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461501857 |
Download Problems in Set Theory, Mathematical Logic and the Theory of Algorithms Book in PDF, ePub and Kindle
Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by I. Lavrov & L. Maksimova is an English translation of the fourth edition of the most popular student problem book in mathematical logic in Russian. It covers major classical topics in proof theory and the semantics of propositional and predicate logic as well as set theory and computation theory. Each chapter begins with 1-2 pages of terminology and definitions that make the book self-contained. Solutions are provided. The book is likely to become an essential part of curricula in logic.
Author | : George Tourlakis |
Publisher | : Cambridge University Press |
Total Pages | : 596 |
Release | : 2003-02-13 |
Genre | : Mathematics |
ISBN | : 9781139439435 |
Download Lectures in Logic and Set Theory: Volume 2, Set Theory Book in PDF, ePub and Kindle
This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume II, on formal (ZFC) set theory, incorporates a self-contained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing.
Author | : Yiannis Moschovakis |
Publisher | : Springer Science & Business Media |
Total Pages | : 280 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 1475741537 |
Download Notes on Set Theory Book in PDF, ePub and Kindle
What this book is about. The theory of sets is a vibrant, exciting math ematical theory, with its own basic notions, fundamental results and deep open problems, and with significant applications to other mathematical theories. At the same time, axiomatic set theory is often viewed as a foun dation ofmathematics: it is alleged that all mathematical objects are sets, and their properties can be derived from the relatively few and elegant axioms about sets. Nothing so simple-minded can be quite true, but there is little doubt that in standard, current mathematical practice, "making a notion precise" is essentially synonymous with "defining it in set theory. " Set theory is the official language of mathematics, just as mathematics is the official language of science. Like most authors of elementary, introductory books about sets, I have tried to do justice to both aspects of the subject. From straight set theory, these Notes cover the basic facts about "ab stract sets," including the Axiom of Choice, transfinite recursion, and car dinal and ordinal numbers. Somewhat less common is the inclusion of a chapter on "pointsets" which focuses on results of interest to analysts and introduces the reader to the Continuum Problem, central to set theory from the very beginning.
Author | : D.W. Barnes |
Publisher | : Springer Science & Business Media |
Total Pages | : 129 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 1475744897 |
Download An Algebraic Introduction to Mathematical Logic Book in PDF, ePub and Kindle
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.