lectures in logic and set theory volume 2 set theory cambridge studies in advanced mathematics

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Lectures In Logic And Set Theory Volume 2 Set Theory

Author : George Tourlakis
ISBN : 113943943X
Genre : Mathematics
File Size : 59. 74 MB
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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.

Lectures In Logic And Set Theory

Author : George J. Tourlakis
ISBN : OCLC:271460096
Genre : Logic, Symbolic and mathematical
File Size : 64. 82 MB
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Lectures In Logic And Set Theory Volume 1 Mathematical Logic

Author : George Tourlakis
ISBN : 1139439421
Genre : Mathematics
File Size : 81. 45 MB
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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.

Fundamentals Of Set And Number Theory

Author : Valeriy K. Zakharov
ISBN : 9783110550948
Genre : Mathematics
File Size : 62. 17 MB
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This comprehensive two-volume work is devoted to the most general beginnings of mathematics. It goes back to Hausdorff’s classic Set Theory (2nd ed., 1927), where set theory and the theory of functions were expounded as the fundamental parts of mathematics in such a way that there was no need for references to other sources. Along the lines of Hausdorff’s initial work (1st ed., 1914), measure and integration theory is also included here as the third fundamental part of contemporary mathematics.The material about sets and numbers is placed in Volume 1 and the material about functions and measures is placed in Volume 2. Contents Fundamentals of the theory of classes, sets, and numbers Characterization of all natural models of Neumann – Bernays – Godel and Zermelo – Fraenkel set theories Local theory of sets as a foundation for category theory and its connection with the Zermelo – Fraenkel set theory Compactness theorem for generalized second-order language

Logic Colloquium 2006

Author : S. Barry Cooper
ISBN : 9780521110815
Genre : Mathematics
File Size : 64. 9 MB
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The 2006 proceedings from the Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium.

Subject Guide To Books In Print

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ISBN : STANFORD:36105025888533
Genre : American literature
File Size : 57. 67 MB
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American Book Publishing Record

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ISBN : UOM:39015066180418
Genre : American literature
File Size : 49. 51 MB
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The Core Model Iterability Problem

Author : John R. Steel
ISBN : 9781107167964
Genre : Mathematics
File Size : 63. 27 MB
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Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. Large cardinal hypotheses play a central role in modern set theory. One important way to understand such hypotheses is to construct concrete, minimal universes, or 'core models', satisfying them. Since Gödel's pioneering work on the universe of constructible sets, several larger core models satisfying stronger hypotheses have been constructed, and these have proved quite useful. In this volume, the eighth publication in the Lecture Notes in Logic series, Steel extends this theory so that it can produce core models having Woodin cardinals, a large cardinal hypothesis that is the focus of much current research. The book is intended for advanced graduate students and researchers in set theory.

The Mathematical Intelligencer

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ISBN : UCSD:31822015731698
Genre : Mathematics
File Size : 72. 14 MB
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Lecture Notes In Pure And Applied Mathematics

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ISBN : UCAL:B5149211
Genre : Mathematics
File Size : 79. 5 MB
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