Les Systemes Axiomatiques De La Theorie Des Ensembles

Download Les Systemes Axiomatiques De La Theorie Des Ensembles full books in PDF, epub, and Kindle. Read online Les Systemes Axiomatiques De La Theorie Des Ensembles ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Set Theory and Its Logic, Revised Edition

Author : Willard Van O QUINE
Publisher : Harvard University Press
ISBN 13 : 0674042425
Total Pages : 381 pages
Book Rating : 4.6/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Set Theory and Its Logic, Revised Edition by : Willard Van O QUINE

Download or read book Set Theory and Its Logic, Revised Edition written by Willard Van O QUINE and published by Harvard University Press. This book was released on 2009-06-30 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an extensively revised edition of Mr. Quine's introduction to abstract set theory and to various axiomatic systematizations of the subject. The treatment of ordinal numbers has been strengthened and much simplified, especially in the theory of transfinite recursions, by adding an axiom and reworking the proofs. Infinite cardinals are treated anew in clearer and fuller terms than before. Improvements have been made all through the book; in various instances a proof has been shortened, a theorem strengthened, a space-saving lemma inserted, an obscurity clarified, an error corrected, a historical omission supplied, or a new event noted.

Set Theory and Its Logic

Author : Willard Van Orman Quine
Publisher : Harvard University Press
ISBN 13 : 9780674802070
Total Pages : 384 pages
Book Rating : 4.8/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Set Theory and Its Logic by : Willard Van Orman Quine

Download or read book Set Theory and Its Logic written by Willard Van Orman Quine and published by Harvard University Press. This book was released on 1969 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an extensively revised edition of W. V. Quine’s introduction to abstract set theory and to various axiomatic systematizations of the subject. The treatment of ordinal numbers has been strengthened and much simplified, especially in the theory of transfinite recursions, by adding an axiom and reworking the proofs. Infinite cardinals are treated anew in clearer and fuller terms than before. Improvements have been made all through the book; in various instances a proof has been shortened, a theorem strengthened, a space-saving lemma inserted, an obscurity clarified, an error corrected, a historical omission supplied, or a new event noted.

Axiomatic Set Theory

Author : Lev D. Beklemishev
Publisher : Elsevier
ISBN 13 : 0080957412
Total Pages : 235 pages
Book Rating : 4.0/5 (89 download)

DOWNLOAD NOW!

Book Synopsis Axiomatic Set Theory by : Lev D. Beklemishev

Download or read book Axiomatic Set Theory written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Axiomatic Set Theory

SET THEORY

Author : Lev D. Beklemishev
Publisher : Elsevier
ISBN 13 : 0080957722
Total Pages : 433 pages
Book Rating : 4.0/5 (89 download)

DOWNLOAD NOW!

Book Synopsis SET THEORY by : Lev D. Beklemishev

Download or read book SET THEORY written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: SET THEORY

Systems of Logic

Author : Norman M. Martin
Publisher : Cambridge University Press
ISBN 13 : 9780521367707
Total Pages : 340 pages
Book Rating : 4.3/5 (677 download)

DOWNLOAD NOW!

Book Synopsis Systems of Logic by : Norman M. Martin

Download or read book Systems of Logic written by Norman M. Martin and published by Cambridge University Press. This book was released on 1989-07-28 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced study of systems of propositional logic offers a comprehensive account of a wide variety of logical systems and encourages students to take a critical stance toward the subject. A great variety of systems and subsystems are defined and compared as regards their deductive power and relation to their model theory. Special attention is given to the weakenings of classical logic and a more refined treatment of modal logic is presented.

Foundations of Set Theory

Author : A.A. Fraenkel
Publisher : Elsevier
ISBN 13 : 0080887058
Total Pages : 415 pages
Book Rating : 4.0/5 (88 download)

DOWNLOAD NOW!

Book Synopsis Foundations of Set Theory by : A.A. Fraenkel

Download or read book Foundations of Set Theory written by A.A. Fraenkel and published by Elsevier. This book was released on 1973-12-01 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Set Theory discusses the reconstruction undergone by set theory in the hands of Brouwer, Russell, and Zermelo. Only in the axiomatic foundations, however, have there been such extensive, almost revolutionary, developments. This book tries to avoid a detailed discussion of those topics which would have required heavy technical machinery, while describing the major results obtained in their treatment if these results could be stated in relatively non-technical terms. This book comprises five chapters and begins with a discussion of the antinomies that led to the reconstruction of set theory as it was known before. It then moves to the axiomatic foundations of set theory, including a discussion of the basic notions of equality and extensionality and axioms of comprehension and infinity. The next chapters discuss type-theoretical approaches, including the ideal calculus, the theory of types, and Quine's mathematical logic and new foundations; intuitionistic conceptions of mathematics and its constructive character; and metamathematical and semantical approaches, such as the Hilbert program. This book will be of interest to mathematicians, logicians, and statisticians.

Introduction to Symbolic Logic and Its Applications

Author : Rudolf Carnap
Publisher : Courier Corporation
ISBN 13 : 048614349X
Total Pages : 280 pages
Book Rating : 4.4/5 (861 download)

DOWNLOAD NOW!

Book Synopsis Introduction to Symbolic Logic and Its Applications by : Rudolf Carnap

Download or read book Introduction to Symbolic Logic and Its Applications written by Rudolf Carnap and published by Courier Corporation. This book was released on 2012-07-12 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear, comprehensive, and rigorous treatment develops the subject from elementary concepts to the construction and analysis of relatively complex logical languages. Hundreds of problems, examples, and exercises. 1958 edition.

The Logical Foundations of Mathematics

Author : William S. Hatcher
Publisher : Elsevier
ISBN 13 : 1483189635
Total Pages : 331 pages
Book Rating : 4.4/5 (831 download)

DOWNLOAD NOW!

Book Synopsis The Logical Foundations of Mathematics by : William S. Hatcher

Download or read book The Logical Foundations of Mathematics written by William S. Hatcher and published by Elsevier. This book was released on 2014-05-09 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Logical Foundations of Mathematics offers a study of the foundations of mathematics, stressing comparisons between and critical analyses of the major non-constructive foundational systems. The position of constructivism within the spectrum of foundational philosophies is discussed, along with the exact relationship between topos theory and set theory. Comprised of eight chapters, this book begins with an introduction to first-order logic. In particular, two complete systems of axioms and rules for the first-order predicate calculus are given, one for efficiency in proving metatheorems, and the other, in a "natural deduction" style, for presenting detailed formal proofs. A somewhat novel feature of this framework is a full semantic and syntactic treatment of variable-binding term operators as primitive symbols of logic. Subsequent chapters focus on the origin of modern foundational studies; Gottlob Frege's formal system intended to serve as a foundation for mathematics and its paradoxes; the theory of types; and the Zermelo-Fraenkel set theory. David Hilbert's program and Kurt Gödel's incompleteness theorems are also examined, along with the foundational systems of W. V. Quine and the relevance of categorical algebra for foundations. This monograph will be of interest to students, teachers, practitioners, and researchers in mathematics.

Course of Mathematical Logic

Author : R. Fraïssé
Publisher : Springer
ISBN 13 : 9401025290
Total Pages : 205 pages
Book Rating : 4.4/5 (1 download)

DOWNLOAD NOW!

Book Synopsis Course of Mathematical Logic by : R. Fraïssé

Download or read book Course of Mathematical Logic written by R. Fraïssé and published by Springer. This book was released on 2014-11-14 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Mathematical Logic

Author : Elliot Mendelsohn
Publisher : Springer Science & Business Media
ISBN 13 : 1461572886
Total Pages : 351 pages
Book Rating : 4.4/5 (615 download)

DOWNLOAD NOW!

Book Synopsis Introduction to Mathematical Logic by : Elliot Mendelsohn

Download or read book Introduction to Mathematical Logic written by Elliot Mendelsohn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a compact mtroduction to some of the pnncipal tOpICS of mathematical logic . In the belief that beginners should be exposed to the most natural and easiest proofs, I have used free-swinging set-theoretic methods. The significance of a demand for constructive proofs can be evaluated only after a certain amount of experience with mathematical logic has been obtained. If we are to be expelled from "Cantor's paradise" (as nonconstructive set theory was called by Hilbert), at least we should know what we are missing. The major changes in this new edition are the following. (1) In Chapter 5, Effective Computability, Turing-computabIlity IS now the central notion, and diagrams (flow-charts) are used to construct Turing machines. There are also treatments of Markov algorithms, Herbrand-Godel-computability, register machines, and random access machines. Recursion theory is gone into a little more deeply, including the s-m-n theorem, the recursion theorem, and Rice's Theorem. (2) The proofs of the Incompleteness Theorems are now based upon the Diagonalization Lemma. Lob's Theorem and its connection with Godel's Second Theorem are also studied. (3) In Chapter 2, Quantification Theory, Henkin's proof of the completeness theorem has been postponed until the reader has gained more experience in proof techniques. The exposition of the proof itself has been improved by breaking it down into smaller pieces and using the notion of a scapegoat theory. There is also an entirely new section on semantic trees.

Provability, Computability and Reflection

Author : Lev D. Beklemishev
Publisher : Elsevier
ISBN 13 : 0080957439
Total Pages : 428 pages
Book Rating : 4.0/5 (89 download)

DOWNLOAD NOW!

Book Synopsis Provability, Computability and Reflection by : Lev D. Beklemishev

Download or read book Provability, Computability and Reflection written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection

Godel's Theorems - Proceedings Of The First International Symposium

Author : Z W Wolkowski
Publisher : World Scientific
ISBN 13 : 9814553360
Total Pages : 248 pages
Book Rating : 4.8/5 (145 download)

DOWNLOAD NOW!

Book Synopsis Godel's Theorems - Proceedings Of The First International Symposium by : Z W Wolkowski

Download or read book Godel's Theorems - Proceedings Of The First International Symposium written by Z W Wolkowski and published by World Scientific. This book was released on 1993-02-04 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings publishes research results on the following disciplines: philosophy and epistemology, history and philosophy of science, mathematics, logic and computer science, social sciences, linguistics, cognitive sciences, artificial intelligence, general systems and operational research.

Foundations of Mathematical Logic

Author : Haskell Brooks Curry
Publisher : Courier Corporation
ISBN 13 : 9780486634623
Total Pages : 420 pages
Book Rating : 4.6/5 (346 download)

DOWNLOAD NOW!

Book Synopsis Foundations of Mathematical Logic by : Haskell Brooks Curry

Download or read book Foundations of Mathematical Logic written by Haskell Brooks Curry and published by Courier Corporation. This book was released on 1977-01-01 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a pioneer of mathematical logic, this comprehensive graduate-level text explores the constructive theory of first-order predicate calculus. It covers formal methods — including algorithms and epitheory — and offers a brief treatment of Markov's approach to algorithms. It also explains elementary facts about lattices and similar algebraic systems. 1963 edition.

Lost Voices

Author : Sophia M. Connell
Publisher : Taylor & Francis
ISBN 13 : 1000956202
Total Pages : 226 pages
Book Rating : 4.0/5 (9 download)

DOWNLOAD NOW!

Book Synopsis Lost Voices by : Sophia M. Connell

Download or read book Lost Voices written by Sophia M. Connell and published by Taylor & Francis. This book was released on 2023-09-12 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to redress the balance in the field of Contemporary Philosophy, considered predominantly male, by highlighting the philosophical achievements of various female figures during the period 1870-1970. Contemporary Philosophy is generally presented by its historians as a field founded entirely by men, with no prominent female contributors. Historical investigation of the development of contemporary analytic philosophy, for example, usually centres around Frege, Russell, and Wittgenstein, with occasional ventures into Moore or the Vienna Circle. Such accounts leave out vast swathes of the historical record (from early 19th century to 20th century), in particular the women, including Christine Ladd-Franklin, Sophie Bryant, E.E.C. Jones, Susan Stebbing, Dorothy Wrinch, Alice Ambrose, Margaret MacDonald, Martha Kneale, Ruth Barcan Marcus and Ayda Ignez Arruda publishing on themes central to analytic philosophy– logic, language, realism, and relations. It is noteworthy that this pattern in historiography is not unique to one strand of philosophy or one part of the world but re-appears again and again. In the continental tradition, the development of Schopenhauer's philosophy leaves out significant contributions of women such as Olga Plümacher. The chapters in this book examine central themes from the perspective of female philosophers to provide a fuller picture of Philosophy of this period. This volume will be a great resource for academics, researchers, and advanced students of Philosophy and Women’s Studies and for everyone interested in the contribution of women philosophers. It was originally published in the British Journal for the History of Philosophy.

Tran Moscow Math Soc, Vol 22-1970

Author : American Mathematical Society
Publisher : American Mathematical Soc.
ISBN 13 : 9780821895269
Total Pages : 300 pages
Book Rating : 4.8/5 (952 download)

DOWNLOAD NOW!

Book Synopsis Tran Moscow Math Soc, Vol 22-1970 by : American Mathematical Society

Download or read book Tran Moscow Math Soc, Vol 22-1970 written by American Mathematical Society and published by American Mathematical Soc.. This book was released on 1972-12-31 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers a diversity of topics, including factor representations of the anticommutation relations, facial characteristics of convex sets, statistical physics, categories with involution, and many-valued mappings and Borel sets

PAUL HALMOS Celebrating 50 Years of Mathematics

Author : John Ewing
Publisher : Springer Science & Business Media
ISBN 13 : 1461209676
Total Pages : 312 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis PAUL HALMOS Celebrating 50 Years of Mathematics by : John Ewing

Download or read book PAUL HALMOS Celebrating 50 Years of Mathematics written by John Ewing and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paul Halmos will celebrate his 75th birthday on the 3rd of March 1991. This volume, from colleagues, is an expression of affection for the man and respect for his contributions as scholar, writer, and teacher. It contains articles about Paul, about the times in which he worked and the places he has been, and about mathematics. Paul has furthered his profession in many ways and this collection reflects that diversity. Articles about Paul are not biographical, but rather tell about his ideas, his philosophy, and his style. Articles about the times and places in which Paul has worked describe people, events, and ways in which Paul has influenced students and colleagues over the past 50 years. Articles about mathematics are about all kinds of mathematics, including operator theory and Paul's research in the subject. This volume represents a slice of mathematical life and it shows how many parts of mathematics Paul has touched. It is fitting that this volume has been produced with the support and cooperation of Springer-Verlag. For over 35 years, Paul has contributed to mathematics publishing as founder and editor of many outstanding series.

Topological Spaces

Author : H. J. Kowalsky
Publisher : Academic Press
ISBN 13 : 1483265242
Total Pages : 297 pages
Book Rating : 4.4/5 (832 download)

DOWNLOAD NOW!

Book Synopsis Topological Spaces by : H. J. Kowalsky

Download or read book Topological Spaces written by H. J. Kowalsky and published by Academic Press. This book was released on 2014-05-12 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Spaces focuses on the applications of the theory of topological spaces to the different branches of mathematics. The book first offers information on elementary principles, topological spaces, and compactness and connectedness. Discussions focus on locally compact spaces, local connectedness, fundamental concepts and their reformulations, lattice of topologies, axioms of separation, fundamental concepts of set theory, and ordered sets and lattices. The manuscript then ponders on mappings and extensions and characterization of topological spaces, including completely regular spaces, transference of topologies, Wallman compactification, and embeddings. The publication takes a look at metric and uniform spaces and applications of topological groups. Topics include the Stone-Weierstrass Approximation Theorem, extensions and completions of topological groups, topological rings and fields, extension and completion of uniform spaces, uniform continuity and uniform convergence, metric spaces, and metritization. The text is a valuable reference for mathematicians and researchers interested in the study of topological spaces.