Popular Lectures On Mathematical Logic

Author : Hao Wang
Publisher : Courier Corporation
ISBN 13 : 0486171043
Total Pages : 292 pages
Book Rating : 4.43/5 ( download)

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Download or read book Popular Lectures on Mathematical Logic written by Hao Wang and published by Courier Corporation. This book was released on 2014-09-22 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : George Tourlakis
Publisher : Cambridge University Press
ISBN 13 : 1139439421
Total Pages : 344 pages
Book Rating : 4.28/5 ( download)

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Download or read book Lectures in Logic and Set Theory: Volume 1, Mathematical Logic written by George Tourlakis and published by Cambridge University Press. This book was released on 2003-01-09 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : J. -M. Kuczynski
Publisher :
ISBN 13 : 9781520785882
Total Pages : 159 pages
Book Rating : 4.87/5 ( download)

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Download or read book Popular Lectures on Logic written by J. -M. Kuczynski and published by . This book was released on 2017-03-08 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear answers are given to important questions in both theoretical and applied logic. The writing is cogent and straightforward. Table of Contents: 30 Principles of LogicBoolean Algebra as the Basis of Mathematical Logic Trilingual Logic 101 Principles of Logic Different kinds of Mathematical Functions: A Dialogue Fucntions, Bijections and Mapping-relations Logic and Formal TruthRelations and Ordinal Numbers Nine Kinds of NumberCausalityAnalyticity Is Mind an Emergent Property?Is Time-travel Possible?What is a Formal Language? Logic and Inference

Author : Walter Felscher
Publisher : CRC Press
ISBN 13 : 148228300X
Total Pages : 330 pages
Book Rating : 4.06/5 ( download)

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Download or read book Lectures on Mathematical Logic written by Walter Felscher and published by CRC Press. This book was released on 2014-04-21 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, logic starts from the observation that in everyday arguments, as brought forward by say a lawyer, statements are transformed linguistically, connecting them in formal ways irrespective of their contents. Understanding such arguments as deductive situations, or "sequents" in the technical terminology, the transformations between them can be expressed as logical rules. The book concludes with the algorithms producing the results of Gentzen's midsequent theorem and Herbrand's theorem for prenex formulas.

Author : Joel David Hamkins
Publisher : MIT Press
ISBN 13 : 0262542234
Total Pages : 350 pages
Book Rating : 4.34/5 ( download)

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Download or read book Lectures on the Philosophy of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-03-09 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.

Author : George J. Tourlakis
Publisher :
ISBN 13 : 9781107128569
Total Pages : 328 pages
Book Rating : 4.60/5 ( download)

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Download or read book Mathematical Logic written by George J. Tourlakis and published by . This book was released on 2003 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : George Tourlakis
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.20/5 ( download)

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Download or read book Lectures in Logic and Set Theory written by George Tourlakis and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : William Ewald
Publisher : Springer-Verlag
ISBN 13 : 3540694447
Total Pages : 1062 pages
Book Rating : 4.41/5 ( download)

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Download or read book David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933 written by William Ewald and published by Springer-Verlag. This book was released on 2013-05-14 with total page 1062 pages. Available in PDF, EPUB and Kindle. Book excerpt: The core of Volume 3 consists of lecture notes for seven sets of lectures Hilbert gave (often in collaboration with Bernays) on the foundations of mathematics between 1917 and 1926. These texts make possible for the first time a detailed reconstruction of the rapid development of Hilbert’s foundational thought during this period, and show the increasing dominance of the metamathematical perspective in his logical work: the emergence of modern mathematical logic; the explicit raising of questions of completeness, consistency and decidability for logical systems; the investigation of the relative strengths of various logical calculi; the birth and evolution of proof theory, and the parallel emergence of Hilbert’s finitist standpoint. The lecture notes are accompanied by numerous supplementary documents, both published and unpublished, including a complete version of Bernays’s Habilitationschrift of 1918, the text of the first edition of Hilbert and Ackermann’s Grundzüge der theoretischen Logik (1928), and several shorter lectures by Hilbert from the later 1920s. These documents, which provide the background to Hilbert and Bernays’s monumental Grundlagen der Mathematik (1934, 1938), are essential for understanding the development of modern mathematical logic, and for reconstructing the interactions between Hilbert, Bernays, Brouwer, and Weyl in the philosophy of mathematics.

Author : E. Casari
Publisher : Springer Science & Business Media
ISBN 13 : 3642110800
Total Pages : 283 pages
Book Rating : 4.01/5 ( download)

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Download or read book Aspects of Mathematical Logic written by E. Casari and published by Springer Science & Business Media. This book was released on 2011-06-06 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: H. Hermes: Basic notions and applications of the theory of decidability.- D. Kurepa: On several continuum hypotheses.- A. Mostowski: Models of set theory.- A. Robinson: Problems and methods of model theory.- S. Sochor, B. Balcar: The general theory of semisets. Syntactic models of the set theory.

Author : Joseph Mileti
Publisher : Cambridge University Press
ISBN 13 : 1108968198
Total Pages : 518 pages
Book Rating : 4.95/5 ( download)

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Download or read book Modern Mathematical Logic written by Joseph Mileti and published by Cambridge University Press. This book was released on 2022-08-31 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook gives a complete and modern introduction to mathematical logic. The author uses contemporary notation, conventions, and perspectives throughout, and emphasizes interactions with the rest of mathematics. In addition to covering the basic concepts of mathematical logic and the fundamental material on completeness, compactness, and incompleteness, it devotes significant space to thorough introductions to the pillars of the modern subject: model theory, set theory, and computability. Requiring only a modest background of undergraduate mathematics, the text can be readily adapted for a variety of one- or two-semester courses at the upper-undergraduate or beginning-graduate level. Numerous examples reinforce the key ideas and illustrate their applications, and a wealth of classroom-tested exercises serve to consolidate readers' understanding. Comprehensive and engaging, this book offers a fresh approach to this enduringly fascinating and important subject.