Popular Lectures on Mathematical Logic

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486171043
Total Pages : 292 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Popular Lectures on Mathematical Logic by : Hao Wang

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.

Lectures in Logic and Set Theory: Volume 1, Mathematical Logic

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1139439421
Total Pages : 344 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Lectures in Logic and Set Theory: Volume 1, Mathematical Logic by : George Tourlakis

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.

Popular Lectures on Logic

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Publisher :
ISBN 13 : 9781520785882
Total Pages : 159 pages
Book Rating : 4.7/5 (858 download)

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Book Synopsis Popular Lectures on Logic by : J. -M. Kuczynski

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

Lectures on Mathematical Logic

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Author :
Publisher : CRC Press
ISBN 13 : 148228300X
Total Pages : 330 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Lectures on Mathematical Logic by : Walter Felscher

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.

Mathematical Logic

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Publisher :
ISBN 13 : 9781107128569
Total Pages : 328 pages
Book Rating : 4.1/5 (285 download)

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Book Synopsis Mathematical Logic by : George J. Tourlakis

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:

Aspects of Mathematical Logic

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Publisher : Springer Science & Business Media
ISBN 13 : 3642110800
Total Pages : 285 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Aspects of Mathematical Logic by : E. Casari

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 285 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.

Lectures on the Philosophy of Mathematics

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Author :
Publisher : MIT Press
ISBN 13 : 0262542234
Total Pages : 350 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Lectures on the Philosophy of Mathematics by : Joel David Hamkins

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.

David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933

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Author :
Publisher : Springer-Verlag
ISBN 13 : 3540694447
Total Pages : 1062 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933 by : William Ewald

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.

Effective Mathematics of the Uncountable

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Publisher : Cambridge University Press
ISBN 13 : 1107014514
Total Pages : 205 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Effective Mathematics of the Uncountable by : Noam Greenberg

Download or read book Effective Mathematics of the Uncountable written by Noam Greenberg and published by Cambridge University Press. This book was released on 2013-10-31 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to eight major approaches to computation on uncountable mathematical domains.

Lectures on the Logic of Computer Programming

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Author :
Publisher : SIAM
ISBN 13 : 9781611970388
Total Pages : 53 pages
Book Rating : 4.9/5 (73 download)

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Book Synopsis Lectures on the Logic of Computer Programming by : Zohar Manna

Download or read book Lectures on the Logic of Computer Programming written by Zohar Manna and published by SIAM. This book was released on 1980-01-01 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with aspects of the computer programming process that involve techniques derived from mathematical logic. The author focuses on proving that a given program produces the intended result whenever it halts, that a given program will eventually halt, that a given program is partially correct and terminates, and that a system of rewriting rules always halts. Also, the author describes the intermediate behavior of a given program, and discusses constructing a program to meet a given specification.

A Concise Introduction to Mathematical Logic

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Publisher : Springer
ISBN 13 : 1441912215
Total Pages : 337 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis A Concise Introduction to Mathematical Logic by : Wolfgang Rautenberg

Download or read book A Concise Introduction to Mathematical Logic written by Wolfgang Rautenberg and published by Springer. This book was released on 2010-07-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.

Perspectives on the History of Mathematical Logic

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817647694
Total Pages : 218 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Perspectives on the History of Mathematical Logic by : Thomas Drucker

Download or read book Perspectives on the History of Mathematical Logic written by Thomas Drucker and published by Springer Science & Business Media. This book was released on 2009-05-21 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers insights into the development of mathematical logic over the last century. Arising from a special session of the history of logic at an American Mathematical Society meeting, the chapters explore technical innovations, the philosophical consequences of work during the period, and the historical and social context in which the logicians worked. The discussions herein will appeal to mathematical logicians and historians of mathematics, as well as philosophers and historians of science.

Introduction to Mathematical Logic

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

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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.

Logicism Renewed

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Publisher : Cambridge University Press
ISBN 13 : 1108676936
Total Pages : pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Logicism Renewed by : Paul C. Gilmore

Download or read book Logicism Renewed written by Paul C. Gilmore and published by Cambridge University Press. This book was released on 2017-03-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Logicism, as put forward by Bertrand Russell, was predicated on a belief that all of mathematics can be deduced from a very small number of fundamental logical principles. In this volume, the twenty-third publication in the Lecture Notes in Logic series, Paul C. Gilmore revisits logicism in light of recent advances in mathematical logic and theoretical computer science. Gilmore addresses the need for languages which can be understood by both humans and computers and, using Intensional Type Theory (ITT), provides a unified basis for mathematics and computer science. This yields much simpler foundations for recursion theory and the semantics of computer programs than those currently provided by category theory.

Lectures in Logic and Set Theory

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Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (99 download)

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Book Synopsis Lectures in Logic and Set Theory by : George Tourlakis

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:

Special Functions and Their Applications

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Publisher : Courier Corporation
ISBN 13 : 9780486606248
Total Pages : 340 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Special Functions and Their Applications by : Nikola? Nikolaevich Lebedev

Download or read book Special Functions and Their Applications written by Nikola? Nikolaevich Lebedev and published by Courier Corporation. This book was released on 1972-01-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Russian mathematician views the theoretical and practical aspects of special functions and illustrates their significance in problem solving in physics and engineering

David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933

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Author :
Publisher : Springer
ISBN 13 : 9783540205784
Total Pages : 1062 pages
Book Rating : 4.2/5 (57 download)

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Book Synopsis David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933 by : William Ewald

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. This book was released on 2013-06-03 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.