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Author : Alfred Tarski
Publisher : Hackett Publishing
ISBN 13 : 9780915144761
Total Pages : 542 pages
Book Rating : 4.1/5 (447 download)
Download or read book Logic, Semantics, Metamathematics written by Alfred Tarski and published by Hackett Publishing. This book was released on 1983-01-01 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alfred Tarski
Publisher : Hackett Publishing Company Incorporated
ISBN 13 : 9780915144754
Total Pages : 506 pages
Book Rating : 4.1/5 (447 download)
Download or read book Logic, Semantics, Metamathematics written by Alfred Tarski and published by Hackett Publishing Company Incorporated. This book was released on 1983 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published with the aid of a grant from the National Endowment for the Humanities. Contains the only complete English-language text of The Concept of Truth in Formalized Languages. Tarski made extensive corrections and revisions of the original translations for this edition, along with new historical remarks. It includes a new preface and a new analytical index for use by philosophers and linguists as well as by historians of mathematics and philosophy.
Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (637 download)
Download or read book Logic, Semantics, Metamathematics written by and published by . This book was released on 1969 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter B. Andrews
Publisher : Springer Science & Business Media
ISBN 13 : 9781402007637
Total Pages : 416 pages
Book Rating : 4.0/5 (76 download)
Download or read book An Introduction to Mathematical Logic and Type Theory written by Peter B. Andrews and published by Springer Science & Business Media. This book was released on 2002-07-31 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: In case you are considering to adopt this book for courses with over 50 students, please contact [email protected] for more information. This introduction to mathematical logic starts with propositional calculus and first-order logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cut-elimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and definability. The last three chapters of the book provide an introduction to type theory (higher-order logic). It is shown how various mathematical concepts can be formalized in this very expressive formal language. This expressive notation facilitates proofs of the classical incompleteness and undecidability theorems which are very elegant and easy to understand. The discussion of semantics makes clear the important distinction between standard and nonstandard models which is so important in understanding puzzling phenomena such as the incompleteness theorems and Skolem's Paradox about countable models of set theory. Some of the numerous exercises require giving formal proofs. A computer program called ETPS which is available from the web facilitates doing and checking such exercises. Audience: This volume will be of interest to mathematicians, computer scientists, and philosophers in universities, as well as to computer scientists in industry who wish to use higher-order logic for hardware and software specification and verification.
Author : Alfred Tarski
Publisher : Dover Books on Mathematics
ISBN 13 : 9780486477039
Total Pages : 0 pages
Book Rating : 4.4/5 (77 download)
Download or read book Undecidable Theories written by Alfred Tarski and published by Dover Books on Mathematics. This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-known book by the famed logician consists of three treatises: A General Method in Proofs of Undecidability, Undecidability and Essential Undecidability in Mathematics, and Undecidability of the Elementary Theory of Groups. 1953 edition.
Author : Robert R. Stoll
Publisher : Courier Corporation
ISBN 13 : 0486139646
Total Pages : 516 pages
Book Rating : 4.4/5 (861 download)
Download or read book Set Theory and Logic written by Robert R. Stoll and published by Courier Corporation. This book was released on 2012-05-23 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Monika Gruber
Publisher : Springer
ISBN 13 : 3319326163
Total Pages : 197 pages
Book Rating : 4.3/5 (193 download)
Download or read book Alfred Tarski and the "Concept of Truth in Formalized Languages" written by Monika Gruber and published by Springer. This book was released on 2016-09-02 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed commentary on the classic monograph by Alfred Tarski, and offers a reinterpretation and retranslation of the work using the original Polish text and the English and German translations. In the original work, Tarski presents a method for constructing definitions of truth for classical, quantificational formal languages. Furthermore, using the defined notion of truth, he demonstrates that it is possible to provide intuitively adequate definitions of the semantic notions of definability and denotation and that the notion in a structure can be defined in a way that is analogous to that used to define truth. Tarski’s piece is considered to be one of the major contributions to logic, semantics, and epistemology in the 20th century. However, the author points out that some mistakes were introduced into the text when it was translated into German in 1935. As the 1956 English version of the work was translated from the German text, those discrepancies were carried over in addition to new mistakes. The author has painstakingly compared the three texts, sentence-by-sentence, highlighting the inaccurate translations, offering explanations as to how they came about, and commenting on how they have influenced the content and suggesting a correct interpretation of certain passages. Furthermore, the author thoroughly examines Tarski’s article, offering interpretations and comments on the work.
Author : Sten Lindström
Publisher : Springer Science & Business Media
ISBN 13 : 1402089260
Total Pages : 509 pages
Book Rating : 4.4/5 (2 download)
Download or read book Logicism, Intuitionism, and Formalism written by Sten Lindström and published by Springer Science & Business Media. This book was released on 2008-11-25 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This anthology reviews the programmes in the foundations of mathematics from the classical period and assesses their possible relevance for contemporary philosophy of mathematics. A special section is concerned with constructive mathematics.
Author : Rudolf Carnap
Publisher : Routledge
ISBN 13 : 1317830601
Total Pages : 369 pages
Book Rating : 4.3/5 (178 download)
Download or read book Logical Syntax of Language written by Rudolf Carnap and published by Routledge. This book was released on 2014-06-23 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is IV volume of eight in a series on Philosophy of the Mind and Language. For nearly a century mathematicians and logicians have been striving hard to make logic an exact science. But a book on logic must contain, in addition to the formulae, an expository context which, with the assistance of the words of ordinary language, explains the formulae and the relations between them; and this context often leaves much to be desired in the matter of clarity and exactitude. Originally published in 1937, the purpose of the present work is to give a systematic exposition of such a method, namely, of the method of " logical syntax".
Author : Theodore Hailperin
Publisher : Lehigh University Press
ISBN 13 : 9780934223454
Total Pages : 316 pages
Book Rating : 4.2/5 (234 download)
Download or read book Sentential Probability Logic written by Theodore Hailperin and published by Lehigh University Press. This book was released on 1996 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study presents a logic in which probability values play a semantic role comparable to that of truth values in conventional logic. The difference comes in with the semantic definition of logical consequence. It will be of interest to logicians, both philosophical and mathematical, and to investigators making use of logical inference under uncertainty, such as in operations research, risk analysis, artificial intelligence, and expert systems.
Author : Radim Bělohlávek
Publisher : Oxford University Press
ISBN 13 : 0190200014
Total Pages : 545 pages
Book Rating : 4.1/5 (92 download)
Download or read book Fuzzy Logic and Mathematics written by Radim Bělohlávek and published by Oxford University Press. This book was released on 2017 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main part of the book is a comprehensive overview of the development of fuzzy logic and its applications in various areas of human affair since its genesis in the mid 1960s. This overview is then employed for assessing the significance of fuzzy logic and mathematics based on fuzzy logic.
Author : G.V. Morrill
Publisher : Springer Science & Business Media
ISBN 13 : 9401110425
Total Pages : 312 pages
Book Rating : 4.4/5 (11 download)
Download or read book Type Logical Grammar written by G.V. Morrill 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: This book sets out the foundations, methodology, and practice of a formal framework for the description of language. The approach embraces the trends of lexicalism and compositional semantics in computational linguistics, and theoretical linguistics more broadly, by developing categorial grammar into a powerful and extendable logic of signs. Taking Montague Grammar as its point of departure, the book explains how integration of methods from philosophy (logical semantics), computer science (type theory), linguistics (categorial grammar) and meta-mathematics (mathematical logic ) provides a categorial foundation with coverage including intensionality, quantification, featural polymorphism, domains and constraints. For the first time, the book systematises categorial thinking into a unified program which is at once both logically secured, and a practical tool for pure lexical grammar development with type-theoretic semantics. It should be of interest to all those active in computational linguistics and formal grammar and is suitable for use at advanced undergraduate, postgraduate, and research levels.
Author : Raymond M. Smullyan
Publisher : Oxford Logic Guides
ISBN 13 : 9780198534501
Total Pages : 0 pages
Book Rating : 4.5/5 (345 download)
Download or read book Diagonalization and Self-reference written by Raymond M. Smullyan and published by Oxford Logic Guides. This book was released on 1994 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to present a unified treatment of fixed points as they occur in Godel's incompleteness proofs, recursion theory, combinatory logic, semantics, and metamathematics. The book provides a survey of introductory material and a summary of recent research. The firstchapters are of an introductory nature and consist mainly of exercises with solutions given to most of them.
Author : Anita Burdman Feferman
Publisher : Cambridge University Press
ISBN 13 : 9780521802406
Total Pages : 442 pages
Book Rating : 4.8/5 (24 download)
Download or read book Alfred Tarski written by Anita Burdman Feferman and published by Cambridge University Press. This book was released on 2004-10-04 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Author : Michael Dummett
Publisher : Harvard University Press
ISBN 13 : 9780674537866
Total Pages : 376 pages
Book Rating : 4.5/5 (378 download)
Download or read book The Logical Basis of Metaphysics written by Michael Dummett and published by Harvard University Press. This book was released on 1991 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This performance of the Richard Strauss opera Arabella with the Orchestra of the Vienna State Opera features vocalists such as Emily Magee, Genia Kuhmeier, and Tomasz Konieczny in the leading roles. ~ Cammila Collar, Rovi
Author : Craig DeLancey
Publisher : Open SUNY Textbooks
ISBN 13 : 9781942341437
Total Pages : pages
Book Rating : 4.3/5 (414 download)
Download or read book A Concise Introduction to Logic written by Craig DeLancey and published by Open SUNY Textbooks. This book was released on 2017-02-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.3/5 (91 download)
Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
