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Author : Paul Teller
Publisher :
ISBN 13 : 9780139031960
Total Pages : 304 pages
Book Rating : 4.0/5 (319 download)
Download or read book Predicate logic and metatheory written by Paul Teller and published by . This book was released on 1989 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Geoffrey Hunter
Publisher : Univ of California Press
ISBN 13 : 9780520023567
Total Pages : 306 pages
Book Rating : 4.0/5 (235 download)
Download or read book Metalogic written by Geoffrey Hunter and published by Univ of California Press. This book was released on 1973-06-26 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work makes available to readers without specialized training in mathematics complete proofs of the fundamental metatheorems of standard (i.e., basically truth-functional) first order logic. Included is a complete proof, accessible to non-mathematicians, of the undecidability of first order logic, the most important fact about logic to emerge from the work of the last half-century. Hunter explains concepts of mathematics and set theory along the way for the benefit of non-mathematicians. He also provides ample exercises with comprehensive answers.
Author : Paul Teller
Publisher :
ISBN 13 : 9780139031700
Total Pages : 0 pages
Book Rating : 4.0/5 (317 download)
Download or read book Sentence logic written by Paul Teller and published by . This book was released on 1989 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two-volume introduction to formal logic. Volume I presents sentence logic and Volume II covers predicate logic and metatheory. Features easy-to-understand explanations and graded exercises.
Author : Aladdin M. Yaqub
Publisher : Broadview Press
ISBN 13 : 1770483810
Total Pages : 346 pages
Book Rating : 4.7/5 (74 download)
Download or read book An Introduction to Metalogic written by Aladdin M. Yaqub and published by Broadview Press. This book was released on 2014-10-24 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Metalogic is a uniquely accessible introduction to the metatheory of first-order predicate logic. No background knowledge of logic is presupposed, as the book is entirely self-contained and clearly defines all of the technical terms it employs. Yaqub begins with an introduction to predicate logic and ends with detailed outlines of the proofs of the incompleteness, undecidability, and indefinability theorems, covering many related topics in between.
Author : Paul Teller
Publisher :
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Modern Formal Logic Primer: Predicate logic and metatheory written by Paul Teller and published by . This book was released on 1989 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aladdin M. Yaqub
Publisher : Broadview Press
ISBN 13 : 1554811716
Total Pages : 346 pages
Book Rating : 4.5/5 (548 download)
Download or read book An Introduction to Metalogic written by Aladdin M. Yaqub and published by Broadview Press. This book was released on 2014-10-24 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Metalogic is a uniquely accessible introduction to the metatheory of first-order predicate logic. No background knowledge of logic is presupposed, as the book is entirely self-contained and clearly defines all of the technical terms it employs. Yaqub begins with an introduction to predicate logic and ends with detailed outlines of the proofs of the incompleteness, undecidability, and indefinability theorems, covering many related topics in between.
Author : John Pollock
Publisher : Routledge
ISBN 13 : 9780367305031
Total Pages : 126 pages
Book Rating : 4.3/5 (5 download)
Download or read book Technical Methods in Philosophy written by John Pollock and published by Routledge. This book was released on 2021-06-02 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the technical tools and concepts that are indispensable for advanced work in philosophy. Beginning with the fundamentals of set theory, the author guides the reader through relations, functions and the theory of arithmetic before using these tools to clarify the metatheory of the predicate calculus. There are discussions of recursive definitions, Godel's Theorem, and completeness for the predicate calculus. The text emphasizes the structure of these systems and the metatheory behind them.
Author : Aladdin M. Yaqub
Publisher : Broadview Press
ISBN 13 : 1460402448
Total Pages : 346 pages
Book Rating : 4.4/5 (64 download)
Download or read book An Introduction to Metalogic written by Aladdin M. Yaqub and published by Broadview Press. This book was released on 2014-10-24 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Metalogic is a uniquely accessible introduction to the metatheory of first-order predicate logic. No background knowledge of logic is presupposed, as the book is entirely self-contained and clearly defines all of the technical terms it employs. Yaqub begins with an introduction to predicate logic and ends with detailed outlines of the proofs of the incompleteness, undecidability, and indefinability theorems, covering many related topics in between.
Author : Peter Baumgartner
Publisher : Springer Science & Business Media
ISBN 13 : 9783540593386
Total Pages : 372 pages
Book Rating : 4.5/5 (933 download)
Download or read book Theorem Proving with Analytic Tableaux and Related Methods written by Peter Baumgartner and published by Springer Science & Business Media. This book was released on 1995-04-26 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the 4th International Workshop on Theorem Proving with Analytic Tableaux and Related Methods, TABLEAU '95, held at Schloß Rheinfels, St. Goar, Germany in May 1995. Originally tableau calculi and their relatives were favored primarily as a pedagogical device because of their advantages at the presentation level. The 23 full revised papers in this book bear witness that these methods have now gained fundamental importance in theorem proving, particularly as competitors for resolution methods. The book is organized in sections on extensions, modal logic, intuitionistic logic, the connection method and model elimination, non-clausal proof procedures, linear logic, higher-order logic, and applications
Author : Laurent Fribourg
Publisher : Springer Science & Business Media
ISBN 13 : 9783540587927
Total Pages : 468 pages
Book Rating : 4.5/5 (879 download)
Download or read book Logic Program Synthesis and Transformation - Meta-Programming in Logic written by Laurent Fribourg and published by Springer Science & Business Media. This book was released on 1994-11-30 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the combined proceedings of the 4th International Workshops on Logic Program Synthesis and Transformation (LOPSTR '94) and on Meta-Programming (META '94), held jointly in Pisa, Italy in June 1994. This book includes thoroughly revised versions of the best papers presented at both workshops. The main topics addressed by the META papers are language extensions in support of meta-logic, semantics of meta-logic, implementation of meta-logic features, performance of meta-logic, and several applicational aspects. The LOPSTR papers are devoted to unfolding/folding, partial deduction, proofs as programs, inductive logic programming, automated program verification, specification and programming methodologies.
Author : John Pollock
Publisher : Routledge
ISBN 13 : 1000242137
Total Pages : 126 pages
Book Rating : 4.0/5 (2 download)
Download or read book Technical Methods In Philosophy written by John Pollock and published by Routledge. This book was released on 2019-09-05 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the technical tools and concepts that are indispensable for advanced work in philosophy. Beginning with the fundamentals of set theory, the author guides the reader through relations, functions and the theory of arithmetic before using these tools to clarify the metatheory of the predicate calculus. There are discussions of recursive definitions, Godel's Theorem, and completeness for the predicate calculus. The text emphasizes the structure of these systems and the metatheory behind them.
Author : Nik Weaver
Publisher : World Scientific
ISBN 13 : 9814566020
Total Pages : 152 pages
Book Rating : 4.8/5 (145 download)
Download or read book Forcing for Mathematicians written by Nik Weaver and published by World Scientific. This book was released on 2014-01-24 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since Paul Cohen's spectacular use of the forcing concept to prove the independence of the continuum hypothesis from the standard axioms of set theory, forcing has been seen by the general mathematical community as a subject of great intrinsic interest but one that is technically so forbidding that it is only accessible to specialists. In the past decade, a series of remarkable solutions to long-standing problems in C*-algebra using set-theoretic methods, many achieved by the author and his collaborators, have generated new interest in this subject. This is the first book aimed at explaining forcing to general mathematicians. It simultaneously makes the subject broadly accessible by explaining it in a clear, simple manner, and surveys advanced applications of set theory to mainstream topics. Contents:Peano ArithmeticZermelo–Fraenkel Set TheoryWell-Ordered SetsOrdinalsCardinalsRelativizationReflectionForcing NotionsGeneric ExtensionsForcing EqualityThe Fundamental TheoremForcing CHForcing ¬ CHFamilies of Entire Functions*Self-Homeomorphisms of βℕ \ ℕ, I*Pure States on B(H)*The Diamond PrincipleSuslin's Problem, I*Naimark's problem*A Stronger DiamondWhitehead's Problem, I*Iterated ForcingMartin's AxiomSuslin's Problem, II*Whitehead's Problem, II*The Open Coloring AxiomSelf-Homeomorphisms of βℕ \ ℕ, II*Automorphisms of the Calkin Algebra, I*Automorphisms of the Calkin Algebra, II*The Multiverse Interpretation Readership: Graduates and researchers in logic and set theory, general mathematical audience. Keywords:Forcing;Set Theory;Consistency;Independence;C*-AlgebraKey Features:A number of features combine to make this thorough and rigorous treatment of forcing surprisingly easy to follow. First, it goes straight into the core material on forcing, avoiding Godel constructibility altogether; second, key definitions are simplified, allowing for a less technical development; and third, further care is given to the treatment of metatheoretic issuesEach chapter is limited to four pages, making the presentation very readableA unique feature of the book is its emphasis on applications to problems outside of set theory. Much of this material is currently only available in the primary literatureThe author is a pioneer in the application of set-theoretic methods to C*-algebra, having solved (together with various co-authors) Dixmier's “prime versus primitive” problem, Naimark's problem, Anderson's conjecture about pure states on B(H), and the Calkin algebra outer automorphism problemReviews: “The author presents the basics of the theory of forcing in a clear and stringent way by emphasizing important technical details and simplifying some definitions and arguments. Moreover, he presents the content in a way that should help beginners to understand the central concepts and avoid common mistakes.” Zentralblatt MATH
Author : Theodore Sider
Publisher : Oxford University Press
ISBN 13 : 0192658816
Total Pages : 305 pages
Book Rating : 4.1/5 (926 download)
Download or read book Logic for Philosophy written by Theodore Sider and published by Oxford University Press. This book was released on 2010-01-07 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.
Author : Stewart Shapiro
Publisher : Clarendon Press
ISBN 13 : 0191535672
Total Pages : 240 pages
Book Rating : 4.1/5 (915 download)
Download or read book Vagueness in Context written by Stewart Shapiro and published by Clarendon Press. This book was released on 2006-01-05 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stewart Shapiro's aim in Vagueness in Context is to develop both a philosophical and a formal, model-theoretic account of the meaning, function, and logic of vague terms in an idealized version of a natural language like English. It is a commonplace that the extensions of vague terms vary with such contextual factors as the comparison class and paradigm cases. A person can be tall with respect to male accountants and not tall (even short) with respect to professional basketball players. The main feature of Shapiro's account is that the extensions (and anti-extensions) of vague terms also vary in the course of a conversation, even after the external contextual features, such as the comparison class, are fixed. A central thesis is that in some cases, a competent speaker of the language can go either way in the borderline area of a vague predicate without sinning against the meaning of the words and the non-linguistic facts. Shapiro calls this open texture, borrowing the term from Friedrich Waismann. The formal model theory has a similar structure to the supervaluationist approach, employing the notion of a sharpening of a base interpretation. In line with the philosophical account, however, the notion of super-truth does not play a central role in the development of validity. The ultimate goal of the technical aspects of the work is to delimit a plausible notion of logical consequence, and to explore what happens with the sorites paradox. Later chapters deal with what passes for higher-order vagueness - vagueness in the notions of 'determinacy' and 'borderline' - and with vague singular terms, or objects. In each case, the philosophical picture is developed by extending and modifying the original account. This is followed with modifications to the model theory and the central meta-theorems. As Shapiro sees it, vagueness is a linguistic phenomenon, due to the kinds of languages that humans speak. But vagueness is also due to the world we find ourselves in, as we try to communicate features of it to each other. Vagueness is also due to the kinds of beings we are. There is no need to blame the phenomenon on any one of those aspects.
Author : Howard Kahane
Publisher : Hackett Publishing
ISBN 13 : 1624669360
Total Pages : 467 pages
Book Rating : 4.6/5 (246 download)
Download or read book Logic and Philosophy written by Howard Kahane and published by Hackett Publishing. This book was released on 2020-12-18 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to formal logic, Logic and Philosophy: A Modern Introduction is a rigorous yet accessible text, appropriate for students encountering the subject for the first time. Abundant, carefully crafted exercise sets accompanied by a clear, engaging exposition build to an exploration of sentential logic, first-order predicate logic, the theory of descriptions, identity, relations, set theory, modal logic, and Aristotelian logic. And as its title suggests, Logic and Philosophy is devoted not only to logic but also to the philosophical debates that led to the development of the field. Much new material has been added for the 13th edition. An introduction to set theory and its relationship to logic and mathematics, including philosophical issues, is now part of Chapter 13. Chapter 15 is an introduction to modal logic and Kripke semantics, concluding with a discussion of philosophical problems with any logical accommodation of modalities. Instructors who do not wish to present proof methods will find chapters on truth trees for both sentential and first-order logic, and a presentation of trees for modal logic. Special features of this text include presentations of the history of logic, alternatives to traditional methods of conditional and indirect proof, and a discussion of semantic problems with universal and existential instantiations. Throughout, the authors are sensitive to philosophical issues that arise from the relationship between ordinary language, symbolic logic, and justifications for the syntax and semantics of the various symbolic languages. Discussions range from the justification of the truth table for the sentential rendering of if . . . then statements to semantic and syntactic paradoxes, including some troubling paradoxes that arise in ordinary language (e.g., the so-called hangman or surprise quiz paradox). Logic and Philosophy includes ample material for a one-semester or two-semester course and provides a thorough preparation for more advanced logic courses.
Author : Hans Halvorson
Publisher : Cambridge University Press
ISBN 13 : 1107110998
Total Pages : 305 pages
Book Rating : 4.1/5 (71 download)
Download or read book The Logic in Philosophy of Science written by Hans Halvorson and published by Cambridge University Press. This book was released on 2019-07-11 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reconsiders the role of formal logic in the analytic approach to philosophy, using cutting-edge mathematical techniques to elucidate twentieth-century debates.
Author : Howard DeLong
Publisher : Courier Corporation
ISBN 13 : 0486139158
Total Pages : 322 pages
Book Rating : 4.4/5 (861 download)
Download or read book A Profile of Mathematical Logic written by Howard DeLong and published by Courier Corporation. This book was released on 2012-09-26 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to mathematical logic explores philosophical issues and Gödel's Theorem. Its widespread influence extends to the author of Gödel, Escher, Bach, whose Pulitzer Prize–winning book was inspired by this work.
