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Metalogic

Metalogic
Author: Geoffrey Hunter
Publisher: Univ of California Press
Total Pages: 306
Release: 1973-06-26
Genre: Mathematics
ISBN: 9780520023567

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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.


An Introduction to Metalogic

An Introduction to Metalogic
Author: Aladdin M. Yaqub
Publisher: Broadview Press
Total Pages: 346
Release: 2014-10-24
Genre: Philosophy
ISBN: 1770483810

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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.


Logic and Metalogic

Logic and Metalogic
Author:
Publisher: PediaPress
Total Pages: 203
Release:
Genre:
ISBN:

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Introduction to Metalogic

Introduction to Metalogic
Author: Imre Ruzsa
Publisher:
Total Pages: 200
Release: 1997
Genre: First-order logic
ISBN:

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An Introduction to Metalogic

An Introduction to Metalogic
Author: Aladdin M. Yaqub
Publisher: Broadview Press
Total Pages: 346
Release: 2014-10-24
Genre: Philosophy
ISBN: 1554811716

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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.


Sets, Logic, Computation

Sets, Logic, Computation
Author: Richard Zach
Publisher:
Total Pages: 418
Release: 2021-07-13
Genre:
ISBN:

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A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org.


Logic for Philosophy

Logic for Philosophy
Author: Theodore Sider
Publisher: Oxford University Press
Total Pages: 305
Release: 2010-01-07
Genre: Philosophy
ISBN: 0192658816

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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.


Introduction to Logic

Introduction to Logic
Author: Harry Gensler
Publisher: Routledge
Total Pages: 445
Release: 2002-09-11
Genre: Philosophy
ISBN: 113458881X

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Introduction to Logic offers one of the most clear, interesting and accessible introductions to what has long been considered one of the most challenging subjects in philosophy. Harry Gensler engages students with the basics of logic through practical examples and important arguments both in the history of philosophy and from contemporary philosophy. Using simple and manageable methods for testing arguments, students are led step-by-step to master the complexities of logic. The companion LogiCola instructional program and various teaching aids (including a teacher's manual) are available from the book's website: www.routledge.com/textbooks/gensler_logic


Provability, Computability and Reflection

Provability, Computability and Reflection
Author: Lev D. Beklemishev
Publisher: Elsevier
Total Pages: 615
Release: 2000-04-01
Genre: Computers
ISBN: 0080955010

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Provability, Computability and Reflection


Metaphysical Foundations

Metaphysical Foundations
Author: Richard Milton Martin
Publisher:
Total Pages: 402
Release: 1988
Genre: Philosophy
ISBN:

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The philosophical papers collected together in this volume cover a variety of topics centering around the three items of the title. Mereology, the theory of part-whole, appears and reappears throughout as a kind of basso ostinato for much that is said. For its full effect, however, mereology must be combined with various items treated in metalogic or logical semiotics, the modern trivium of syntax, semantics, and pragmatics. When pressed for their total philosophic richness, all of these subjects flow over into topics of perennial interest in metaphysics, including even metaphysical theology. It is thought that the treatment here brings these various subjects together in a new light and in an exact way. As a result, they are seen to gain in richness, scope, and depth, and a basis provided for the study of how intimately they "interanimate" each other. Each paper here is a critical and/or constructive adventure of ideas, not necessarily agreeing in all details with every other. Even though they are concerned with a considerable variety of philosophical topics, there is nonetheless a common methodology throughout, namely, the logica utens of first order quantification theory - or its algebraic surrogate - together with the first-order metalogic based on it, which are thought to provide the bedrock of sound philosophical method. This view has been spelled out in considerable detail in the author's previous publications and is further develop here in important ways. "Richard M. Martin's work display a wealth of ideas, proposals, and formal analyses, always on top of the ideal of precision and rigour which were so important to him" Lingua e Stile, 1988 Of interest to: Philosophers, linguists, logicians