## Language Proof and Logic

**Release:**2011**Publisher:**Stanford Univ Center for the Study**Price:**FREE**File:**PDF, 606 page**ISBN:**1575866323

Rev. ed. of: Language, proof, and logic / Jon Barwise & John Etchemendy.

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**Release:**2011**Publisher:**Stanford Univ Center for the Study**Price:**FREE**File:**PDF, 606 page**ISBN:**1575866323

Rev. ed. of: Language, proof, and logic / Jon Barwise & John Etchemendy.

**Release:**2008**Publisher:**Stanford Univ Center for the Study**Price:**FREE**File:**PDF, 126 page**ISBN:**1575864843

Accompanying CD-ROM contains ... "software for both Windows and Macintosh operating systems."--Page 4 of cover.

**Release:**2015**Publisher:****Price:**FREE**File:**PDF, page**ISBN:**OCLC:1091211146

**Release:**2012-04-18**Publisher:**Courier Corporation**Price:**FREE**File:**PDF, 160 page**ISBN:**9780486113098

"A delightful book … I should like to have written it myself." — Bertrand Russell First published in 1936, this first full-length presentation in English of the Logical Positivism of Carnap, Neurath, and others has gone through many printings to become a classic of thought and communication. It not only surveys one of the most important areas of modern thought; it also shows the confusion that arises from imperfect understanding of the uses of language. A first-rate antidote for fuzzy thought and muddled writing, this remarkable book has helped philosophers, writers, speakers, teachers, students, and general readers alike. Mr. Ayers sets up specific tests by which you can easily evaluate statements of ideas. You will also learn how to distinguish ideas that cannot be verified by experience — those expressing religious, moral, or aesthetic experience, those expounding theological or metaphysical doctrine, and those dealing with a priori truth. The basic thesis of this work is that philosophy should not squander its energies upon the unknowable, but should perform its proper function in criticism and analysis.

**Release:**2019-04-30**Publisher:**Cambridge University Press**Price:**FREE**File:**PDF, 320 page**ISBN:**9781108481304

This book argues that the meaning of negation, perhaps the most important logical constant, cannot be defined within the framework of the most comprehensive theory of proof-theoretic semantics, as formulated in the influential work of Michael Dummett and Dag Prawitz. Nils Krbis examines three approaches that have attempted to solve the problem - defining negation in terms of metaphysical incompatibility; treating negation as an undefinable primitive; and defining negation in terms of a speech act of denial - and concludes that they cannot adequately do so. He argues that whereas proof-theoretic semantics usually only appeals to a notion of truth, it also needs to appeal to a notion of falsity, and proposes a system of natural deduction in which both are incorporated. Offering new perspectives on negation, denial and falsity, his book will be important for readers working on logic, metaphysics and the philosophy of language.

**Release:**2012-12-13**Publisher:**Rowman & Littlefield**Price:**FREE**File:**PDF, 375 page**ISBN:**9781442217423

Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs.

**Release:**2016-01-01**Publisher:****Price:**FREE**File:**PDF, 314 page**ISBN:**0989472116

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

**Release:**2000-07-27**Publisher:**Cambridge University Press**Price:**FREE**File:**PDF, 417 page**ISBN:**0521779111

Introduction to proof theory and its applications in mathematical logic, theoretical computer science and artificial intelligence.

**Release:**1999**Publisher:****Price:**FREE**File:**PDF, page**ISBN:**OCLC:313626614

**Release:**2013-04-17**Publisher:**Springer Science & Business Media**Price:**FREE**File:**PDF, 390 page**ISBN:**9789401599344

In case you are considering to adopt this book for courses with over 50 students, please contact ties.nijssen@springer.com 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.