# Language, Proof and Logic

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## Language, Proof, and Logic

Author | : Dave Barker-Plummer,Jon Barwise,John Etchemendy |

Publsiher | : Stanford Univ Center for the Study |

Total Pages | : 606 |

Release | : 2011 |

ISBN 10 | : 9781575866321 |

ISBN 13 | : 1575866323 |

Language | : EN, FR, DE, ES & NL |

**Language, Proof, and Logic Book Review:**

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

## Language Proof and Logic

Author | : Jon Barwise |

Publsiher | : |

Total Pages | : 587 |

Release | : 2002 |

ISBN 10 | : |

ISBN 13 | : OCLC:1025095069 |

Language | : EN, FR, DE, ES & NL |

**Language Proof and Logic Book Review:**

Covers first-order language in method appropriate for first and second courses in logic. CD-ROM consists of a new book, 3 programs,and an Internet-based grading service.

## Tarski's World

Author | : Dave Barker-Plummer,Jon Barwise,John Etchemendy |

Publsiher | : Stanford Univ Center for the Study |

Total Pages | : 126 |

Release | : 2008 |

ISBN 10 | : 9781575864846 |

ISBN 13 | : 1575864843 |

Language | : EN, FR, DE, ES & NL |

**Tarski's World Book Review:**

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

## Language, Proof and Logic

Author | : Daniel Jordan |

Publsiher | : Createspace Independent Publishing Platform |

Total Pages | : 416 |

Release | : 2014-08-05 |

ISBN 10 | : 9781724994028 |

ISBN 13 | : 1724994026 |

Language | : EN, FR, DE, ES & NL |

**Language, Proof and Logic Book Review:**

The textbook/software package covers first-order language in a method appropriate for first and second courses in logic. An on-line grading services instantly grades solutions to hundred of computer exercises. It is designed to be used by philosophy instructors teaching a logic course to undergraduates in philosophy, computer science, mathematics, and linguistics. Introductory material is presented in a systematic and accessible fashion. Advanced chapters include proofs of soundness and completeness for propositional and predicate logic, as well as an accessible sketch of Godel's first incompleteness theorem. The book is appropriate for a wide range of courses, from first logic courses for undergraduates (philosophy, mathematics, and computer science) to a first graduate logic course.

## Language Proof and Logic

Author | : Gerard Allwein |

Publsiher | : |

Total Pages | : 329 |

Release | : 1999 |

ISBN 10 | : |

ISBN 13 | : OCLC:313626614 |

Language | : EN, FR, DE, ES & NL |

**Language Proof and Logic Book Review:**

## Symbolic Logic

Author | : David W. Agler |

Publsiher | : Rowman & Littlefield |

Total Pages | : 375 |

Release | : 2012-12-13 |

ISBN 10 | : 1442217421 |

ISBN 13 | : 9781442217423 |

Language | : EN, FR, DE, ES & NL |

**Symbolic Logic Book Review:**

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.

## Language, Truth and Logic

Author | : Alfred Jules Ayer |

Publsiher | : Courier Corporation |

Total Pages | : 160 |

Release | : 2012-04-18 |

ISBN 10 | : 0486113094 |

ISBN 13 | : 9780486113098 |

Language | : EN, FR, DE, ES & NL |

**Language, Truth and Logic Book Review:**

"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.

## Basic Proof Theory

Author | : A. S. Troelstra,H. Schwichtenberg |

Publsiher | : Cambridge University Press |

Total Pages | : 417 |

Release | : 2000-07-27 |

ISBN 10 | : 9780521779111 |

ISBN 13 | : 0521779111 |

Language | : EN, FR, DE, ES & NL |

**Basic Proof Theory Book Review:**

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

## Proofs and Refutations

Author | : Imre Lakatos,Lakatos Imre |

Publsiher | : Cambridge University Press |

Total Pages | : 174 |

Release | : 1976 |

ISBN 10 | : 9780521290388 |

ISBN 13 | : 0521290384 |

Language | : EN, FR, DE, ES & NL |

**Proofs and Refutations Book Review:**

Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

## A Concise Introduction to Logic

Author | : Patrick Hurley |

Publsiher | : Cengage Learning |

Total Pages | : 720 |

Release | : 2008-12-23 |

ISBN 10 | : 9780495800187 |

ISBN 13 | : 049580018X |

Language | : EN, FR, DE, ES & NL |

**A Concise Introduction to Logic Book Review:**

Tens of thousands of students have learned to be more discerning at constructing and evaluating arguments with the help of Patrick J. Hurley. Hurley’s lucid, friendly, yet thorough presentation has made A CONCISE INTRODUCTION TO LOGIC the most widely used logic text in North America. In addition, the book’s accompanying technological resources, such as CengageNOW and Learning Logic, include interactive exercises as well as video and audio clips to reinforce what you read in the book and hear in class. In short, you’ll have all the assistance you need to become a more logical thinker and communicator. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

## Handbook of Logic and Language

Author | : J. F. A. K. van Benthem,Alice G. B. ter Meulen |

Publsiher | : Elsevier |

Total Pages | : 1247 |

Release | : 1997 |

ISBN 10 | : 044481714X |

ISBN 13 | : 9780444817143 |

Language | : EN, FR, DE, ES & NL |

**Handbook of Logic and Language Book Review:**

This Handbook documents the main trends in current research between logic and language, including its broader influence in computer science, linguistic theory and cognitive science. The history of the combined study of Logic and Linguistics goes back a long way, at least to the work of the scholastic philosophers in the Middle Ages. At the beginning of this century, the subject was revitalized through the pioneering efforts of Gottlob Frege, Bertrand Russell, and Polish philosophical logicians such as Kazimierz Ajdukiewicz. Around 1970, the landmark achievements of Richard Montague established a junction between state-of-the-art mathematical logic and generative linguistic theory. Over the subsequent decades, this enterprise of Montague Grammar has flourished and diversified into a number of research programs with empirical and theoretical substance. This appears to be the first Handbook to bring logic-language interface to the fore. Both aspects of the interaction between logic and language are demonstrated in the book i.e. firstly, how logical systems are designed and modified in response to linguistic needs and secondly, how mathematical theory arises in this process and how it affects subsequent linguistic theory. The Handbook presents concise, impartial accounts of the topics covered. Where possible, an author and a commentator have cooperated to ensure the proper breadth and technical content of the papers. The Handbook is self-contained, and individual articles are of the highest quality.

## Proofs and Algorithms

Author | : Gilles Dowek |

Publsiher | : Springer Science & Business Media |

Total Pages | : 156 |

Release | : 2011-01-11 |

ISBN 10 | : 9780857291219 |

ISBN 13 | : 0857291211 |

Language | : EN, FR, DE, ES & NL |

**Proofs and Algorithms Book Review:**

Logic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation. Proofs and Algorithms: Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a proof, a computable function, a model and a set. It presents a series of results, both positive and negative, - Church's undecidability theorem, Gödel’s incompleteness theorem, the theorem asserting the semi-decidability of provability - that have profoundly changed our vision of reasoning, computation, and finally truth itself. Designed for undergraduate students, this book presents all that philosophers, mathematicians and computer scientists should know about logic.

## Book of Proof

Author | : Richard H. Hammack |

Publsiher | : |

Total Pages | : 314 |

Release | : 2016-01-01 |

ISBN 10 | : 9780989472111 |

ISBN 13 | : 0989472116 |

Language | : EN, FR, DE, ES & NL |

**Book of Proof Book Review:**

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.

## Proof and Disproof in Formal Logic

Author | : Richard Bornat |

Publsiher | : Oxford University Press, USA |

Total Pages | : 243 |

Release | : 2005 |

ISBN 10 | : 9780198530268 |

ISBN 13 | : 0198530269 |

Language | : EN, FR, DE, ES & NL |

**Proof and Disproof in Formal Logic Book Review:**

Aimed at undergraduates and graduates in computer science, logic, mathematics, and philosophy, this text is a lively and entertaining introduction to formal logic and provides an excellent insight into how a simple logic works.

## Principia Mathematica to *56

Author | : Alfred North Whitehead,Bertrand Russell |

Publsiher | : Cambridge University Press |

Total Pages | : 410 |

Release | : 1997-09-11 |

ISBN 10 | : 0521626064 |

ISBN 13 | : 9780521626064 |

Language | : EN, FR, DE, ES & NL |

**Principia Mathematica to *56 Book Review:**

This abridged text of the most famous work ever written on the foundations of mathematics contains material that is most relevant to an introductory study of logic and the philosophy of mathematics.

## An Introduction to Mathematical Logic and Type Theory

Author | : Peter B. Andrews |

Publsiher | : Springer Science & Business Media |

Total Pages | : 390 |

Release | : 2013-04-17 |

ISBN 10 | : 9401599343 |

ISBN 13 | : 9789401599344 |

Language | : EN, FR, DE, ES & NL |

**An Introduction to Mathematical Logic and Type Theory Book Review:**

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.

## Proof, Logic and Formalization

Author | : Michael Detlefsen |

Publsiher | : Routledge |

Total Pages | : 256 |

Release | : 2005-07-08 |

ISBN 10 | : 1134975279 |

ISBN 13 | : 9781134975273 |

Language | : EN, FR, DE, ES & NL |

**Proof, Logic and Formalization Book Review:**

The mathematical proof is the most important form of justification in mathematics. It is not, however, the only kind of justification for mathematical propositions. The existence of other forms, some of very significant strength, places a question mark over the prominence given to proof within mathematics. This collection of essays, by leading figures working within the philosophy of mathematics, is a response to the challenge of understanding the nature and role of the proof.

## Proof Theory of Modal Logic

Author | : Heinrich Wansing |

Publsiher | : Springer Science & Business Media |

Total Pages | : 318 |

Release | : 2013-06-29 |

ISBN 10 | : 9401727988 |

ISBN 13 | : 9789401727983 |

Language | : EN, FR, DE, ES & NL |

**Proof Theory of Modal Logic Book Review:**

Proof Theory of Modal Logic is devoted to a thorough study of proof systems for modal logics, that is, logics of necessity, possibility, knowledge, belief, time, computations etc. It contains many new technical results and presentations of novel proof procedures. The volume is of immense importance for the interdisciplinary fields of logic, knowledge representation, and automated deduction.

## Type Theory and Formal Proof

Author | : Rob Nederpelt,Herman Geuvers |

Publsiher | : Cambridge University Press |

Total Pages | : 490 |

Release | : 2014-11-06 |

ISBN 10 | : 110703650X |

ISBN 13 | : 9781107036505 |

Language | : EN, FR, DE, ES & NL |

**Type Theory and Formal Proof Book Review:**

A gentle introduction for graduate students and researchers in the art of formalizing mathematics on the basis of type theory.

## Proof and Falsity

Author | : Nils Kürbis |

Publsiher | : Cambridge University Press |

Total Pages | : 320 |

Release | : 2019-04-30 |

ISBN 10 | : 1108481302 |

ISBN 13 | : 9781108481304 |

Language | : EN, FR, DE, ES & NL |

**Proof and Falsity Book Review:**

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.