Language, Proof, and Logic

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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.