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Language, Proof, and Logic

Language, Proof, and Logic
  • Author : Dave Barker-Plummer,Jon Barwise,John Etchemendy
  • Publisher : Stanford Univ Center for the Study
  • Release : 24 January 2021
GET THIS BOOKLanguage, Proof, and Logic

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

Tarski's World

Tarski's World
  • Author : Dave Barker-Plummer,Jon Barwise,John Etchemendy
  • Publisher : Stanford Univ Center for the Study
  • Release : 24 January 2021
GET THIS BOOKTarski's World

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

Principia Mathematica to *56

Principia Mathematica to *56
  • Author : Alfred North Whitehead,Bertrand Russell
  • Publisher : Cambridge University Press
  • Release : 11 September 1997
GET THIS BOOKPrincipia Mathematica to *56

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.

Language, Truth and Logic

Language, Truth and Logic
  • Author : Alfred Jules Ayer
  • Publisher : Courier Corporation
  • Release : 18 April 2012
GET THIS BOOKLanguage, Truth and Logic

"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

Basic Proof Theory

Basic Proof Theory
  • Author : A. S. Troelstra,H. Schwichtenberg
  • Publisher : Cambridge University Press
  • Release : 27 July 2000
GET THIS BOOKBasic Proof Theory

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

Book of Proof

Book of Proof
  • Author : Richard H. Hammack
  • Publisher : Unknown
  • Release : 01 January 2016
GET THIS BOOKBook of Proof

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

An Introduction to Formal Logic

An Introduction to Formal Logic
  • Author : Peter Smith
  • Publisher : Cambridge University Press
  • Release : 06 November 2003
GET THIS BOOKAn Introduction to Formal Logic

Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these

Logic

Logic
  • Author : Nicholas J.J. Smith
  • Publisher : Princeton University Press
  • Release : 01 April 2012
GET THIS BOOKLogic

Provides an essential introduction to classical logic.

Proofs from THE BOOK

Proofs from THE BOOK
  • Author : Martin Aigner,Günter M. Ziegler
  • Publisher : Springer Science & Business Media
  • Release : 29 June 2013
GET THIS BOOKProofs from THE BOOK

According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

Handbook of Logic and Language

Handbook of Logic and Language
  • Author : J. F. A. K. van Benthem,Alice G. B. ter Meulen
  • Publisher : Elsevier
  • Release : 24 January 1997
GET THIS BOOKHandbook of Logic and Language

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.

How to Prove It

How to Prove It
  • Author : Daniel J. Velleman
  • Publisher : Cambridge University Press
  • Release : 16 January 2006
GET THIS BOOKHow to Prove It

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as

Proof Theory of Modal Logic

Proof Theory of Modal Logic
  • Author : Heinrich Wansing
  • Publisher : Springer Science & Business Media
  • Release : 31 October 1996
GET THIS BOOKProof Theory of Modal Logic

This volume deals with formal, mechanizable reasoning in modal logics, that is, logics of necessity, possibility, belief, time computations etc. It is therefore of immense interest for various interrelated disciplines such as philosophy, AI, computer science, logic, cognitive science and linguistics. The book consists of 15 original research papers, divided into three parts. The first part contains papers which give a profound description of powerful proof-theoretic methods as applied to the normal modal logic S4. Part II is concerned with a

An Introduction to Mathematical Logic and Type Theory

An Introduction to Mathematical Logic and Type Theory
  • Author : Peter B. Andrews
  • Publisher : Springer Science & Business Media
  • Release : 17 April 2013
GET THIS BOOKAn Introduction to Mathematical Logic and Type Theory

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

A Course in Mathematical Logic

A Course in Mathematical Logic
  • Author : Yu.I. Manin
  • Publisher : Springer Science & Business Media
  • Release : 29 June 2013
GET THIS BOOKA Course in Mathematical Logic

1. This book is above all addressed to mathematicians. It is intended to be a textbook of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last ten or fifteen years. These include: the independence of the continuum hypothe sis, the Diophantine nature of enumerable sets, the impossibility of finding an algorithmic solution for one or two old problems. All the necessary preliminary material, including predicate logic and the fundamentals of recursive

A Friendly Introduction to Mathematical Logic

A Friendly Introduction to Mathematical Logic
  • Author : Christopher C. Leary,Lars Kristiansen
  • Publisher : Lulu.com
  • Release : 24 January 2021
GET THIS BOOKA Friendly Introduction to Mathematical Logic

At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous