Logic From Russell To Church

Author : Dov M. Gabbay,John Woods
Publisher : Elsevier
Page : 1068 pages
File Size : 55,5 Mb
Release : 2009-06-16
Category : Mathematics
ISBN : 9780080885476

Get Book

Logic from Russell to Church by Dov M. Gabbay,John Woods Pdf

This volume is number five in the 11-volume Handbook of the History of Logic. It covers the first 50 years of the development of mathematical logic in the 20th century, and concentrates on the achievements of the great names of the period--Russell, Post, Gödel, Tarski, Church, and the like. This was the period in which mathematical logic gave mature expression to its four main parts: set theory, model theory, proof theory and recursion theory. Collectively, this work ranks as one of the greatest achievements of our intellectual history. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, and artificial intelligence, for whom the historical background of his or her work is a salient consideration. • The entire range of modal logic is covered • Serves as a singular contribution to the intellectual history of the 20th century • Contains the latest scholarly discoveries and interpretative insights

Author : Alfred North Whitehead,Bertrand Russell
Publisher : Cambridge University Press
Page : 524 pages
File Size : 46,8 Mb
Release : 1927
Category : Mathematics
ISBN : 052106791X

Get Book

Principia Mathematica by Alfred North Whitehead,Bertrand Russell Pdf

The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.

Author : Alonzo Church
Publisher : Princeton University Press
Page : 396 pages
File Size : 48,6 Mb
Release : 1996
Category : Mathematics
ISBN : 0691029067

Get Book

Introduction to Mathematical Logic by Alonzo Church Pdf

A classic account of mathematical logic from a pioneering giant in the field Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and the theories of algorithms and computability laid the theoretical foundations of computer science. His first Princeton book, The Calculi of Lambda-Conversion (1941), established an invaluable tool that computer scientists still use today. Even beyond the accomplishment of that book, however, his second Princeton book, Introduction to Mathematical Logic, defined its subject for a generation. Originally published in Princeton's Annals of Mathematics Studies series, this book was revised in 1956 and reprinted a third time, in 1996, in the Princeton Landmarks in Mathematics series. Although new results in mathematical logic have been developed and other textbooks have been published, it remains, sixty years later, a basic source for understanding formal logic. Church was one of the principal founders of the Association for Symbolic Logic; he founded the Journal of Symbolic Logic in 1936 and remained an editor until 1979. At his death in 1995, Church was still regarded as the greatest mathematical logician in the world.

Author : Alonzo Church
Publisher : Unknown
Page : 248 pages
File Size : 53,9 Mb
Release : 1936
Category : Logic, Symbolic and mathematical
ISBN : STANFORD:36105031176410

Get Book

Mathematical Logic by Alonzo Church Pdf

Author : Dov M. Gabbay,Francis Jeffry Pelletier,John Woods
Publisher : Newnes
Page : 706 pages
File Size : 54,6 Mb
Release : 2012-12-31
Category : Mathematics
ISBN : 9780080931708

Get Book

Logic: A History of its Central Concepts by Dov M. Gabbay,Francis Jeffry Pelletier,John Woods Pdf

The Handbook of the History of Logic is a multi-volume research instrument that brings to the development of logic the best in modern techniques of historical and interpretative scholarship. It is the first work in English in which the history of logic is presented so extensively. The volumes are numerous and large. Authors have been given considerable latitude to produce chapters of a length, and a level of detail, that would lay fair claim on the ambitions of the project to be a definitive research work. Authors have been carefully selected with this aim in mind. They and the Editors join in the conviction that a knowledge of the history of logic is nothing but beneficial to the subject's present-day research programmes. One of the attractions of the Handbook's several volumes is the emphasis they give to the enduring relevance of developments in logic throughout the ages, including some of the earliest manifestations of the subject. Covers in depth the notion of logical consequence Discusses the central concept in logic of modality Includes the use of diagrams in logical reasoning

Author : Anonim
Publisher : Universal-Publishers
Page : 179 pages
File Size : 52,5 Mb
Release : 2024-06-25
Category : Electronic
ISBN : 9781612339511

Get Book

Proof in Alonzo Church's and Alan Turing's Mathematical Logic: Undecidability of First Order Logic by Anonim Pdf

Author : Alonzo Church
Publisher : Unknown
Page : 142 pages
File Size : 48,6 Mb
Release : 1965
Category : Logic, Symbolic and mathematical
ISBN : STANFORD:36105002061500

Get Book

Introduction to Mathematical Logic by Alonzo Church Pdf

Author : Kevin C. Klement
Publisher : Routledge
Page : 275 pages
File Size : 45,9 Mb
Release : 2017-09-25
Category : Philosophy
ISBN : 9781136710926

Get Book

Frege and the Logic of Sense and Reference by Kevin C. Klement Pdf

First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

Author : Dov M. Gabbay,John Woods
Publisher : Elsevier
Page : 750 pages
File Size : 47,7 Mb
Release : 2008-03-10
Category : Mathematics
ISBN : 0080557015

Get Book

British Logic in the Nineteenth Century by Dov M. Gabbay,John Woods Pdf

The present volume of the Handbook of the History of Logic is designed to establish 19th century Britain as a substantial force in logic, developing new ideas, some of which would be overtaken by, and other that would anticipate, the century's later capitulation to the mathematization of logic. British Logic in the Nineteenth Century is indispensable reading and a definitive research resource for anyone with an interest in the history of logic. - Detailed and comprehensive chapters covering the entire range of modal logic - Contains the latest scholarly discoveries and interpretative insights that answer many questions in the field of logic

Author : Borut Robič
Publisher : Springer Nature
Page : 422 pages
File Size : 42,5 Mb
Release : 2020-11-13
Category : Computers
ISBN : 9783662624210

Get Book

The Foundations of Computability Theory by Borut Robič Pdf

This book offers an original and informative view of the development of fundamental concepts of computability theory. The treatment is put into historical context, emphasizing the motivation for ideas as well as their logical and formal development. In Part I the author introduces computability theory, with chapters on the foundational crisis of mathematics in the early twentieth century, and formalism. In Part II he explains classical computability theory, with chapters on the quest for formalization, the Turing Machine, and early successes such as defining incomputable problems, c.e. (computably enumerable) sets, and developing methods for proving incomputability. In Part III he explains relative computability, with chapters on computation with external help, degrees of unsolvability, the Turing hierarchy of unsolvability, the class of degrees of unsolvability, c.e. degrees and the priority method, and the arithmetical hierarchy. Finally, in the new Part IV the author revisits the computability (Church-Turing) thesis in greater detail. He offers a systematic and detailed account of its origins, evolution, and meaning, he describes more powerful, modern versions of the thesis, and he discusses recent speculative proposals for new computing paradigms such as hypercomputing. This is a gentle introduction from the origins of computability theory up to current research, and it will be of value as a textbook and guide for advanced undergraduate and graduate students and researchers in the domains of computability theory and theoretical computer science. This new edition is completely revised, with almost one hundred pages of new material. In particular the author applied more up-to-date, more consistent terminology, and he addressed some notational redundancies and minor errors. He developed a glossary relating to computability theory, expanded the bibliographic references with new entries, and added the new part described above and other new sections.

Author : Tyler Burge,Herbert Enderton
Publisher : National Geographic Books
Page : 0 pages
File Size : 53,9 Mb
Release : 2019-04-23
Category : Philosophy
ISBN : 9780262025645

Get Book

The Collected Works of Alonzo Church by Tyler Burge,Herbert Enderton Pdf

Writings, including articles, letters, and unpublished work, by one of the twentieth century's most influential figures in mathematical logic and philosophy. Alonzo Church's long and distinguished career in mathematics and philosophy can be traced through his influential and wide-ranging writings. Church published his first article as an undergraduate at Princeton in 1924 and his last shortly before his death in 1995. This volume collects all of his published articles, many of his reviews, his monograph The Calculi of Lambda-Conversion, the introduction to his important and authoritative textbook Introduction to Mathematical Logic, a substantial amount of previously unpublished work (including chapters for the unfinished second volume of Introduction to Mathematical Logic), and a selection of letters to such correspondents as Rudolf Carnap and W. V. O. Quine. With the exception of the reviews, letters, and unpublished work, these appear in chronological order, for the most part in the format in which they were originally published. Church's work in calculability, especially the monograph on the lambda-calculus, helped lay the foundation for theoretical computer science; it attracted the interest of Alan Turing, who later completed his PhD under Church's supervision. (Church coined the term “Turing machine” in a review.) Church's influential textbook, still in print, defined the field of mathematical logic for a generation of logicians. In addition, his close connection with the Association for Symbolic Logic and his many years as review editor for the Journal of Symbolic Logic are documented in the reviews included here.

Author : David Bostock
Publisher : Oxford University Press
Page : 320 pages
File Size : 42,5 Mb
Release : 2012-04-19
Category : Philosophy
ISBN : 9780191631221

Get Book

Russell's Logical Atomism by David Bostock Pdf

David Bostock presents a critical appraisal of Bertrand Russell's philosophy from 1900 to 1924—a period that is considered to be the most important in his career. Russell developed his theory of logic from 1900 to 1910, and over those years wrote the famous work Principia Mathematica with A. N. Whitehead. Bostock explores Russell's development of 'logical atomism', which applies this logic to problems in the theory of knowledge and in metaphysics, and was central to his philosophical work from 1910 to 1924. This book is the first to focus on this important period of Russell's development, examining the three key areas of logic and mathematics, knowledge, and metaphysics, and demonstrating the enduring value of his work in these areas.

Author : Alonzo Church
Publisher : Cambridge University Press
Page : 128 pages
File Size : 49,8 Mb
Release : 2017-10-01
Category : Mathematics
ISBN : 0521867541

Get Book

Alonzo Church's Logic of Sense and Denotation by Alonzo Church Pdf

Author : Concha Martínez,José L. Falguera,José M. Sagüillo
Publisher : Univ Santiago de Compostela
Page : 289 pages
File Size : 53,8 Mb
Release : 2007
Category : Analysis (Philosophy)
ISBN : 9788497508117

Get Book

Current Topics in Logic and Analytic Philosophy by Concha Martínez,José L. Falguera,José M. Sagüillo Pdf

Author : Ivo Düntsch,Edwin Mares
Publisher : Springer Nature
Page : 591 pages
File Size : 53,8 Mb
Release : 2021-09-24
Category : Philosophy
ISBN : 9783030714307

Get Book

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs by Ivo Düntsch,Edwin Mares Pdf

This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart’s work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell’s Collected Papers.