Logic from Russell to Church

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Publisher : Elsevier
ISBN 13 : 0080885470
Total Pages : 1069 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Logic from Russell to Church by : Dov M. Gabbay

Download or read book Logic from Russell to Church written by Dov M. Gabbay and published by Elsevier. This book was released on 2009-06-16 with total page 1069 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Introduction to Mathematical Logic

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Publisher :
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Introduction to Mathematical Logic by : Alonzo Church

Download or read book Introduction to Mathematical Logic written by Alonzo Church and published by . This book was released on 1965 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Russell on Religion

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Publisher : Psychology Press
ISBN 13 : 9780415180924
Total Pages : 274 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Russell on Religion by : Bertrand Russell

Download or read book Russell on Religion written by Bertrand Russell and published by Psychology Press. This book was released on 1999 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bertrand Russell's religious convictions were controversial, and one of his best selling titles is 'Why I am not a Christian'. This is a comprehensive and coherent survey of Russell on religion, with notes for students.

Principia Mathematica

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Publisher :
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.L/5 ( download)

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Book Synopsis Principia Mathematica by : Alfred North Whitehead

Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Mathematical Logic

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Publisher : Princeton University Press
ISBN 13 : 9780691029061
Total Pages : 396 pages
Book Rating : 4.0/5 (29 download)

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Book Synopsis Introduction to Mathematical Logic by : Alonzo Church

Download or read book Introduction to Mathematical Logic written by Alonzo Church and published by Princeton University Press. This book was released on 1996 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Bertrand Russell

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Publisher : Simon and Schuster
ISBN 13 : 0684828022
Total Pages : 728 pages
Book Rating : 4.6/5 (848 download)

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Book Synopsis Bertrand Russell by : Ray Monk

Download or read book Bertrand Russell written by Ray Monk and published by Simon and Schuster. This book was released on 1996 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: Russell's avant-garde philosophy of free love combined with his principled pacificism would make him an icon of the international Left in the 1960s.".

The Elements of Mathematical Logic

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Publisher : Courier Dover Publications
ISBN 13 : 9780486446172
Total Pages : 0 pages
Book Rating : 4.4/5 (461 download)

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Book Synopsis The Elements of Mathematical Logic by : Paul C. Rosenbloom

Download or read book The Elements of Mathematical Logic written by Paul C. Rosenbloom and published by Courier Dover Publications. This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An excellent introduction to mathematical logic, this book provides readers with a sound knowledge of the most important approaches to the subject, stressing the use of logical methods in attacking nontrivial problems. Its chapters cover the logic of classes (including a section on the structure and representation of Boolean algebras, which are applied in the following chapters to the study of deductive systems), the logic of propositions, the logic of propositional functions (summarizing the methods of Russell, Quine, Zermelo, Curry, and Church for the construction of such logics), and the general syntax of language, with a brief introduction that also illustrates applications to so-called undecidability and incompleteness theorems. Other topics include the simple proof of the completeness of the theory of combinations, Church's theorem on the recursive unsolvability of the decision problem for the restricted function calculus, and the demonstrable properties of a formal system as a criterion for its acceptability.

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

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Publisher : Universal-Publishers
ISBN 13 : 1612339514
Total Pages : 179 pages
Book Rating : 4.6/5 (123 download)

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

Download or read book Proof in Alonzo Church's and Alan Turing's Mathematical Logic: Undecidability of First Order Logic written by and published by Universal-Publishers. This book was released on with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Logic

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Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Mathematical Logic by : Alonzo Church

Download or read book Mathematical Logic written by Alonzo Church and published by . This book was released on 1936 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Collected Works of Alonzo Church

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Publisher : National Geographic Books
ISBN 13 : 0262025647
Total Pages : 0 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis The Collected Works of Alonzo Church by : Tyler Burge

Download or read book The Collected Works of Alonzo Church written by Tyler Burge and published by National Geographic Books. This book was released on 2019-04-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Logic: A History of its Central Concepts

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Publisher : Newnes
ISBN 13 : 0080931707
Total Pages : 706 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Logic: A History of its Central Concepts by : Dov M. Gabbay

Download or read book Logic: A History of its Central Concepts written by Dov M. Gabbay and published by Newnes. This book was released on 2012-12-31 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Logic

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Publisher : Crossway
ISBN 13 : 1433532328
Total Pages : 736 pages
Book Rating : 4.4/5 (335 download)

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Book Synopsis Logic by : Vern S. Poythress

Download or read book Logic written by Vern S. Poythress and published by Crossway. This book was released on 2013-02-28 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the well-rounded Christian looking to improve their critical thinking skills, here is an accessible introduction to the study of logic (parts 1 & 2) as well as an in-depth treatment of the discipline (parts 3 & 4) from a professor with 6 academic degrees and over 30 years experience teaching. Questions for further reflection are included at the end of each chapter as well as helpful diagrams and charts that are appropriate for use in high school, home school, college, and graduate-level classrooms. Overall, Vern Poythress has undertaken a radical recasting of the study of logic in this revolutionary work from a Christian worldview.

Frege and the Logic of Sense and Reference

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Publisher : Routledge
ISBN 13 : 1136710922
Total Pages : 275 pages
Book Rating : 4.1/5 (367 download)

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Book Synopsis Frege and the Logic of Sense and Reference by : Kevin C. Klement

Download or read book Frege and the Logic of Sense and Reference written by Kevin C. Klement and published by Routledge. This book was released on 2017-09-25 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

Alonzo Church's Logic of Sense and Denotation

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Publisher : Cambridge University Press
ISBN 13 : 9780521867542
Total Pages : pages
Book Rating : 4.8/5 (675 download)

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Book Synopsis Alonzo Church's Logic of Sense and Denotation by : Alonzo Church

Download or read book Alonzo Church's Logic of Sense and Denotation written by Alonzo Church and published by Cambridge University Press. This book was released on 2017-10-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Foundations of Computability Theory

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Publisher : Springer Nature
ISBN 13 : 3662624214
Total Pages : 422 pages
Book Rating : 4.6/5 (626 download)

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Book Synopsis The Foundations of Computability Theory by : Borut Robič

Download or read book The Foundations of Computability Theory written by Borut Robič and published by Springer Nature. This book was released on 2020-11-13 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

British Logic in the Nineteenth Century

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Publisher : Elsevier
ISBN 13 : 0080557015
Total Pages : 751 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis British Logic in the Nineteenth Century by : Dov M. Gabbay

Download or read book British Logic in the Nineteenth Century written by Dov M. Gabbay and published by Elsevier. This book was released on 2008-03-10 with total page 751 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Russell's Logical Atomism

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Publisher : Oxford University Press
ISBN 13 : 0191631221
Total Pages : 320 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Russell's Logical Atomism by : David Bostock

Download or read book Russell's Logical Atomism written by David Bostock and published by Oxford University Press. This book was released on 2012-04-19 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.