Logic From Russell To Church
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Logic From Russell To Church
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Author : Dov M. Gabbay
language : en
Publisher: Elsevier
Release Date : 2009-06-16
Logic From Russell To Church written by Dov M. Gabbay and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-16 with Mathematics categories.
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
Handbook Of The History Of Logic Logic From Russell To Church
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Author : Dov M. Gabbay
language : en
Publisher:
Release Date : 2004
Handbook Of The History Of Logic Logic From Russell To Church written by Dov M. Gabbay and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Logic categories.
Logic A History Of Its Central Concepts
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Author : Dov M. Gabbay
language : en
Publisher: Newnes
Release Date : 2012-12-31
Logic A History Of Its Central Concepts written by Dov M. Gabbay and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-31 with Mathematics categories.
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
Proof In Alonzo Church S And Alan Turing S Mathematical Logic Undecidability Of First Order Logic
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Author :
language : en
Publisher: Universal-Publishers
Release Date :
Proof In Alonzo Church S And Alan Turing S Mathematical Logic Undecidability Of First Order Logic written by and has been published by Universal-Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The Foundations Of Computability Theory
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Author : Borut Robič
language : en
Publisher: Springer Nature
Release Date : 2020-11-13
The Foundations Of Computability Theory written by Borut Robič and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-13 with Computers categories.
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.
Russell S Logical Atomism
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Author : David Bostock
language : en
Publisher: Oxford University Press
Release Date : 2012-04-19
Russell S Logical Atomism written by David Bostock and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-19 with Mathematics categories.
David Bostock presents a detailed account and critical appraisal of the development of Bertrand Russell's philosophy from 1900 to 1924. He explores Russell's logical atomism, which applies logic to problems in the theory of knowledge and metaphysics and was central to Russell's work over this period.
British Logic In The Nineteenth Century
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Author : Dov M. Gabbay
language : en
Publisher: Elsevier
Release Date : 2008-03-10
British Logic In The Nineteenth Century written by Dov M. Gabbay and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-10 with Mathematics categories.
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
Frege And The Logic Of Sense And Reference
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Author : Kevin C. Klement
language : en
Publisher: Routledge
Release Date : 2017-09-25
Frege And The Logic Of Sense And Reference written by Kevin C. Klement and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-25 with Philosophy categories.
First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.
The Cambridge Companion To Bertrand Russell
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Author : Nicholas Griffin
language : en
Publisher: Cambridge University Press
Release Date : 2003-06-23
The Cambridge Companion To Bertrand Russell written by Nicholas Griffin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-23 with History categories.
Mathematics in and behind Russell's logicism, and its reception / I. Grattan-Guinness -- Russell's philosophical background / Nicholas Griffin -- Russell and Moore, 1898-1905 / Richard L. Cartwright -- Russell and Frege / Michael Beaney -- Bertrand Russell's logicism / Martin Godwyn and Andrew D. Irvine -- The theory of descriptions / Peter Hylton -- Russell's substitutional theory / Gregory Landini -- The theory of types / Alasdair Urquhart -- Russell's method of analysis / Paul Hager -- Russell's neutral monism / R.E. Tully -- The metaphysics of logical atomism / Bernard Linksy -- Russell's structuralism and the absolute description of the world / William Demopoulos -- From knowledge by acquaintance to knowledge by causation / Thomas Baldwin -- Russell, experience, and the roots of science / A.C. Grayling -- Bertrand Russell: moral philosopher or unphilosophical moralist? / Charles R. Pidgen.
Alasdair Urquhart On Nonclassical And Algebraic Logic And Complexity Of Proofs
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Author : Ivo Düntsch
language : en
Publisher: Springer Nature
Release Date : 2021-09-24
Alasdair Urquhart On Nonclassical And Algebraic Logic And Complexity Of Proofs written by Ivo Düntsch and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-24 with Philosophy categories.
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.