Logic From Russell To Church


Logic From Russell To Church
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Logic From Russell To Church


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


Handbook Of The History Of Logic
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Author : Dov M. Gabbay
language : en
Publisher:
Release Date : 2009

Handbook Of The History Of Logic 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 2009 with categories.




Introduction To Mathematical Logic


Introduction To Mathematical Logic
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Author : Alonzo Church
language : en
Publisher: Princeton University Press
Release Date : 1996

Introduction To Mathematical Logic written by Alonzo Church and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.


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.



Mysticism And Logic


Mysticism And Logic
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Author : Bertrand Russell
language : en
Publisher: Courier Corporation
Release Date : 2004-01-01

Mysticism And Logic written by Bertrand Russell and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Philosophy categories.


10 brilliant essays by a Nobel Prize-winning philosopher challenge romantic mysticism and promote a scientific view of society and nature. Russell explains his theory of logical atomism in these witty, cogent writings, which include popular treatments of religious and educational issues as well as more technical examinations of problems of logic.



Mathematical Logic


Mathematical Logic
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Author : Alonzo Church
language : en
Publisher:
Release Date : 1936

Mathematical Logic written by Alonzo Church and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1936 with Logic, Symbolic and mathematical categories.




Logic And Knowledge


Logic And Knowledge
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Author : Bertrand Russell
language : en
Publisher: Spokesman Books
Release Date : 2007

Logic And Knowledge written by Bertrand Russell and has been published by Spokesman Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Knowledge, Theory of categories.


Many of Bertrand Russell's most important essays in logic and the theory of knowledge were not easily available until Professor Marsh collected them together in 1956. This work is now the best source of Russell's views in these areas and is firmly established as a philosophical classic in its own right.



The Proceedings Of The Bertrand Russell Memorial Logic Conference Uldum Denmark 1971


The Proceedings Of The Bertrand Russell Memorial Logic Conference Uldum Denmark 1971
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Author : John Lane Bell
language : en
Publisher: Leeds (c/o Dr. A. Slomson, School of Mathematics, The University, Leeds LS2 9JT) : Bertrand Russell Memorial Logic Conference
Release Date : 1973

The Proceedings Of The Bertrand Russell Memorial Logic Conference Uldum Denmark 1971 written by John Lane Bell and has been published by Leeds (c/o Dr. A. Slomson, School of Mathematics, The University, Leeds LS2 9JT) : Bertrand Russell Memorial Logic Conference this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.




The Elements Of Mathematical Logic


The Elements Of Mathematical Logic
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Author : Paul C. Rosenbloom
language : en
Publisher: Courier Dover Publications
Release Date : 2005

The Elements Of Mathematical Logic written by Paul C. Rosenbloom and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Logic, Symbolic and mathematical categories.


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.



Logical And Philosophical Papers 1909 13


Logical And Philosophical Papers 1909 13
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Author : Bertrand Russell
language : en
Publisher: Psychology Press
Release Date : 1992

Logical And Philosophical Papers 1909 13 written by Bertrand Russell and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Philosophy categories.


The years covered by this volume of the Collected Papers of Bertrand Russell were among the most productive, philosophically speaking, of Russell's entire career. In addition to the papers reprinted here, he bought Principia Mathematica to its finished form and wrote The Problems of Philosophy, Theory of Knowledge and Knowledge of the External World. In October 1910 he began teaching at Cambridge, having accepted an appointment as lecturer in logic and the principles of mathematics at Trinity College for a term of five years. A year later Ludwig Wittgenstein began to attend his lectures. Within a few months he was influencing Russell's philosophical thinking as much as, or more than, Russell was influencing his.



The Collected Works Of Alonzo Church


The Collected Works Of Alonzo Church
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Author : Tyler Burge
language : en
Publisher: National Geographic Books
Release Date : 2019-04-23

The Collected Works Of Alonzo Church written by Tyler Burge and has been published by National Geographic Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-23 with Philosophy categories.


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.