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Author: Dov M. Gabbay
Publisher: Elsevier
ISBN: 0080885470
Category : Mathematics
Languages : en
Pages : 1069
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Book Description
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: Dov M. Gabbay
Publisher: Elsevier
ISBN: 0080885470
Category : Mathematics
Languages : en
Pages : 1069
Get Book Here
Book Description
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
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 696
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Book Description
Author: Alonzo Church
Publisher: Princeton University Press
ISBN: 9780691029061
Category : Mathematics
Languages : en
Pages : 396
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Book Description
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:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 140
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Book Description
Author: Ray Monk
Publisher: Simon and Schuster
ISBN: 0684828022
Category : Philosophers
Languages : en
Pages : 728
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Book Description
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.".
Author: F.D. Kamareddine
Publisher: Springer Science & Business Media
ISBN: 1402023359
Category : Mathematics
Languages : en
Pages : 367
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Book Description
This book provides an overview of type theory. The first part of the book is historical, yet at the same time, places historical systems in the modern setting. The second part deals with modern type theory as it developed since the 1940s, and with the role of propositions as types (or proofs as terms. The third part proposes new systems that bring more advantages together.
Author: Dov M. Gabbay
Publisher: Newnes
ISBN: 0080931707
Category : Mathematics
Languages : en
Pages : 706
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Book Description
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: Bertrand Russell
Publisher: Psychology Press
ISBN: 9780415180924
Category : Philosophy
Languages : en
Pages : 274
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Book Description
Russell on Religion presents a comprehensive and accessible selection of Bertrand Russell's writing on religion and related topics from the turn of the century to the end of his life. The influence of religion pervades almost all Bertrand Russell's writings from his mathematical treatises to his early fiction. Russell contends with religion as a philosopher, as a historian, as a social critic and as a private individual. The papers in this volume are arranged chronologically for optimum coherence of the development of Russell's thinking and are divided into five main sections: * Personal statements * Religion and Philosophy * Religion and Science * Religion and Morality * Religion and History. Students at all levels will find this a valuable insight into Russell's thought on religion.
Author: Paul C. Rosenbloom
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 234
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Book Description
"This book is intended for readers who, while mature mathematically, have no knowledge of mathematical logic. We attempt to introduce the reader to the most important approaches to the subject, and, wherever possible within the limitations of space which we have set for ourselves, to give at least a few nontrivial results illustrating each of the important methods for attacking logical problems"--Preface.
Author: David Bostock
Publisher: Oxford University Press
ISBN: 0199651442
Category : Mathematics
Languages : en
Pages : 313
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Book Description
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.
