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Handbook Of The History Of Logic

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Handbook of the History of Logic Inductive logic

Handbook of the History of Logic  Inductive logic Book
Author : Dov M. Gabbay,John Hayden Woods
Publisher : Elsevier
Release : 2004
ISBN : 0444529365
Language : En, Es, Fr & De

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Book Description :

In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects, relevant to the research programmes of the present day. Ancient logic is no exception. The present volume attests to the distant origins of some of modern logic's most important features, such as can be found in the claim by the authors of the chapter on Aristotle's early logic that, from its infancy, the theory of the syllogism is an example of an intuitionistic, non-monotonic, relevantly paraconsistent logic. Similarly, in addition to its comparative earliness, what is striking about the best of the Megarian and Stoic traditions is their sophistication and originality.

Handbook of the History of Logic

Handbook of the History of Logic Book
Author : Anonim
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Handbook of the History of Logic book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Handbook of the History of Logic Logic A History of its Central Concepts

Handbook of the History of Logic  Logic  A History of its Central Concepts Book
Author : Dov M. Gabbay,John Woods,Stephan Hartmann
Publisher : Unknown
Release : 2011
ISBN : 9780444515964
Language : En, Es, Fr & De

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Book Description :

Download Handbook of the History of Logic Logic A History of its Central Concepts book written by Dov M. Gabbay,John Woods,Stephan Hartmann, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Sets and Extensions in the Twentieth Century

Sets and Extensions in the Twentieth Century Book
Author : Anonim
Publisher : North Holland
Release : 2012-03-16
ISBN : 9780444516213
Language : En, Es, Fr & De

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Book Description :

Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. 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 mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration 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 rise of modern logic from Leibniz to Frege

Handbook of the History of Logic  rise of modern logic  from Leibniz to Frege Book
Author : Dov M. Gabbay,John Woods
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Handbook of the History of Logic rise of modern logic from Leibniz to Frege book written by Dov M. Gabbay,John Woods, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Computational Logic

Computational Logic Book
Author : Dov M. Gabbay,Jörg H. Siekmann,John Woods
Publisher : North Holland
Release : 2014-12-12
ISBN : 9780444516244
Language : En, Es, Fr & De

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Book Description :

Handbook of the History of Logic brings to the development of logic the best in modern techniques of historical and interpretative scholarship. Computational logic was born in the twentieth century and evolved in close symbiosis with the advent of the first electronic computers and the growing importance of computer science, informatics and artificial intelligence. With more than ten thousand people working in research and development of logic and logic-related methods, with several dozen international conferences and several times as many workshops addressing the growing richness and diversity of the field, and with the foundational role and importance these methods now assume in mathematics, computer science, artificial intelligence, cognitive science, linguistics, law and many engineering fields where logic-related techniques are used inter alia to state and settle correctness issues, the field has diversified in ways that even the pure logicians working in the early decades of the twentieth century could have hardly anticipated. Logical calculi, which capture an important aspect of human thought, are now amenable to investigation with mathematical rigour and computational support and fertilized the early dreams of mechanised reasoning: "Calculemus”. The Dartmouth Conference in 1956 - generally considered as the birthplace of artificial intelligence - raised explicitly the hopes for the new possibilities that the advent of electronic computing machinery offered: logical statements could now be executed on a machine with all the far-reaching consequences that ultimately led to logic programming, deduction systems for mathematics and engineering, logical design and verification of computer software and hardware, deductive databases and software synthesis as well as logical techniques for analysis in the field of mechanical engineering. This volume covers some of the main subareas of computational logic and its applications. Chapters by leading authorities in the field Provides a forum where philosophers and scientists interact Comprehensive reference source on the history of logic

British Logic in the Nineteenth Century

British Logic in the Nineteenth Century Book
Author : Dov M. Gabbay,John Woods
Publisher : North Holland
Release : 2008-03-24
ISBN : 9780444516107
Language : En, Es, Fr & De

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Book Description :

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

Handbook of the History of Logic The many valued and nonmonotonic turn in logic

Handbook of the History of Logic  The many valued and nonmonotonic turn in logic Book
Author : Dov M. Gabbay,John Hayden Woods
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Handbook of the History of Logic The many valued and nonmonotonic turn in logic book written by Dov M. Gabbay,John Hayden Woods, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Handbook of the History of Logic Greek Indian and Arabic logic

Handbook of the History of Logic  Greek  Indian  and Arabic logic Book
Author : Dov M. Gabbay,John Hayden Woods
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Handbook of the History of Logic Greek Indian and Arabic logic book written by Dov M. Gabbay,John Hayden Woods, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Handbook of the History of Logic Computational logic

Handbook of the History of Logic  Computational logic Book
Author : Dov M. Gabbay,John Hayden Woods
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Handbook of the History of Logic Computational logic book written by Dov M. Gabbay,John Hayden Woods, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Handbook of the History of Logic Logic and the Modalities in the Twentieth Century

Handbook of the History of Logic  Logic and the Modalities in the Twentieth Century Book
Author : Dov M. Gabbay,John Hayden Woods
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Handbook of the History of Logic Logic and the Modalities in the Twentieth Century book written by Dov M. Gabbay,John Hayden Woods, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Handbook of the History of Logic Mediaeval and Renaissance logic

Handbook of the History of Logic  Mediaeval and Renaissance logic Book
Author : Dov M. Gabbay,John Hayden Woods
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Handbook of the History of Logic Mediaeval and Renaissance logic book written by Dov M. Gabbay,John Hayden Woods, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Handbook of the History of Logic Logic from Russell to Church

Handbook of the History of Logic  Logic from Russell to Church Book
Author : Dov M. Gabbay,John Hayden Woods
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Handbook of the History of Logic Logic from Russell to Church book written by Dov M. Gabbay,John Hayden Woods, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

The Rise of Modern Logic from Leibniz to Frege

The Rise of Modern Logic  from Leibniz to Frege Book
Author : Dov M. Gabbay,John Woods
Publisher : Elsevier
Release : 2004-03-08
ISBN : 9780080532875
Language : En, Es, Fr & De

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Book Description :

With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical character. It is, however, a substantial error to suppose that the mathematization of logic was, in all essentials, Frege's accomplishment or, if not his alone, a development ensuing from the second half of the nineteenth century. The mathematical turn in logic, although given considerable torque by events of the nineteenth century, can with assurance be dated from the final quarter of the seventeenth century in the impressively prescient work of Leibniz. It is true that, in the three hundred year run-up to the Begriffsschrift, one does not see a smoothly continuous evolution of the mathematical turn, but the idea that logic is mathematics, albeit perhaps only the most general part of mathematics, is one that attracted some degree of support throughout the entire period in question. Still, as Alfred North Whitehead once noted, the relationship between mathematics and symbolic logic has been an "uneasy" one, as is the present-day association of mathematics with computing. Some of this unease has a philosophical texture. For example, those who equate mathematics and logic sometimes disagree about the directionality of the purported identity. Frege and Russell made themselves famous by insisting (though for different reasons) that logic was the senior partner. Indeed logicism is the view that mathematics can be re-expressed without relevant loss in a suitably framed symbolic logic. But for a number of thinkers who took an algebraic approach to logic, the dependency relation was reversed, with mathematics in some form emerging as the senior partner. This was the precursor of the modern view that, in its four main precincts (set theory, proof theory, model theory and recursion theory), logic is indeed a branch of pure mathematics. It would be a mistake to leave the impression that the mathematization of logic (or the logicization of mathematics) was the sole concern of the history of logic between 1665 and 1900. There are, in this long interval, aspects of the modern unfolding of logic that bear no stamp of the imperial designs of mathematicians, as the chapters on Kant and Hegcl make clear. Of the two, Hcgel's influence on logic is arguably the greater, serving as a spur to the unfolding of an idealist tradition in logic - a development that will be covered in a further volume, British Logic in the Nineteenth Century.

Logic A History of its Central Concepts

Logic  A History of its Central Concepts Book
Author : Dov M. Gabbay,Francis Jeffry Pelletier,John Woods
Publisher : Newnes
Release : 2012-12-31
ISBN : 0080931707
Language : En, Es, Fr & De

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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

Handbook of the History of Logic 9780444504661

Handbook of the History of Logic  9780444504661   Book
Author : no. author
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Handbook of the History of Logic 9780444504661 book written by no. author, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Logic from Russell to Church

Logic from Russell to Church Book
Author : Dov M. Gabbay,John Woods
Publisher : Elsevier
Release : 2009-06-16
ISBN : 0080885470
Language : En, Es, Fr & De

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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

Handbook of the history of logic

Handbook of the history of logic Book
Author : Dov M. Gabbay,John Hayden Woods
Publisher : Unknown
Release : 2012
ISBN : 9780444515964
Language : En, Es, Fr & De

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Book Description :

Download Handbook of the history of logic book written by Dov M. Gabbay,John Hayden Woods, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Sets and Extensions in the Twentieth Century

Sets and Extensions in the Twentieth Century Book
Author : Anonim
Publisher : Elsevier
Release : 2012-01-24
ISBN : 0080930662
Language : En, Es, Fr & De

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Book Description :

Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. 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 mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration Serves as a singular contribution to the intellectual history of the 20th century Contains the latest scholarly discoveries and interpretative insights