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 PDF Author: Dov M. Gabbay
Publisher:
ISBN:
Category : Logic
Languages : en
Pages :

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Logic and the Modalities in the Twentieth Century

Logic and the Modalities in the Twentieth Century PDF Author: Dov M. Gabbay
Publisher: Elsevier
ISBN: 0080463037
Category : Mathematics
Languages : en
Pages : 733

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Book Description
Logic and the Modalities in the Twentieth Century is an indispensable research tool for anyone interested in the development of logic, including researchers, graduate and senior undergraduate students in logic, history of logic, mathematics, history of mathematics, computer science and artificial intelligence, linguistics, cognitive science, argumentation theory, philosophy, and the history of ideas.This volume is number seven in the eleven volume Handbook of the History of Logic. It concentrates on the development of modal logic in the 20th century, one of the most important undertakings in logic's long history. Written by the leading researchers and scholars in the field, the volume explores the logics of necessity and possibility, knowledge and belief, obligation and permission, time, tense and change, relevance, and more. Both this volume and the Handbook as a whole are definitive reference tools for students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, artificial intelligence, for whom the historical background of his or her work is a salient consideration.· 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 Philosophical Logic

Handbook of Philosophical Logic PDF Author: Dov M. Gabbay
Publisher: Springer Science & Business Media
ISBN: 9400766009
Category : Philosophy
Languages : en
Pages : 282

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Book Description
This second edition of the Handbook of Philosophical Logic reflects great changes in the landscape of philosophical logic since the first edition. It gives readers an idea of that landscape and its relation to computer science and formal language and artificial intelligence. It shows how the increased demand for philosophical logic from computer science and artificial intelligence and computational linguistics accelerated the development of the subject directly and indirectly. This development in turn, directly pushed research forward, stimulated by the needs of applications. New logic areas became established and old areas were enriched and expanded. At the same time, it socially provided employment for generations of logicians residing in computer science, linguistics and electrical engineering departments which of course helped keep the logic community to thrive. The many contributors to this Handbook are active in these application areas and are among the most famous leading figures of applied philosophical logic of our times. ​

Handbook of Logic and Language

Handbook of Logic and Language PDF Author: Johan F.A.K. van Benthem
Publisher: Elsevier
ISBN: 0444537279
Category : Mathematics
Languages : en
Pages : 1169

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Book Description
The logical study of language is becoming more interdisciplinary, playing a role in fields such as computer science, artificial intelligence, cognitive science and game theory. This new edition, written by the leading experts in the field, presents an overview of the latest developments at the interface of logic and linguistics as well as a historical perspective. It is divided into three parts covering Frameworks, General Topics and Descriptive Themes. - Completely revised and updated - includes over 25% new material - Discusses the interface between logic and language - Many of the authors are creators or active developers of the theories

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 PDF Author: Dov M. Gabbay
Publisher:
ISBN:
Category : Logic
Languages : en
Pages :

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Book Description


Brill’s Companion to George Grote and the Classical Tradition

Brill’s Companion to George Grote and the Classical Tradition PDF Author: Kyriakos N. Demetriou
Publisher: BRILL
ISBN: 9004280499
Category : History
Languages : en
Pages : 432

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Book Description
George Grote’s (1794-1871) extensive publications on ancient Greek history and philosophy remain landmarks in the history of classical scholarship. Since the late 20thcentury, lively interest in the works of Grote has seen his profile revived and his ongoing significance highlighted: he has taken up his rightful place among the most celebrated nineteenth-century classical intellectuals. Grote’s critical engagement with Greek historiography and philosophy revolutionized classical studies in his day – a revolution set against both long-established interpretations and prevailing trends in German Altertumswissenschaft. Twenty-first-century scholarship shows that Grote’s works remain lively, sparkling and relevant, as they offers valuable insights that cut across the intellectual borders of the Victorian age. His diligent scholarship, fascination with evidence and sound judgement, intertwined with intriguing and insightful narrative prose, continue to captivate the attention of modern readers. In Brill’s Companion to George Grote and the Classical Tradition Kyriakos N. Demetriou leads a team of prominent scholars to contextualize, unravel and explore Grote’s works as well as provide a critical assessment of his posthumous legacy.

Logic: A History of its Central Concepts

Logic: A History of its Central Concepts PDF 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

Mediaeval and Renaissance Logic

Mediaeval and Renaissance Logic PDF Author: Dov M. Gabbay
Publisher: Elsevier
ISBN: 0080560857
Category : History
Languages : en
Pages : 727

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Book Description
Starting at the very beginning with Aristotle's founding contributions, logic has been graced by several periods in which the subject has flourished, attaining standards of rigour and conceptual sophistication underpinning a large and deserved reputation as a leading expression of human intellectual effort. It is widely recognized that the period from the mid-19th century until the three-quarter mark of the century just past marked one of these golden ages, a period of explosive creativity and transforming insights. It has been said that ignorance of our history is a kind of amnesia, concerning which it is wise to note that amnesia is an illness. It would be a matter for regret, if we lost contact with another of logic's golden ages, one that greatly exceeds in reach that enjoyed by mathematical symbolic logic. This is the period between the 11th and 16th centuries, loosely conceived of as the Middle Ages. The logic of this period does not have the expressive virtues afforded by the symbolic resources of uninterpreted calculi, but mediaeval logic rivals in range, originality and intellectual robustness a good deal of the modern record. The range of logic in this period is striking, extending from investigation of quantifiers and logic consequence to inquiries into logical truth; from theories of reference to accounts of identity; from work on the modalities to the stirrings of the logic of relations, from theories of meaning to analyses of the paradoxes, and more. While the scope of mediaeval logic is impressive, of greater importance is that nearly all of it can be read by the modern logician with at least some prospect of profit. The last thing that mediaeval logic is, is a museum piece.Mediaeval and Renaissance Logic is an indispensable research tool for anyone interested in the development of logic, including researchers, graduate and senior undergraduate students in logic, history of logic, mathematics, history of mathematics, computer science and AI, linguistics, cognitive science, argumentation theory, philosophy, and the history of ideas.- Provides 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

The Connectives

The Connectives PDF Author: Lloyd Humberstone
Publisher: MIT Press
ISBN: 0262016540
Category : Language Arts & Disciplines
Languages : en
Pages : 1511

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Book Description
In The Connectives, Lloyd Humberstone examines the semantics and pragmatics of natural language sentence connectives (and, or, if, not), giving special attention to their formal behavior according to proposed logical systems and the degree to which such treatments capture their intuitive meanings. It will be an essential resource for philosophers, mathematicians, computer scientists, linguists, or any scholar who finds connectives, and the conceptual issues surrounding them, to be a source of interest.

Logic and Metalogic

Logic and Metalogic PDF Author:
Publisher: PediaPress
ISBN:
Category :
Languages : en
Pages : 203

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Hybrid Logic and its Proof-Theory

Hybrid Logic and its Proof-Theory PDF Author: Torben Braüner
Publisher: Springer Science & Business Media
ISBN: 9400700024
Category : Philosophy
Languages : en
Pages : 240

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Book Description
This is the first book-length treatment of hybrid logic and its proof-theory. Hybrid logic is an extension of ordinary modal logic which allows explicit reference to individual points in a model (where the points represent times, possible worlds, states in a computer, or something else). This is useful for many applications, for example when reasoning about time one often wants to formulate a series of statements about what happens at specific times. There is little consensus about proof-theory for ordinary modal logic. Many modal-logical proof systems lack important properties and the relationships between proof systems for different modal logics are often unclear. In the present book we demonstrate that hybrid-logical proof-theory remedies these deficiencies by giving a spectrum of well-behaved proof systems (natural deduction, Gentzen, tableau, and axiom systems) for a spectrum of different hybrid logics (propositional, first-order, intensional first-order, and intuitionistic).