Author: John E. Clifford
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110871033
Category : Language Arts & Disciplines
Languages : en
Pages : 176

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Book Description
No detailed description available for "Tense and Tense Logic".

Author: R.L. McArthur
Publisher: Springer Science & Business Media
ISBN: 9401732191
Category : Philosophy
Languages : en
Pages : 96

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Book Description
This monograph is designed to provide an introduction to the principal areas of tense logic. Many of the developments in this ever-growing field have been intentionally excluded to fulfill this aim. Length also dictated a choice between the alternative notations of A. N. Prior and Nicholas Rescher - two pioneers of the subject. I choose Prior's because of the syntactical parallels with the language it symbolizes and its close ties with other branches of logi cal theory, especially modal logic. The first chapter presents a wider view of the material than later chapters. Several lines of development are consequently not followed through the remainder of the book, most notably metric systems. Although it is import ant to recognize that the unadorned Prior-symbolism can be enriched in vari ous ways it is an advanced subject as to how to actually carry off these enrichments. Readers desiring more information are referred to the appropri ate literature. Specialists will notice that only the first of several quantifi cational versions of tense logic is proven complete in the final chapter. Again constraints of space are partly to blame. The proof for the 'star' systems is wildly complex and at the time of this writing is not yet ready for publi cation.

Author: John Edward Clifford
Publisher: Janua Linguarum. Series Minor
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 184

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Book Description
The aim of this study is to determine to what extent the tense markers of tense logic represent what is represented by the tense forms of natural language. To achieve this, it will be necessary to report the findings of linguistics on what the tense forms of natural languages do represent. The justification for this study lies in a fundamental difference between natural and logical languages. Where natural languages develop to meet the needs of their speakers, logical language is used for testing the validity of argument of a certain kind. Tense logic has been used to examine philosophical issues, and in linguistics to examine how tenses describe many different possible structures of time.

Author: Dov M. Gabbay
Publisher: Springer Science & Business Media
ISBN: 9401014531
Category : Philosophy
Languages : en
Pages : 311

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Book Description
This book is intended to serve as an advanced text and reference work on modal logic, a subject of growing importance which has applications to philosophy and linguistics. Although it is based mainly on research which I carried out during the years 1969-1973, it also includes some related results obtained by other workers in the field (see the refer ences in Part 7). Parts 0, 1 and 2, can be used as the basis of a one year graduate course in modal logic. The material which they contain has been taught in such courses at Stanford since 1970. The remaining parts of the book contain more than enough material for a second course in modal logic. The exercises supplement the text and are usually difficult. I wish to thank Stanford University and Bar-Han University for making it possible for me to continue and finish this work, and A. Ungar for correcting the typescript. Bar-Ilan University, Israel Dov M. GABBA Y PART 0 AN INTRODUCTION TO GENERAL INTENSIONAL LOGICS CHAPTER 0 CONSEQUENCE RELATIONS Motivation We introduce the notions of a consequence relation (which is a generalization of the notion of a logical system) and of a semantics. We show that every consequence relation is complete for a canonical semantics. We define the notion of one semantics being Dian in another and study the basic properties of this notion. The concepts of this chapter are generalizations of the various notions of logical system and possible world semantics found in the literature.

Author: Arthur N. Prior
Publisher: Oxford University Press, USA
ISBN: 9780199256075
Category : Philosophy
Languages : en
Pages : 346

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Book Description
This is a revised and expanded edition of a seminal work in the logic and philosophy of time, originally published in 1968. Arthur N. Prior (1914-1969) was the founding father of temporal logic, and his book offers an excellent introduction to the fundamental questions in the field. Several important papers have been added to the original selection, as well as a comprehensive bibliography of Prior's work and an illuminating interview with his widow, Mary Prior. In addition, the Polish logic which made Prior's writings difficult for many readers has been replaced by standard logical notation. This new edition will secure the classic status of the book.

Author: Lennart Åqvist
Publisher:
ISBN:
Category : Tense (Logic).
Languages : en
Pages : 180

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Book Description

Author: Aleksandar Jokić
Publisher: MIT Press
ISBN: 9780262600507
Category : Philosophy
Languages : en
Pages : 484

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Book Description
Original essays by philosophers of language and philosophers of time exploring the semantics and metaphysics of tense.

Author: David John Zacker
Publisher:
ISBN:
Category : Special relativity (Physics)
Languages : en
Pages : 362

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Book Description

Author: Johan van Benthem
Publisher: Springer Science & Business Media
ISBN: 9401579474
Category : Philosophy
Languages : en
Pages : 308

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Book Description
The subject of Time has a wide intellectual appeal across different dis ciplines. This has shown in the variety of reactions received from readers of the first edition of the present Book. Many have reacted to issues raised in its philosophical discussions, while some have even solved a number of the open technical questions raised in the logical elaboration of the latter. These results will be recorded below, at a more convenient place. In the seven years after the first publication, there have been some noticeable newer developments in the logical study of Time and temporal expressions. As far as Temporal Logic proper is concerned, it seems fair to say that these amount to an increase in coverage and sophistication, rather than further break-through innovation. In fact, perhaps the most significant sources of new activity have been the applied areas of Linguistics and Computer Science (including Artificial Intelligence), where many intriguing new ideas have appeared presenting further challenges to temporal logic. Now, since this Book has a rather tight composition, it would have been difficult to interpolate this new material without endangering intelligibility.

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).