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Author: R.L. McArthur Publisher: Springer Science & Business Media ISBN: 9401732191 Category : Philosophy Languages : en Pages : 96
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: R.L. McArthur Publisher: Springer Science & Business Media ISBN: 9401732191 Category : Philosophy Languages : en Pages : 96
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: Arthur N. Prior Publisher: Oxford University Press, USA ISBN: 9780199256075 Category : Philosophy Languages : en Pages : 346
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: Dov M. Gabbay Publisher: Springer Science & Business Media ISBN: 9401014531 Category : Philosophy Languages : en Pages : 311
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: James A. McGilvray Publisher: McGill-Queen's Press - MQUP ISBN: 077356313X Category : Foreign Language Study Languages : en Pages : 392
Book Description
Using Reichenbach's (1947) theory of tenses and temporal structures as a point of departure, McGilvray modifies it to produce a theory of his own. Analysing the difficulties Reichenbach's theory has in explaining the relationship of a speaker to a world, he introduces a new model for this relationship based on the three-interval temporal topology that Reichenbachian theory assigns to the sentences of natural languages. McGilvray explains and defends in detail Reichenbach's theory of tense and temporal structure, criticising and rejecting the major rival theory, found in tense logic. He also applies Reichenbach's nonstandard topology to English, showing that it is correct for the language. A significant aspect of McGilvray's study is the supplementing of Reichenbach's topology by including speakers, sentences, situations, and things spoken about with the temporal intervals. McGilvray relocates and reinterprets a prime source of faulty intuitions concerning time and tense -- our feeling that the past, present, and future must be thought of in terms of the settled, the immediate, and the unsettled. He uses his theory to explain the temporal and semantic structure of complex constructions in English, including propositional attitudes, modals, and conditionals. As well, he adapts the structure that Reichenbach's theory assigns to sentences to the aspects perfective (complete) and imperfective (incomplete). The novel view of temporal and semantic structure developed by McGilvray touches on virtually all the puzzles concerning the philosophy of language -- meaning and meaningfulness, the nature of reference, truth, propositions, and worldmaking. His emphasis is on how the speaker, by articulating sentences and understanding them, is both free and constrained -- free to describe something which can be located at any time and in any world, but constrained by the beliefs, evidence, information, and commitments held or made at the time of speech.
Author: John Edward Clifford Publisher: Janua Linguarum. Series Minor ISBN: Category : Language Arts & Disciplines Languages : en Pages : 184
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: Arthur N. Prior Publisher: John Locke Lecture ISBN: 0198241585 Category : Philosophy Languages : en Pages : 162
Book Description
The relationship between formal logic and general philosophy is discussed under headings such as A Re-examination of Our Tense-Logical Postulates, Modal Logic in the Style of Frege, and Intentional Logic and Indeterminism.
Author: Uwe Mönnich Publisher: Springer Science & Business Media ISBN: 9400983840 Category : Philosophy Languages : en Pages : 286
Book Description
This volume constitutes the Proceedings of a workshop on formal seman tics of natural languages which was held in Tiibingen from the 1st to the 3rd of December 1977. Its main body consists of revised versions of most of the papers presented on that occasion. Three supplementary papers (those by Gabbay and Sma by) are included because they seem to be of particular interest in their respective fields. The area covered by the work of scholars engaged in philosophical logic and the formal analysis of natural languages testifies to the live liness in those disciplines. It would have been impossible to aim at a complete documentation of relevant research within the limits imposed by a short conference whereas concentration on a single topic would have conveyed the false impression of uniformity foreign to a young and active field. It is hoped that the essays collected in this volume strike a reasonable balance between the two extremes. The topics discussed here certainly belong to the most important ones enjoying the attention of linguists and philosophers alike: the analysis of tense in formal and natural languages (van Benthem, Gabbay), the quickly expanding domain of generalized quantifiers (Goldblatt), the problem of vagueness (Kamp), the connected areas of pronominal reference (Smaby) and presupposition (von Stechow) and, last but not least, modal logic as a sort of all-embracing theoretical framework (Bressan). The workshop which led to this collection formed part of the activities celebrating the 500th anniversary of Tiibingen University.
Author: John A. Nerbonne Publisher: Routledge ISBN: 1134992343 Category : Foreign Language Study Languages : en Pages : 236
Book Description
First published in 1985, this book analyses temporal meaning in German. The framework is that of a model-theoretic semantics, more specifically one incorporating a multi-dimensional tense logic. The first chapter presents this logic and argues that three dimensions are optimal for the description of natural language temporalia. The second chapter applies this theory to the analysis of temporal meaning in German. Frame adverbials, the Present and Past Tenses, duratives, aspectual adverbials using in, and the adverbials particle schon are examined. Chapter 3 provides a formal syntax to bear the semantic analysis proposed in the second chapter and the final chapter explores syntactic and semantic extensions of the fragment, showing how the Perfect, the particle noch, the passive, and a distinct reading of frame adverbials may be accommodated.
Author: R.L. McArthur
Author: R.L. McArthur
Author: Arthur N. Prior
Author: John E. Clifford
Author: Dov M. Gabbay
Author: James A. McGilvray
Author: John Edward Clifford
Author: Arthur N. Prior
Author: Uwe Mönnich
Author: John A. Nerbonne
Author: A. A. Rini