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Author: Olivier Gasquet
Publisher: Springer Science & Business Media
ISBN: 3764385049
Category : Mathematics
Languages : en
Pages : 208
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Book Description
Possible worlds models were introduced by Saul Kripke in the early 1960s. Basically, a possible world's model is nothing but a graph with labelled nodes and labelled edges. Such graphs provide semantics for various modal logics (alethic, temporal, epistemic and doxastic, dynamic, deontic, description logics) and also turned out useful for other nonclassical logics (intuitionistic, conditional, several paraconsistent and relevant logics). All these logics have been studied intensively in philosophical and mathematical logic and in computer science, and have been applied increasingly in domains such as program semantics, artificial intelligence, and more recently in the semantic web. Additionally, all these logics were also studied proof theoretically. The proof systems for modal logics come in various styles: Hilbert style, natural deduction, sequents, and resolution. However, it is fair to say that the most uniform and most successful such systems are tableaux systems. Given logic and a formula, they allow one to check whether there is a model in that logic. This basically amounts to trying to build a model for the formula by building a tree. This book follows a more general approach by trying to build a graph, the advantage being that a graph is closer to a Kripke model than a tree. It provides a step-by-step introduction to possible worlds semantics (and by that to modal and other nonclassical logics) via the tableaux method. It is accompanied by a piece of software called LoTREC (www.irit.fr/Lotrec). LoTREC allows to check whether a given formula is true at a given world of a given model and to check whether a given formula is satisfiable in a given logic. The latter can be done immediately if the tableau system for that logic has already been implemented in LoTREC. If this is not yet the case LoTREC offers the possibility to implement a tableau system in a relatively easy way via a simple, graph-based, interactive language.
Author: Olivier Gasquet
Publisher: Springer Science & Business Media
ISBN: 3764385049
Category : Mathematics
Languages : en
Pages : 208
Get Book
Book Description
Possible worlds models were introduced by Saul Kripke in the early 1960s. Basically, a possible world's model is nothing but a graph with labelled nodes and labelled edges. Such graphs provide semantics for various modal logics (alethic, temporal, epistemic and doxastic, dynamic, deontic, description logics) and also turned out useful for other nonclassical logics (intuitionistic, conditional, several paraconsistent and relevant logics). All these logics have been studied intensively in philosophical and mathematical logic and in computer science, and have been applied increasingly in domains such as program semantics, artificial intelligence, and more recently in the semantic web. Additionally, all these logics were also studied proof theoretically. The proof systems for modal logics come in various styles: Hilbert style, natural deduction, sequents, and resolution. However, it is fair to say that the most uniform and most successful such systems are tableaux systems. Given logic and a formula, they allow one to check whether there is a model in that logic. This basically amounts to trying to build a model for the formula by building a tree. This book follows a more general approach by trying to build a graph, the advantage being that a graph is closer to a Kripke model than a tree. It provides a step-by-step introduction to possible worlds semantics (and by that to modal and other nonclassical logics) via the tableaux method. It is accompanied by a piece of software called LoTREC (www.irit.fr/Lotrec). LoTREC allows to check whether a given formula is true at a given world of a given model and to check whether a given formula is satisfiable in a given logic. The latter can be done immediately if the tableau system for that logic has already been implemented in LoTREC. If this is not yet the case LoTREC offers the possibility to implement a tableau system in a relatively easy way via a simple, graph-based, interactive language.
Author: Armin Haller
Publisher: Springer
ISBN: 3642383335
Category : Computers
Languages : en
Pages : 363
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Book Description
This book constitutes the revised selected papers of the combined workshops on Web Information Systems Engineering, WISE 2011 and WISE 2012, held in Sydney, Australia, in October 2011 and in Paphos, Cyprus, in November 2012. The seven workshops of WISE 2011-2012 have reported the recent developments and advances in the contemporary topics in the related fields of: Advanced Reasoning Technology for e-Science (ART 2012), Cloud-Enabled Business Process Management (CeBPM 2012), Engineering in the Semantic Enterprise (ESE 2012), Social Web Analysis for Trend Detection (SoWeTrend 2012), Big Data and Cloud (BDC 2012), Personalization in Cloud and Service Computing (PC-S 2011), and User-Focused Service Engineering, Consumption and Aggregation (USECA 2011).
Author: Takashi Yagisawa
Publisher: OUP Oxford
ISBN: 0191573574
Category : Philosophy
Languages : en
Pages : 336
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Book Description
Modal realism says that non-actual possible worlds and individuals are as real as the actual world and individuals. Takashi Yagisawa defends modal realism of a variety different from David Lewis's theory. The notion of reality is left primitive and sharply distinguished from that of existence, which is proposed as a relation between a thing and a domain. Worlds are postulated as modal indices for truth on a par with times, which are temporal indices for truth. Ordinary individual objects are conceived as being extended in spatial, temporal, and modal dimensions, and their transworld identity is explicated by the closest-continuer theory. Impossible worlds and individuals are postulated and used to provide accounts of propositions, belief sentences, and fictional discourse.
Author: Stuart Brock
Publisher: OUP Oxford
ISBN: 0191054534
Category : Philosophy
Languages : en
Pages : 288
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Book Description
Eleven original essays discuss a range of puzzling philosophical questions about fictional characters, and more generally about fictional objects. For example, they ask questions like the following: Do they really exist? What would fictional objects be like if they existed? Do they exist eternally? Are they created? Who by? When and how? Can they be destroyed? If so, how? Are they abstract or concrete? Are they actual? Are they complete objects? Are they possible objects? How many fictional objects are there? What are their identity conditions? What kinds of attitudes can we have towards them? This volume will be a landmark in the philosophical debate about fictional objects, and will influence higher-level debates within metaphysics, the philosophy of mind, and the philosophy of language.
Author: Dickson Lukose
Publisher: Springer Science & Business Media
ISBN: 9783540633082
Category : Computers
Languages : en
Pages : 644
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Book Description
This book constitutes the refereed proceedings of the Fifth International Conference on Conceptual Structures, ICCS '97, held in Seattle, Washington, USA, in August 1997. The 39 full papers presented were carefully selected and revised for inclusion in the volume. Also included are 9 abstracts of conceptual graphs tools. The papers are organized in sections on knowledge representation, knowledge modeling, formal concept analysis, formal reasoning, applications of conceptual graphs, and conceptual graphs tools. This book competently documents the progress achieved in the area since the predecessor conference ICCS '96, the proceedings of which have been published as LNAI 1115.
Author: S.G. Shanker
Publisher: Routledge
ISBN: 1317832035
Category : Philosophy
Languages : en
Pages : 571
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Book Description
First published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.
Author: Errol Morris
Publisher: University of Chicago Press
ISBN: 0226922707
Category : Philosophy
Languages : en
Pages : 224
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Book Description
Filmmaker Errol Morris offers his perspective on the world and his powerful belief in the necessity of truth. In 1972, philosopher of science Thomas Kuhn threw an ashtray at Errol Morris. This book is the result. At the time, Morris was a graduate student. Now we know him as one of the most celebrated and restlessly probing filmmakers of our time, the creator of such classics of documentary investigation as The Thin Blue Line and The Fog of War. Kuhn, meanwhile, was—and, posthumously, remains—a star in his field, the author of The Structure of Scientific Revolutions, a landmark book that has sold well over a million copies and introduced the concept of “paradigm shifts” to the larger culture. And Morris thought the idea was bunk. The Ashtray tells why—and in doing so, it makes a powerful case for Morris’s way of viewing the world, and the centrality to that view of a fundamental conception of the necessity of truth. “For me,” Morris writes, “truth is about the relationship between language and the world: a correspondence idea of truth.” He has no patience for philosophical systems that aim for internal coherence and disdain the world itself. Morris is after bigger game: he wants to establish as clearly as possible what we know and can say about the world, reality, history, our actions and interactions. It’s the fundamental desire that animates his filmmaking, whether he’s probing Robert McNamara about Vietnam or the oddball owner of a pet cemetery. Truth may be slippery, but that doesn’t mean we have to grease its path of escape through philosophical evasions. Rather, Morris argues powerfully, it is our duty to do everything we can to establish and support it. In a time when truth feels ever more embattled, under siege from political lies and virtual lives alike, The Ashtray is a bracing reminder of its value, delivered by a figure who has, over decades, uniquely earned our trust through his commitment to truth. No Morris fan should miss it.
Author: Edwin Mares
Publisher: Cambridge University Press
ISBN: 1009375296
Category : Mathematics
Languages : en
Pages : 282
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Book Description
What follows from what, and how do we make statements (whether true or false) about which inferences are correct? In this book, Edwin Mares provides a new philosophical, semantical and historical analysis of and justification for the relevant logic of entailment. In the first half of the book he examines some key ideas in the historical development of the logic of entailment, looking in particular at the notion 'is derivable from' and at how symbolic logic has attempted to capture this notion. In the second half of the book he develops his own theory connecting ideas from the traditions in mathematical logic with some ideas in the philosophy of science. The book's fresh and original perspective on the logic of entailment will be valuable for all who want to know more about the historical and philosophical origins of modern symbolic logic.
Author: Orna Kupferman
Publisher: Springer Nature
ISBN: 3031308298
Category : Computers
Languages : en
Pages : 575
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Book Description
This open access book constitutes the proceedings of the 26th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2023, which was held during April 22-27, 2023, in Paris, France, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2023. The 26 regular papers presented in this volume were carefully reviewed and selected from 85 submissions. They deal with research on theories and methods to support the analysis, integration, synthesis, transformation, and verification of programs and software systems.
Author: Timothy Williamson
Publisher: OUP Oxford
ISBN: 0191654760
Category : Philosophy
Languages : en
Pages : 480
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Book Description
Are there such things as merely possible people, who would have lived if our ancestors had acted differently? Are there future people, who have not yet been conceived? Questions like those raise deep issues about both the nature of being and its logical relations with contingency and change. In Modal Logic as Metaphysics, Timothy Williamson argues for positive answers to those questions on the basis of an integrated approach to the issues, applying the technical resources of modal logic to provide structural cores for metaphysical theories. He rejects the search for a metaphysically neutral logic as futile. The book contains detailed historical discussion of how the metaphysical issues emerged in the twentieth century development of quantified modal logic, through the work of such figures as Rudolf Carnap, Ruth Barcan Marcus, Arthur Prior, and Saul Kripke. It proposes higher-order modal logic as a new setting in which to resolve such metaphysical questions scientifically, by the construction of systematic logical theories embodying rival answers and their comparison by normal scientific standards. Williamson provides both a rigorous introduction to the technical background needed to understand metaphysical questions in quantified modal logic and an extended argument for controversial, provocative answers to them. He gives original, precise treatments of topics including the relation between logic and metaphysics, the methodology of theory choice in philosophy, the nature of possible worlds and their role in semantics, plural quantification compared to quantification into predicate position, communication across metaphysical disagreement, and problems for truthmaker theory.
