MJ Cresswell
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A Companion to Analytic Philosophy
A Companion to Analytic Philosophy Blackwell Companions to Philosophy This outstanding student reference series offers a comprehensive and authoritative survey of philosophy as a whole. Written by today’s leading philosophers, each volume provides lucid and engaging coverage of the key figures, terms, topics, and problems of the field. Taken together, the volumes provide the ideal basis for course use, represent- ing an unparalleled work of reference for students and specialists alike. Already published in the series 15. A Companion to Bioethics Edited by Helga Kuhse and Peter Singer 1. The Blackwell Companion to Philosophy Edited by Nicholas Bunnin and Eric 16. A Companion to the Philosophers Tsui-James Edited by Robert L. Arrington 2. A Companion to Ethics Edited by Peter Singer 17. A Companion to Business Ethics Edited by Robert E. Frederick 3. A Companion to Aesthetics Edited by David Cooper 18. A Companion to the Philosophy of 4. A Companion to Epistemology Science Edited by Jonathan Dancy and Ernest Sosa Edited by W. H. Newton-Smith 5. A Companion to Contemporary Political 19. A Companion to Environmental Philosophy Philosophy Edited by Robert E. Goodin and Philip Pettit Edited by Dale Jamieson 6. A Companion to Philosophy of Mind 20. A Companion to Analytic Philosophy Edited by Samuel Guttenplan Edited by A. P. Martinich and David Sosa 7. A Companion to Metaphysics Edited by Jaegwon Kim and Ernest Sosa Forthcoming 8. A Companion to Philosophy of Law and A Companion to Genethics Legal Theory Edited by John Harris and Justine Burley Edited by Dennis Patterson 9. A Companion to Philosophy of Religion A Companion to African-American Edited by Philip L. -
Reflecting on the Legacy of CI Lewis
Organon F, Volume 26, 2019, Issue 3 Special Issue Reflecting on the Legacy of C.I. Lewis: Contemporary and Historical Perspectives on Modal Logic Matteo Pascucci and Adam Tamas Tuboly Guest Editors Contents Matteo Pascucci and Adam Tamas Tuboly: Preface ................................... 318 Research Articles Max Cresswell: Modal Logic before Kripke .................................................. 323 Lloyd Humberstone: Semantics without Toil? Brady and Rush Meet Halldén .................................................................................................. 340 Edwin Mares and Francesco Paoli: C. I. Lewis, E. J. Nelson, and the Modern Origins of Connexive Logic ............................................... 405 Claudio Pizzi: Alternative Axiomatizations of the Conditional System VC ............................................................................................ 427 Thomas Atkinson, Daniel Hill and Stephen McLeod: On a Supposed Puzzle Concerning Modality and Existence .......................................... 446 David B. Martens: Wiredu contra Lewis on the Right Modal Logic ............. 474 Genoveva Martí and José Martínez-Fernández: On ‘actually’ and ‘dthat’: Truth-conditional Differences in Possible Worlds Semantics ............... 491 Daniel Rönnedal: Semantic Tableau Versions of Some Normal Modal Systems with Propositional Quantifiers ................................................ 505 Report Martin Vacek: Modal Metaphysics: Issues on the (Im)possible VII ............. 537 Organon F 26 (3) 2019: 318–322 -
Mathematical Modal Logic: a View of Its Evolution
MATHEMATICAL MODAL LOGIC: A VIEW OF ITS EVOLUTION Robert Goldblatt ...there is no one fundamental logical no- tion of necessity, nor consequently of possi- bility. If this conclusion is valid, the subject of modality ought to be banished from logic, since propositions are simply true or false . [Russell, 1905] 1 INTRODUCTION Modal logic was originally conceived as the logic of necessary and possible truths. It is now viewed more broadly as the study of many linguistic constructions that qualify the truth conditions of statements, including statements concerning knowl- edge, belief, temporal discourse, and ethics. Most recently, modal symbolism and model theory have been put to use in computer science, to formalise reasoning about the way programs behave and to express dynamical properties of transi- tions between states. Over a period of three decades or so from the early 1930’s there evolved two kinds of mathematical semantics for modal logic. Algebraic semantics interprets modal connectives as operators on Boolean algebras. Relational semantics uses relational structures, often called Kripke models, whose elements are thought of variously as being possible worlds, moments of time, evidential situations, or states of a computer. The two approaches are intimately related: the subsets of a re- lational structure form a modal algebra (Boolean algebra with operators), while conversely any modal algebra can be embedded into an algebra of subsets of a relational structure via extensions of Stone’s Boolean representation theory. Tech- niques from both kinds of semantics have been used to explore the nature of modal logic and to clarify its relationship to other formalisms, particularly first and sec- ond order monadic predicate logic. -
Formal Semantics and Pragmatics
Baltic International Yearbook of Cognition, Logic and Communication Volume 6 FORMAL SEMANTICS AND PRAGMATICS. DISCOURSE, CONTEXT AND Article 13 MODELS 2011 Formal Semantics: Origins, Issues, Early Impact Barbara H. Partee Department of Linguistics, University of Massachusetts Follow this and additional works at: https://newprairiepress.org/biyclc This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License. Recommended Citation Partee, Barbara H. (2011) "Formal Semantics: Origins, Issues, Early Impact," Baltic International Yearbook of Cognition, Logic and Communication: Vol. 6. https://doi.org/10.4148/biyclc.v6i0.1580 This Proceeding of the Symposium for Cognition, Logic and Communication is brought to you for free and open access by the Conferences at New Prairie Press. It has been accepted for inclusion in Baltic International Yearbook of Cognition, Logic and Communication by an authorized administrator of New Prairie Press. For more information, please contact [email protected]. Formal Semantics 2 The Baltic International Yearbook of the twentieth century has concerned how much common ground can Cognition, Logic and Communication be found across logic, philosophy, and linguistics. Formal semantics, a discipline founded on an optimistic answer to October 2011 Volume 6: Formal Semantics and Pragmatics: that question, has been shaped over the last forty-plus years by fruit- Discourse, Context, and Models ful interdisciplinary collaboration among linguists, philosophers, and / pages 1-52 DOI: 10.4148 biyclc.v6i0.1580 logicians. In this paper I’ll reflect mainly on the development of formal semantics and to a lesser extent on formal pragmatics in linguistics and BARBARA H. PARTEE philosophy starting in the 1960’s. -
Wittgenstein's Tractatus and Formal Semantics
The Architecture of Meaning: Wittgenstein’s Tractatus and formal semantics Martin Stokhof∗ From: David Levy and Eduardo Zamuner (eds), Wittgenstein’s Enduring Arguments, Routledge, London 1 Introduction With a few notable exceptions formal semantics, as it originated from the seminal work of Richard Montague, Donald Davidson, Max Cresswell, David Lewis and others, in the late sixties and early seventies of the previous century, does not consider Wittgenstein as one of its ancestors. That honour is bestowed on Frege, Tarski, Carnap. And so it has been in later developments. Most introductions to the subject will refer to Frege and Tarski (Carnap less frequently) —in addition to the pioneers just mentioned, of course— , and discuss the main elements of their work that helped shape formal semantics in some detail. But Wittgenstein is conspicuously absent whenever the history of the subject is mentioned (usually briefly, if at all). Of course, if one thinks of Wittgenstein’s later work, this is obvious: nothing, it seems, could be more antithetic to what formal semantics aims for and to how it pursues those aims than the views on meaning and language that Wittgenstein expounds in, e.g., Philosophical Investigations, with its insistence on particularity and diversity, and its rejection of explanation and formal modelling. But what about his earlier work, the Tractatus (henceforth tlp)? At first sight, that seems much more congenial, as it develops a conception of language and meaning that is both general and uniform, explanatory and formal. In view of that, the general lack of reference to tlp is curious. The central claim of the present paper is that, actually, this is an oversight.