Results for 'Modality'

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  1. Modal Logic as Metaphysics.Timothy Williamson - 2013 - Oxford, England: Oxford University Press.
    Timothy Williamson gives an original and provocative treatment of deep metaphysical questions about existence, contingency, and change, using the latest resources of quantified modal logic. Contrary to the widespread assumption that logic and metaphysics are disjoint, he argues that modal logic provides a structural core for metaphysics.
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  2.  89
    Modal collapse in Gödel's ontological proof.Srećko Kovač - 2012 - In Miroslaw Szatkowski (ed.), Ontological Proofs Today. Frankfurt a. M., etc.: Ontos Verlag. pp. 50--323.
    After introductory reminder of and comments on Gödel’s ontological proof, we discuss the collapse of modalities, which is provable in Gödel’s ontological system GO. We argue that Gödel’s texts confirm modal collapse as intended consequence of his ontological system. Further, we aim to show that modal collapse properly fits into Gödel’s philosophical views, especially into his ontology of separation and union of force and fact, as well as into his cosmological theory of the nonobjectivity of the lapse of time. As (...)
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  3. Modal Logic: An Introduction.Brian F. Chellas - 1980 - New York: Cambridge University Press.
    A textbook on modal logic, intended for readers already acquainted with the elements of formal logic, containing nearly 500 exercises. Brian F. Chellas provides a systematic introduction to the principal ideas and results in contemporary treatments of modality, including theorems on completeness and decidability. Illustrative chapters focus on deontic logic and conditionality. Modality is a rapidly expanding branch of logic, and familiarity with the subject is now regarded as a necessary part of every philosopher's technical equipment. Chellas here (...)
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  4. Modality and Explanatory Reasoning.Boris Kment - 2014 - New York: Oxford University Press.
    Boris Kment takes a new approach to the study of modality that emphasises the origin of modal notions in everyday thought. He argues that the concepts of necessity and possibility originate in counterfactual reasoning, which allows us to investigate explanatory connections. Contrary to accepted views, explanation is more fundamental than modality.
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  5. Modality and Tense: Philosophical Papers.Kit Fine - 2005 - Oxford, England: Oxford University Press.
    This book is collection of the the author’s previously published papers on the philosophy of modality and tense and it also includes three unpublished papers. The author provides an exposition and defence of certain positions for which he is well-known: the intelligibility of modality de re; the primitiveness of the modal; and the primacy of the actual over the possible. He also argues for some less familiar positions: the existence of distinctive forms of natural and normative necessity, not (...)
  6. Modality: metaphysics, logic, and epistemology.Bob Hale & Aviv Hoffmann (eds.) - 2010 - qnew York: Oxford University Press.
    The philosophy of modality investigates necessity and possibility, and related notions--are they objective features of mind-independent reality? If so, are they irreducible, or can modal facts be explained in other terms? This volume presents new work on modality by established leaders in the field and by up-and-coming philosophers. Between them, the papers address fundamental questions concerning realism and anti-realism about modality, the nature and basis of facts about what is possible and what is necessary, the nature of (...)
  7. Kant on Modality.Colin Marshall & Aaron Barker - forthcoming - In Anil Gomes & Andrew Stephenson (eds.), Oxford Handbook of Kant. Oxford University Press.
    This chapter analyzes several key themes in Kant’s views about modality. We begin with the pre-critical Only Possible Argument in Support of a Demonstration of the Existence of God, in which Kant distinguishes between formal and material elements of possibility, claims that all possibility requires an actual ground, and argues for the existence of a single necessary being. We then briefly consider how Kant’s views change in his mature period, especially concerning the role of form and thought in defining (...)
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  8.  5
    Modal Logic for Open Minds.Johan van Benthem - 2010 - Stanford, CA, USA: Center for the Study of Language and Information.
    In _Modal Logic for Open Minds,_ Johan van Benthem provides an up-to-date introduction to the field of modal logic, outlining its major ideas and exploring the numerous ways in which various academic fields have adopted it. Van Benthem begins with the basic theories of modal logic, semantics, bisimulation, and axiomatics, and also covers more advanced topics, such as expressive power and computational complexity. The book then moves to a wide range of applications, including new developments in information flow, intelligent agency, (...)
  9. Modal logic.Alexander Chagrov - 1997 - New York: Oxford University Press. Edited by Michael Zakharyaschev.
    For a novice this book is a mathematically-oriented introduction to modal logic, the discipline within mathematical logic studying mathematical models of reasoning which involve various kinds of modal operators. It starts with very fundamental concepts and gradually proceeds to the front line of current research, introducing in full details the modern semantic and algebraic apparatus and covering practically all classical results in the field. It contains both numerous exercises and open problems, and presupposes only minimal knowledge in mathematics. A specialist (...)
  10. From Modal Skepticism to Modal Empiricism.Felipe Leon - 2017 - In Robert William Fischer Felipe Leon (ed.), Modal Epistemology After Rationalism. Springer Verlag.
    This collection highlights the new trend away from rationalism and toward empiricism in the epistemology of modality. Accordingly, the book represents a wide range of positions on the empirical sources of modal knowledge. Readers will find an introduction that surveys the field and provides a brief overview of the work, which progresses from empirically-sensitive rationalist accounts to fully empiricist accounts of modal knowledge. Early chapters focus on challenges to rationalist theories, essence-based approaches to modal knowledge, and the prospects for (...)
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  11. Modal Knowledge and Counterfactual Knowledge.Sonia Roca-Royes - 2011 - Logique Et Analyse 54 (216):537-552.
    The paper compares the suitability of two different epistemologies of counterfactuals—(EC) and (W)—to elucidate modal knowledge. I argue that, while both of them explain the data on our knowledge of counterfactuals, only (W)—Williamson’s epistemology—is compatible with all counterpossibles being true. This is something on which Williamson’s counterfactual-based account of modal knowledge relies. A first problem is, therefore, that, in the absence of further, disambiguating data, Williamson’s choice of (W) is objectionably biased. A second, deeper problem is that (W) cannot satisfactorily (...)
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  12.  81
    Modal Normativism on Semantic Rules.Rohan Sud - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    According to Amie Thomasson’s modal normativism, the function of modal discourse is to convey semantic rules. But what is a "semantic rule"? I raise three worries according to which there is no conception of a semantic rule that can serve the needs of a modal normativist. The first worry focuses on de re and a posteriori necessities. The second worry concerns Thomasson's inferential specification of the meaning of modal terms. The third worry asks about the normative status of semantic rules.
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  13.  46
    Modal logic for philosophers.James W. Garson - 2006 - New York: Cambridge University Press.
    Designed for use by philosophy students, this book provides an accessible, yet technically sound treatment of modal logic and its philosophical applications. Every effort has been made to simplify the presentation by using diagrams in place of more complex mathematical apparatus. These and other innovations provide philosophers with easy access to a rich variety of topics in modal logic, including a full coverage of quantified modal logic, non-rigid designators, definite descriptions, and the de-re de-dictio distinction. Discussion of philosophical issues concerning (...)
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  14. Epistemic Modals.Seth Yalcin - 2007 - Mind 116 (464):983-1026.
    Epistemic modal operators give rise to something very like, but also very unlike, Moore's paradox. I set out the puzzling phenomena, explain why a standard relational semantics for these operators cannot handle them, and recommend an alternative semantics. A pragmatics appropriate to the semantics is developed and interactions between the semantics, the pragmatics, and the definition of consequence are investigated. The semantics is then extended to probability operators. Some problems and prospects for probabilistic representations of content and context are explored.
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  15. Epistemic Modality.Andy Egan & Brian Weatherson (eds.) - 2011 - Oxford, GB: Oxford University Press.
    There is a lot that we don't know. That means that there are a lot of possibilities that are, epistemically speaking, open. For instance, we don't know whether it rained in Seattle yesterday. So, for us at least, there is an epistemic possibility where it rained in Seattle yesterday, and one where it did not. What are these epistemic possibilities? They do not match up with metaphysical possibilities - there are various cases where something is epistemically possible but not metaphysically (...)
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  16. Naturalised Modal Epistemology.Daniel Nolan - 2017 - In R. Fischer & F. Leon (eds.), Modal Epistemology After Rationalism. Dordrecht, Netherlands: Springer. pp. 7-27.
    The philosophy of necessity and possibility has flourished in the last half-century, but much less attention has been paid to the question of how we know what can be the case and what must be the case. Many friends of modal metaphysics and many enemies of modal metaphysics have agreed that while empirical discoveries can tell us what is the case, they cannot shed much light on what must be the case or on what non-actual possibilities there are. In this (...)
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  17. Epistemic Modal Credence.Simon Goldstein - 2021 - Philosophers' Imprint 21 (26).
    Triviality results threaten plausible principles governing our credence in epistemic modal claims. This paper develops a new account of modal credence which avoids triviality. On the resulting theory, probabilities are assigned not to sets of worlds, but rather to sets of information state-world pairs. The theory avoids triviality by giving up the principle that rational credence is closed under conditionalization. A rational agent can become irrational by conditionalizing on new evidence. In place of conditionalization, the paper develops a new account (...)
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  18.  92
    Modality.Joseph Melia - 2003 - Mcgill-Queen's University Press.
    This introduction to modality places the emphasis on the metaphysics of modality rather than on the formal semetics of quantified modal logic. The text begins by introducing students to the "de re/de dicto" distinction, conventionalist and conceptualist theories of modality and some of the key problems in modality, particularly Quine's criticisms. It then moves on to explain how possible worlds provide a solution to many of the problems in modality and how possible worlds themselves have (...)
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  19. Deontic Modals and Probability: One Theory to Rule Them All?Fabrizio Cariani - forthcoming - In Nate Charlow & Matthew Chrisman (eds.), Deontic Modality. Oxford University Press.
    This paper motivates and develops a novel semantic framework for deontic modals. The framework is designed to shed light on two things: the relationship between deontic modals and substantive theories of practical rationality and the interaction of deontic modals with conditionals, epistemic modals and probability operators. I argue that, in order to model inferential connections between deontic modals and probability operators, we need more structure than is provided by classical intensional theories. In particular, we need probabilistic structure that interacts directly (...)
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  20. Dispositional Modality.Stephen Mumford & Rani Lill Anjum - 2011 - In C. F. Gethmann (ed.), Lebenswelt und Wissenschaft, Deutsches Jahrbuch Philosophie 2. Meiner Verlag.
    There has been much discussion of powers or real dispositions in the past decade, but there remains an issue that has been inadequately treated. This concerns the precise modal value that comes with dispositionality. We contend in this paper that dispositionality involves a non-alethic, sui generis, irreducible modality. Dispositions only tend towards their manifestations; they do not necessitate them. Tendency is, of course, a dispositional term itself, so this last statement offers little by way of illumination. But given our (...)
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  21. Epistemic modals are assessment-sensitive.John MacFarlane - 2011 - In Andy Egan & Brian Weatherson (eds.), Epistemic Modality. Oxford University Press.
    By “epistemic modals,” I mean epistemic uses of modal words: adverbs like “necessarily,” “possibly,” and “probably,” adjectives like “necessary,” “possible,” and “probable,” and auxiliaries like “might,” “may,” “must,” and “could.” It is hard to say exactly what makes a word modal, or what makes a use of a modal epistemic, without begging the questions that will be our concern below, but some examples should get the idea across. If I say “Goldbach’s conjecture might be true, and it might be false,” (...)
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  22. Mathematical Modality: An Investigation of Set Theoretic Contingency.Andrew Bacon - manuscript
    An increasing amount of contemporary philosophy of mathematics posits, and theorizes in terms of special kinds of mathematical modality. The goal of this paper is to bring recent work on higher-order metaphysics to bear on the investigation of these modalities. -/- The main focus of the paper will be views that posit mathematical contingency or indeterminacy about statements that concern the `width' of the set theoretic universe, such as Cantor's continuum hypothesis. In the higher-order framework I show that contingency (...)
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  23. Modals and Modal Epistemology.Jonathan Ichikawa - 2016 - In Amy Kind & Peter Kung (eds.), Knowledge Through Imagination. Oxford University Press. pp. 124-144.
    I distinguish (§1) two projects in modal epistemology—one about how we come to know modal truths, and one about why we have the ability so to come to know. The latter, I suggest, (§§2–3) is amenable to an evolutionary treatment in terms of general capacities developed to evaluate quotidian modal claims. I compare (§4) this approach to a recent suggestion in a similar spirit by Christopher Hill and Timothy Williamson, emphasizing counterfactual conditionals instead of quotidian modals; I argue that while (...)
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  24. The Modal Future: A Theory of Future-Directed Thought and Talk.Fabrizio Cariani - 2021 - Cambridge, UK: Cambridge University Press.
    Provisional draft, pre-production copy of my book “The Modal Future” (forthcoming with Cambridge University Press).
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  25. Epistemic Modals in Context.Andy Egan, John Hawthorne & Brian Weatherson - 2005 - In Gerhard Preyer & Georg Peter (eds.), Contextualism in Philosophy. Oxford University Press. pp. 131-170.
    A very simple contextualist treatment of a sentence containing an epistemic modal, e.g. a might be F, is that it is true iff for all the contextually salient community knows, a is F. It is widely agreed that the simple theory will not work in some cases, but the counterexamples produced so far seem amenable to a more complicated contextualist theory. We argue, however, that no contextualist theory can capture the evaluations speakers naturally make of sentences containing epistemic modals. If (...)
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  26. Moderate Modal Skepticism.Margot Strohminger & Juhani Yli-Vakkuri - 2018 - In Matthew A. Benton, John Hawthorne & Dani Rabinowitz (eds.), Knowledge, Belief, and God: New Insights in Religious Epistemology. Oxford University Press. pp. 302-321.
    This paper examines "moderate modal skepticism", a form of skepticism about metaphysical modality defended by Peter van Inwagen in order to blunt the force of certain modal arguments in the philosophy of religion. Van Inwagen’s argument for moderate modal skepticism assumes Yablo's (1993) influential world-based epistemology of possibility. We raise two problems for this epistemology of possibility, which undermine van Inwagen's argument. We then consider how one might motivate moderate modal skepticism by relying on a different epistemology of possibility, (...)
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  27.  2
    Medieval Modal Systems: Problems and Concepts.Paul Thom - 2003 - Routledge.
    This book explores noteworthy approaches to modal syllogistic adopted by medieval logicians including Abélard, Albert the Great, Avicenna, Averröes, Jean Buridan, Richard Campsall, Robert Kilwardby, and William of Ockham. The book situates these approaches in relation to Aristotle's discussion in the Prior and Posterior Analytics, and other parts of the Organon, but also in relation to the thought of Alexander of Aphrodisias and Boethius on the one hand, and to modern interpretations of the modal syllogistic on the other. Problems explored (...)
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  28.  3
    Modal Logics and Philosophy.Rod Girle - 2000 - [Durham]: Mcgill-Queen's University Press.
    In Part 1 the reader is introduced to some standard systems of modal logic and encouraged through a series of exercises to become proficient in manipulating these logics. The emphasis is on possible world semantics for modal logics and the semantic emphasis is carried into the formal method, Jeffrey-style truth-trees. Standard truth-trees are extended in a simple and transparent way to take possible worlds into account. Part 2 systematically explores the applications of modal logic to philosophical issues such as truth, (...)
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  29. Genuine modal realism and the empty world.David Efird & Tom Stoneham - 2005 - European Journal of Analytic Philosophy 1 (1):21-37.
    We argue that genuine modal realism can be extended, rather than modified, so as to allow for the possibility of nothing concrete, a possibility we term ‘metaphysical nihilism’. The issue should be important to the genuine modal realist because, not only is metaphysical nihilism itself intuitively plausible, but also it is supported by an argument with pre-theoretically credible premises, namely, the subtraction argument. Given the soundness of the subtraction argument, we show that there are two ways that the genuine modal (...)
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  30. A Modal Solution to the Problem of Moral Luck.Rik Peels - 2015 - American Philosophical Quarterly 52 (1):73-88.
    In this article I provide and defend a solution to the problem of moral luck. The problem of moral luck is that there is a set of three theses about luck and moral blameworthiness each of which is at least prima facie plausible, but that, it seems, cannot all be true. The theses are that (1) one cannot be blamed for what happens beyond one’s control, (2) that which is due to luck is beyond one’s control, and (3) we rightly (...)
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  31.  52
    Modal Inertness and the Zombie Argument.Tristan Grøtvedt Haze - forthcoming - Res Philosophica.
    This paper proposes a way of blocking the zombie argument against materialism. The central idea—which can be motivated in various ways, but which I will motivate by drawing on recent work by Wolfgang Schwarz—is that sentences reporting conscious experience are modally inert, roughly in the sense that adding them to a description of a metaphysically possible scenario always results in a description of a metaphysically possible scenario. This is notable in that it leads to a way of blocking the zombie (...)
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  32.  5
    Modal Logics and Philosophy.Rod Girle - 2000 - [Durham]: Routledge.
    The first edition, published by Acumen in 2000, became a prescribed textbook on modal logic courses. The second edition has been fully revised in response to readers' suggestions, including two new chapters on conditional logic, which was not covered in the first edition. "Modal Logics and Philosophy" is a fully comprehensive introduction to modal logics and their application suitable for course use. Unlike most modal logic textbooks, which are both forbidding mathematically and short on philosophical discussion, "Modal Logics and Philosophy" (...)
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  33.  8
    Epistemology modalized.Kelly Becker - 2007 - New York: Routledge. Edited by Heather Dyke.
    There are three primary aims of the book. The first, set out in the book's introduction, is to explain how two fairly recent developments in philosophy, externalism and modalism, provide the basis for a promising account of knowledge - an account that achieves anti-skeptical results and avoids Gettier-style counterexamples that are based on an agent having warranted beliefs that are merely luckily true. Epistemological externalism is the thesis that not all the factors that make a true belief a case of (...)
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  34. A modal view of the semantics of theoretical sentences.Holger Andreas - 2010 - Synthese 174 (3):367 - 383.
    Modal logic has been applied in many different areas, as reasoning about time, knowledge and belief, necessity and possibility, to mention only some examples. In the present paper, an attempt is made to use modal logic to account for the semantics of theoretical sentences in scientific language. Theoretical sentences have been studied extensively since the work of Ramsey and Carnap. The present attempt at a modal analysis is motivated by there being several intended interpretations of the theoretical terms once these (...)
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  35. Modal science.Timothy Williamson - 2016 - Canadian Journal of Philosophy 46 (4-5):453-492.
    This paper explains and defends the idea that metaphysical necessity is the strongest kind of objective necessity. Plausible closure conditions on the family of objective modalities are shown to entail that the logic of metaphysical necessity is S5. Evidence is provided that some objective modalities are studied in the natural sciences. In particular, the modal assumptions implicit in physical applications of dynamical systems theory are made explicit by using such systems to define models of a modal temporal logic. Those assumptions (...)
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  36. Modal Logic: Graph. Darst.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2001 - New York: Cambridge University Press. Edited by Maarten de Rijke & Yde Venema.
    This modern, advanced textbook reviews modal logic, a field which caught the attention of computer scientists in the late 1970's.
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  37. What Is Absolute Modality?Antonella Mallozzi - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    Talk of metaphysical modality as “absolute” is ambiguous, as it appears to convey multiple ideas. Metaphysical possibility is supposedly completely unrestricted or unqualified; metaphysical necessity is unconditional and exceptionless. Moreover, metaphysical modality is thought to be absolute in the sense that it’s real or genuine and the most objective modality: metaphysical possibility and necessity capture ways things could and must have really been. As we disentangle these ideas, certain talk of metaphysical modality qua “absolute” turns out (...)
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  38. Epistemology Modalized.Kelly Becker - 2007 - New York: Routledge.
    This book sets out first to explain how two fairly recent developments in philosophy, externalism and modalism, provide the basis for a promising account of knowledge, and then works through the different modalized epistemologies extant in the literature, assessing their strengths and weaknesses. Finally, the author proposes the theory that knowledge is reliably formed, sensitive true belief, and defends the theory against objections.
     
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  39. Can Modal Skepticism Defeat Humean Skepticism?Peter Hawke - 2017 - In Bob Fischer Felipe Leon (ed.), Modal Epistemology After Rationalism. Dordrecht: Synthese Library. pp. 281-308.
    My topic is moderate modal skepticism in the spirit of Peter van Inwagen. Here understood, this is a conservative version of modal empiricism that severely limits the extent to which an ordinary agent can reasonably believe “exotic” possibility claims. I offer a novel argument in support of this brand of skepticism: modal skepticism grounds an attractive (and novel) reply to Humean skepticism. Thus, I propose that modal skepticism be accepted on the basis of its theoretical utility as a tool for (...)
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  40.  17
    Modal Logic for Open Minds -.Johan van Benthem - 2010 - Stanford, CA, USA: Center for the Study of Language and Inf.
    In _Modal Logic for Open Minds,_ Johan van Benthem provides an up-to-date introduction to the field of modal logic, outlining its major ideas and exploring the numerous ways in which various academic fields have adopted it. Van Benthem begins with the basic theories of modal logic, semantics, bisimulation, and axiomatics, and also covers more advanced topics, such as expressive power and computational complexity. The book then moves to a wide range of applications, including new developments in information flow, intelligent agency, (...)
  41. Displaying Modal Logic.Heinrich Wansing - 2000 - Studia Logica 66 (3):421-426.
  42.  28
    Modal-Logical Reconstructions of Thought Experiments.Ruward Mulder & F. A. Muller - 2023 - Erkenntnis 2023.
    Sorensen (1992) has provided two modal-logical schemas to reconstruct the logical structure of two types of destructive thought experiments: the Necessity Refuter and the Possibility Refuter. The schemas consist of five propositions which Sorensen claims but does not prove to be inconsistent.We show that the five propositions, as presented by Sorensen, are not inconsistent, but by adding a premise (and a logical truth), we prove that the resulting sextet of premises is inconsistent. Häggqvist (2009) has provided a different modal-logical schema (...)
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  43.  6
    The Modal Interpretation of Quantum Mechanics.Dennis Dieks & Pieter Vermaas - 1998 - Kluwer Academic Publishers.
    According to the modal interpretation, the standard mathematical framework of quantum mechanics specifies the physical magnitudes of a system, which have definite values. Probabilities are assigned to the possible values that these magnitudes may adopt. The interpretation is thus concerned with physical properties rather than with measurement results: it is a realistic interpretation. One of the notable achievements of this interpretation is that it dissolves the notorious measurement problem. The papers collected here, together with the introduction and concluding critical appraisal, (...)
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  44.  3
    Displaying Modal Logic.Heinrich Wansing - 1998 - Dordrecht, Netherland: Springer.
    The present monograph is a slightly revised version of my Habilitations schrift Proof-theoretic Aspects of Intensional and Non-Classical Logics, successfully defended at Leipzig University, November 1997. It collects work on proof systems for modal and constructive logics I have done over the last few years. The main concern is display logic, a certain refinement of Gentzen's sequent calculus developed by Nuel D. Belnap. This book is far from offering a comprehensive presentation of generalized sequent systems for modal logics broadly conceived. (...)
  45.  74
    Modal Knowledge, Evolution, and Counterfactuals.Thomas Kroedel - 2017 - In Robert William Fischer & Felipe Leon (eds.), Modal Epistemology After Rationalism. Dordrecht.
    The chapter defends an evolutionary explanation of modal knowledge from knowledge of counterfactual conditionals. Knowledge of counterfactuals is evolutionarily useful, as it enables us to learn from mistakes. Given the standard semantics for counterfactuals, there are several equivalences between modal claims and claims involving counterfactuals that can be used to explain modal knowledge. Timothy Williamson has suggested an explanation of modal knowledge that draws on the equivalence of ‘Necessarily p’ with ‘If p were false, a contradiction would be the case’. (...)
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  46. Modal logic and philosophy.Sten Lindström & Krister Segerberg - 2007 - In Patrick Blackburn, Johan van Benthem & Frank Wolter (eds.), Handbook of Modal Logic. Amsterdam, the Netherlands: Elsevier. pp. 1149-1214.
    Modal logic is one of philosophy’s many children. As a mature adult it has moved out of the parental home and is nowadays straying far from its parent. But the ties are still there: philosophy is important to modal logic, modal logic is important for philosophy. Or, at least, this is a thesis we try to defend in this chapter. Limitations of space have ruled out any attempt at writing a survey of all the work going on in our field—a (...)
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  47.  40
    Modal logic: an introduction to its syntax and semantics.Nino Barnabas Cocchiarella & Max A. Freund - 2008 - New York: Oxford University Press. Edited by Max A. Freund.
    In this text, a variety of modal logics at the sentential, first-order, and second-order levels are developed with clarity, precision and philosophical insight.
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  48. Modal adverbs and discourse.Alessandro Capone - 2001 - ETS.
    modal adverbs and discourse implicatures semantics.
     
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  49.  89
    Strengthening Consistency Results in Modal Logic.Samuel Alexander & Arthur Paul Pedersen - forthcoming - Tark2023.
    A fundamental question asked in modal logic is whether a given theory is consistent. But consistent with what? A typical way to address this question identifies a choice of background knowledge axioms (say, S4, D, etc.) and then shows the assumptions codified by the theory in question to be consistent with those background axioms. But determining the specific choice and division of background axioms is, at least sometimes, little more than tradition. This paper introduces generic theories for propositional modal logic (...)
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  50.  56
    Modal syllogistics in the Middle Ages.Henrik Lagerlund - 2000 - Boston: Brill.
    This book presents the first study of the development of the theory of modal syllogistic in the Middle Ages.
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