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A Theory of Conditionals

In Nicholas Rescher (ed.), Studies in Logical Theory (American Philosophical Quarterly Monographs 2). Oxford: Blackwell. pp. 98-112 (1968)

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  1. A Counterexample to Modus Ponenses.Matthew Mandelkern - 2020 - Journal of Philosophy 117 (6):315-331.
    McGee argued that modus ponens was invalid for the natural language conditional ‘If…then…’. Many subsequent responses have argued that, while McGee’s examples show that modus ponens fails to preserve truth, they do not show that modus ponens fails to preserve rational full acceptance, and thus modus ponens may still be valid in the latter informational sense. I show that when we turn our attention from indicative conditionals to subjunctive conditionals, we find that modus ponens does not preserve either truth or (...)
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  • Rationalism and the Content of Intuitive Judgements.Anna-Sara Malmgren - 2011 - Mind 120 (478):263-327.
    It is commonly held that our intuitive judgements about imaginary problem cases are justified a priori, if and when they are justified at all. In this paper I defend this view — ‘rationalism’ — against a recent objection by Timothy Williamson. I argue that his objection fails on multiple grounds, but the reasons why it fails are instructive. Williamson argues from a claim about the semantics of intuitive judgements, to a claim about their psychological underpinnings, to the denial of rationalism. (...)
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  • Defining Disposition Concepts: A brief history of the problem.Wolfgang Malzkorn - 2001 - Studies in History and Philosophy of Science Part A 32 (2):335-353.
    The aim of this paper is twofold. Firstly, I give a brief account of the history of the debate on the problem of defining disposition concepts from its beginning in the late 1920s until today. This account is divided into four parts, corresponding with 2, 3, 4 and 5 of the paper, each of which deals with a major period of the debate. Section 2 reports up to the mid-1950s. Section 3 deals with important contributions to the discussion between 1955 (...)
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  • Ability, modality, and genericity.John Maier - 2018 - Philosophical Studies 175 (2):411-428.
    Accounts of ability in the philosophical literature have tended to be modal ones: claims about an agent’s abilities are understood in terms of what she does in certain non-actual scenarios. In contrast, a prominent account of ability ascriptions in the recent semantics literature appeals to genericity: claims about an agent’s abilities are understood in terms of what she generally manages to do. The latter account resolves some long-standing problems for modal accounts, but encounters problems of its own. I propose a (...)
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  • Subjunctive conditionals’ local contexts.John Mackay - 2019 - Linguistics and Philosophy 42 (3):207-221.
    Philippe Schlenker gives a method of deriving local contexts from an expression’s classical semantics. In this paper I show that this method, when applied to the traditional variably strict semantics for subjunctive conditionals of Robert Stalnaker, David Lewis, and Angelika Kratzer, delivers an empirically incorrect prediction. The prediction is that the antecedent of a conditional should have the whole domain of possible worlds as its local context and therefore should be allowed to have only necessary presuppositions. In the later part (...)
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  • Quantifying over Possibilities.John Mackay - 2013 - Philosophical Review 122 (4):577-617.
    A person of average height would assert a truth by the conditional ‘if I were seven feet tall, I would be taller than I am,’ in which an indicative clause ‘I am’ is embedded in a subjunctive conditional. By contrast, no one would assert a truth by ‘if I were seven feet tall, I would be taller than I would be’ or ‘if I am seven feet tall, I am taller than I am’. These examples exemplify the fact that whether (...)
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  • Addendum to “Subjunctive conditionals’ local contexts”.John Mackay - 2019 - Linguistics and Philosophy 42 (3):223-223.
    Philippe Schlenker gives a method of deriving local contexts from an expression’s classical semantics. In this paper I show that this method, when applied to the traditional variably strict semantics for subjunctive conditionals of Robert Stalnaker, David Lewis, and Angelika Kratzer, delivers an empirically incorrect prediction. The prediction is that the antecedent of a conditional should have the whole domain of possible worlds as its local context and therefore should be allowed to have only necessary presuppositions. In the later part (...)
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  • A Paraconsistent Conditional Logic.Minghui Ma & Chun-Ting Wong - 2020 - Journal of Philosophical Logic 49 (5):883-903.
    We develop a paraconsistent logic by introducing new models for conditionals with acceptive and rejective selection functions which are variants of Chellas’ conditional models. The acceptance and rejection conditions are substituted for truth conditions of conditionals. The paraconsistent conditional logic is axiomatized by a sequent system \ which is an extension of the Belnap-Dunn four-valued logic with a conditional operator. Some acceptive extensions of \ are shown to be sound and complete. We also show the finite acceptive model property and (...)
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  • Epistemic value.William G. Lycan - 1985 - Synthese 64 (2):137 - 164.
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  • Restorative Rigging and the Safe Indication Account.S. Luper - 2006 - Synthese 153 (1):161-170.
    Typical Gettieresque scenarios involve a subject, S, using a method, M, of believing something, p, where, normally, M is a reliable indicator of the truth of p, yet, in S’s circumstances, M is not reliable: M is deleteriously rigged. A different sort of scenario involves rigging that restores the reliability of a method M that is deleteriously rigged: M is restoratively rigged. Some theorists criticize the safe indication account of knowledge defended by Luper, Sosa, and Williamson on the grounds that (...)
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  • Dretske on knowledge closure.Steven Luper - 2006 - Australasian Journal of Philosophy 84 (3):379 – 394.
    In early essays and in more recent work, Fred Dretske argues against the closure of perception, perceptual knowledge, and knowledge itself. In this essay I review his case and suggest that, in a useful sense, perception is closed, and that, while perceptual knowledge is not closed under entailment, perceptually based knowledge is closed, and so is knowledge itself. On my approach, which emphasizes the safe indication account of knowledge, we can both perceive, and know, that sceptical scenarios (such as being (...)
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  • Should we be skeptics or contextualists about counterfactual conditionals?Yael Loewenstein - 2021 - Philosophy Compass 16 (10).
    Just as knowledge contextualism offers a way out of knowledge skepticism in the face of powerful skeptical arguments, counterfactual contextualism purports to answer the many compelling arguments for the skeptical thesis that most ordinary counterfactuals of the form ‘if A had happened, C would have happened’, are false. In this article I review a few of the arguments for counterfactual skepticism, before surveying the various types of contextualist responses. I then discuss some of the recent objections to counterfactual contextualism, with (...)
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  • Counterpossibles for modal normativists.Theodore D. Locke - 2019 - Synthese 198 (2):1235-1257.
    Counterpossibles are counterfactuals that involve some metaphysical impossibility. Modal normativism is a non-descriptivist account of metaphysical necessity and possibility according to which modal claims, e.g. ‘necessarily, all bachelors are unmarried’, do not function as descriptive claims about the modal nature of reality but function as normative illustrations of constitutive rules and permissions that govern the use of ordinary non-modal vocabulary, e.g. ‘bachelor’. In this paper, I assume modal normativism and develop a novel account of counterpossibles and claims about metaphysical similarity (...)
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  • Special-science counterfactuals.Christian List - 2022 - The Monist 105 (2):194–213.
    On the standard analysis, a counterfactual conditional such as “If P had been the case, then Q would have been the case” is true in the actual world if, in all nearest possible worlds in which its antecedent (P) is true, its consequent (Q) is also true. Despite its elegance, this analysis faces a difficulty if the laws of nature are deterministic. Then the antecedent could not have been true, given prior conditions. So, it is unclear what the relevant “nearest (...)
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  • The Ramsey test revisited.Sten Lindström & Wlodek Rabinowicz - 1995 - In G. Crocco, L. Fariñas del Cerro & A. Herzig (eds.), Conditionals: From Philosophy to Computer Science. Oxford University Press. pp. 131-182.
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  • The Ramsey test revisited.Sten Lindström & Wlodzimierz Rabinowicz - 1992 - Theoria 58 (2-3):131-182.
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  • A Modal Condition for the Beginning of the Universe.Daniel Linford - forthcoming - Erkenntnis:1-33.
    This paper considers two problems -- one in philosophy of religion and another in philosophy of physics -- and shows that the two problems have one solution. Some Christian philosophers have endorsed the views that (i) there was a first finitely long period of time, (ii) God is in time, and yet (iii) God did not have a beginning. If there was a first finitely long period of time and God is in time then there was a first finitely long (...)
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  • Vague identity: Evans misunderstood.David K. Lewis - 1988 - Analysis 48 (3):128-130.
    In his note "can there be vague objects?" ("analysis", 1978), Gareth evans presents a purported proof that there can be no vague identity statements. Some readers think that evans endorses the proof and its false conclusion. Not so. His point is that those who put vagueness in the world, Rather than in language, Will have no way to fault the proof and no way to escape the false conclusion.
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  • Finkish dispositions.David Kellogg Lewis - 1997 - Philosophical Quarterly 47 (187):143-158.
    Many years ago, C.B. Martin drew our attention to the possibility of ‘finkish’ dispositions: dispositions which, if put to the test would not be manifested, but rather would disappear. Thus if x if finkishly disposed to give response r to stimulus s, it is not so that if x were subjected to stimulus r, x would give response z; so finkish dispositions afford a counter‐example to the simplest conditional analysis of dispositions. Martin went on to suggest that finkish dispositions required (...)
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  • Iteration of conditionals and the Ramsey test.Isaac Levi - 1988 - Synthese 76 (1):49 - 81.
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  • Varieties of commitment.Hans Lenk - 1978 - Theory and Decision 9 (1):17-37.
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  • Rewriting the History of Connexive Logic.Wolfgang Lenzen - 2022 - Journal of Philosophical Logic 51 (3):525-553.
    The “official” history of connexive logic was written in 2012 by Storrs McCall who argued that connexive logic was founded by ancient logicians like Aristotle, Chrysippus, and Boethius; that it was further developed by medieval logicians like Abelard, Kilwardby, and Paul of Venice; and that it was rediscovered in the 19th and twentieth century by Lewis Carroll, Hugh MacColl, Frank P. Ramsey, and Everett J. Nelson. From 1960 onwards, connexive logic was finally transformed into non-classical calculi which partly concur with (...)
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  • Action Models for Conditionals.Jeremy Lent & Richmond H. Thomason - 2015 - Journal of Logic, Language and Information 24 (2):211-231.
    Possible worlds semantics for conditionals leave open the problem of how to construct models for realistic domains. In this paper, we show how to adapt logics of action and change such as John McCarthy’s Situation Calculus to conditional logics. We illustrate the idea by presenting models for conditionals whose antecedents combine a declarative condition with a hypothetical action.
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  • On the Ramsey Test without Triviality.Hannes Leitgeb - 2010 - Notre Dame Journal of Formal Logic 51 (1):21-54.
    We present a way of classifying the logically possible ways out of Gärdenfors' inconsistency or triviality result on belief revision with conditionals. For one of these ways—conditionals which are not descriptive but which only have an inferential role as being given by the Ramsey test—we determine which of the assumptions in three different versions of Gärdenfors' theorem turn out to be false. This is done by constructing ranked models in which such Ramsey-test conditionals are evaluated and which are subject to (...)
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  • The progressive.Fred Landman - 1992 - Natural Language Semantics 1 (1):1-32.
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  • A Counterfactual Analysis of the Concepts of Logical Truth and Necessity.Marc Lange - 2005 - Philosophical Studies 125 (3):277-303.
    This paper analyzes the logical truths as (very roughly) those truths that would still have been true under a certain range of counterfactual perturbations.What’s nice is that the relevant range is characterized without relying (overtly, at least) upon the notion of logical truth. This approach suggests a conception of necessity that explains what the different varieties of necessity (logical, physical, etc.) have in common, in virtue of which they are all varieties of necessity. However, this approach places the counterfactual conditionals (...)
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  • Wierenga on theism and counterpossibles.Fabio Lampert - 2019 - Philosophical Studies 176 (3):693-707.
    Several theists, including Linda Zagzebski, have claimed that theism is somehow committed to nonvacuism about counterpossibles. Even though Zagzebski herself has rejected vacuism, she has offered an argument in favour of it, which Edward Wierenga has defended as providing strong support for vacuism that is independent of the orthodox semantics for counterfactuals, mainly developed by David Lewis and Robert Stalnaker. In this paper I show that argument to be sound only relative to the orthodox semantics, which entails vacuism, and give (...)
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  • Counterfactuals, counteractuals, and free choice.Fabio Lampert & Pedro Merlussi - 2021 - Philosophical Studies 178 (2):445-469.
    In a recent paper, Pruss proves the validity of the rule beta-2 relative to Lewis’s semantics for counterfactuals, which is a significant step forward in the debate about the consequence argument. Yet, we believe there remain intuitive counter-examples to beta-2 formulated with the actuality operator and rigidified descriptions. We offer a novel and two-dimensional formulation of the Lewisian semantics for counterfactuals and prove the validity of a new transfer rule according to which a new version of the consequence argument can (...)
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  • Spatial ontology and physical modalities.Hugh M. Lacey & Elizabeth Anderson - 1980 - Philosophical Studies 38 (3):261 - 285.
    Most relational theories assert both that spatial discourse is reducible to talk about physical objects and their spatial relations, and that the relation of congruence derives from a non-metrical relation which intervals bear or possibly bear to measuring instruments. We have shown that there are serious logical difficulties involved in maintaining both these positions and the thesis of the continuity of space. We have also shown that Grünbaum's motivating argument for the reduction of congruence is unsound, and, moreover, that the (...)
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  • Counterfactuals.Igal Kvart - 1992 - Erkenntnis 36 (2):139 - 179.
    In this article I offer an approach to counterfactuals based on a notion of objective probability. It is in the spirit of, though it does not fall squarely under, the metalinguistic model. Thus, it is not developed in terms of possible worlds, or notions parasitic on them (e.g., similarity). Its dominant features are rooted in objective probability and causal relevance (analyzed probabilistically), and thus it is not close in spirit to a maximal similarity or a minimal change approach.
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  • The entropy theory of counterfactuals.Douglas N. Kutach - 2002 - Philosophy of Science 69 (1):82-104.
    I assess the thesis that counterfactual asymmetries are explained by an asymmetry of the global entropy at the temporal boundaries of the universe, by developing a method of evaluating counterfactuals that includes, as a background assumption, the low entropy of the early universe. The resulting theory attempts to vindicate the common practice of holding the past mostly fixed under counterfactual supposition while at the same time allowing the counterfactual's antecedent to obtain by a natural physical development. Although the theory has (...)
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  • Semantic analyses of normative concepts.Franz Kutschera - 1975 - Erkenntnis 9 (2):195-218.
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  • Oswald revisited: the effect of focus and context.Eugenia Kulakova & Stefan Rinner - 2022 - Synthese 200 (1):1-15.
    In this paper, we will present an analysis of the Oswald example that takes a closer look at the antecedents of the Oswald minimal pair. We will argue that diverging foci in the antecedents of the Oswald example result in different truth conditions of the conditionals, explaining the difference in truth values between the two sentences. Although the explanation will incorporate aspects of Stalnaker’s theory of conditionals, it will go beyond Stalnaker’s analysis of the Oswald example on one crucial point. (...)
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  • Gather / numerous as a mass/count opposition.Jeremy Kuhn - 2020 - Natural Language Semantics 28 (3):225-253.
    Predicates like gather and ones like be numerous have both been described as ‘collective predicates,’ since they predicate something of a plurality. The two classes of predicates differ, however, with respect to plural quantifiers, which are grammatical with gather-type predicates but ungrammatical with numerous-type predicates. Here, I show that the gather/numerous opposition derives from mereological properties that are familiar from the domains of telicity and mass/count. I address problems of undergeneration and overgeneration with two technical innovations: first, I weaken the (...)
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  • A metaphysical foundation for mathematical philosophy.Wójtowicz Krzysztof & Skowron Bartłomiej - 2022 - Synthese 200 (4):1-28.
    Although mathematical philosophy is flourishing today, it remains subject to criticism, especially from non-analytical philosophers. The main concern is that even if formal tools serve to clarify reasoning, they themselves contribute nothing new or relevant to philosophy. We defend mathematical philosophy against such concerns here by appealing to its metaphysical foundations. Our thesis is that mathematical philosophy can be founded on the phenomenological theory of ideas as developed by Roman Ingarden. From this platonist perspective, the “unreasonable effectiveness of mathematics in (...)
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  • Belief ascription and the Ramsey test.Karolina Krzyżanowska - 2013 - Synthese 190 (1):21-36.
    In this paper, I analyse a finding by Riggs and colleagues that there is a close connection between people’s ability to reason with counterfactual conditionals and their capacity to attribute false beliefs to others. The result indicates that both processes may be governed by one cognitive mechanism, though false belief attribution seems to be slightly more cognitively demanding. Given that the common denominator for both processes is suggested to be a form of the Ramsey test, I investigate whether Stalnaker’s semantic (...)
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  • Between a conditional’s antecedent and its consequent: Discourse coherence vs. probabilistic relevance.Karolina Krzyżanowska, Peter J. Collins & Ulrike Hahn - 2017 - Cognition 164 (C):199-205.
    Reasoning with conditionals is central to everyday life, yet there is long-standing disagreement about the meaning of the conditional. One example is the puzzle of so-called missing-link conditionals such as "if raccoons have no wings, they cannot breathe under water." Their oddity may be taken to show that conditionals require a connection between antecedent ("raccoons have no wings") and consequent ("they cannot breathe under water"), yet most accounts of conditionals attribute the oddity to natural language pragmatics. We present an experimental (...)
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  • Mighty Belief Revision.Stephan Krämer - 2022 - Journal of Philosophical Logic 51 (5):1175-1213.
    Belief revision theories standardly endorse a principle of intensionality to the effect that ideal doxastic agents do not discriminate between pieces of information that are equivalent within classical logic. I argue that this principle should be rejected. Its failure, on my view, does not require failures of logical omniscience on the part of the agent, but results from a view of the update as _mighty_: as encoding what the agent learns might be the case, as well as what must be. (...)
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  • Nonmonotonic reasoning, preferential models and cumulative logics.Sarit Kraus, Daniel Lehmann & Menachem Magidor - 1990 - Artificial Intelligence 44 (1-2):167-207.
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  • An investigation of the lumps of thought.Angelika Kratzer - 1989 - Linguistics and Philosophy 12 (5):607 - 653.
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  • Teleology as higher-order causation: A situation-theoretic account.Robert C. Koons - 1998 - Minds and Machines 8 (4):559-585.
    Situation theory, as developed by Barwise and his collaborators, is used to demonstrate the possibility of defining teleology (and related notions, like that of proper or biological function) in terms of higher order causation, along the lines suggested by Taylor and Wright. This definition avoids the excessive narrowness that results from trying to define teleology in terms of evolutionary history or the effects of natural selection. By legitimating the concept of teleology, this definition also provides promising new avenues for solving (...)
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  • Profiting from poverty.Ole Koksvik & Gerhard Øverland - 2019 - Canadian Journal of Philosophy 49 (3):341-367.
    ABSTRACTWe consider whether and under what conditions it is morally illicit to profit from poverty. We argue that when profit counterfactually depends on poverty, the agent making the profit is morally obliged to relinquish it. Finally, we argue that the people to whom the profit should be redirected are those on whom it counterfactually depends.
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  • On the Substitution of Identicals in Counterfactual Reasoning.Alexander W. Kocurek - 2020 - Noûs 54 (3):600-631.
    It is widely held that counterfactuals, unlike attitude ascriptions, preserve the referential transparency of their constituents, i.e., that counterfactuals validate the substitution of identicals when their constituents do. The only putative counterexamples in the literature come from counterpossibles, i.e., counterfactuals with impossible antecedents. Advocates of counterpossibilism, i.e., the view that counterpossibles are not all vacuous, argue that counterpossibles can generate referential opacity. But in order to explain why most substitution inferences into counterfactuals seem valid, counterpossibilists also often maintain that counterfactuals (...)
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  • Logic talk.Alexander W. Kocurek - 2021 - Synthese 199 (5-6):13661-13688.
    Sentences about logic are often used to show that certain embedding expressions are hyperintensional. Yet it is not clear how to regiment “logic talk” in the object language so that it can be compositionally embedded under such expressions. In this paper, I develop a formal system called hyperlogic that is designed to do just that. I provide a hyperintensional semantics for hyperlogic that doesn’t appeal to logically impossible worlds, as traditionally understood, but instead uses a shiftable parameter that determines the (...)
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  • Counteridenticals.Alexander W. Kocurek - 2018 - The Philosophical Review 127 (3):323-369.
    A counteridentical is a counterfactual with an identity statement in the antecedent. While counteridenticals generally seem non-trivial, most semantic theories for counterfactuals, when combined with the necessity of identity and distinctness, attribute vacuous truth conditions to such counterfactuals. In light of this, one could try to save the orthodox theories either by appealing to pragmatics or by denying that the antecedents of alleged counteridenticals really contain identity claims. Or one could reject the orthodox theory of counterfactuals in favor of a (...)
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  • Counterpossibles.Alexander W. Kocurek - 2021 - Philosophy Compass 16 (11):e12787.
    A counterpossible is a counterfactual with an impossible antecedent. Counterpossibles present a puzzle for standard theories of counterfactuals, which predict that all counterpossibles are semantically vacuous. Moreover, counterpossibles play an important role in many debates within metaphysics and epistemology, including debates over grounding, causation, modality, mathematics, science, and even God. In this article, we will explore various positions on counterpossibles as well as their potential philosophical consequences.
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  • Replies to Sullivan and Lange.Boris Kment - 2015 - Philosophy and Phenomenological Research 91 (2):516-539.
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  • Précis of Modality and Explanatory Reasoning.Boris Kment - 2015 - Philosophy and Phenomenological Research 91 (2):489-498.
    The aim of Modality and Explanatory Reasoning (MER) is to shed light on metaphysical necessity and the broader class of modal properties to which it belongs. This topic is approached with two goals: to develop a new and reductive analysis of modality, and to understand the purpose and origin of modal thought. I argue that a proper understanding of modality requires us to reconceptualize its relationship to causation and other forms of explanation such as grounding, a relation that connects metaphysically (...)
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  • Counterfactuals and the analysis of necessity.Boris Kment - 2006 - Philosophical Perspectives 20 (1):237–302.
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  • Counterfactuals and explanation.Boris Kment - 2006 - Mind 115 (458):261-310.
    On the received view, counterfactuals are analysed using the concept of closeness between possible worlds: the counterfactual 'If it had been the case that p, then it would have been the case that q' is true at a world w just in case q is true at all the possible p-worlds closest to w. The degree of closeness between two worlds is usually thought to be determined by weighting different respects of similarity between them. The question I consider in the (...)
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