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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. Hic Rhodos, hic salta: From reductionist semantics to a realist ontology of forceful dispositions.Markus Schrenk - 2009 - In G. Damschen, K. Stueber & R. Schnepf (eds.), Debating Dispositions: Issues in Metaphysics, Epistemology and Philosophy of Mind. De Gruyter. pp. 143-167.
    It is widely believed that at least two developments in the last third of the 20th century have given dispositionalism—the view that powers, capacities, potencies, etc. are irreducible real properties—new credibility: (i) the many counterexamples launched against reductive analyses of dispositional predicates in terms of counterfactual conditionals and (ii) a new anti-Humean faith in necessary connections in nature which, it is said, owes a lot to Kripke’s arguments surrounding metaphysical necessity. I aim to show in this paper that necessity is, (...)
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  • Modal skepticism and counterfactual knowledge.Juhani Yli-Vakkuri - 2013 - Philosophical Studies 162 (3):605-623.
    Abstract Timothy Williamson has recently proposed to undermine modal skepticism by appealing to the reducibility of modal to counterfactual logic ( Reducibility ). Central to Williamson’s strategy is the claim that use of the same non-deductive mode of inference ( counterfactual development , or CD ) whereby we typically arrive at knowledge of counterfactuals suffices for arriving at knowledge of metaphysical necessity via Reducibility. Granting Reducibility, I ask whether the use of CD plays any essential role in a Reducibility-based reply (...)
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  • The Use and Misuse of Counterfactuals in Ethical Machine Learning.Atoosa Kasirzadeh & Andrew Smart - 2021 - In Atoosa Kasirzadeh & Andrew Smart (eds.), ACM Conference on Fairness, Accountability, and Transparency (FAccT 21).
    The use of counterfactuals for considerations of algorithmic fairness and explainability is gaining prominence within the machine learning community and industry. This paper argues for more caution with the use of counterfactuals when the facts to be considered are social categories such as race or gender. We review a broad body of papers from philosophy and social sciences on social ontology and the semantics of counterfactuals, and we conclude that the counterfactual approach in machine learning fairness and social explainability can (...)
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  • Modal Quantification Without Worlds.Billy Dunaway - 2013 - In Karen Bennett & Dean W. Zimmerman (eds.), Oxford Studies in Metaphysics, Volume 8. Oxford: Oxford University Press. pp. 151-186.
    This paper is about avoiding commitment to an ontology of possible worlds with two primitives: a hyperintensional connective like ‘in virtue of’, and primitive quantification into predicate position. I argue that these tools (which some believe can be independently motivated) render dispensable the ontology of possible worlds needed by traditional anaylses of modality. They also shed new light on the notion of truth-at-a-world.
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  • Experimenting with (Conditional) Perfection.Fabrizio Cariani & Lance J. Rips - forthcoming - In Stefan Kaufmann, David Over & Ghanshyam Sharma (eds.), Conditionals: Logic, Semantics, Psychology.
    Conditional perfection is the phenomenon in which conditionals are strengthened to biconditionals. In some contexts, “If A, B” is understood as if it meant “A if and only if B.” We present and discuss a series of experiments designed to test one of the most promising pragmatic accounts of conditional perfection. This is the idea that conditional perfection is a form of exhaustification—that is a strengthening to an exhaustive reading, triggered by a question that the conditional answers. If a speaker (...)
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  • Debunking Debunked? : Challenges, Prospects, and the Threat of Self-Defeat.Conrad Bakka - 2023 - Dissertation, Stockholm University
    Metaethical debunking arguments often conclude that no moral belief is epistemically justified. Early versions of such arguments largely relied on metaphors and analogies and left the epistemology of debunking underspecified. Debunkers have since come to take on substantial and broad-ranging epistemological commitments. The plausibility of metaethical debunking has thereby become entangled in thorny epistemological issues. In this thesis, I provide a critical yet sympathetic evaluation of the prospects and challenges facing such arguments in light of this development. In doing so, (...)
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  • Actual Control - Demodalising Free Will.David Heering - 2020 - Dissertation, University of Leeds
    Plausibly, agents act freely iff their actions are responses to reasons. But what sort of relationship between reason and action is required for the action to count as a response? The overwhelmingly dominant answer to this question is modalist. It holds that responses are actions that share a modally robust or secure relationship with the relevant reasons. This thesis offers a new alternative answer. It argues that responses are actions that can be explained by reasons in the right way. This (...)
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  • Suppose and Tell: The Semantics and Heuristics of Conditionals: Timothy Williamson. Oxford: Oxford University Press, 2020. viii + 278 pp. £30.00. ISBN 978-0-19-886066-2.Dorothy Edgington - 2021 - History and Philosophy of Logic 43 (2):188-195.
    Conditional judgements—judgements employing ‘if’—are essential to practical reasoning about what to do, as well as to much reasoning about what is the case. We handle them well enough from an early...
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  • A Modal Logic and Hyperintensional Semantics for Gödelian Intuition.David Elohim - manuscript
    This essay aims to provide a modal logic for rational intuition. Similarly to treatments of the property of knowledge in epistemic logic, I argue that rational intuition can be codified by a modal operator governed by the modal $\mu$-calculus. Via correspondence results between fixed point modal propositional logic and the bisimulation-invariant fragment of monadic second-order logic, a precise translation can then be provided between the notion of 'intuition-of', i.e., the cognitive phenomenal properties of thoughts, and the modal operators regimenting the (...)
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  • Axiomatization in the meaning sciences.Wesley H. Holliday & Thomas Icard - 2018 - In Derek Ball & Brian Rabern (eds.), The Science of Meaning: Essays on the Metatheory of Natural Language Semantics. Oxford: Oxford University Press. pp. 73-97.
    While much of semantic theorizing is based on intuitions about logical phenomena associated with linguistic constructions—phenomena such as consistency and entailment—it is rare to see axiomatic treatments of linguistic fragments. Given a fragment interpreted in some class of formally specified models, it is often possible to ask for a characterization of the reasoning patterns validated by the class of models. Axiomatizations provide such a characterization, often in a perspicuous and efficient manner. In this paper, we highlight some of the benefits (...)
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  • Semantic gaps and protosemantics.Benj Hellie - 2019 - In J. Acacio de Barros & Carlos Montemayor (eds.), Quanta and Mind: Essays on the Connection Between Quantum Mechanics and Consciousness. Springer Verlag.
    Semantic gaps between physical and mental discourse include the 'explanatory', 'epistemic' (Black-and-White Mary), and 'suppositional' (zombies) gaps; protosemantics is concerned with what is fundamental to meaning. Our tradition presupposes a truth-based protosemantics, with disastrous consequences for interpreting the semantic gaps: nonphysicalism, epiphenomenalism, separatism. Fortunately, an endorsement-based protosemantics, recentering meaning from the world to the mind, is technically viable, intuitively more plausible, and empirically more adequate. But, of present significance, it makes room for interpreting mental discourse as expressing simulations: this blocks (...)
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  • Adaptively applying modus ponens in conditional logics of normality.Christian Straßer - 2012 - Journal of Applied Non-Classical Logics 22 (1):125-148.
    This paper presents an adaptive logic enhancement of conditional logics of normality that allows for defeasible applications of Modus Ponens to conditionals. In addition to the possibilities these logics already offer in terms of reasoning about conditionals, this way they are enriched by the ability to perform default inferencing. The idea is to apply Modus Ponens defeasibly to a conditional and a fact on the condition that it is ‘safe' to do so concerning the factual and conditional knowledge at hand. (...)
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  • Possible worlds I: Modal realism.Louis DeRosset - 2009 - Philosophy Compass 4 (6):998-1008.
    It is difficult to wander far in contemporary metaphysics without bumping into talk of possible worlds. And reference to possible worlds is not confined to metaphysics. It can be found in contemporary epistemology and ethics, and has even made its way into linguistics and decision theory. What are those possible worlds, the entities to which theorists in these disciplines all appeal? This paper sets out and evaluates a leading contemporary theory of possible worlds, David Lewis's Modal Realism. I note two (...)
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  • On first-order conditional logics.James P. Delgrande - 1998 - Artificial Intelligence 105 (1-2):105-137.
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  • Compiling specificity into approaches to nonmonotonic reasoning.James P. Delgrande & Torsten H. Schaub - 1997 - Artificial Intelligence 90 (1-2):301-348.
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  • A first-order conditional logic for prototypical properties.James P. Delgrande - 1987 - Artificial Intelligence 33 (1):105-130.
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  • A formal analysis of relevance.James P. Delgrande & Francis Jeffry Pelletier - 1998 - Erkenntnis 49 (2):137-173.
    We investigate the notion of relevance as it pertains to ‘commonsense’, subjunctive conditionals. Relevance is taken here as a relation between a property (such as having a broken wing) and a conditional (such as birds typically fly). Specifically, we explore a notion of ‘causative’ relevance, distinct from ‘evidential’ relevance found, for example, in probabilistic approaches. A series of postulates characterising a minimal, parsimonious concept of relevance is developed. Along the way we argue that no purely logical account of relevance (even (...)
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  • A Modal Criterion for Epistemic Argumentation.Job de Grefte - 2022 - Informal Logic 42 (2):389-415.
    In this paper, I spell out and argue for a new epistemic theory of argumentation. Contrary to extant views, this theory is compatible with a pluralistic framework on argumentation, where the norms governing argumentation depend on the aim with which we engage in the practice. A domain of specifically epistemic argumentation is singled out, and I argue based on recent findings in modal epistemology that this domain is governed by the modal norm of safety; where a belief is safe just (...)
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  • Assertions and future tense semantics.Ciro De Florio & Aldo Frigerio - 2021 - Synthese 199 (1-2):4729-4747.
    Non-bivalent semantics of the future tense assert that propositions regarding future contingents are neither true nor false. One of the most relevant non-bivalent semantics is supervaluationism :264–281, 1970; Thomason, in: Gabbay, Guenthner Handbook of philosophical logic, Springer, Berlin, 1984), which preserves important logical principles. Recently, non-bivalent semantics are under attack from some pragmatics arguments: these semantics would be incompatible with our practices of asserting future contingents and with the probability we ascribe to such assertions :251–271, 2014; Cariani and Santorio in (...)
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  • Conditional obligation and counterfactuals.Judith Wagner Decew - 1981 - Journal of Philosophical Logic 10 (1):55 - 72.
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  • Conciliation and Self-incrimination.Jason Decker - 2014 - Erkenntnis 79 (5):1099-1134.
    Conciliationism is a view—well, a family of views—in the epistemology of disagreement. The idea, simply put, is that, in a wide range of cases where you find yourself in disagreement with another reasoner about the truth of some proposition, you are rationally obliged to adjust your credence in the direction of hers. Conciliationism enjoys a fair bit of prima facie plausibility. Most versions of it, however, suffer from a common (and rather obvious) problem: self-incrimination. Although there is some recognition in (...)
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  • Perceived similarity of imagined possible worlds affects judgments of counterfactual plausibility.Felipe De Brigard, Paul Henne & Matthew L. Stanley - 2021 - Cognition 209 (C):104574.
    People frequently entertain counterfactual thoughts, or mental simulations about alternative ways the world could have been. But the perceived plausibility of those counterfactual thoughts varies widely. The current article interfaces research in the philosophy and semantics of counterfactual statements with the psychology of mental simulations, and it explores the role of perceived similarity in judgments of counterfactual plausibility. We report results from seven studies (N = 6405) jointly supporting three interconnected claims. First, the perceived plausibility of a counterfactual event is (...)
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  • The Modal Moving Spotlight Theory.Daniel Deasy - 2022 - Mind 131 (524):1195-1215.
    Say that the Moving Spotlight Theory (MST) combines the following three theses: A-THEORY : There is an absolute distinction between present and non-present time.
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  • The Semantics of Actuality Terms: Indexical vs. Descriptive Theories.Wayne A. Davis - 2013 - Noûs 49 (3):470-503.
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  • Policy Externalism.Daniel Drucker - 2017 - Philosophy and Phenomenological Research 94 (3).
    I develop and argue for a kind of externalism about certain kinds of non-doxastic attitudes that I call policy externalism. Policy externalism about a given type of attitude is the view that all the reasonable policies for having attitudes of that type will not involve the agent's beliefs that some relevant conditions obtain. My defense primarily involves attitudes like hatred, regret, and admiration, and has two parts: a direct deductive argument and an indirect linguistic argument, an inference to the best (...)
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  • From Epistemic Norms to Logical Rules: Epistemic Models for Logical Expressivists.Niklas Dahl - 2023 - Journal of Philosophical Logic 52 (6):1517-1533.
    In this paper I construct a system of semantics for classical and intuitionistic propositional logic based on epistemic norms governing belief expansion. Working in the AGM-framework of belief change, I give a generalisation of Gärdenfors’ notion of belief systems which can be defined without reference to a logical consequence operator by using a version of the Ramsey Test. These belief expansion systems can then be used to define epistemic models which are sound and complete for either classical or intuitionistic propositional (...)
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  • The Evidential Conditional.Vincenzo Crupi & Andrea Iacona - 2022 - Erkenntnis 87 (6):2897-2921.
    This paper outlines an account of conditionals, the evidential account, which rests on the idea that a conditional is true just in case its antecedent supports its consequent. As we will show, the evidential account exhibits some distinctive logical features that deserve careful consideration. On the one hand, it departs from the material reading of ‘if then’ exactly in the way we would like it to depart from that reading. On the other, it significantly differs from the non-material accounts which (...)
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  • Outline of a Theory of Reasons.Vincenzo Crupi & Andrea Iacona - 2023 - Philosophical Quarterly 73 (1):117-142.
    This paper investigates the logic of reasons. Its aim is to provide an analysis of the sentences of the form ‘p is a reason for q’ that yields a coherent account of their logical properties. The idea that we will develop is that ‘p is a reason for q’ is acceptable just in case a suitably defined relation of incompatibility obtains between p and ¬q. As we will suggest, a theory of reasons based on this idea can solve three challenging (...)
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  • On the Logical Form of Concessive Conditionals.Vincenzo Crupi & Andrea Iacona - 2022 - Journal of Philosophical Logic 51 (3):633-651.
    This paper outlines an account of concessive conditionals that rests on two main ideas. One is that the logical form of a sentence as used in a given context is determined by the content expressed by the sentence in that context. The other is that a coherent distinction can be drawn between a reading of ‘if’ according to which a conditional is true when its consequent holds on the supposition that its antecedent holds, and a stronger reading according to which (...)
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  • Explaining Away, Augmentation, and the Assumption of Independence.Nicole Cruz, Ulrike Hahn, Norman Fenton & David Lagnado - 2020 - Frontiers in Psychology 11.
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  • Bayesian reasoning with ifs and ands and ors.Nicole Cruz, Jean Baratgin, Mike Oaksford & David E. Over - 2015 - Frontiers in Psychology 6.
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  • Every Proposition is a Counterfactual.Charles B. Cross - 2016 - Acta Analytica 31 (2):117-137.
    I present and discuss two logical results. The first shows that a non-trivial counterfactual analysis exists for any contingent proposition that is false in at least two possible worlds. The second result identifies a set of conditions that are individually necessary and jointly sufficient for the success of a counterfactual analysis. I use these results to shed light on the question whether disposition ascribing propositions can be analyzed as Stalnaker-Lewis conditional propositions. The answer is that they can, but, in order (...)
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  • Conditional logic and the significance of Tooleys example.Charles B. Cross - 2006 - Analysis 66 (4):325–335.
    In "Backward causation and the Stalnaker-Lewis approach to counterfactuals," Analysis 62 (2002): 191–97, Michael Tooley argues that if a certain kind of backward causation is possible, then a Stalnaker-Lewis style comparative world similarity account of the truth conditions of counterfactuals cannot be sound. Tooley’s target is one particular type of semantics, but, as I show, the significance of Tooley’s example goes well beyond its consequences for any one semantics for the conditional.
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  • Conditional excluded middle.Charles B. Cross - 2009 - Erkenntnis 70 (2):173-188.
    In this essay I renew the case for Conditional Excluded Middle (CXM) in light of recent developments in the semantics of the subjunctive conditional. I argue that Michael Tooley’s recent backward causation counterexample to the Stalnaker-Lewis comparative world similarity semantics undermines the strongest argument against CXM, and I offer a new, principled argument for the validity of CXM that is in no way undermined by Tooley’s counterexample. Finally, I formulate a simple semantics for the subjunctive conditional that is consistent with (...)
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  • Conditional Excluded Middle.Charles B. Cross - 2009 - Erkenntnis 70 (2):173-188.
    In this essay I renew the case for Conditional Excluded Middle in light of recent developments in the semantics of the subjunctive conditional. I argue that Michael Tooley's recent backward causation counterexample to the Stalnaker-Lewis comparative world similarity semantics undermines the strongest argument against CXM, and I offer a new, principled argument for the validity of CXM that is in no way undermined by Tooley's counterexample. Finally, I formulate a simple semantics for the subjunctive conditional that is consistent with both (...)
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  • 'Can' and the logic of ability.Charles B. Cross - 1986 - Philosophical Studies 50 (1):53-64.
    A selection function based semantics is offered for the 'can' of ability based on the idea that 'John can run a four minute mile' is true iff John would do so under the right conditions, meaning that he would do so under at least one appropriately chosen test condition. Completeness is proved for an axiom system and semantics based on this idea, and the logic turns out to be interestingly different from any standard system of modal logic.
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  • Antecedent-Relative Comparative World Similarity.Charles B. Cross - 2008 - Journal of Philosophical Logic 37 (2):101-120.
    In “Backward Causation and the Stalnaker–Lewis Approach to Counterfactuals,” Analysis 62:191–7, (2002), Michael Tooley argues that if a certain kind of backward causation is possible, then a Stalnaker–Lewis comparative world similarity account of the truth conditions of counterfactuals cannot be sound. In “Tooley on Backward Causation,” Analysis 63:157–62, (2003), Paul Noordhof argues that Tooley’s example can be reconciled with a Stalnaker–Lewis account of counterfactuals if the comparative world similarity relation on which the Stalnaker–Lewis account relies is allowed to be antecedent-relative. (...)
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  • Hyperintensional logic.M. J. Cresswell - 1975 - Studia Logica 34 (1):25 - 38.
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  • Adverbs and events.M. J. Cresswell - 1974 - Synthese 28 (3-4):455 - 481.
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  • Causal priority and causal conditionship.J. A. Cover - 1987 - Synthese 71 (1):19 - 36.
    Temporal analyses of causal directionality fail if causes needn't precede their effects. Certain well-known difficulties with alternative (non-temporal) analyses have, in recent accounts, been avoided by attending more carefully to the formal features of relations typically figuring in philosophical discussions of causation. I discuss here a representative of such accounts, offered by David Sanford, according to which a correct analysis of causal priority must issue from viewing the condition relation as nonsymmetrical. The theory is shown first to be an implicitly (...)
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  • Two notions of epistemic validity.Horacio Arló Costa & Isaac Levi - 1996 - Synthese 109 (2):217 - 262.
    How to accept a conditional? F. P. Ramsey proposed the following test in (Ramsey 1990).(RT) If A, then B must be accepted with respect to the current epistemic state iff the minimal hypothetical change of it needed to accept A also requires accepting B.
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  • The expressive power of circumscription.Tom Costello - 1998 - Artificial Intelligence 104 (1-2):313-329.
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  • From allostatic agents to counterfactual cognisers: active inference, biological regulation, and the origins of cognition.Andrew W. Corcoran, Giovanni Pezzulo & Jakob Hohwy - 2020 - Biology and Philosophy 35 (3):1-45.
    What is the function of cognition? On one influential account, cognition evolved to co-ordinate behaviour with environmental change or complexity. Liberal interpretations of this view ascribe cognition to an extraordinarily broad set of biological systems—even bacteria, which modulate their activity in response to salient external cues, would seem to qualify as cognitive agents. However, equating cognition with adaptive flexibility per se glosses over important distinctions in the way biological organisms deal with environmental complexity. Drawing on contemporary advances in theoretical biology (...)
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  • Abilities, freedom, and inputs: a time traveller's tale.Olivia Coombes - 2023 - Dissertation, University of Edinburgh
    The philosophy of time travel is a sub-field of metaphysics – the study of what there is and what things are like – that considers questions about the possibility of time travel and what a world in which time travel is possible looks like. These questions range from whether time travel is actually possible, to how time travellers can act in the past or future. This thesis delves into a particularly interesting, yet historically undertreated theme: the abilities of time travellers (...)
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  • Knowledge and Subjunctive Conditionals.Juan Comesaña - 2007 - Philosophy Compass 2 (6):781-791.
    What relation must hold between a fact p and the corresponding belief that p for the belief to amount to knowledge? Many authors have recently proposed that the relation can be captured by subjunctive conditionals. In this paper I critically evaluate the main proposals along those lines.
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  • Towards an Account of Epistemic Luck for Necessary Truths.James Henry Collin - 2018 - Acta Analytica 33 (4):483-504.
    Modal epistemologists parse modal conditions on knowledge in terms of metaphysical possibilities or ways the world might have been. This is problematic. Understanding modal conditions on knowledge this way has made modal epistemology, as currently worked out, unable to account for epistemic luck in the case of necessary truths, and unable to characterise widely discussed issues such as the problem of religious diversity and the perceived epistemological problem with knowledge of abstract objects. Moreover, there is reason to think that this (...)
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  • Sensitivity Theorists Aren’t Unhinged.James Henry Collin & Anthony Bolos - 2020 - Erkenntnis 87 (2):535-544.
    Despite its intrinsic plausibility, the sensitivity principle has remained deeply unpopular on the grounds that it violates an even more plausible closure principle. Here we show that sensitivity does not, in general, violate closure. Sensitivity only violates closure when combined with further auxiliary premises—regarding which of an agent’s commitments constitute that agent’s beliefs—which are optional for the sensitivity theorist.
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  • Necessary Suffering and Lewisian Theism.Matthew James Collier - 2022 - Sophia 61 (3):467-479.
    One can readily conceive of worlds of horrendous, gratuitous suffering. Moreover, such worlds seem possible. For classical theists, however, God, amongst other things, is perfectly good. So, the question arises: for classical theists are such evil worlds possible? Many classical theists have said no. This is the modal problem of evil. Herein, I discuss a related problem: the problem of evil worlds for Lewisian theism. Lewisian theism is the conjunction of Lewis’s modal realism and classical theism, and a leading Lewisian (...)
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  • Operators vs. quantifiers: the view from linguistics.Ariel Cohen - 2021 - Inquiry: An Interdisciplinary Journal of Philosophy 64 (5-6):564-592.
    ABSTRACT In several publications, François Recanati argues that time, world, location, and similar constituents are not arguments of the verb, although they do affect truth conditions. However, he points out that this fact does not decide the debate regarding whether these notions are represented as sentential operators variables bound by quantifiers, as both approaches can be made compatible with such non-arguments. He makes these points using philosophical arguments; in this paper I use linguistic evidence from a variety of languages. Specifically, (...)
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  • Tropes, Unmanifested Dispositions and Powerful Qualities.Ashley Coates - 2022 - Erkenntnis 87 (5):2143-2160.
    According to a well-known argument, originally due to David Armstrong, powers theory is objectionable, as it leads to a ‘Meinongian’ ontology on which some entities are real but do not actually exist. I argue here that the right conclusion to draw from this argument has thus far not been identified and that doing so has significant implications for powers theory. Specifically, I argue that the key consequence of the argument is that it provides substantial grounds for trope powers theorists, but (...)
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