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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. 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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  • Molinism: Explaining our Freedom Away.Nevin Climenhaga & Daniel Rubio - 2022 - Mind 131 (522):459-485.
    Molinists hold that there are contingently true counterfactuals about what agents would do if put in specific circumstances, that God knows these prior to creation, and that God uses this knowledge in choosing how to create. In this essay we critique Molinism, arguing that if these theses were true, agents would not be free. Consider Eve’s sinning upon being tempted by a serpent. We argue that if Molinism is true, then there is some set of facts that fully explains both (...)
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  • Nonlocal Influences and Possible Worlds—A Stapp in the Wrong Direction.Robert K. Clifton, Jeremy N. Butterfield & Michael L. G. Redhead - 1990 - British Journal for the Philosophy of Science 41 (1):5-58.
    give a proof of the existence of nonlocal influences acting on correlated spin-1/2 particles in the singlet state which does not require any particular interpretation of quantum mechanics (QM). (Except Stapp holds that the proof fails under a many-worlds interpretation of QM—a claim we analyse in 1.2.) Recently, in responding to Redhead's ([1987], pp. 90-6) criticism that the Stapp 1 proof fails under an indeterministic interpretation of QM, Stapp [1989] (henceforth Stapp 2), has revised the logical structure of his proof (...)
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  • Two switches in the theory of counterfactuals: A study of truth conditionality and minimal change.Ivano Ciardelli, Linmin Zhang & Lucas Champollion - 2018 - Linguistics and Philosophy (6).
    Based on a crowdsourced truth value judgment experiment, we provide empirical evidence challenging two classical views in semantics, and we develop a novel account of counterfactuals that combines ideas from inquisitive semantics and causal reasoning. First, we show that two truth-conditionally equivalent clauses can make different semantic contributions when embedded in a counterfactual antecedent. Assuming compositionality, this means that the meaning of these clauses is not fully determined by their truth conditions. This finding has a clear explanation in inquisitive semantics: (...)
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  • Indicative Conditionals and Graded Information.Ivano Ciardelli - 2020 - Journal of Philosophical Logic 49 (3):509-549.
    I propose an account of indicative conditionals that combines features of minimal change semantics and information semantics. As in information semantics, conditionals are interpreted relative to an information state in accordance with the Ramsey test idea: “if p then q” is supported at a state s iff q is supported at the hypothetical state s[p] obtained by restricting s to the p-worlds. However, information states are not modeled as simple sets of worlds, but by means of a Lewisian system of (...)
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  • Intuitionistic Conditional Logics.Ivano Ciardelli & Xinghan Liu - 2020 - Journal of Philosophical Logic 49 (4):807-832.
    Building on recent work by Yale Weiss, we study conditional logics in the intuitionistic setting. We consider a number of semantic conditions which give rise, among others, to intuitionistic counterparts of Lewis’s logic VC and Stalnaker’s C2. We show how to obtain a sound and complete axiomatization of each logic arising from a combination of these conditions. On the way, we remark how, in the intuitionistic setting, certain classically equivalent principles of conditional logic come apart, and how certain logical connections (...)
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  • Causal Reasoning and Meno’s Paradox.Melvin Chen & Lock Yue Chew - 2020 - AI and Society:1-9.
    Causal reasoning is an aspect of learning, reasoning, and decision-making that involves the cognitive ability to discover relationships between causal relata, learn and understand these causal relationships, and make use of this causal knowledge in prediction, explanation, decision-making, and reasoning in terms of counterfactuals. Can we fully automate causal reasoning? One might feel inclined, on the basis of certain groundbreaking advances in causal epistemology, to reply in the affirmative. The aim of this paper is to demonstrate that one still has (...)
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  • Basic conditional logic.Brian F. Chellas - 1975 - Journal of Philosophical Logic 4 (2):133 - 153.
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  • What we know and what to do.Nate Charlow - 2013 - Synthese 190 (12):2291-2323.
    This paper discusses an important puzzle about the semantics of indicative conditionals and deontic necessity modals (should, ought, etc.): the Miner Puzzle (Parfit, ms; Kolodny and MacFarlane, J Philos 107:115–143, 2010). Rejecting modus ponens for the indicative conditional, as others have proposed, seems to solve a version of the puzzle, but is actually orthogonal to the puzzle itself. In fact, I prove that the puzzle arises for a variety of sophisticated analyses of the truth-conditions of indicative conditionals. A comprehensive solution (...)
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  • Memory, Knowledge, and Epistemic Luck.Changsheng Lai - 2022 - Philosophical Quarterly 72 (4):896-917.
    Does ‘remembering that p’ entail ‘knowing that p’? The widely-accepted epistemic theory of memory answers affirmatively. This paper purports to reveal the tension between ETM and the prevailing anti-luck epistemology. Central to my argument is the fact that we often ‘vaguely remember’ a fact, of which one plausible interpretation is that our true memory-based beliefs formed in this way could easily have been false. Drawing on prominent theories of misremembering in philosophy of psychology, I will construct cases where the subject (...)
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  • Logic and Semantics for Imperatives.Nate Charlow - 2014 - Journal of Philosophical Logic 43 (4):617-664.
    In this paper I will develop a view about the semantics of imperatives, which I term Modal Noncognitivism, on which imperatives might be said to have truth conditions (dispositionally, anyway), but on which it does not make sense to see them as expressing propositions (hence does not make sense to ascribe to them truth or falsity). This view stands against “Cognitivist” accounts of the semantics of imperatives, on which imperatives are claimed to express propositions, which are then enlisted in explanations (...)
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  • Defeasible linear temporal logic.Anasse Chafik, Fahima Cheikh-Alili, Jean-François Condotta & Ivan Varzinczak - 2023 - Journal of Applied Non-Classical Logics 33 (1):1-51.
    After the seminal work of Kraus, Lehmann and Magidor (formally known as the KLM approach) on conditionals and preferential models, many aspects of defeasibility in more complex formalisms have been studied in recent years. Examples of these aspects are the notion of typicality in description logic and defeasible necessity in modal logic. We discuss a new aspect of defeasibility that can be expressed in the case of temporal logic, which is the normality in an execution. In this contribution, we take (...)
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  • Conditional preferences and practical conditionals.Nate Charlow - 2013 - Linguistics and Philosophy 36 (6):463-511.
    I argue that taking the Practical Conditionals Thesis seriously demands a new understanding of the semantics of such conditionals. Practical Conditionals Thesis: A practical conditional [if A][ought] expresses B’s conditional preferability given A Paul Weirich has argued that the conditional utility of a state of affairs B on A is to be identified as the degree to which it is desired under indicative supposition that A. Similarly, exploiting the PCT, I will argue that the proper analysis of indicative practical conditionals (...)
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  • Will done Better: Selection Semantics, Future Credence, and Indeterminacy.Fabrizio Cariani & Paolo Santorio - 2018 - Mind 127 (505):129-165.
    Statements about the future are central in everyday conversation and reasoning. How should we understand their meaning? The received view among philosophers treats will as a tense: in ‘Cynthia will pass her exam’, will shifts the reference time forward. Linguists, however, have produced substantial evidence for the view that will is a modal, on a par with must and would. The different accounts are designed to satisfy different theoretical constraints, apparently pulling in opposite directions. We show that these constraints are (...)
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  • The Single-minded Pursuit of Consistency and its Weakness.Walter Carnielli - 2011 - Studia Logica 97 (1):81 - 100.
    I argue that a compulsive seeking for just one sense of consistency is hazardous to rationality, and that observing the subtle distinctions of reasonableness between individual and groups may suggest wider, structuralistic notions of consistency, even relevant to re-assessing Gödei's Second Incompleteness Theorem and to science as a whole.
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  • Should God believe the Liar? A non-dialetheist paraconsistent approach to God’s Omniscience.Guilherme Araújo Cardoso & Sérgio Ricardo Neves de Miranda - 2021 - Manuscrito 44 (4):518-563.
    In this paper, we discuss a family of arguments that show the inconsistency of the concept of omniscience, which is one of the central attributes of the theistic God. We introduce three member of this family: Grim’s Divine Liar Paradox, Milne’s Paradox and our own Divine Curry. They can be seen as theological counterparts of well-known semantic paradoxes. We argue that the very simple dialetheist response to these paradoxes doesn’t work well and then introduce our own response based on a (...)
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  • Perceptual knowledge and relevant alternatives.J. Adam Carter & Duncan Pritchard - 2016 - Philosophical Studies 173 (4):969-990.
    A very natural view about perceptual knowledge is articulated, one on which perceptual knowledge is closely related to perceptual discrimination, and which fits well with a relevant alternatives account of knowledge. It is shown that this kind of proposal faces a problem, and various options for resolving this difficulty are explored. In light of this discussion, a two-tiered relevant alternatives account of perceptual knowledge is offered which avoids the closure problem. It is further shown how this proposal can: accommodate our (...)
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  • On two arguments for the indeterminacy of personal identity.Helen Morris Cartwright - 1993 - Synthese 95 (2):241-273.
    Both arguments are based on the breakdown of normal criteria of identity in certain science-fictional circumstances. In one case, normal criteria would support the identity of person A with each of two other persons, B and C; and it is argued that, in the imagined circumstances, A=B and A=C have no truth value. In the other, a series or spectrum of cases is tailored to a sorites argument. At one end of the spectrum, persons A and B are such that (...)
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  • Conditional Heresies.Fabrizio Cariani & Simon Goldstein - 2018 - Philosophy and Phenomenological Research (2):251-282.
    Philosophy and Phenomenological Research, EarlyView.
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