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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. Set-Theoretic Dependence.John Wigglesworth - 2015 - Australasian Journal of Logic 12 (3):159-176.
    In this paper, we explore the idea that sets depend on, or are grounded in, their members. It is said that a set depends on each of its members, and not vice versa. Members do not depend on the sets that they belong to. We show that the intuitive modal truth conditions for dependence, given in terms of possible worlds, do not accurately capture asymmetric dependence relations between sets and their members. We extend the modal truth conditions to include impossible (...)
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  • Theism and counterpossibles.Edward Wierenga - 1998 - Philosophical Studies 89 (1):87-103.
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  • Intrinsic Maxima and Omnibenevolence.Edward Wierenga - 1979 - International Journal for Philosophy of Religion 10 (1):41 - 50.
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  • Political Ideals and the Feasibility Frontier.David Wiens - 2015 - Economics and Philosophy 31 (3):447-477.
    Recent methodological debates regarding the place of feasibility considerations in normative political theory are hindered for want of a rigorous model of the feasibility frontier. To address this shortfall, I present an analysis of feasibility that generalizes the economic concept of a production possibility frontier and then develop a rigorous model of the feasibility frontier using the familiar possible worlds technology. I then show that this model has significant methodological implications for political philosophy. On the Target View, a political ideal (...)
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  • Plenitude and necessarily unmanifested dispositions.Jonas Werner - 2021 - Thought: A Journal of Philosophy 10 (3):169-177.
    The principle of plenitude says that every material object coincides with abundantly many further objects that differ in their modal profiles. A necessarily unmanifested disposition is a disposition that necessarily does not manifest. This paper argues that if the principle of plenitude holds, then there are some necessarily unmanifested dispositions. These necessarily unmanifested dispositions will be argued to evade some objections against the cases of necessarily unmanifested dispositions put forward by Carrie Jenkins and Daniel Nolan.
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  • Judgment aggregation in nonmonotonic logic.Xuefeng Wen - 2018 - Synthese 195 (8):3651-3683.
    Judgment aggregation studies how to aggregate individual judgments on logically correlated propositions into collective judgments. Different logics can be used in judgment aggregation, for which Dietrich and Mongin have proposed a generalized model based on general logics. Despite its generality, however, all nonmonotonic logics are excluded from this model. This paper argues for using nonmonotonic logic in judgment aggregation. Then it generalizes Dietrich and Mongin’s model to incorporate a large class of nonmonotonic logics. This generalization broadens the theoretical boundaries of (...)
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  • Semantics for Counterpossibles.Yale Weiss - 2017 - Australasian Journal of Logic 14 (4):383-407.
    The object of this paper is to examine two approaches to giving non-vacuous truth conditions for counterpossibles, counterfactuals with impossible antecedents. I first develop modifications of a Lewis-style sphere semantics with impossible worlds. I argue that this approach sanctions intuitively invalid inferences and is supported by philosophically problematic foundations. I then develop modifications of certain ceteris paribus conditional logics with impossible worlds. Tableaux are given for each of these in an appendix and soundness and completeness results are proved. While certain (...)
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  • Connexive Extensions of Regular Conditional Logic.Yale Weiss - 2019 - Logic and Logical Philosophy 28 (3):611-627.
    The object of this paper is to examine half and full connexive extensions of the basic regular conditional logic CR. Extensions of this system are of interest because it is among the strongest well-known systems of conditional logic that can be augmented with connexive theses without inconsistency resulting. These connexive extensions are characterized axiomatically and their relations to one another are examined proof-theoretically. Subsequently, algebraic semantics are given and soundness, completeness, and decidability are proved for each system. The semantics is (...)
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  • Basic Intuitionistic Conditional Logic.Yale Weiss - 2019 - Journal of Philosophical Logic 48 (3):447-469.
    Conditional logics have traditionally been intended to formalize various intuitively correct modes of reasoning involving conditional expressions in natural language. Although conditional logics have by now been thoroughly studied in a classical context, they have yet to be systematically examined in an intuitionistic context, despite compelling philosophical and technical reasons to do so. This paper addresses this gap by thoroughly examining the basic intuitionistic conditional logic ICK, the intuitionistic counterpart of Chellas’ important classical system CK. I give ICK both worlds (...)
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  • Observations on the Trivial World.Zach Weber & Hitoshi Omori - 2019 - Erkenntnis 84 (5):975-994.
    A world is trivial if it makes every proposition true all at once. Such a world is impossible, an absurdity. Our world, we hope, is not an absurdity. It is important, nevertheless, for semantic and metaphysical theories that we be able to reason cogently about absurdities—if only to see that they are absurd. In this note we describe methods for ‘observing’ absurd objects like the trivial world without falling in to incoherence, using some basic techniques from modal logic. The goal (...)
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  • An Information-Based Theory of Conditionals.Wayne Wobcke - 2000 - Notre Dame Journal of Formal Logic 41 (2):95-141.
    We present an approach to combining three areas of research which we claim are all based on information theory: knowledge representation in Artificial Intelligence and Cognitive Science using prototypes, plans, or schemata; formal semantics in natural language, especially the semantics of the `if-then' conditional construct; and the logic of subjunctive conditionals first developed using a possible worlds semantics by Stalnaker and Lewis. The basic premise of the paper is that both schema-based inference and the semantics of conditionals are based on (...)
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  • Local Explanations via Necessity and Sufficiency: Unifying Theory and Practice.David S. Watson, Limor Gultchin, Ankur Taly & Luciano Floridi - 2022 - Minds and Machines 32 (1):185-218.
    Necessity and sufficiency are the building blocks of all successful explanations. Yet despite their importance, these notions have been conceptually underdeveloped and inconsistently applied in explainable artificial intelligence, a fast-growing research area that is so far lacking in firm theoretical foundations. In this article, an expanded version of a paper originally presented at the 37th Conference on Uncertainty in Artificial Intelligence, we attempt to fill this gap. Building on work in logic, probability, and causality, we establish the central role of (...)
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  • The Future Similarity Objection Revisited.Ryan Wasserman - 2006 - Synthese 150 (1):57-67.
    David Lewis has long defended an analysis of counterfactuals in terms of comparative similarity of possible worlds. The purpose of this paper is to reevaluate Lewis’s response to one of the oldest and most familiar objections to this proposal, the future similarity objection.
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  • Epistemology versus Non-Causal Realism.Jared Warren - 2017 - Synthese 194 (5).
    This paper formulates a general epistemological argument against what I call non-causal realism, generalizing domain specific arguments by Benacerraf, Field, and others. First I lay out the background to the argument, making a number of distinctions that are sometimes missed in discussions of epistemological arguments against realism. Then I define the target of the argument—non-causal realism—and argue that any non-causal realist theory, no matter the subject matter, cannot be given a reasonable epistemology and so should be rejected. Finally I discuss (...)
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  • Three-valued semantic pluralism: a defense of a three-valued solution to the sorites paradox.Wen-Fang Wang - 2018 - Synthese 195 (10):4441-4476.
    Disagreeing with most authors on vagueness, the author proposes a solution that he calls ‘three-valued semantic pluralism’ to the age-old sorites paradox. In essence, it is a three-valued semantics for a first-order vague language with identity with the additional suggestion that a vague language has more than one correct interpretation. Unlike the traditional three-valued approach to a vague language, three-valued semantic pluralism can accommodate the phenomenon of higher-order vagueness and the phenomenon of penumbral connection when equipped with ‘suitable conditionals’. The (...)
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  • Comparative syllogism and counterfactual knowledge.Linton Wang & Wei-Fen Ma - 2014 - Synthese 191 (6):1327-1348.
    Comparative syllogism is a type of scientific reasoning widely used, explicitly or implicitly, for inferences from observations to conclusions about effectiveness, but its philosophical significance has not been fully elaborated or appreciated. In its simplest form, the comparative syllogism derives a conclusion about the effectiveness of a factor (e.g. a treatment or an exposure) on a certain property via an experiment design using a test (experimental) group and a comparison (control) group. Our objective is to show that the comparative syllogism (...)
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  • Connexive Conditional Logic. Part I.Heinrich Wansing & Matthias Unterhuber - forthcoming - Logic and Logical Philosophy:1.
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  • Reply to Ahmed.Lee Walters - 2011 - Proceedings of the Aristotelian Society 111 (1pt1):123-133.
    I reply to Ahmed’s rejection (2011) of my argument (Walters 2009) that all counterfactuals with true antecedents and consequents are themselves true.
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  • Morgenbesser's Coin and Counterfactuals with True Components.Lee Walters - 2009 - Proceedings of the Aristotelian Society 109 (1pt3):365-379.
    Is A & C sufficient for the truth of ‘if A were the case, C would be the case’? Jonathan Bennett thinks not, although the counterexample he gives is inconsistent with his own account of counterfactuals. In any case, I argue that anyone who accepts the case of Morgenbesser's coin, as Bennett does, should reject Bennett’s counterexample. Moreover, I show that the principle underlying his counterexample is unmotivated and indeed false. More generally, I argue that Morgenbesser’s coin commits us to (...)
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  • A problem for counterfactual sufficiency.John William Waldrop - 2023 - Analysis 83 (3):527-535.
    The consequence argument purports to show that determinism is true only if no one has free will. Judgments about whether the argument is sound depend on how one understands locutions of the form 'p and no one can render p false'. The main interpretation on offer appeals to counterfactual sufficiency: s can render p false just in case there is something s can do such that, were s to do it, p would be false; otherwise, s cannot render p false. (...)
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  • Abductive logics in a belief revision framework.Bernard Walliser, Denis Zwirn & Hervé Zwirn - 2004 - Journal of Logic, Language and Information 14 (1):87-117.
    Abduction was first introduced in the epistemological context of scientific discovery. It was more recently analyzed in artificial intelligence, especially with respect to diagnosis analysis or ordinary reasoning. These two fields share a common view of abduction as a general process of hypotheses formation. More precisely, abduction is conceived as a kind of reverse explanation where a hypothesis H can be abduced from events E if H is a good explanation of E. The paper surveys four known schemes for abduction (...)
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  • Against Hypothetical Syllogism.Lee Walters - 2014 - Journal of Philosophical Logic 43 (5):979-997.
    The debate over Hypothetical Syllogism is locked in stalemate. Although putative natural language counterexamples to Hypothetical Syllogism abound, many philosophers defend Hypothetical Syllogism, arguing that the alleged counterexamples involve an illicit shift in context. The proper lesson to draw from the putative counterexamples, they argue, is that natural language conditionals are context-sensitive conditionals which obey Hypothetical Syllogism. In order to make progress on the issue, I consider and improve upon Morreau’s proof of the invalidity of Hypothetical Syllogism. The improved proof (...)
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  • An Argument for Conjunction Conditionalization.Lee Walters & Robert Williams - 2013 - Review of Symbolic Logic 6 (4):573-588.
    Are counterfactuals with true antecedents and consequents automatically true? That is, is Conjunction Conditionalization: if (X & Y), then (X > Y) valid? Stalnaker and Lewis think so, but many others disagree. We note here that the extant arguments for Conjunction Conditionalization are unpersuasive, before presenting a family of more compelling arguments. These arguments rely on some standard theorems of the logic of counterfactuals as well as a plausible and popular semantic claim about certain semifactuals. Denying Conjunction Conditionalization, then, requires (...)
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  • Prolegomena to a theory of X-marking.Kai von Fintel & Sabine Iatridou - 2023 - Linguistics and Philosophy 46 (6):1467-1510.
    The morphological marking that distinguishes conditionals that are called “counterfactual” from those that are not, can also be found in other modal constructions, such as in the expression of wishes and oughts. We propose to call it “X-marking”. In this article, we lay out desiderata for a successful theory of X-marking and make some initial informal observations. Much remains to be done.
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  • An Interpretation of McCall’s “Real Possible Worlds” and His Semantics for Counterfactuals.Alexandru Dragomir - 2016 - Symposion: Theoretical and Applied Inquiries in Philosophy and Social Sciences 3 (1):65-78.
    McCall (1984) offered a semantics of counterfactual conditionals based on “real possible worlds” that avoids using the vague notion of similarity between possible worlds. I will propose an interpretation of McCall’s counterfactuals in a formal framework based on Baltag-Moss-Solecki events and protocols. Moreover, I will argue that using this interpretation one can avoid an objection raised by Otte (1987).
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  • Objective chance, indicative conditionals and decision theory; or, how you can be Smart, rich and keep on smoking.Thomas C. Vinci - 1988 - Synthese 75 (1):83 - 105.
    In this paper I explore a version of standard (expected utility) decision theory in which the probability parameter is interpreted as an objective chance believed by agents to obtain and values of this parameter are fixed by indicative conditionals linking possible actions with possible outcomes. After reviewing some recent developments centering on the common-cause counterexamples to the standard approach, I introduce and briefly discuss the key notions in my own approach. (This approach has essentially the same results as the causal (...)
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  • Mood and gradability: An investigation of the subjunctive mood in spanish.Elisabeth Villalta - 2008 - Linguistics and Philosophy 31 (4):467-522.
    In Spanish (and other Romance languages) certain predicates select the subjunctive mood in the embedded clause, while others select the indicative mood. In this paper, I present a new analysis for the predicates that select the subjunctive mood in Spanish that is based on a semantics of comparison. The main generalization proposed here is the following: in Spanish, a predicate selects the subjunctive mood in its embedded proposition if the proposition is compared to its contextual alternatives on a scale introduced (...)
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  • Speed Up the Conception of Logical Systems with Test-Driven Development.Mathieu Vidal - 2014 - Journal of Logic, Language and Information 23 (1):83-103.
    In this paper, I stress the utility of employing test-driven development (TDD) for conceiving logical systems. TDD, originally invented in the context of Extreme Programming, is a methodology widely used by software engineers to conceive and develop programs. Its main principle is to design the tests of the expected properties of the system before the development phase. I argue that this methodology is especially convenient in conceiving applied logics. Indeed, this technique is efficient with most decidable logics having a software (...)
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  • The defective conditional in mathematics.Mathieu Vidal - 2014 - Journal of Applied Non-Classical Logics 24 (1-2):169-179.
    This article focuses on defective conditionals ? namely indicative conditionals whose antecedents are false and whose truth-values therefore cannot be determined. The problem is to decide which formal connective can adequately represent this usage. Classical logic renders defective conditionals true whereas traditional mathematics dismisses them as irrelevant. This difference in treatment entails that, at the propositional level, classical logic validates some sentences that are intuitively false in plane geometry. With two proofs, I show that the same flaw is shared by (...)
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  • Non-causal understanding with economic models: the case of general equilibrium.Philippe Verreault-Julien - 2017 - Journal of Economic Methodology 24 (3):297-317.
    How can we use models to understand real phenomena if models misrepresent the very phenomena we seek to understand? Some accounts suggest that models may afford understanding by providing causal knowledge about phenomena via how-possibly explanations. However, general equilibrium models, for example, pose a challenge to this solution since their contribution appears to be purely mathematical results. Despite this, practitioners widely acknowledge that it improves our understanding of the world. I argue that the Arrow–Debreu model provides a mathematical how-possibly explanation (...)
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  • Making Counterfactual Assumptions.Frank Veltman - 2005 - Journal of Semantics 22 (2):159-180.
    This paper provides an update semantics for counterfactual conditionals. It does so by giving a dynamic twist to the ‘Premise Semantics’ for counterfactuals developed in Veltman (1976) and Kratzer (1981). It also offers an alternative solution to the problems with naive Premise Semantics discussed by Angelika Kratzer in ‘Lumps of Thought’ (Kratzer, 1989). Such an alternative is called for given the triviality results presented in Kanazawa et al. (2005, this issue).
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  • Williamson’s Abductive Case for the Material Conditional Account.Robert van Rooij, Karolina Krzyżanowska & Igor Douven - 2023 - Studia Logica 111 (4):653-685.
    InSuppose and Tell, Williamson makes a new and original attempt to defend the material conditional account of indicative conditionals. His overarching argument is that this account offers the best explanation of the data concerning how people evaluate and use such conditionals. We argue that Williamson overlooks several important alternative explanations, some of which appear to explain the relevant data at least as well as, or even better than, the material conditional account does. Along the way, we also show that Williamson (...)
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  • The Ontology of Impossible Worlds.David A. Vander Laan - 1997 - Notre Dame Journal of Formal Logic 38 (4):597-620.
    The best arguments for possible worlds as states of affairs furnish us with equally good arguments for impossible worlds of the same sort. I argue for a theory of impossible worlds on which the impossible worlds correspond to maximal inconsistent classes of propositions. Three objections are rejected. In the final part of the paper, I present a menu of impossible worlds and explore some of their interesting formal properties.
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  • The Emergence of Analogy. Analogical Reasoning as a Constraint Satisfaction Process.Jan van Dormael - 1990 - Philosophica 46 (2):65-76.
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  • Towards a uniform analysis of any.Robert van Rooij - 2008 - Natural Language Semantics 16 (4):297-315.
    In this paper, Universal any and Negative Polarity Item any are uniformly analyzed as ‘counterfactual’ donkey sentences (in disguise). Their difference in meaning is reduced here to the distinction between strong and weak readings of donkey sentences. It is shown that this explains the universal and existential character of Universal- and NPI-any, respectively, and the positive and negative contexts in which they are licensed. Our uniform analysis extends to the use of any in command and permission sentences. It predicts that (...)
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  • In defense of causal eliminativism.Alice van’T. Hoff - 2022 - Synthese 200 (5):1-22.
    Causal eliminativists maintain that all causal talk is false. The prospects for such a view seem to be stymied by an indispensability argument, charging that any agent must distinguish between effective and ineffective strategies, and that such a distinction must commit that agent to causal notions. However, this argument has been under-explored. The contributions of this paper are twofold: first, I provide a thorough explication of the indispensability argument and the various ways it might be defended. Second, I point to (...)
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  • Conditional Learning Through Causal Models.Jonathan Vandenburgh - 2020 - Synthese (1-2):2415-2437.
    Conditional learning, where agents learn a conditional sentence ‘If A, then B,’ is difficult to incorporate into existing Bayesian models of learning. This is because conditional learning is not uniform: in some cases, learning a conditional requires decreasing the probability of the antecedent, while in other cases, the antecedent probability stays constant or increases. I argue that how one learns a conditional depends on the causal structure relating the antecedent and the consequent, leading to a causal model of conditional learning. (...)
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  • Conditionals As Representative Inferences.Robert van Rooij & Katrin Schulz - 2021 - Axiomathes 31 (3):437-452.
    According to Adams, the acceptability of an indicative conditional goes with the conditional probability of the consequent given the antecedent. However, some conditionals seem to be inappropriate, although their corresponding conditional probability is high. These are cases with a missing link between antecedent and consequent. Other conditionals are appropriate even though the conditional probability is low. Finally, we have the so-called biscuit conditionals. In this paper we will generalize analyses of Douven and others to account for the appropriateness of conditionals (...)
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  • Backtracking through interventions: An exogenous intervention model for counterfactual semantics.Jonathan Vandenburgh - 2022 - Mind and Language 38 (4):981-999.
    Causal models show promise as a foundation for the semantics of counterfactual sentences. However, current approaches face limitations compared to the alternative similarity theory: they only apply to a limited subset of counterfactuals and the connection to counterfactual logic is not straightforward. This article addresses these difficulties using exogenous interventions, where causal interventions change the values of exogenous variables rather than structural equations. This model accommodates judgments about backtracking counterfactuals, extends to logically complex counterfactuals, and validates familiar principles of counterfactual (...)
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  • Completeness and Correspondence in Chellas–Segerberg Semantics.Matthias Unterhuber & Gerhard Schurz - 2014 - Studia Logica 102 (4):891-911.
    We investigate a lattice of conditional logics described by a Kripke type semantics, which was suggested by Chellas and Segerberg – Chellas–Segerberg (CS) semantics – plus 30 further principles. We (i) present a non-trivial frame-based completeness result, (ii) a translation procedure which gives one corresponding trivial frame conditions for arbitrary formula schemata, and (iii) non-trivial frame conditions in CS semantics which correspond to the 30 principles.
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  • Deceit and indefeasible knowledge: the case of dubitatio.Sara L. Uckelman - 2011 - Journal of Applied Non-Classical Logics 21 (3-4):503-519.
    The current trend in knowledge revision in the Dynamic Epistemic Logic tradition focuses on the addition of new knowledge, rather than the possibility of losing knowledge. Yet there are natural situations, such as an agent who does not want another agent to know that she knows a certain piece of information, where there is a need to be able to model the retraction of a proposition from a knowledge base. One situation where this is systematically required is the variant of (...)
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  • Counterfactuals without possible worlds.Raymond Turner - 1981 - Journal of Philosophical Logic 10 (4):453 - 493.
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  • Strengthened, and weakened, by belief.Tue Trinh - 2023 - Linguistics and Philosophy 47 (1):37-76.
    This paper discusses a set of observations, many of which are novel, concerning differences between the adjectival modals _certain_ and _possible_ and their adverbial counterparts _certainly_ and _possibly_. It argues that the observations can be derived from a standard interpretation of _certain_/_certainly_ as universal and _possible_/_possibly_ as existential quantifiers over possible worlds, in conjunction with the hypothesis that the adjectives quantify over knowledge and the adverbs quantify over belief. The claims on which the argument relies include the following: (i) knowledge (...)
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  • Utility theory and preference logic.Rainer W. Trapp - 1985 - Erkenntnis 22 (1-3):301 - 339.
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  • Natural necessity: An introductory guide for ontologists.Fumiaki Toyoshima - 2020 - Applied ontology 15 (1):61-89.
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  • Backward causation and the Stalnaker-Lewis approach to counterfactuals.Michael Tooley - 2002 - Analysis 62 (3):191-197.
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  • Obligation, conditionals, and the logic of conditional obligation.James E. Tomberlin - 1989 - Philosophical Studies 55 (1):81 - 92.
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  • Actualism or possibilism?James E. Tomberlin - 1996 - Philosophical Studies 84 (2-3):263 - 281.
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  • Swampman: a dilemma for proper functionalism.Jeffrey Tolly - 2018 - Synthese 198 (Suppl 7):1725-1750.
    Proper functionalism claims that a belief has epistemic warrant only if it’s formed according to the subject’s truth-aimed cognitive design plan. The most popular putative counter-examples to proper functionalism all involve agents who form beliefs in seemingly warrant-enabling ways that don’t appear to proceed according to any sort of design. The Swampman case is arguably the most famous scenario of this sort. However, some proper functionalists accept that subjects like Swampman have warrant, opting instead to adopt a non-standard account of (...)
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  • Knowledge, evidence, and multiple process types.Jeffrey Tolly - 2019 - Synthese 198 (S23):5625-5652.
    The generality problem is one of the most pressing challenges for reliabilism. The problem begins with this question: of all the process types exemplified by a given process token, which types are the relevant ones for determining whether the resultant belief counts as knowledge? As philosophers like Earl Conee and Richard Feldman have argued, extant responses to the generality problem have failed, and it looks as if no solution is forthcoming. In this paper, I present a new response to the (...)
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