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Probability Operators

Philosophy Compass 5 (11):916-37 (2010)

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  1. .Luca Incurvati & Julian J. Schlöder - 2023 - New York: Oxford University Press USA.
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  • Belief as Question‐Sensitive.Seth Yalcin - 2018 - Philosophy and Phenomenological Research 97 (1):23-47.
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  • Non-Ideal Decision Theory.Sven Neth - 2023 - Dissertation, University of California, Berkeley
    My dissertation is about Bayesian rationality for non-ideal agents. I show how to derive subjective probabilities from preferences using much weaker rationality assumptions than other standard representation theorems. I argue that non-ideal agents might be uncertain about how they will update on new information and consider two consequences of this uncertainty: such agents should sometimes reject free information and make choices which, taken together, yield sure loss. The upshot is that Bayesian rationality for non-ideal agents makes very different normative demands (...)
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  • Epistemic modals and credal disagreement.Torfinn Thomesen Huvenes - 2015 - Philosophical Studies 172 (4):987-1011.
    Considerations involving disagreement, as well as related considerations involving correction and retraction, have played an important role in recent debates about epistemic modals. For instance, it has been argued that contextualist views about epistemic modals have problems when it comes to explaining cases of disagreement. In response to these challenges, I explore the idea that the relevant cases of disagreement may involve credal disagreement. In a case of credal disagreement, the parties have different degrees of belief or credences. There does (...)
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  • Perspectival Plurality, Relativism, and Multiple Indexing.Dan Zeman - 2018 - In Rob Truswell, Chris Cummins, Caroline Heycock, Brian Rabern & Hannah Rohde (eds.), Proceedings of Sinn und Bedeutung 21. Semantics Archives. pp. 1353-1370.
    In this paper I focus on a recently discussed phenomenon illustrated by sentences containing predicates of taste: the phenomenon of " perspectival plurality " , whereby sentences containing two or more predicates of taste have readings according to which each predicate pertains to a different perspective. This phenomenon has been shown to be problematic for (at least certain versions of) relativism. My main aim is to further the discussion by showing that the phenomenon extends to other perspectival expressions than predicates (...)
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  • Propositions as (Flexible) Types of Possibilities.Nate Charlow - 2022 - In Chris Tillman & Adam Murray (eds.), The Routledge Handbook of Propositions. Routledge. pp. 211-230.
    // tl;dr A Proposition is a Way of Thinking // -/- This chapter is about type-theoretic approaches to propositional content. Type-theoretic approaches to propositional content originate with Hintikka, Stalnaker, and Lewis, and involve treating attitude environments (e.g. "Nate thinks") as universal quantifiers over domains of "doxastic possibilities" -- ways things could be, given what the subject thinks. -/- This chapter introduces and motivates a line of a type-theoretic theorizing about content that is an outgrowth of the recent literature on epistemic (...)
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  • Context Probabilism.Seth Yalcin - 2012 - In M. Aloni (ed.), 18th Amsterdam Colloquium. Springer. pp. 12-21.
    We investigate a basic probabilistic dynamic semantics for a fragment containing conditionals, probability operators, modals, and attitude verbs, with the aim of shedding light on the prospects for adding probabilistic structure to models of the conversational common ground.
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  • The Modal Future: A Theory of Future-Directed Thought and Talk.Fabrizio Cariani - 2021 - Cambridge, UK: Cambridge University Press.
    Provisional draft, pre-production copy of my book “The Modal Future” (forthcoming with Cambridge University Press).
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  • Epistemic Modals and Sensitivity to Contextually‐Salient Partitions.Andy Demfree Yu - 2016 - Thought: A Journal of Philosophy 5 (2):134-146.
    Expressivists and relativists about epistemic modals often motivate their view by arguing against contextualist treatments of certain cases. However, I argue that even expressivists and relativists should consider being a kind of contextualist. Specifically, data involving mixed disjunctions motivate taking epistemic modals to be sensitive to contextually-salient partitions, and thus context-sensitive.
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  • VI-BayesianExpressivism.Seth Yalcin - 2012 - Proceedings of the Aristotelian Society 112 (2pt2):123-160.
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  • A Counterexample to Modus Tollens.Seth Yalcin - 2012 - Journal of Philosophical Logic 41 (6):1001-1024.
    This paper defends a counterexample to Modus Tollens, and uses it to draw some conclusions about the logic and semantics of indicative conditionals and probability operators in natural language. Along the way we investigate some of the interactions of these expressions with 'knows', and we call into question the thesis that all knowledge ascriptions have truth-conditions.
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  • Epistemic Modals.Seth Yalcin - 2007 - Mind 116 (464):983-1026.
    Epistemic modal operators give rise to something very like, but also very unlike, Moore's paradox. I set out the puzzling phenomena, explain why a standard relational semantics for these operators cannot handle them, and recommend an alternative semantics. A pragmatics appropriate to the semantics is developed and interactions between the semantics, the pragmatics, and the definition of consequence are investigated. The semantics is then extended to probability operators. Some problems and prospects for probabilistic representations of content and context are explored.
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  • An Update on Epistemic Modals.Malte Willer - 2015 - Journal of Philosophical Logic 44 (6):835–849.
    Epistemic modals are a prominent topic in the literature on natural language semantics, with wide-ranging implications for issues in philosophy of language and philosophical logic. Considerations about the role that epistemic "might" and "must" play in discourse and reasoning have led to the development of several important alternatives to classical possible worlds semantics for natural language modal expressions. This is an opinionated overview of what I take to be some of the most exciting issues and developments in the field.
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  • Updating on Biased Probabilistic Testimony.Leander Vignero - 2024 - Erkenntnis 89 (2):567-590.
    In this paper, I use a framework from computational linguistics, the Rational Speech Act framework, to model deceptive probabilistic communication. This account allows agents to discount for the biases they perceive their interlocutors to have. This way, agents can update their credences with the perceived interests of others in mind.
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  • Hedged testimony.Peter van Elswyk - 2023 - Noûs 57 (2):341-369.
    Speakers offer testimony. They also hedge. This essay offers an account of how hedging makes a difference to testimony. Two components of testimony are considered: how testimony warrants a hearer's attitude, and how testimony changes a speaker's responsibilities. Starting with a norm-based approach to testimony where hearer's beliefs are prima facie warranted because of social norms and speakers acquire responsibility from these same norms, I argue that hedging alters both components simultaneously. It changes which attitudes a hearer is prima facie (...)
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  • Future Contingents and the Logic of Temporal Omniscience.Patrick Todd & Brian Rabern - 2021 - Noûs 55 (1):102-127.
    At least since Aristotle’s famous 'sea-battle' passages in On Interpretation 9, some substantial minority of philosophers has been attracted to the doctrine of the open future--the doctrine that future contingent statements are not true. But, prima facie, such views seem inconsistent with the following intuition: if something has happened, then (looking back) it was the case that it would happen. How can it be that, looking forwards, it isn’t true that there will be a sea battle, while also being true (...)
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  • The Application of Constraint Semantics to the Language of Subjective Uncertainty.Eric Swanson - 2016 - Journal of Philosophical Logic 45 (2):121-146.
    This paper develops a compositional, type-driven constraint semantic theory for a fragment of the language of subjective uncertainty. In the particular application explored here, the interpretation function of constraint semantics yields not propositions but constraints on credal states as the semantic values of declarative sentences. Constraints are richer than propositions in that constraints can straightforwardly represent assessments of the probability that the world is one way rather than another. The richness of constraints helps us model communicative acts in essentially the (...)
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  • One's Modus Ponens: Modality, Coherence and Logic.Una Stojnić - 2017 - Philosophy and Phenomenological Research 95 (1):167-214.
    Recently, there has been a shift away from traditional truth-conditional accounts of meaning towards non-truth-conditional ones, e.g., expressivism, relativism and certain forms of dynamic semantics. Fueling this trend is some puzzling behavior of modal discourse. One particularly surprising manifestation of such behavior is the alleged failure of some of the most entrenched classical rules of inference; viz., modus ponens and modus tollens. These revisionary, non-truth-conditional accounts tout these failures, and the alleged tension between the behavior of modal vocabulary and classical (...)
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  • I know what you're probably going to say: Listener adaptation to variable use of uncertainty expressions.Sebastian Schuster & Judith Degen - 2020 - Cognition 203 (C):104285.
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  • Against the Russellian open future.Anders J. Schoubye & Brian Rabern - 2017 - Mind 126 (504): 1217–1237.
    Todd (2016) proposes an analysis of future-directed sentences, in particular sentences of the form 'will(φ)', that is based on the classic Russellian analysis of definite descriptions. Todd's analysis is supposed to vindicate the claim that the future is metaphysically open while retaining a simple Ockhamist semantics of future contingents and the principles of classical logic, i.e. bivalence and the law of excluded middle. Consequently, an open futurist can straightforwardly retain classical logic without appeal to supervaluations, determinacy operators, or any further (...)
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  • Trivializing Informational Consequence.Paolo Santorio - 2022 - Philosophy and Phenomenological Research 104 (2):297-320.
    This paper investigates the link between informational consequence and credence. I first suggest a natural constraint, namely that informational consequence should preserve certainty: on any rational credence distribution, when the premises of an informational inferences have credence 1, the conclusion also has credence 1. Then I show that the certainty‐preserving constraint leads to triviality. In particular, the following three claims are incompatible: (i) informational consequence is extensionally distinct from classical consequence; (ii) informational inferences preserve certainty; (iii) credences obey (a subset (...)
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  • Uncertainty and Persistence: a Bayesian Update Semantics for Probabilistic Expressions.Deniz Rudin - 2018 - Journal of Philosophical Logic 47 (3):365-405.
    This paper presents a general-purpose update semantics for expressions of subjective uncertainty in natural language. First, a set of desiderata are established for how expressions of subjective uncertainty should behave in dynamic, update-based semantic systems; then extant implementations of expressions of subjective uncertainty in such models are evaluated and found wanting; finally, a new update semantics is proposed. The desiderata at the heart of this paper center around the contention that expressions of subjective uncertainty express beliefs which are not persistent, (...)
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  • What it takes to believe.Daniel Rothschild - 2020 - Philosophical Studies 177 (5):1345-1362.
    Much linguistic evidence supports the view believing something only requires thinking it likely. I assess and reject a rival view, based on recent work on homogeneity in natural language, according to which belief is a strong, demanding attitude. I discuss the implications of the linguistic considerations about ‘believe’ for our philosophical accounts of belief.
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  • Expressing Credences.Daniel Rothschild - 2012 - Proceedings of the Aristotelian Society 112 (1pt1):99-114.
    After presenting a simple expressivist account of reports of probabilistic judgements, I explore a classic problem for it, namely the Frege-Geach problem. I argue that it is a problem not just for expressivism but for any reasonable account of ascriptions of graded judgements. I suggest that the problem can be resolved by appropriately modelling imprecise credences.
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  • Publishing without belief.Alexandra Plakias - 2019 - Analysis 79 (4):638-646.
    Is there anything wrong with publishing philosophical work which one does not believe (publishing without belief, henceforth referred to as ‘PWB’)? I argue that there is not: the practice isn’t intrinsically wrong, nor is there a compelling consequentialist argument against it. Therefore, the philosophical community should neither proscribe nor sanction it. The paper proceeds as follows. First, I’ll clarify and motivate the problem, using both hypothetical examples and a recent real-world case. Next, I’ll look at arguments that there is something (...)
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  • The epistemic significance of modal factors.Lilith Newton - 2020 - Synthese 199 (1-2):227-248.
    This paper evaluates whether and to what extent modal constraints on knowledge or the semantics of ‘knows’, which make essential reference to what goes on in other possible worlds, can be considered non-epistemic factors with epistemic significance. This is best understood as the question whether modal factors are non-truth-relevant factors that make the difference between true belief and knowledge, or to whether a true belief falls under the extension of ‘knowledge’ in a context, where a factor is truth-relevant with respect (...)
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  • Chancy Modus Ponens.Sven Neth - 2019 - Analysis 79 (4):632-638.
    Chancy modus ponens is the following inference scheme: ‘probably φ’, ‘if φ, then ψ’, therefore, ‘probably ψ’. I argue that Chancy modus ponens is invalid in general. I further argue that the invalidity of Chancy modus ponens sheds new light on the alleged counterexample to modus ponens presented by McGee. I close by observing that, although Chancy modus ponens is invalid in general, we can recover a restricted sense in which this scheme of inference is valid.
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  • Modality, expected utility, and hypothesis testing.WooJin Chung & Salvador Mascarenhas - 2023 - Synthese 202 (1):1-40.
    We introduce an expected-value theory of linguistic modality that makes reference to expected utility and a likelihood-based confirmation measure for deontics and epistemics, respectively. The account is a probabilistic semantics for deontics and epistemics, yet it proposes that deontics and epistemics share a common core modal semantics, as in traditional possible-worlds analysis of modality. We argue that this account is not only theoretically advantageous, but also has far-reaching empirical consequences. In particular, we predict modal versions of reasoning fallacies from the (...)
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  • Probability Modals and Infinite Domains.Adam Marushak - 2020 - Journal of Philosophical Logic 49 (5):1041-1055.
    Recent years have witnessed a proliferation of attempts to apply the mathematical theory of probability to the semantics of natural language probability talk. These sorts of “probabilistic” semantics are often motivated by their ability to explain intuitions about inferences involving “likely” and “probably”—intuitions that Angelika Kratzer’s canonical semantics fails to accommodate through a semantics based solely on an ordering of worlds and a qualitative ranking of propositions. However, recent work by Wesley Holliday and Thomas Icard has been widely thought to (...)
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  • Assertion is weak.Matthew Mandelkern & Kevin Dorst - 2022 - Philosophers' Imprint 22.
    Recent work has argued that belief is weak: the level of rational credence required for belief is relatively low. That literature has contrasted belief with assertion, arguing that the latter requires an epistemic state much stronger than (weak) belief---perhaps knowledge or even certainty. We argue that this is wrong: assertion is just as weak as belief. We first present a variety of new arguments for this, and then show that the standard arguments for stronger norms are not convincing. Finally, we (...)
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  • Must, knowledge, and (in)directness.Daniel Lassiter - 2016 - Natural Language Semantics 24 (2):117-163.
    This paper presents corpus and experimental data that problematize the traditional analysis of must as a strong necessity modal, as recently revived and defended by von Fintel and Gillies :351–383, 2010). I provide naturalistic examples showing that must p can be used alongside an explicit denial of knowledge of p or certainty in p, and that it can be conjoined with an expression indicating that p is not certain or that not-p is possible. I also report the results of an (...)
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  • Modality, Scale Structure, and Scalar Reasoning.Daniel Lassiter - 2014 - Pacific Philosophical Quarterly 95 (4):461-490.
    Epistemic and deontic comparatives differ in how they interact with disjunction. I argue that this difference provides a compelling empirical argument against the semantics of Kratzer, which predicts that all modal comparatives should interact with disjunction in the same way. Interestingly, an identical distinction is found in the semantics of non-modal adjectives: additive adjectives like ‘heavy’ behave logically like epistemic comparatives, and intermediate adjectives like ‘hot’ behave like deontic comparatives. I characterize this distinction formally and argue that the divergence between (...)
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  • How many kinds of reasoning? Inference, probability, and natural language semantics.Daniel Lassiter & Noah D. Goodman - 2015 - Cognition 136 (C):123-134.
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  • Parentheticality, assertion strength, and polarity.Todor Koev - 2019 - Linguistics and Philosophy 44 (1):113-140.
    Sentences with slifting parentheticals The formal analysis of natural language, Mouton, The Hague, 1973) grammaticalize an intriguing interaction between truth-conditional meaning and speech act function. In such sentences, the assertion strength of the slifted clause is modulated by the parenthetical, which provides evidential support :480–496, 1952; Asher in J Semant 17:31–50, 2000; Rooryck in Glot Int 5:125–133, 2001; Jayez and Rossari in: Corblin, de Swart Handbook of French semantics, CSLI, Stanford, 2004; Davis et al. in Proc Semant Linguist Theory 17:71–88, (...)
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  • Disjunctive antecedent conditionals.Justin Khoo - 2018 - Synthese 198 (8):7401-7430.
    Disjunctive antecedent conditionals —conditionals of the form if A or B, C—sometimes seem to entail both of their simplifications and sometimes seem not to. I argue that this behavior reveals a genuine ambiguity in DACs. Along the way, I discuss a new observation about the role of focal stress in distinguishing the two interpretations of DACs. I propose a new theory, according to which the surface form of a DAC underdetermines its logical form: on one possible logical form, if A (...)
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  • Thinking, Guessing, and Believing.Ben Holguin - 2022 - Philosophers' Imprint 22 (1):1-34.
    This paper defends the view, put roughly, that to think that p is to guess that p is the answer to the question at hand, and that to think that p rationally is for one’s guess to that question to be in a certain sense non-arbitrary. Some theses that will be argued for along the way include: that thinking is question-sensitive and, correspondingly, that ‘thinks’ is context-sensitive; that it can be rational to think that p while having arbitrarily low credence (...)
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  • Complex probability expressions & higher-order uncertainty: Compositional semantics, probabilistic pragmatics & experimental data.Michele Herbstritt & Michael Franke - 2019 - Cognition 186 (C):50-71.
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  • Belief is weak.John Hawthorne, Daniel Rothschild & Levi Spectre - 2016 - Philosophical Studies 173 (5):1393-1404.
    It is tempting to posit an intimate relationship between belief and assertion. The speech act of assertion seems like a way of transferring the speaker’s belief to his or her audience. If this is right, then you might think that the evidential warrant required for asserting a proposition is just the same as the warrant for believing it. We call this thesis entitlement equality. We argue here that entitlement equality is false, because our everyday notion of belief is unambiguously a (...)
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  • Lockeans Maximize Expected Accuracy.Kevin Dorst - 2019 - Mind 128 (509):175-211.
    The Lockean Thesis says that you must believe p iff you’re sufficiently confident of it. On some versions, the 'must' asserts a metaphysical connection; on others, it asserts a normative one. On some versions, 'sufficiently confident' refers to a fixed threshold of credence; on others, it varies with proposition and context. Claim: the Lockean Thesis follows from epistemic utility theory—the view that rational requirements are constrained by the norm to promote accuracy. Different versions of this theory generate different versions of (...)
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  • Good Guesses.Kevin Dorst & Matthew Mandelkern - 2023 - Philosophy and Phenomenological Research 105 (3):581-618.
    This paper is about guessing: how people respond to a question when they aren’t certain of the answer. Guesses show surprising and systematic patterns that the most obvious theories don’t explain. We argue that these patterns reveal that people aim to optimize a tradeoff between accuracy and informativity when forming their guess. After spelling out our theory, we use it to argue that guessing plays a central role in our cognitive lives. In particular, our account of guessing yields new theories (...)
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  • Belief and certainty.Dylan Dodd - 2017 - Synthese 194 (11):4597-4621.
    I argue that believing that p implies having a credence of 1 in p. This is true because the belief that p involves representing p as being the case, representing p as being the case involves not allowing for the possibility of not-p, while having a credence that’s greater than 0 in not-p involves regarding not-p as a possibility.
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  • Probabilistic semantics for epistemic modals: Normality assumptions, conditional epistemic spaces and the strength of must and might.Guillermo Del Pinal - 2021 - Linguistics and Philosophy 45 (4):985-1026.
    The epistemic modal auxiliaries must and might are vehicles for expressing the force with which a proposition follows from some body of evidence or information. Standard approaches model these operators using quantificational modal logic, but probabilistic approaches are becoming increasingly influential. According to a traditional view, must is a maximally strong epistemic operator and might is a bare possibility one. A competing account—popular amongst proponents of a probabilisitic turn—says that, given a body of evidence, must \ entails that \\) is (...)
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  • Triviality For Restrictor Conditionals.Nate Charlow - 2015 - Noûs 50 (3):533-564.
    I present two Triviality results for Kratzer's standard “restrictor” analysis of indicative conditionals. I both refine and undermine the common claim that problems of Triviality do not arise for Kratzer conditionals since they are not strictly conditionals at all.
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  • Decision-theoretic relativity in deontic modality.Nate Charlow - 2018 - Linguistics and Philosophy 41 (3):251-287.
    This paper explores the idea that a semantics for ‘ought’ should be neutral between different ways of deciding what an agent ought to do in a situation. While the idea is, I argue, well-motivated, taking it seriously leads to surprising, even paradoxical, problems for theorizing about the meaning of ‘ought’. This paper describes and defends one strategy—a form of Expressivism for the modal ‘ought’—for navigating these problems.
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  • Epistemic and Deontic Should.Fabrizio Cariani - 2013 - Thought: A Journal of Philosophy 2 (1):73-84.
    Probabilistic theories of “should” and “ought” face a predicament. At first blush, it seems that such theories must provide different lexical entries for the epistemic and the deontic interpretations of these modals. I show that there is a new style of premise semantics that can avoid this consequence in an attractively conservative way.
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  • Attitudes, Deontics and Semantic Neutrality.Fabrizio Cariani - 2014 - Pacific Philosophical Quarterly 95 (4):491-511.
    It has been recently suggested that a semantic theory for deontic modals should be neutral between a very large range of normative and evaluative theories. This article aims to clarify this talk of neutrality, in particular its scope and motivation. My thesis is that neutrality is best understood as an empirical thesis about a fragment of natural language that includes deontic modals – not as a new, sui generis methodological constraint on natural language semantics.
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  • Contextualism about Evidential Support.Jessica Brown - 2015 - Philosophy and Phenomenological Research 92 (2):329-354.
    In this paper, I examine a contextualist thesis that has been little discussed in comparison with contextualism about knowledge, namely contextualism about evidential support. This seems surprising since, prima facie, evidential support statements seem shifty in a way parallel to knowledge ascriptions. I examine but reject the suggestion that contrastivism about evidential support is motivated by arguments analogous to those used to motivate contrastivism about knowledge including sceptical closure arguments, the nature of inquiry, the existence of explicitly contrastive evidential support (...)
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  • Fatalism and the Logic of Unconditionals.Justin Bledin - 2018 - Noûs 54 (1):126-161.
    In this paper, I consider a variant of the ancient Idle Argument involving so‐called “unconditionals” with interrogative antecedents. This new Idle Argument provides an ideal setting for probing the logic of these close relatives of if‐conditionals, which has been comparatively underexplored. In the course of refuting the argument, I argue that contrary to received wisdom, many unconditionals do not entail their main clauses, yet modus ponens is still unrestrictedly valid for this class of expressions. I make these lessons precise in (...)
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  • Disposition Ascriptions.Simona Aimar - 2019 - Philosophical Studies 176 (7):1667-1692.
    I argue that disposition ascriptions—claims like ‘the glass is fragile’—are semantically equivalent to possibility claims: they are true when the given object manifests the disposition in at least one of the relevant possible worlds.
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  • Proceedings of Sinn und Bedeutung 9.Emar Maier, Corien Bary & Janneke Huitink (eds.) - 2005 - Nijmegen Centre for Semantics.
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