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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. What If Bizet and Verdi Had Been Compatriots?Michael J. Shaffer - 2016 - Logos and Episteme 7 (1):55-73.
    Stalnaker argued that conditional excluded middle should be included in the principles that govern counterfactuals on the basis that intuitions support that principle. This is because there are pairs of competing counterfactuals that appear to be equally acceptable. In doing so, he was forced to introduced semantic vagueness into his system of counterfactuals. In this paper it is argued that there is a simpler and purely epistemic explanation of these cases that avoids the need for introducing semantic vagueness into the (...)
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  • Knowledge of Abstract Objects in Physics and Mathematics.Michael J. Shaffer - 2017 - Acta Analytica 32 (4):397-409.
    In this paper a parallel is drawn between the problem of epistemic access to abstract objects in mathematics and the problem of epistemic access to idealized systems in the physical sciences. On this basis it is argued that some recent and more traditional approaches to solving these problems are problematic.
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  • Bealer on the autonomy of philosophical and scientific knowledge.Michael J. Shaffer - 2007 - Metaphilosophy 38 (1):44–54.
    In a series of influential articles, George Bealer argues for the autonomy of philosophical knowledge on the basis that philosophically known truths must be necessary truths. The main point of his argument is that the truths investigated by the sciences are contingent truths to be discovered a posteriori by observation, while the truths of philosophy are necessary truths to be discovered a priori by intuition. The project of assimilating philosophy to the sciences is supposed to be rendered illegitimate by the (...)
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  • Bayesian confirmation of theories that incorporate idealizations.Michael J. Shaffer - 2001 - Philosophy of Science 68 (1):36-52.
    Following Nancy Cartwright and others, I suggest that most (if not all) theories incorporate, or depend on, one or more idealizing assumptions. I then argue that such theories ought to be regimented as counterfactuals, the antecedents of which are simplifying assumptions. If this account of the logic form of theories is granted, then a serious problem arises for Bayesians concerning the prior probabilities of theories that have counterfactual form. If no such probabilities can be assigned, the the posterior probabilities will (...)
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  • Why think there are any true counterfactuals of freedom?James F. Sennett - 1992 - International Journal for Philosophy of Religion 32 (2):105 - 116.
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  • U podstaw sporu o kontrmożliwe okresy warunkowe.Maciej Sendłak - 2017 - Studia Semiotyczne 31 (1):131-151.
    Przedmiotem prezentowanego artykułu jest spor o wartości logiczne kontrfaktycznych okresów warunkowych z niemożliwym poprzednikiem. Zgodnie z rozpowszechnionymi analizami każdy taki okres warunkowy jest prawdziwy. Pogląd ten określany jest mianem ortodoksyjnego i przeciwstawiany jest mu pogląd nieortodoksyjny, który uznaje, że tylko niektóre spośród kontrmożliwych okresów warunkowych są prawdziwe, a inne są fałszywe. W jednym ze swoich ostatnich tekstów Timothy Williamson argumentował na rzecz tezy, że konsekwencje poglądu nieortodoksyjnego są niespójne z motywacjami leżącymi u podstaw tego poglądu. Celem artykułu jest polemika z (...)
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  • On the Pragmatic Approach to Counterpossibles.Maciej Sendłak - 2019 - Philosophia 47 (2):523-532.
    Nina Emery and Christopher Hill proposed a pragmatic approach toward the debate about counterpossibles—i.e., counterfactuals with impossible antecedents. The core of this approach is to move the burden of the problem from the notion of truth value into the notion of assertion. This is meant to explain our pre-theoretical intuitions about counterpossibles while claiming that each and every counterpossible is vacuously true. The aim of this paper is to indicate a problematic aspect of this view.
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  • Okresy warunkowe i operator fikcji.Maciej Sendłak - 2019 - Studia Semiotyczne 33 (2):307-322.
    Celem tego artykułu było wykazanie, że ortodoksyjna analiza kontrmożliwych okresów warunkowych prowadzi do niepokojącej konsekwencji. Jest nią niemożność odróżnienia poszczególnych, z konieczności fałszywych teorii. Problem ten opiera się w dużej mierze na związku pomiędzy okresami warunkowymi oraz analizą wyrażeń zawierających operator opowieści. Nie musi to oznaczać, że zwolennik analizy ortodoksyjnej nie może dostarczyć alternatywnego sformułowania różnic pomiędzy teoriami z konieczności fałszywymi. Tym niemniej, nie może on tego dokonać poprzez użycie okresów warunkowych. Te natomiast – jak wskazują zarówno filozofowie oraz psycholodzy (...)
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  • Limits of Hybrid Modal Realism.Maciej Sendłak - 2015 - Axiomathes 25 (4):515-531.
    The aim of this paper is to point out the limitations of Hybrid Modal Realism as a general theory of modalities, i.e. one that gives an analysis of possibilities as well as impossibilities. To do so we will firstly sketch the goals that theories of impossible worlds should achieve. Secondly we will briefly present the two most popular accounts of impossibilities—Extended Modal Realism and Extended Ersatzism. We will focus on the aspects of both theories which became the motivation for a (...)
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  • Counterpossibles, story prefix and trivialism.Maciej Sendłak - 2021 - Synthese 199 (3-4):7283-7301.
    The aim of this paper is to argue in favor of the view that some counterpossibles are false. This is done indirectly by showing that accepting the opposite view, i.e., one that ascribes truth to each and every counterpossible, results in the claim that every necessarily false theory has exactly the same consequences. Accordingly, it is shown that taking every counterpossible to be true not only undermines the value of debates over various alternative theories and their consequences, but also puts (...)
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  • About the Basis for the Debate of Counterpossibles.Maciej Sendłak - 2019 - Studia Semiotyczne—English Supplement 30:43-59.
    According to the most popular theories, counterfactuals with impossible antecedents are vacuously true. Critiques of this view argue that contrary to this, we tend to consider only some of them true and others to be false. In his recent paper Timothy Williamson has ingeniously explained the motivations for the orthodox view and argued that although there are some heuristic reasons that may suggest the plausibility of the unorthodox view, they are fallible. The most important of Williamson’s arguments is that the (...)
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  • Wondering what might be.Moritz Schulz - 2010 - Philosophical Studies 149 (3):367 - 386.
    This paper explores the possibility of supplementing the suppositional view of indicative conditionals with a corresponding view of epistemic modals. The most striking feature of the suppositional view consists in its claim that indicative conditionals are to be evaluated by conditional probabilities. On the basis of a natural link between indicative conditionals and epistemic modals, a corresponding thesis about the probabilities of statements governed by epistemic modals can be derived. The paper proceeds by deriving further consequences of this thesis, in (...)
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  • What’s the Point? A Presentist Social Functionalist Account of Institutional Purpose.Armin W. Schulz - 2021 - Sage Publications Inc: Philosophy of the Social Sciences 52 (1-2):53-80.
    Philosophy of the Social Sciences, Volume 52, Issue 1-2, Page 53-80, January-March 2022. Although it is clear that many of the major contemporary social problems center on the extent to which social institutions do or do not function as they are meant to do, it is still unclear exactly what the function of a social institution is—and thus when this function is undermined. This paper presents and defends a novel theory of social functionalism—presentist social functionalism—to answer these questions. According to (...)
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  • What’s the Point? A Presentist Social Functionalist Account of Institutional Purpose.Armin W. Schulz - 2022 - Philosophy of the Social Sciences 52 (1-2):53-80.
    Although it is clear that many of the major contemporary social problems center on the extent to which social institutions do or do not function as they are meant to do, it is still unclear exactly what the function of a social institution is—and thus when this function is undermined. This paper presents and defends a novel theory of social functionalism—presentist social functionalism—to answer these questions. According to this theory, the function of social institutions is grounded in those of their (...)
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  • The Proviso Problem: a note. [REVIEW]Philippe Schlenker - 2011 - Natural Language Semantics 19 (4):395-422.
    Several theories of presupposition projection predict that some sentences which intuitively yield unconditional presuppositions should have weaker, conditional ones. For instance, If John is realistic, he knows that he is incompetent is predicted to have the presupposition that if John is realistic, he is incompetent, whereas one certainly infers that John is in fact incompetent. We summarize some difficulties faced by three solutions, DRT, Singh’s ‘Formal Alternatives’, and Singh’s ‘Interacting Alternatives’; we then offer a new analysis which is compatible with (...)
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  • Scalar additive particles in negative contexts.Bernhard Schwarz - 2005 - Natural Language Semantics 13 (2):125-168.
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  • Quiddistic Knowledge.Jonathan Schaffer - 2005 - Philosophical Studies 123 (1):1-32.
    Is the relation between properties and the causal powers they confer necessary, or contingent? Necessary, says Sydney Shoemaker, on pain of skepticism about the properties. Contingent, says David Lewis, swallowing the skeptical conclusion. I shall argue that Lewis is right about the metaphysics, but that Shoemaker and Lewis are wrong about the epistemology. Properties have intrinsic natures (quiddities), which we can know.
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  • Ontological symmetry in language: A brief manifesto.Philippe Schlenker - 2006 - Mind and Language 21 (4):504–539.
    In the tradition of quantified modal logic, it was assumed that significantly different linguistic systems underlie reference to individuals, to times and to 'possible worlds'. Various results from recent research in formal semantics suggest that this is not so, and that there is in fact a pervasive symmetry between the linguistic means with which we refer to these three domains. Reference to individuals, times and worlds is uniformly effected through generalized quantifiers, definite descriptions, and pronouns, and in each domain grammatical (...)
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  • Non-strict Interventionism: The Case Of Right-Nested Counterfactuals.Katrin Schulz, Sonja Smets, Fernando R. Velázquez-Quesada & Kaibo Xie - 2022 - Journal of Logic, Language and Information 31 (2):235-260.
    The paper focuses on a recent challenge brought forward against the interventionist approach to the meaning of counterfactual conditionals. According to this objection, interventionism cannot account for the interpretation of right-nested counterfactuals, the problem being its strict interventionism. We will report on the results of an empirical study supporting the objection. Furthermore, we will extend the well-known logic of intervention with a new operator expressing an alternative notion of intervention that does away with strict interventionism. This new notion of intervention (...)
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  • Modalised conditionals: a response to Willer.Moritz Schulz - 2013 - Philosophical Studies 163 (3):673-682.
    A paper by Schulz (Philos Stud 149:367–386, 2010) describes how the suppositional view of indicative conditionals can be supplemented with a derived view of epistemic modals. In a recent criticism of this paper, Willer (Philos Stud 153:365–375, 2011) argues that the resulting account of conditionals and epistemic modals cannot do justice to the validity of certain inference patterns involving modalised conditionals. In the present response, I analyse Willer’s argument, identify an implicit presupposition which can plausibly be denied and show that (...)
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  • Minimal belief change and the pareto principle.Oliver Schulte - 1999 - Synthese 118 (3):329-361.
    This paper analyzes the notion of a minimal belief change that incorporates new information. I apply the fundamental decision-theoretic principle of Pareto-optimality to derive a notion of minimal belief change, for two different representations of belief: First, for beliefs represented by a theory – a deductively closed set of sentences or propositions – and second for beliefs represented by an axiomatic base for a theory. Three postulates exactly characterize Pareto-minimal revisions of theories, yielding a weaker set of constraints than the (...)
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  • Conditionals from a Linguistic Point of View: Two Case Studies.Katrin Schulz - 2015 - Journal of Philosophical Logic 44 (6):805-816.
    IntroductionThe meaning of conditional sentences bears an intrinsic relation to a number of central philosophical problems, like the nature of reasoning, the possibility of knowledge, and the status of laws of nature. This has incited philosophers to spend a lot of time working on conditionals and to fill countless bookshelves with inspiring and sophisticated theories on their meaning. However, the overall question of how to approach the meaning of conditionals is still open. There are many different theories on the market, (...)
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  • Can determinable properties earn their keep?Robert Schroer - 2011 - Synthese 183 (2):229-247.
    Sydney Shoemaker's "Subset Account" offers a new take on determinable properties and the realization relation as well as a defense of non-reductive physicalism from the problem of mental causation. At the heart of this account are the claims that (1) mental properties are determinable properties and (2) the causal powers that individuate a determinable property are a proper subset of the causal powers that individuate the determinates of that property. The second claim, however, has led to the accusation that the (...)
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  • Counterfactual Probability.Ginger Schultheis - 2023 - Journal of Philosophy 120 (11):581-614.
    Stalnaker's Thesis about indicative conditionals is, roughly, that the probability one ought to assign to an indicative conditional equals the probability that one ought to assign to its consequent conditional on its antecedent. The thesis seems right. If you draw a card from a standard 52-card deck, how confident are you that the card is a diamond if it's a red card? To answer this, you calculate the proportion of red cards that are diamonds -- that is, you calculate the (...)
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  • Counterfactuals and Arbitrariness.Moritz Schulz - 2014 - Mind 123 (492):1021-1055.
    The pattern of credences we are inclined to assign to counterfactuals challenges standard accounts of counterfactuals. In response to this problem, the paper develops a semantics of counterfactuals in terms of the epsilon-operator. The proposed semantics stays close to the standard account: the epsilon-operator substitutes the universal quantifier present in standard semantics by arbitrarily binding the open world-variable. Various applications of the suggested semantics are explored including, in particular, an explanation of how the puzzling credences in counterfactuals come about.
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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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  • Anscombe's Intention: A Guide. [REVIEW]Benjamin Schulz - 2021 - Philosophical Quarterly 71 (2):438-440.
    Anscombe's Intention: A Guide. By Schwenkler John.
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  • Adverbial, descriptive reciprocals.Barry Schein - 2003 - Philosophical Perspectives 17 (1):333–367.
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  • Lessons from Descriptive Indexicals.Kjell Johan Sæbø - 2015 - Mind 124 (496):1111-1161.
    Two main methods for analysing de re readings of definite descriptions in intensional contexts coexist: that of evaluating the description in the actual world, whether by means of scope, actuality operators, or non-local world binding, and that of substituting another description, usually one expressing a salient or ‘vivid’ acquaintance relation to an attitude holder, prior to evaluation. Recent work on so-called descriptive indexicals suggests that contrary to common assumptions, both methods are needed, for different ends. This paper aims to show (...)
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  • Concrete possible worlds and counterfactual conditionals: Lewis versus Williamson on modal knowledge.Andrea Sauchelli - 2010 - Synthese 176 (3):345-359.
    The epistemology of modality is gradually coming to play a central role in general discussions about modality. This paper is a contribution in this direction, in particular I draw a comparison between Lewis’s Modal realism and Timothy Williamson’s recent account of modality in terms of counterfactual thinking. In order to have criteria of evaluation, I also formulate four requirements which are supposed to be met by any theory of modality to be epistemologically adequate.
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  • Concrete possible worlds and counterfactual conditionals: Lewis versus Williamson on modal knowledge.Andrea Sauchelli - 2010 - Synthese 176 (3):345-359.
    The epistemology of modality is gradually coming to play a central role in general discussions about modality. This paper is a contribution in this direction, in particular I draw a comparison between Lewis’s Modal realism and Timothy Williamson’s recent account of modality in terms of counterfactual thinking. In order to have criteria of evaluation, I also formulate four requirements which are supposed to be met by any theory of modality to be epistemologically adequate.
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  • Reference and Monstrosity.Paolo Santorio - 2012 - Philosophical Review 121 (3):359-406.
    According to the orthodox account developed by Kaplan, indexicals like I, you, and now invariably refer to elements of the context of speech. This essay argues that the orthodoxy is wrong. I, you, and the like are shifted by certain modal operators and hence can fail to refer to elements of the context, for example, I can fail to refer to the speaker. More precisely, indexicals are syntactically akin to logical variables. They can be free, in which case they work, (...)
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  • Path Semantics for Indicative Conditionals.Paolo Santorio - 2022 - Mind 131 (521):59-98.
    The literature on indicative conditionals contains two appealing views. The first is the selectional view: on this view, conditionals operate by selecting a single possibility, which is used to evaluate the consequent. The second is the informational view: on this view, conditionals don’t express propositions, but rather impose constraints on information states of speakers. Both views are supported by strong arguments, but they are incompatible on their standard formulations. Hence it appears that we have to choose between mutually exclusive options. (...)
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  • Hybrid counterfactual logics David Lewis meets Arthur prior again.Katsuhiko Sano - 2009 - Journal of Logic, Language and Information 18 (4):515-539.
    The purpose of this paper is to argue that the hybrid formalism fits naturally in the context of David Lewis’s counterfactual logic and that its introduction into this framework is desirable. This hybridization enables us to regard the inference “The pig is Mary; Mary is pregnant; therefore the pig is pregnant” as a process of updating local information (which depends on the given situation) by using global information (independent of the situation). Our hybridization also has the following technical advantages: (i) (...)
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  • Circularities in the Analysis of Counterfactuals.Tor Sandqvist - 2003 - Studia Logica 73 (2):281-298.
    Expanding on a discussion by Hansson, this paper treats of Goodman's and Lewis' accounts of counterfactual conditionals, comparing the senses in which these theories may be accused of circularity. While I do maintain that in this respect Lewis has an edge over Goodman, the paper's aim is not so much to reach a firm conclusion as to disentangle some previously conflated aspects of the issue. It is also suggested that the importance of avoiding circularity may vary depending on the philosophical (...)
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  • Sums and Grounding.Noël B. Saenz - 2018 - Australasian Journal of Philosophy 96 (1):102-117.
    As I will use the term, an object is a mereological sum of some things just in case those things compose it simply in virtue of existing. In the first half of this paper, I argue that there are no sums. The key premise for this conclusion relies on a constraint on what, in certain cases, it takes for something to ground, or metaphysically explain, something else. In the second half, I argue that in light of my argument against sums, (...)
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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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  • Reapproaching Ramsey: Conditionals and Iterated Belief Change in the Spirit of AGM.Hans Rott - 2011 - Journal of Philosophical Logic 40 (2):155-191.
    According to the Ramsey Test, conditionals reflect changes of beliefs: α > β is accepted in a belief state iff β is accepted in the minimal revision of it that is necessary to accommodate α. Since Gärdenfors’s seminal paper of 1986, a series of impossibility theorems (“triviality theorems”) has seemed to show that the Ramsey test is not a viable analysis of conditionals if it is combined with AGM-type belief revision models. I argue that it is possible to endorse that (...)
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  • Living in a Material World: A Critical Notice of Suppose and Tell: The Semantics and Heuristics of Conditionals by Timothy Williamson.Daniel Rothschild - 2023 - Mind 132 (525):208-233.
    Barristers in England are obliged to follow the ‘cab rank rule’, according to which they must take any case offered to them, as long as they have time in their.
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  • Ifs, though, and because.Hans Rott - 1986 - Erkenntnis 25 (3):345-370.
    The paper proposes a unified analysis of the natural language connectives 'if', 'if … might', 'even if' (all of them with indicative and subjunctive mood), 'because' and 'though'. They are all interpreted as instances of universal (pro)conditionals, unconditionals, or counterconditionals. The paper imports the notion of relevance into the meaning of conditionals, viewing conditionals as close in meaning to explanations and statements about causal relations. The antecedent of a conditional is interpreted as being relevant for its consequent, thus avoiding the (...)
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  • Conditionals and Propositions in Semantics.Daniel Rothschild - 2015 - Journal of Philosophical Logic 44 (6):781-791.
    IntroductionThe project of giving an account of meaning in natural languages goes largely by assigning truth-conditional content to sentences. I will call the view that sentences have truth-conditional content propositionalism as it is common to identify the truth-conditional content of a sentence with the proposition it expresses. This content plays an important role in our explanations of the speech-acts, attitude ascriptions, and the meaning of sentences when they appear as parts of longer sentences. Much work in philosophy of language and (...)
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  • The dynamical essence of powers.Andrea Roselli & Christopher Austin - 2021 - Synthese 199 (5):14951-14973.
    Powers are properties defined by what they do. The focus of the large majority of the powers literature has been mainly put on explicating the (multifaceted) results of the production of a power in certain (multifaceted) initial conditions: but all this causal complexity is bound to be—and, in fact, it has proved to be—quite difficult to handle. In this paper we take a different approach by focusing on the very activity of producing those multifaceted manifestations themselves. In this paper, we (...)
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  • Peer Disagreement: A Call for the Revision of Prior Probabilities.Sven Rosenkranz & Moritz Schulz - 2015 - Dialectica 69 (4):551-586.
    The current debate about peer disagreement has so far mainly focused on the question of whether peer disagreements provide genuine counterevidence to which we should respond by revising our credences. By contrast, comparatively little attention has been devoted to the question by which process, if any, such revision should be brought about. The standard assumption is that we update our credences by conditionalizing on the evidence that peer disagreements provide. In this paper, we argue that non-dogmatist views have good reasons (...)
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  • Causal modeling semantics for counterfactuals with disjunctive antecedents.Giuliano Rosella & Jan Sprenger - forthcoming - Annals of Pure and Applied Logic.
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  • Counterfactuals as modal conditionals, and their probability.Giuliano Rosella, Tommaso Flaminio & Stefano Bonzio - 2023 - Artificial Intelligence 323 (C):103970.
    In this paper we propose a semantic analysis of Lewis' counterfactuals. By exploiting the structural properties of the recently introduced boolean algebras of conditionals, we show that counterfactuals can be expressed as formal combinations of a conditional object and a normal necessity modal operator. Specifically, we introduce a class of algebras that serve as modal expansions of boolean algebras of conditionals, together with their dual relational structures. Moreover, we show that Lewis' semantics based on sphere models can be reconstructed in (...)
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  • Conditionals and specific links—an experimental study.Wojciech Rostworowski, Natalia Pietrulewicz & Marcin Bedkowski - 2021 - Synthese 199 (3-4):7365-7399.
    Based on the new experimental evidence, we argue that a link between a conditional antecedent and the consequent is semantically expressed rather than pragmatically conveyed. In our paper, we focus on particular kinds of links which conditionals may convey in a context. For instance, a conditional ‘If p, q’ may convey a thought equivalent to ‘p will cause q’, ‘p is the best explanation for q’, ‘q follows from p’, etcetera. The traditional theoretical literature on conditionals seems to imply that (...)
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  • Um problema para a epistemologia anti-sorte de Pritchard.Lucas Roisenberg Rodrigues - 2017 - Veritas – Revista de Filosofia da Pucrs 62 (3):683-704.
    Este artigo propõe uma crítica à epistemologia anti-sorte, tal como defendida por Duncan Pritchard. A teoria de Pritchard é uma das mais bem desenvolvidas explorações do conceito de sorte, e da sua significação epistêmica. Ele julga possível derivar uma condição que exclua a sorte epistêmica a partir de uma análise modal do conceito de sorte. A cláusula epistêmica resultante é uma condição denominada princípio de segurança. Após apresentar a teoria e algumas de suas motivações, argumento que ela não consegue responder (...)
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  • The epistemic significance of non-epistemic factors: an introduction.Andrea Robitzsch, Nikola Kompa & Igal Kvart - 2022 - Synthese 200 (3):1-11.
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  • The Ideal Observer Theory and Motivational Internalism.Daniel Rönnedal - 2015 - Kriterion - Journal of Philosophy 29 (1):79-98.
    In this paper I show that one version of motivational internalism follows from the so-called ideal observer theory. Let us call the version of the ideal observer theory used in this essay (IOT). According to (IOT), it is necessarily the case that it ought to be that A if and only if every ideal observer wants it to be the case that A. We shall call the version of motivational internalism that follows from (IOT) (moral) conditional belief motivational internalism (CBMI). (...)
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  • Counterfactuals and semantic tableaux.Daniel Rönnedal - 2009 - Logic and Logical Philosophy 18 (1):71-91.
    The purpose of this paper is to develop a class of semantic tableau systems for some counterfactual logics. All in all I will discuss 1024 systems. Possible world semantics is used to interpret our formal languages. Soundness results are obtained for every tableau system and completeness results for a large subclass of these.
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