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The Adams family

Cognition 117 (3):302-318 (2010)

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  1. Indicative Conditionals: Probabilities and Relevance.Franz Berto & Aybüke Özgün - 2021 - Philosophical Studies (11):3697-3730.
    We propose a new account of indicative conditionals, giving acceptability and logical closure conditions for them. We start from Adams’ Thesis: the claim that the acceptability of a simple indicative equals the corresponding conditional probability. The Thesis is widely endorsed, but arguably false and refuted by empirical research. To fix it, we submit, we need a relevance constraint: we accept a simple conditional 'If φ, then ψ' to the extent that (i) the conditional probability p(ψ|φ) is high, provided that (ii) (...)
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  • Certain and Uncertain Inference with Indicative Conditionals.Paul Égré, Lorenzo Rossi & Jan Sprenger - forthcoming - Australasian Journal of Philosophy.
    This paper develops a trivalent semantics for the truth conditions and the probability of the natural language indicative conditional. Our framework rests on trivalent truth conditions first proposed by Cooper (1968) and Belnap (1973) and it yields two logics of conditional reasoning: (i) a logic C of certainty-preserving inference; and (ii) a logic U for uncertain reasoning that preserves the probability of the premises. We show systematic correspondences between trivalent and probabilistic representations of inferences in either framework, and we use (...)
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  • Experimental Explication.Jonah N. Schupbach - 2017 - Philosophy and Phenomenological Research 94 (3):672-710.
    Two recently popular metaphilosophical movements, formal philosophy and experimental philosophy, promote what seem to be conflicting methodologies. Nonetheless, I argue that the two can be mutually supportive. I propose an experimentally-informed variation on explication, a powerful formal philosophical tool introduced by Carnap. The resulting method, which I call “experimental explication,” provides the formalist with a means of responding to explication's gravest criticism. Moreover, this method introduces a philosophically salient, positive role for survey-style experiments while steering clear of several objections that (...)
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  • The relevance effect and conditionals.Niels Skovgaard-Olsen, Henrik Singmann & Karl Christoph Klauer - 2016 - Cognition 150 (C):26-36.
    More than a decade of research has found strong evidence for P(if A, then C) = P(C|A) (“the Equation”). We argue, however, that this hypothesis provides an overly simplified picture due to its inability to account for relevance. We manipulated relevance in the evaluation of the probability and acceptability of indicative conditionals and found that relevance moderates the effect of P(C|A). This corroborates the Default and Penalty Hypothesis put forward in this paper. Finally, the probability and acceptability of concessive conditionals (...)
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  • Bayesian Argumentation and the Value of Logical Validity.Benjamin Eva & Stephan Hartmann - unknown
    According to the Bayesian paradigm in the psychology of reasoning, the norms by which everyday human cognition is best evaluated are probabilistic rather than logical in character. Recently, the Bayesian paradigm has been applied to the domain of argumentation, where the fundamental norms are traditionally assumed to be logical. Here, we present a major generalisation of extant Bayesian approaches to argumentation that (i)utilizes a new class of Bayesian learning methods that are better suited to modelling dynamic and conditional inferences than (...)
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  • De Finettian Logics of Indicative Conditionals Part I: Trivalent Semantics and Validity.Paul Égré, Lorenzo Rossi & Jan Sprenger - 2020 - Journal of Philosophical Logic 50 (2):187-213.
    This paper explores trivalent truth conditions for indicative conditionals, examining the “defective” truth table proposed by de Finetti and Reichenbach. On their approach, a conditional takes the value of its consequent whenever its antecedent is true, and the value Indeterminate otherwise. Here we deal with the problem of selecting an adequate notion of validity for this conditional. We show that all standard validity schemes based on de Finetti’s table come with some problems, and highlight two ways out of the predicament: (...)
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  • Cancellation, Negation, and Rejection.Niels Skovgaard-Olsen, Peter Collins, Karolina Krzyżanowska, Ulrike Hahn & Karl Christoph Klauer - 2019 - Cognitive Psychology 108:42-71.
    In this paper, new evidence is presented for the assumption that the reason-relation reading of indicative conditionals ('if A, then C') reflects a conventional implicature. In four experiments, it is investigated whether relevance effects found for the probability assessment of indicative conditionals (Skovgaard-Olsen, Singmann, and Klauer, 2016a) can be classified as being produced by a) a conversational implicature, b) a (probabilistic) presupposition failure, or c) a conventional implicature. After considering several alternative hypotheses and the accumulating evidence from other studies as (...)
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  • Uncertainty and the de Finetti tables.Jean Baratgin, David E. Over & Guy Politzer - 2013 - Thinking and Reasoning 19 (3-4):308-328.
    The new paradigm in the psychology of reasoning adopts a Bayesian, or prob- abilistic, model for studying human reasoning. Contrary to the traditional binary approach based on truth functional logic, with its binary values of truth and falsity, a third value that represents uncertainty can be introduced in the new paradigm. A variety of three-valued truth table systems are available in the formal literature, including one proposed by de Finetti. We examine the descriptive adequacy of these systems for natural language (...)
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  • Conditionals, Causality and Conditional Probability.Robert van Rooij & Katrin Schulz - 2018 - Journal of Logic, Language and Information 28 (1):55-71.
    The appropriateness, or acceptability, of a conditional does not just ‘go with’ the corresponding conditional probability. A condition of dependence is required as well. In this paper a particular notion of dependence is proposed. It is shown that under both a forward causal and a backward evidential reading of the conditional, this appropriateness condition reduces to conditional probability under some natural circumstances. Because this is in particular the case for the so-called diagnostic reading of the conditional, this analysis might help (...)
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  • The Probabilities of Conditionals Revisited.Igor Douven & Sara Verbrugge - 2013 - Cognitive Science 37 (4):711-730.
    According to what is now commonly referred to as “the Equation” in the literature on indicative conditionals, the probability of any indicative conditional equals the probability of its consequent of the conditional given the antecedent of the conditional. Philosophers widely agree in their assessment that the triviality arguments of Lewis and others have conclusively shown the Equation to be tenable only at the expense of the view that indicative conditionals express propositions. This study challenges the correctness of that assessment by (...)
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  • Questions and challenges for the new psychology of reasoning.Jonathan St B. T. Evans - 2012 - Thinking and Reasoning 18 (1):5 - 31.
    In common with a number of other authors I believe that there has been a paradigm shift in the psychology of reasoning, specifically the area traditionally labelled as the study of deduction. The deduction paradigm was founded in a philosophical tradition that assumed logicality as the basis for rational thought, and provided binary propositional logic as the agreed normative framework. By contrast, many contemporary authors assume that people have degrees of uncertainty in both premises and conclusions, and reject binary logic (...)
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  • The role of explanatory considerations in updating.Igor Douven & Jonah N. Schupbach - 2015 - Cognition 142 (C):299-311.
    There is an ongoing controversy in philosophy about the connection between explanation and inference. According to Bayesians, explanatory considerations should be given weight in determining which inferences to make, if at all, only insofar as doing so is compatible with Strict Conditionalization. Explanationists, on the other hand, hold that explanatory considerations can be relevant to the question of how much confidence to invest in our hypotheses in ways which violate Strict Conditionalization. The controversy has focused on normative issues. This paper (...)
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  • Decomposing relevance in conditionals.Daniel Lassiter - 2023 - Mind and Language 38 (3):644-668.
    Conditionals frequently convey that the antecedent is relevant to the consequent. Recently many authors have argued that this relevance is part of the conventional meaning of conditionals, but this approach fails to account for many examples where a conditional is used to conveyirrelevance of antecedent to consequent. Both types of conditionals are best explained by a conventional meaning with no relevance requirement, and a separate process of coherence establishment among successive clauses in discourse. This account is supported by the distribution (...)
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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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  • How to account for the oddness of missing-link conditionals.Igor Douven - 2017 - Synthese 194 (5).
    Conditionals whose antecedent and consequent are not somehow internally connected tend to strike us as odd. The received doctrine is that this felt oddness is to be explained pragmatically. Exactly how the pragmatic explanation is supposed to go has remained elusive, however. This paper discusses recent philosophical and psychological work that attempts to account semantically for the apparent oddness of conditionals lacking an internal connection between their parts.
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  • Probabilistic Alternatives to Bayesianism: The Case of Explanationism.Igor Douven & Jonah N. Schupbach - 2015 - Frontiers in Psychology 6.
    There has been a probabilistic turn in contemporary cognitive science. Far and away, most of the work in this vein is Bayesian, at least in name. Coinciding with this development, philosophers have increasingly promoted Bayesianism as the best normative account of how humans ought to reason. In this paper, we make a push for exploring the probabilistic terrain outside of Bayesianism. Non-Bayesian, but still probabilistic, theories provide plausible competitors both to descriptive and normative Bayesian accounts. We argue for this general (...)
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  • A Ranking‐Theoretic Approach to Conditionals.Wolfgang Spohn - 2013 - Cognitive Science 37 (6):1074-1106.
    Conditionals somehow express conditional beliefs. However, conditional belief is a bi-propositional attitude that is generally not truth-evaluable, in contrast to unconditional belief. Therefore, this article opts for an expressivistic semantics for conditionals, grounds this semantics in the arguably most adequate account of conditional belief, that is, ranking theory, and dismisses probability theory for that purpose, because probabilities cannot represent belief. Various expressive options are then explained in terms of ranking theory, with the intention to set out a general interpretive scheme (...)
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  • Conditionals and inferential connections: toward a new semantics.Igor Douven, Shira Elqayam, Henrik Singmann & Janneke van Wijnbergen-Huitink - 2020 - Thinking and Reasoning 26 (3):311-351.
    In previous published research (“Conditionals and Inferential Connections: A Hypothetical Inferential Theory,” Cognitive Psychology, 2018), we investigated experimentally what role the presence and strength of an inferential connection between a conditional’s antecedent and consequent plays in how people process that conditional. Our analysis showed the strength of that connection to be strongly predictive of whether participants evaluated the conditional as true, false, or neither true nor false. In this article, we re-analyse the data from our previous research, now focussing on (...)
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  • New paradigm psychology of reasoning: An introduction to the special issue edited by Elqayam, Bonnefon, and Over.Shira Elqayam & David E. Over - 2013 - Thinking and Reasoning 19 (3-4):249-265.
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  • New normative standards of conditional reasoning and the dual-source model.Henrik Singmann, Karl Christoph Klauer & David Over - 2014 - Frontiers in Psychology 5.
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  • Uncertain deduction and conditional reasoning.Jonathan St B. T. Evans, Valerie A. Thompson & David E. Over - 2015 - Frontiers in Psychology 6.
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  • The Psychology of Uncertainty and Three-Valued Truth Tables.Jean Baratgin, Guy Politzer, David E. Over & Tatsuji Takahashi - 2018 - Frontiers in Psychology 9:394374.
    Psychological research on people’s understanding of natural language connectives has traditionally used truth table tasks, in which participants evaluate the truth or falsity of a compound sentence given the truth or falsity of its components in the framework of propositional logic. One perplexing result concerned the indicative conditional if A then C which was often evaluated as true when A and C are true, false when A is true and C is false but irrelevant“ (devoid of value) when A is (...)
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  • Inferential Conditionals and Evidentiality.K. Krzyżanowska, S. Wenmackers & I. Douven - 2013 - Journal of Logic, Language and Information 22 (3):315-334.
    Many conditionals seem to convey the existence of a link between their antecedent and consequent. We draw on a recently proposed typology of conditionals to argue for an old philosophical idea according to which the link is inferential in nature. We show that the proposal has explanatory force by presenting empirical results on the evidential meaning of certain English and Dutch modal expressions.
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  • Rethinking Gibbard’s Riverboat Argument.Karolina Krzyżanowska, Sylvia Wenmackers & Igor Douven - 2014 - Studia Logica 102 (4):771-792.
    According to the Principle of Conditional Non-Contradiction (CNC), conditionals of the form “If p, q” and “If p, not q” cannot both be true, unless p is inconsistent. This principle is widely regarded as an adequacy constraint on any semantics that attributes truth conditions to conditionals. Gibbard has presented an example of a pair of conditionals that, in the context he describes, appear to violate CNC. He concluded from this that conditionals lack truth conditions. We argue that this conclusion is (...)
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  • Revisiting McGee’s Probabilistic Analysis of Conditionals.John Cantwell - 2022 - Journal of Philosophical Logic (5):1-45.
    This paper calls for a re-appraisal of McGee's analysis of the semantics, logic and probabilities of indicative conditionals presented in his 1989 paper Conditional probabilities and compounds of conditionals. The probabilistic measures introduced by McGee are given a new axiomatisation built on the principle that the antecedent of a conditional is probabilistically independent of the conditional and a more transparent method of constructing such measures is provided. McGee's Dutch book argument is restructured to more clearly reveal that it introduces a (...)
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  • Williamson on Indicatives and Suppositional Heuristics.Franz Berto - 2022 - Synthese (1):1-12.
    Timothy Williamson has defended the claim that the semantics of the indicative ‘if’ is given by the material conditional. Putative counterexamples can be handled by better understanding the role played in our assessment of indicatives by a fallible cognitive heuristic, called the Suppositional Procedure. Williamson’s Suppositional Conjecture has it that the Suppositional Procedure is humans’ primary way of prospectively assessing conditionals. This paper raises some doubts on the Suppositional Procedure and Conjecture.
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  • Indicatives, concessives, and evidential support.Igor Douven & Sara Verbrugge - 2012 - Thinking and Reasoning 18 (4):480-499.
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  • (1 other version)A Note on the Epistemological Value of Pretense Imagination.Tom Schoonen - 2024 - Episteme 21 (1):99-118.
    Pretense imagination is imagination understood as the ability to recreate rational belief revision. This kind of imagination is used in pretend-play, risk-assessment, etc. Some even claim that this kind of hypothetical belief revision can be grounds to justify new beliefs in conditionals, in particular conditionals that play a foundational role in the epistemology of modality. In this paper, I will argue that it cannot. I will first provide a very general theory of pretense imagination, which I formalise using tools from (...)
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  • Formal Epistemology and the New Paradigm Psychology of Reasoning.Niki Pfeifer & Igor Douven - 2014 - Review of Philosophy and Psychology 5 (2):199-221.
    This position paper advocates combining formal epistemology and the new paradigm psychology of reasoning in the studies of conditionals and reasoning with uncertainty. The new paradigm psychology of reasoning is characterized by the use of probability theory as a rationality framework instead of classical logic, used by more traditional approaches to the psychology of reasoning. This paper presents a new interdisciplinary research program which involves both formal and experimental work. To illustrate the program, the paper discusses recent work on the (...)
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  • Reasoning to and from belief: Deduction and induction are still distinct.Jonathan St B. T. Evans & David E. Over - 2013 - Thinking and Reasoning 19 (3-4):267-283.
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  • A Puzzle About Stalnaker’s Hypothesis.Igor Douven & Richard Dietz - 2011 - Topoi 30 (1):31-37.
    According to Stalnaker’s Hypothesis, the probability of an indicative conditional, $\Pr(\varphi \rightarrow \psi),$ equals the probability of the consequent conditional on its antecedent, $\Pr(\psi | \varphi)$ . While the hypothesis is generally taken to have been conclusively refuted by Lewis’ and others’ triviality arguments, its descriptive adequacy has been confirmed in many experimental studies. In this paper, we consider some possible ways of resolving the apparent tension between the analytical and the empirical results relating to Stalnaker’s Hypothesis and we argue (...)
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  • Abductive conditionals as a test case for inferentialism.Patricia Mirabile & Igor Douven - 2020 - Cognition 200 (C):104232.
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  • New Psychological Paradigm for Conditionals and General de Finetti Tables.J. Baratgin, D. Over & G. Politzer - 2014 - Mind and Language 29 (1):73-84.
    The new Bayesian paradigm in the psychology of reasoning aims to integrate the study of human reasoning, decision making, and rationality. It is supported by two findings. One, most people judge the probability of the indicative conditional, P(if A then B), to be the conditional probability, P(B|A), as implied by the Ramsey test. Two, they judge if A then B to be void when A is false. Their three-valued response table used to be called ‘defective’, but should be termed the (...)
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  • Scope ambiguities and conditionals.David Over, Igor Douven & Sara Verbrugge - 2013 - Thinking and Reasoning 19 (3-4):284-307.
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  • Learning Conditional Information.Igor Douven - 2012 - Mind and Language 27 (3):239-263.
    Some of the information we receive comes to us in an explicitly conditional form. It is an open question how to model the accommodation of such information in a Bayesian framework. This paper presents data suggesting that there may be no strictly Bayesian account of updating on conditionals. Specifically, the data seem to indicate that such updating at least sometimes proceeds on the basis of explanatory considerations, which famously have no home in standard Bayesian epistemology. The paper also proposes a (...)
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  • Triviality Results, Conditional Probability, and Restrictor Conditionals.Jonathan Vandenburgh - manuscript
    Conditional probability is often used to represent the probability of the conditional. However, triviality results suggest that the thesis that the probability of the conditional always equals conditional probability leads to untenable conclusions. In this paper, I offer an interpretation of this thesis in a possible worlds framework, arguing that the triviality results make assumptions at odds with the use of conditional probability. I argue that these assumptions come from a theory called the operator theory and that the rival restrictor (...)
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  • The Conditional in Three-Valued Logic.Jan Sprenger - forthcoming - In Paul Egre & Lorenzo Rossi, Handbook of Three-Valued Logic. Cambridge, Massachusetts: The MIT Press.
    By and large, the conditional connective in three-valued logic has two different functions. First, by means of a deduction theorem, it can express a specific relation of logical consequence in the logical language itself. Second, it can represent natural language structures such as "if/then'' or "implies''. This chapter surveys both approaches, shows why none of them will typically end up with a three-valued material conditional, and elaborates on connections to probabilistic reasoning.
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  • Bayesian sensitivity principles for evidence based knowledge.Ángel Pinillos - 2021 - Philosophical Studies 179 (2):495-516.
    In this paper, I propose and defend a pair of necessary conditions on evidence-based knowledge which bear resemblance to the troubled sensitivity principles defended in the philosophical literature. We can think of the traditional principles as simple but inaccurate approximations of the new proposals. Insofar as the old principles are intuitive and used in scientific and philosophical contexts, but are plausibly false, there’s a real need to develop precise and correct formulations. These new renditions turned out to be more cautious, (...)
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  • An Expressivist Analysis of the Indicative Conditional with a Restrictor Semantics.John Cantwell - 2021 - Review of Symbolic Logic 14 (2):487-530.
    A globally expressivist analysis of the indicative conditional based on the Ramsey Test is presented. The analysis is a form of ‘global’ expressivism in that it supplies acceptance and rejection conditions for all the sentence forming connectives of propositional logic (negation, disjunction, etc.) and so allows the conditional to embed in arbitrarily complex sentences (thus avoiding the Frege–Geach problem). The expressivist framework is semantically characterized in a restrictor semantics due to Vann McGee, and is completely axiomatized in a logic dubbed (...)
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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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  • The Probability of Iterated Conditionals.Janneke van Wijnbergen-Huitink, Shira Elqayam & David E. Over - 2015 - Cognitive Science 39 (4):788-803.
    Iterated conditionals of the form If p, then if q, r are an important topic in philosophical logic. In recent years, psychologists have gained much knowledge about how people understand simple conditionals, but there are virtually no published psychological studies of iterated conditionals. This paper presents experimental evidence from a study comparing the iterated form, If p, then if q, r with the “imported,” noniterated form, If p and q, then r, using a probability evaluation task and a truth‐table task, (...)
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  • (1 other version)A Note on the Epistemological Value of Pretense Imagination.Tom Schoonen - 2021 - Episteme:1-20.
    Pretense imagination is imagination understood as the ability to recreate rational belief revision. This kind of imagination is used in pretend-play, risk-assessment, etc. Some even claim that this kind of hypothetical belief revision can be grounds to justify new beliefs in conditionals, in particular conditionals that play a foundational role in the epistemology of modality. In this paper, I will argue that it cannot. I will first provide a very general theory of pretense imagination, which I formalise using tools from (...)
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  • Putting Inferentialism and the Suppositional Theory of Conditionals to the Test.Niels Skovgaard-Olsen - 2017 - Dissertation, University of Freiburg
    This dissertation is devoted to empirically contrasting the Suppositional Theory of conditionals, which holds that indicative conditionals serve the purpose of engaging in hypothetical thought, and Inferentialism, which holds that indicative conditionals express reason relations. Throughout a series of experiments, probabilistic and truth-conditional variants of Inferentialism are investigated using new stimulus materials, which manipulate previously overlooked relevance conditions. These studies are some of the first published studies to directly investigate the central claims of Inferentialism empirically. In contrast, the Suppositional Theory (...)
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  • Nested conditionals and genericity in the de Finetti semantics.Daniel Lassiter & Jean Baratgin - 2021 - Thought: A Journal of Philosophy 10 (1):42-52.
    Thought: A Journal of Philosophy, Volume 10, Issue 1, Page 42-52, March 2021.
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  • The Probability of Iterated Conditionals.Janneke Wijnbergen‐Huitink, Shira Elqayam & David E. Over - 2015 - Cognitive Science 39 (4):788-803.
    Iterated conditionals of the form If p, then if q, r are an important topic in philosophical logic. In recent years, psychologists have gained much knowledge about how people understand simple conditionals, but there are virtually no published psychological studies of iterated conditionals. This paper presents experimental evidence from a study comparing the iterated form, If p, then if q, r with the “imported,” noniterated form, If p and q, then r, using a probability evaluation task and a truth-table task, (...)
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  • Probabilities, beliefs, and dual processing: the paradigm shift in the psychology of reasoning.Shira Elqayam & David Over - 2012 - Mind and Society 11 (1):27-40.
    In recent years, the psychology of reasoning has been undergoing a paradigm shift, with general Bayesian, probabilistic approaches replacing the older, much more restricted binary logic paradigm. At the same time, dual processing theories have been gaining influence. We argue that these developments should be integrated and moreover that such integration is already underway. The new reasoning paradigm should be grounded in dual processing for its algorithmic level of analysis just as it uses Bayesian theory for its computational level of (...)
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  • Rethinking the Acceptability and Probability of Indicative Conditionals.Michał Sikorski - 2022 - In Stefan Kaufmann, Over David & Ghanshyam Sharma, Conditionals: Logic, Linguistics and Psychology. Palgrave-Macmillan.
    The chapter is devoted to the probability and acceptability of indicative conditionals. Focusing on three influential theses, the Equation, Adams’ thesis, and the qualitative version of Adams’ thesis, Sikorski argues that none of them is well supported by the available empirical evidence. In the most controversial case of the Equation, the results of many studies which support it are, at least to some degree, undermined by some recent experimental findings. Sikorski discusses the Ramsey Test, and Lewis’s triviality proof, with special (...)
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  • Causal Conditionals, Tendency Causal Claims and Statistical Relevance.Michał Sikorski, van Dongen Noah & Jan Sprenger - 2024 - Review of Philosophy and Psychology 1:1-26.
    Indicative conditionals and tendency causal claims are closely related (e.g., Frosch and Byrne, 2012), but despite these connections, they are usually studied separately. A unifying framework could consist in their dependence on probabilistic factors such as high conditional probability and statistical relevance (e.g., Adams, 1975; Eells, 1991; Douven, 2008, 2015). This paper presents a comparative empirical study on differences between judgments on tendency causal claims and indicative conditionals, how these judgments are driven by probabilistic factors, and how these factors differ (...)
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  • Understanding Conditionals in the East: A Replication Study of Politzer et al. With Easterners.Hiroko Nakamura, Jing Shao, Jean Baratgin, David E. Over, Tatsuji Takahashi & Hiroshi Yama - 2018 - Frontiers in Psychology 9.
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  • John Cook Wilson.Mathieu Marion - 2010 - Stanford Encyclopedia of Philosophy.
    John Cook Wilson (1849–1915) was Wykeham Professor of Logic at New College, Oxford and the founder of ‘Oxford Realism’, a philosophical movement that flourished at Oxford during the first decades of the 20th century. Although trained as a classicist and a mathematician, his most important contribution was to the theory of knowledge, where he argued that knowledge is factive and not definable in terms of belief, and he criticized ‘hybrid’ and ‘externalist’ accounts. He also argued for direct realism in perception, (...)
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