•  516
    The Sequential Lottery Paradox
    Analysis 72 (1): 55-57. 2012.
    The Lottery Paradox is generally thought to point at a conflict between two intuitive principles, to wit, that high probability is sufficient for rational acceptability, and that rational acceptability is closed under logical derivability. Gilbert Harman has offered a solution to the Lottery Paradox that allows one to stick to both of these principles. The solution requires the principle that acceptance licenses conditionalization. The present study shows that adopting this principle alongside t…Read more
  •  45
    This paper is concerned with a version of Kamp and Partee's account of graded membership that relies on the conceptual spaces framework. Three studies are reported, one to construct a particular shape space, one to detect which shapes representable in that space are typical for certain sorts of objects, and one to elicit degrees of category membership for the various shapes from which the shape space was constructed. Taking Kamp and Partee's proposal as given, the first two studies allowed us to…Read more
  •  247
    Formal Methods in the Philosophy of Science
    Studia Logica 89 (2): 151-162. 2008.
    In this article, we reflect on the use of formal methods in the philosophy of science. These are taken to comprise not just methods from logic broadly conceived, but also from other formal disciplines such as probability theory, game theory, and graph theory. We explain how formal modelling in the philosophy of science can shed light on difficult problems in this domain.
  •  98
    The ecological rationality of explanatory reasoning
    Studies in History and Philosophy of Science Part A 79 (C): 1-14. 2020.
  •  169
    Verities, the sorites, and Theseus’ ship
    Synthese 194 (10): 3867-3878. 2017.
    Edgington has proposed a degree-theoretic account of vagueness that yields a highly elegant solution to the sorites paradox. This paper applies her account to the paradox of Theseus’ ship, which is generally classified among the paradoxes of material constitution and not as a sorites paradox.
  •  1403
    From probabilities to categorical beliefs: Going beyond toy models
    with Hans Rott
    Journal of Logic and Computation 28 (6): 1099-1124. 2018.
    According to the Lockean thesis, a proposition is believed just in case it is highly probable. While this thesis enjoys strong intuitive support, it is known to conflict with seemingly plausible logical constraints on our beliefs. One way out of this conflict is to make probability 1 a requirement for belief, but most have rejected this option for entailing what they see as an untenable skepticism. Recently, two new solutions to the conflict have been proposed that are alleged to be non-skeptica…Read more
  •  239
    The preface paradox revisited
    Erkenntnis 59 (3): 389-420. 2003.
    The Preface Paradox has led many philosophers to believe that, if it isassumed that high probability is necessary for rational acceptability, the principleaccording to which rational acceptability is closed under conjunction (CP)must be abandoned. In this paper we argue that the paradox is far less damaging to CP than is generally believed. We describe how, given certain plausibleassumptions, in a large class of cases in which CP seems to lead tocontradiction, it does not do so after all. A rest…Read more
  •  1234
    Scoring in context
    Synthese 197 (4): 1565-1580. 2020.
    A number of authors have recently put forward arguments pro or contra various rules for scoring probability estimates. In doing so, they have skipped over a potentially important consideration in making such assessments, to wit, that the hypotheses whose probabilities are estimated can approximate the truth to different degrees. Once this is recognized, it becomes apparent that the question of how to assess probability estimates depends heavily on context.
  •  209
    On the alleged impossibility of coherence
    with Wouter Meijs
    Synthese 157 (3). 2007.
    If coherence is to have justificatory status, as some analytical philosophers think it has, it must be truth-conducive, if perhaps only under certain specific conditions. This paper is a critical discussion of some recent arguments that seek to show that under no reasonable conditions can coherence be truth-conducive. More specifically, it considers Bovens and Hartmann’s and Olsson’s “impossibility results,” which attempt to show that coherence cannot possibly be a truth-conducive property. We p…Read more
  •  210
    What Verities May Be
    Mind 126 (502): 386-428. 2017.
    Edgington has proposed a solution to the sorites paradox in terms of ‘verities’, which she defines as degrees of closeness to clear truth. Central to her solution is the assumption that verities are formally probabilities. She is silent on what verities might derive from and on why they should be probabilities. This paper places Edgington’s solution in the framework of a spatial approach to conceptualization, arguing that verities may be conceived of as deriving from how our concepts relate to e…Read more
  • New Foundations for Fuzzy Set Theory
    In Andrew Aberdein & Matthew Inglis (eds.), Advances in Experimental Philosophy of Logic and Mathematics, Bloomsbury Academic. pp. 173--199. 2019.
  •  192
    Unger's argument for skepticism revisited
    with Diederik Olders
    Theoria 74 (3): 239-250. 2008.
    Unger (1974/2000) presents an argument for skepticism that significantly differs from the more traditional arguments for skepticism. The argument is based on two premises, to wit, that knowledge would entitle the knower to absolute certainty, and that an attitude of absolute certainty is always inadmissible from an epistemic viewpoint. The present paper scrutinizes the arguments that Unger provides in support of these premises and shows that none of them is tenable. It thus concludes that Unger'…Read more
  •  2
    Explanation, updating, and accuracy
    Journal of Cognitive Psychology 28 1004-1012. 2016.
  •  220
  •  64
    Reasoning with Imperfect Information and Knowledge
    with Gabriele Kern-Isberner, Markus Knauff, and Henri Prade
    Minds and Machines 27 (1): 7-9. 2017.
  • In a review of Adler’s Belief’s Own Ethics, I had challenged the book’s main argument for the thesis that we cannot but believe in accordance with our evidence. Van Willigenburg replied to the review, defending Adler’s argument against my critique. In the present note, I briefly respond to van Willigenburg.
  •  1068
    Delving deeper into color space
    I-Perception 9 (4): 1-27. 2018.
    So far, color-naming studies have relied on a rather limited set of color stimuli. Most importantly, stimuli have been largely limited to highly saturated colors. Because of this, little is known about how people categorize less saturated colors and, more generally, about the structure of color categories as they extend across all dimensions of color space. This article presents the results from a large Internet-based color-naming study that involved color stimuli ranging across all available ch…Read more
  •  118
    Theoretical terms and the principle of the benefit of doubt
    International Studies in the Philosophy of Science 14 (2). 2000.
    The Principle of the Benefit of Doubt dictates that, whenever reasonably possible, we interpret earlier-day scientists as referring to entities posited by current science. Putnam has presented the principle as supplementary to his Causal Theory of Reference in order to make this theory generally applicable to theoretical terms. The present paper argues that the principle is of doubtful standing. In particular, it will be argued that the principle lacks a justification and, indeed, is unjustifiab…Read more
  •  140
    A New Angle on the Knobe Effect: Intentionality Correlates with Blame, not with Praise
    with Frank Hindriks and Henrik Singmann
    Mind and Language 31 (2): 204-220. 2016.
    In a celebrated experiment, Joshua Knobe showed that people are much more prone to attribute intentionality to an agent for a side effect of a given act when that side effect is harmful than when it is beneficial. This asymmetry has become known as ‘the Knobe Effect’. According to Knobe's Moral Valence Explanation, bad effects trigger the attributions of intentionality, whereas good effects do not. Many others believe that the Knobe Effect is best explained in terms of the high amount of blame a…Read more
  •  158
    Conditionals and inferential connections: toward a new semantics
    with Shira Elqayam, Henrik Singmann, and Janneke van Wijnbergen-Huitink
    Thinking and Reasoning 26 (3): 311-351. 2020.
    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 fals…Read more
  •  225
    Uniqueness revisited
    American Philosophical Quarterly 46 (4): 347-361. 2009.
    Various authors have recently argued that you cannot rationally stick to your belief in the face of known disagreement with an epistemic peer, that is, a person you take to have the same evidence and judgmental skills as you do. For, they claim, because there is but one rational response to any body of evidence, a disagreement with an epistemic peer indicates that at least one of you is not responding rationally to the evidence. Given that you take your peer to have the same judgmental skills as…Read more
  •  1
    Conditionals and inferential connections: A hypothetical inferential theory
    with Shira Elqayam, Henrik Singmann, and Janneke van Wijngaarden-Huitink
    Cognitive Psychology 101 50-81. 2018.
  •  122
    The Lottery Paradox and the Pragmatics of Belief
    Dialectica 66 (3): 351-373. 2012.
    The thesis that high probability suffices for rational belief, while initially plausible, is known to face the Lottery Paradox. The present paper proposes an amended version of that thesis which escapes the Lottery Paradox. The amendment is argued to be plausible on independent grounds.
  •  186
    Probability of inconsistencies in theory revision
    with Sylvia Wenmackers and Danny E. P. Vanpoucke
    European Physical Journal B 85 (1). 2012.
    We present a model for studying communities of epistemically interacting agents who update their belief states by averaging the belief states of other agents in the community. The agents in our model have a rich belief state, involving multiple independent issues which are interrelated in such a way that they form a theory of the world. Our main goal is to calculate the probability for an agent to end up in an inconsistent belief state due to updating. To that end, an analytical expression is gi…Read more
  •  162
    Constraints on Colour Category Formation
    with Yasmina Jraissati, Elley Wakui, and Lieven Decock
    International Studies in the Philosophy of Science 26 (2): 171-196. 2012.
    This article addresses two questions related to colour categorization, to wit, the question what a colour category is, and the question how we identify colour categories. We reject both the relativist and universalist answers to these questions. Instead, we suggest that colour categories can be identified with the help of the criterion of psychological saliency, which can be operationalized by means of consistency and consensus measures. We further argue that colour categories can be defined as …Read more
  •  2954
    What are natural concepts? A design perspective
    Mind and Language 3 313-334. 2019.
    Conceptual spaces have become an increasingly popular modeling tool in cognitive psychology. The core idea of the conceptual spaces approach is that concepts can be represented as regions in similarity spaces. While it is generally acknowledged that not every region in such a space represents a natural concept, it is still an open question what distinguishes those regions that represent natural concepts from those that do not. The central claim of this paper is that natural concepts are represen…Read more