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Richard Pettigrew
Bristol University
  1. Bayesian Updating When What You Take Yourself to Learn Might Be False.Richard Pettigrew - manuscript
    Michael Rescorla (2020) has recently pointed out that the standard arguments for Bayesian Conditionalization assume that whenever you take yourself to learn something with certainty, it's true. Most people would reject this assumption. In response, Rescorla offers an improved Dutch Book argument for Bayesian Conditionalization that does not make this assumption. My purpose in this paper is two-fold. First, I want to illuminate Rescorla's new argument by giving a very general Dutch Book argument that applies to many cases of updating (...)
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  2. Radical Epistemology.Richard Pettigrew - manuscript
    When is a belief justified? I consider three sorts of arguments for different accounts of justification on the spectrum from extreme internalism to extreme externalism: arguments from intuitive responses to examples; arguments from the theoretical role of the term in epistemology; and arguments from the practical, moral, and political uses to which we wish to use the term. I focus particularly on the third sort, considering arguments from Clayton Littlejohn (2014) and Amia Srinivasan (2018) in favour of different versions of (...)
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    Radical Epistemology.Richard Pettigrew - manuscript
    When is a belief justified? I consider three sorts of arguments for different accounts of justification on the spectrum from extreme internalism to extreme externalism: arguments from intuitive responses to examples; arguments from the theoretical role of the term in epistemology; and arguments from the practical, moral, and political uses to which we wish to use the term. I focus particularly on the third sort, considering arguments from Clayton Littlejohn (2014) and Amia Srinivasan (2018) in favour of different versions of (...)
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  4. Logical Ignorance and Logical Learning.Richard Pettigrew - forthcoming - Synthese.
    According to certain normative theories in epistemology, rationality requires us to be logically omniscient. Yet this prescription clashes with our ordinary judgments of rationality. How should we resolve this tension? In this paper, I focus particularly on the logical omniscience requirement in Bayesian epistemology. Building on a key insight by Ian Hacking (1967), I develop a version of Bayesianism that permits logical ignorance. This includes an account of the synchronic norms that govern a logically ignorant individual at any given time, (...)
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  5. Transformative Experience and Decision Theory.Richard Pettigrew - 2015 - Philosophy and Phenomenological Research 91 (3):766-774.
    This paper is part of a book symposium for L. A. Paul (2014) Transformative Experience (OUP).
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  6. What is Conditionalization, and Why Should We Do It?Richard Pettigrew - forthcoming - Philosophical Studies:1-37.
    Conditionalization is one of the central norms of Bayesian epistemology. But there are a number of competing formulations, and a number of arguments that purport to establish it. In this paper, I explore which formulations of the norm are supported by which arguments. In their standard formulations, each of the arguments I consider here depends on the same assumption, which I call Deterministic Updating. I will investigate whether it is possible to amend these arguments so that they no longer depend (...)
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  7. What is Justified Credence?Richard Pettigrew - forthcoming - Episteme:1-15.
    In this paper, we seek a reliabilist account of justified credence. Reliabilism about justified beliefs comes in two varieties: process reliabilism (Goldman, 1979, 2008) and indicator reliabilism (Alston, 1988, 2005). Existing accounts of reliabilism about justified credence comes in the same two varieties: Jeff Dunn (2015) proposes a version of process reliabilism, while Weng Hong Tang (2016) offers a version of indicator reliabilism. As we will see, both face the same objection. If they are right about what justification is, it (...)
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  8. Veritism, Epistemic Risk, and the Swamping Problem.Richard Pettigrew - 2019 - Australasian Journal of Philosophy 97 (4):761-774.
    Veritism says that the fundamental source of epistemic value for a doxastic state is the extent to which it represents the world correctly: that is, its fundamental epistemic value is deter...
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  9. On the Accuracy of Group Credences.Richard Pettigrew - 2020 - Oxford Studies in Epistemology 6.
    to appear in Szabó Gendler, T. & J. Hawthorne (eds.) Oxford Studies in Epistemology volume 6 -/- We often ask for the opinion of a group of individuals. How strongly does the scientific community believe that the rate at which sea levels are rising increased over the last 200 years? How likely does the UK Treasury think it is that there will be a recession if the country leaves the European Union? What are these group credences that such questions request? (...)
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  10. Epistemic Utility and the Normativity of Logic.Richard Pettigrew - 2017 - Logos and Episteme 8 (4):455-492.
    How does logic relate to rational belief? Is logic normative for belief, as some say? What, if anything, do facts about logical consequence tell us about norms of doxastic rationality? In this paper, we consider a range of putative logic-rationality bridge principles. These purport to relate facts about logical consequence to norms that govern the rationality of our beliefs and credences. To investigate these principles, we deploy a novel approach, namely, epistemic utility theory. That is, we assume that doxastic attitudes (...)
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  11. Transformative Experience and the Knowledge Norms for Action: Moss on Paul’s Challenge to Decision Theory.Richard Pettigrew - 2020 - In Becoming Someone New: Essays on Transformative Experience, Choice, and Change. New York, NY, USA:
    to appear in Lambert, E. and J. Schwenkler (eds.) Transformative Experience (OUP) -/- L. A. Paul (2014, 2015) argues that the possibility of epistemically transformative experiences poses serious and novel problems for the orthodox theory of rational choice, namely, expected utility theory — I call her argument the Utility Ignorance Objection. In a pair of earlier papers, I responded to Paul’s challenge (Pettigrew 2015, 2016), and a number of other philosophers have responded in similar ways (Dougherty, et al. 2015, Harman (...)
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  12. Choosing for Changing Selves.Richard Pettigrew - 2019 - Oxford, UK: Oxford University Press.
    What we value, like, endorse, want, and prefer changes over the course of our lives. Richard Pettigrew presents a theory of rational decision making for agents who recognise that their values will change over time and whose decisions will affect those future times.
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  13. What We Talk About When We Talk About Numbers.Richard Pettigrew - 2018 - Annals of Pure and Applied Logic 169 (12):1437-1456.
    In this paper, I describe and motivate a new species of mathematical structuralism, which I call Instrumental Nominalism about Set-Theoretic Structuralism. As the name suggests, this approach takes standard Set-Theoretic Structuralism of the sort championed by Bourbaki and removes its ontological commitments by taking an instrumental nominalist approach to that ontology of the sort described by Joseph Melia and Gideon Rosen. I argue that this avoids all of the problems that plague other versions of structuralism.
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  14. On the Expected Utility Objection to the Dutch Book Argument for Probabilism.Richard Pettigrew - 2019 - Noûs 1.
    The Dutch Book Argument for Probabilism assumes Ramsey's Thesis (RT), which purports to determine the prices an agent is rationally required to pay for a bet. Recently, a new objection to Ramsey's Thesis has emerged (Hedden 2013, Wronski & Godziszewski 2017, Wronski 2018)--I call this the Expected Utility Objection. According to this objection, it is Maximise Subjective Expected Utility (MSEU) that determines the prices an agent is required to pay for a bet, and this often disagrees with Ramsey's Thesis. I (...)
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  15. The Open Handbook of Formal Epistemology.Richard Pettigrew & Jonathan Weisberg (eds.) - 2019 - PhilPapers Foundation.
    In formal epistemology, we use mathematical methods to explore the questions of epistemology and rational choice. What can we know? What should we believe and how strongly? How should we act based on our beliefs and values? We begin by modelling phenomena like knowledge, belief, and desire using mathematical machinery, just as a biologist might model the fluctuations of a pair of competing populations, or a physicist might model the turbulence of a fluid passing through a small aperture. Then, we (...)
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