Switch to: References

Citations of:

Principles of Indifference

Journal of Philosophy 116 (7):390-411 (2019)

Add citations

You must login to add citations.
  1. How to Read a Representor.Edward Elliott - forthcoming - Ergo.
    Imprecise probabilities are often modelled with representors, or sets of probability functions. In the recent literature, two ways of interpreting representors have emerged as especially prominent: vagueness interpretations, according to which each probability function in the set represents how the agent's beliefs would be if any vagueness were precisified away; and comparativist interpretations, according to which the set represents those comparative confidence relations that are common to all probability functions therein. I argue that these interpretations have some important limitations. I (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Bertrand’s Paradox and the Principle of Indifference.Nicholas Shackel - 2023 - Abingdon: Routledge.
    Events between which we have no epistemic reason to discriminate have equal epistemic probabilities. Bertrand’s chord paradox, however, appears to show this to be false, and thereby poses a general threat to probabilities for continuum sized state spaces. Articulating the nature of such spaces involves some deep mathematics and that is perhaps why the recent literature on Bertrand’s Paradox has been almost entirely from mathematicians and physicists, who have often deployed elegant mathematics of considerable sophistication. At the same time, the (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • The Chances of Choices.Reuben Stern - forthcoming - British Journal for the Philosophy of Science.
    Download  
     
    Export citation  
     
    Bookmark  
  • Conquering Mount Everett: Branch-Counting Versus the Born Rule.Jake Khawaja - forthcoming - British Journal for the Philosophy of Science.
    Abstract: This paper develops and advocates a rule for assigning self-locating credences in quantum branching scenarios, called Indexed Branch-Counting. It is argued that Indexed Branch-Counting can be justified on both accuracy-theoretic grounds and on the grounds that it satisfies a requirement of exchangeability for probability assignments. Since Indexed Branch-Counting diverges from the Born Rule, this poses trouble for Everettian approaches to probability. The paper also addresses a common argument against branch-counting, namely that the rule is incoherent in light of putative (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Comparative Opinion Loss.Benjamin Eva & Reuben Stern - 2022 - Philosophy and Phenomenological Research 107 (3):613-637.
    It is a consequence of the theory of imprecise credences that there exist situations in which rational agents inevitably become less opinionated toward some propositions as they gather more evidence. The fact that an agent's imprecise credal state can dilate in this way is often treated as a strike against the imprecise approach to inductive inference. Here, we show that dilation is not a mere artifact of this approach by demonstrating that opinion loss is countenanced as rational by a substantially (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • Credal imprecision and the value of evidence.Nilanjan Das - 2023 - Noûs 57 (3):684-721.
    This paper is about a tension between two theses. The first is Value of Evidence: roughly, the thesis that it is always rational for an agent to gather and use cost‐free evidence for making decisions. The second is Rationality of Imprecision: the thesis that an agent can be rationally required to adopt doxastic states that are imprecise, i.e., not representable by a single credence function. While others have noticed this tension, I offer a new diagnosis of it. I show that (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • Are non-accidental regularities a cosmic coincidence? Revisiting a central threat to Humean laws.Aldo Filomeno - 2019 - Synthese 198 (6):5205-5227.
    If the laws of nature are as the Humean believes, it is an unexplained cosmic coincidence that the actual Humean mosaic is as extremely regular as it is. This is a strong and well-known objection to the Humean account of laws. Yet, as reasonable as this objection may seem, it is nowadays sometimes dismissed. The reason: its unjustified implicit assignment of equiprobability to each possible Humean mosaic; that is, its assumption of the principle of indifference, which has been attacked on (...)
    Download  
     
    Export citation  
     
    Bookmark   11 citations  
  • Author's responses.John D. Norton - 2021 - Studies in History and Philosophy of Science Part A 85:114-126.
    Download  
     
    Export citation  
     
    Bookmark   5 citations  
  • Indifference to Anti-Humean Chances.J. Dmitri Gallow - 2022 - Canadian Journal of Philosophy 52 (5):485-501.
    An indifference principle says that your credences should be distributed uniformly over each of the possibilities you recognise. A chance deference principle says that your credences should be aligned with the chances. My thesis is that, if we are anti-Humeans about chance, then these two principles are incompatible. Anti-Humeans think that it is possible for the actual frequencies to depart from the chances. So long as you recognise possibilities like this, you cannot both spread your credences evenly and defer to (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Eternal inflation: when probabilities fail.John D. Norton - 2018 - Synthese 198 (Suppl 16):3853-3875.
    In eternally inflating cosmology, infinitely many pocket universes are seeded. Attempts to show that universes like our observable universe are probable amongst them have failed, since no unique probability measure is recoverable. This lack of definite probabilities is taken to reveal a complete predictive failure. Inductive inference over the pocket universes, it would seem, is impossible. I argue that this conclusion of impossibility mistakes the nature of the problem. It confuses the case in which no inductive inference is possible, with (...)
    Download  
     
    Export citation  
     
    Bookmark   11 citations  
  • Bayesian Epistemology.William Talbott - 2006 - Stanford Encyclopedia of Philosophy.
    ‘Bayesian epistemology’ became an epistemological movement in the 20th century, though its two main features can be traced back to the eponymous Reverend Thomas Bayes (c. 1701-61). Those two features are: (1) the introduction of a formal apparatus for inductive logic; (2) the introduction of a pragmatic self-defeat test (as illustrated by Dutch Book Arguments) for epistemic rationality as a way of extending the justification of the laws of deductive logic to include a justification for the laws of inductive logic. (...)
    Download  
     
    Export citation  
     
    Bookmark   75 citations  
  • (1 other version)Interpretations of probability.Alan Hájek - 2007 - Stanford Encyclopedia of Philosophy.
    Download  
     
    Export citation  
     
    Bookmark   162 citations  
  • Probing the quantitative–qualitative divide in probabilistic reasoning.Duligur Ibeling, Thomas Icard, Krzysztof Mierzewski & Milan Mossé - 2024 - Annals of Pure and Applied Logic 175 (9):103339.
    This paper explores the space of (propositional) probabilistic logical languages, ranging from a purely `qualitative' comparative language to a highly `quantitative' language involving arbitrary polynomials over probability terms. While talk of qualitative vs. quantitative may be suggestive, we identify a robust and meaningful boundary in the space by distinguishing systems that encode (at most) additive reasoning from those that encode additive and multiplicative reasoning. The latter includes not only languages with explicit multiplication but also languages expressing notions of dependence and (...)
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  • The Case for Incomparability.Benjamin Eva - manuscript
    According to influential arguments from several branches of philosophy, there exist some gradable natural language expressions that violate the following principle: if x and y are both F to some degree, then either x is at least as F as y or y is at least as F as x. Dorr, Nebel and Zuehl (2022) (DNZ), who refer to this principle as ‘Comparability’, respond to these arguments and offer a systematic case in support of Comparability. In this paper, I respond (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Formal Epistemology Meets Mechanism Design.Jürgen Landes - 2023 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 54 (2):215-231.
    This article connects recent work in formal epistemology to work in economics and computer science. Analysing the Dutch Book Arguments, Epistemic Utility Theory and Objective Bayesian Epistemology we discover that formal epistemologists employ the same argument structure as economists and computer scientists. Since similar approaches often have similar problems and have shared solutions, opportunities for cross-fertilisation abound.
    Download  
     
    Export citation  
     
    Bookmark  
  • How to be an imprecise impermissivist.Seamus Bradley - manuscript
    Rational credence should be coherent in the sense that your attitudes should not leave you open to a sure loss. Rational credence should be such that you can learn when confronted with relevant evidence. Rational credence should not be sensitive to irrelevant differences in the presentation of the epistemic situation. We explore the extent to which orthodox probabilistic approaches to rational credence can satisfy these three desiderata and find them wanting. We demonstrate that an imprecise probability approach does better. Along (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • The material theory of induction.John D. Norton - 2021 - Calgary, Alberta, Canada: University of Calgary Press.
    The inaugural title in the new, Open Access series BSPS Open, The Material Theory of Induction will initiate a new tradition in the analysis of inductive inference. The fundamental burden of a theory of inductive inference is to determine which are the good inductive inferences or relations of inductive support and why it is that they are so. The traditional approach is modeled on that taken in accounts of deductive inference. It seeks universally applicable schemas or rules or a single (...)
    Download  
     
    Export citation  
     
    Bookmark   42 citations  
  • How to be indifferent.Sebastian Liu - forthcoming - Noûs.
    According to the principle of indifference, when a set of possibilities is evidentially symmetric for you – when your evidence no more supports any one of the possibilities over any other – you're required to distribute your credences uniformly among them. Despite its intuitive appeal, the principle of indifference is often thought to be unsustainable due to the problem of multiple partitions: Depending on how a set of possibilities is divided, it seems that sometimes, applying indifference reasoning can require you (...)
    Download  
     
    Export citation  
     
    Bookmark