•  102
    Infinity, Causation, and Paradox, by Alexander Pruss
    Mind 129 (516): 1287-1291. 2019.
    _ Infinity, Causation, and Paradox _, by PrussAlexander. Oxford: Oxford University Press, 2018. Pp. xiii + 207.
  •  24
    The evolution of logic
    Bulletin of Symbolic Logic 17 (4): 533-535. 2011.
  •  65
    Principal Values and Weak Expectations
    Mind 123 (490): 517-531. 2014.
    This paper evaluates a recent method proposed by Jeremy Gwiazda for calculating the value of gambles that fail to have expected values in the standard sense. I show that Gwiazda’s method fails to give answers for many gambles that do have standardly defined expected values. However, a slight modification of his method (based on the mathematical notion of the ‘Cauchy principal value’ of an integral), is in fact a proper extension of both his method and the method of ‘weak expectations’. I show th…Read more
  •  339
    Interview with Kenny Easwaran
    The Reasoner 15 (2): 9-12. 2021.
    Bill D'Alessandro talks to Kenny Easwaran about fractal music, Zoom conferences, being a good referee, teaching in math and philosophy, the rationalist community and its relationship to academia, decision-theoretic pluralism, and the city of Manhattan, Kansas.
  •  48
  •  128
    Formal Epistemology
    Journal of Philosophical Logic 44 (6): 651-662. 2015.
    Doxastic TheoriesThe application of formal tools to questions related to epistemology is of course not at all new. However, there has been a surge of interest in the field now known as “formal epistemology” over the past decade, with two annual conference series and an annual summer school at Carnegie Mellon University, in addition to many one-off events devoted to the field. A glance at the programs of these series illustrates the wide-ranging set of topics that have been grouped under this nam…Read more
  •  1
    REVIEWS-WD Hart, The evolution of logic (review)
    Bulletin of Symbolic Logic 17 (4): 533. 2011.
  •  541
    Bayesianism II: Applications and Criticisms
    Philosophy Compass 6 (5): 321-332. 2011.
    In the first paper, I discussed the basic claims of Bayesianism (that degrees of belief are important, that they obey the axioms of probability theory, and that they are rationally updated by either standard or Jeffrey conditionalization) and the arguments that are often used to support them. In this paper, I will discuss some applications these ideas have had in confirmation theory, epistemol- ogy, and statistics, and criticisms of these applications.
  •  468
    Why Countable Additivity?
    Thought: A Journal of Philosophy 2 (1): 53-61. 2013.
    It is sometimes alleged that arguments that probability functions should be countably additive show too much, and that they motivate uncountable additivity as well. I show this is false by giving two naturally motivated arguments for countable additivity that do not motivate uncountable additivity
  •  232
    Logic and Probability
    Journal of the Indian Council of Philosophical Research 27 (2): 229-253. 2010.
    As is clear from the other articles in this volume, logic has applications in a broad range of areas of philosophy. If logic is taken to include the mathematical disciplines of set theory, model theory, proof theory, and recursion theory (as well as first-order logic, second-order logic, and modal logic), then the only other area of mathematics with such wide-ranging applications in philosophy is probability theory
  •  101
    Bullshit activities
    Analytic Philosophy. forthcoming.
    Frankfurt gave an account of “bullshit” as a statement made without regard to truth or falsity. Austin argued that a large amount of language consists of speech acts aimed at goals other than truth or falsity. We don't want our account of bullshit to include all performatives. I develop a modification of Frankfurt's account that makes interesting and useful categorizations of various speech acts as bullshit or not and show that this account generalizes to many other kinds of act as well. I show …Read more