•  144
    Solving the Mystery of Mathematics
    Philosophy Now Magazine 157 16-19. 2023.
    This is a magazine article discussing the philosophy of mathematics and arguing for mathematical conventionalism, written for a non-academic audience. (As often happens with popular articles, the editors made some changes that I'm not completely happy with, e.g., the titled section headings and sub-title).
  •  142
    Mental Representation, "Standing-In-For", and Internal Models
    with Rosa Cao
    Philosophical Psychology. forthcoming.
    Talk of ”mental representations” is ubiquitous in the philosophy of mind, psychology, and cognitive science. A slogan common to many different approaches says that representations ”stand in for” the things they represent. This slogan also attaches to most talk of "internal models" in cognitive science. We argue that this slogan is either false or uninformative. We then offer a new slogan that aims to do better. The new slogan ties the role of representations to the cognitive role played by the d…Read more
  •  95
    Imagination and the A Priori
    Synthese 201 (1): 1-16. 2022.
    What is the role of imagination in a priori knowledge? Here I provide a partial answer, arguing that imagination can be used to shed light on which experiences merely enable knowledge, versus which are evidential. I reach this partial answer by considering in detail Timothy’s Williamson’s recent argument that the a priori/a posteriori distinction is insignificant. There are replies to the argument by Boghossian and Casullo that might work on their own terms, but my reply examines the assumptions…Read more
  •  86
    Neural decoding, the Atlantis machine, and zombies
    with Rosa Cao
    Philosophical Perspectives 37 (1): 69-89. 2023.
    Neural decoding studies seem to show that the “private” experiences of others are more accessible than philosophers have traditionally believed. While these studies have many limitations, they do demonstrate that by capturing patterns in brain activity, we can discover a great deal about what a subject is experiencing. We present a thought experiment about a super-decoder — the Atlantis machine — and argue that given plausible assumptions, an Atlantis machine could one day be built. On the basis…Read more
  •  86
    The Liar Paradox and “Meaningless” Revenge
    Journal of Philosophical Logic 53 (1): 49-78. 2023.
    A historically popular response to the liar paradox (“this sentence is false”) is to say that the liar sentence is meaningless (or semantically defective, or malfunctions, or…). Unfortunately, like all other supposed solutions to the liar, this approach faces a revenge challenge. Consider the revenge liar sentence, “this sentence is either meaningless or false”. If it is true, then it is either meaningless or false, so not true. And if it is not true, then it can’t be either meaningless or false…Read more
  •  50
    The A Priori Without Magic
    Cambridge University Press. 2022.
    The distinction between the a priori and the a posteriori is an old and influential one. But both the distinction itself and the crucial notion of a priori knowledge face powerful philosophical challenges. Many philosophers worry that accepting the a priori is tantamount to accepting epistemic magic. In contrast, this Element argues that the a priori can be formulated clearly, made respectable, and used to do important epistemological work. The author's conception of the a priori and its role fa…Read more