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  1. Katz’s revisability paradox dissolved.Allard Tamminga & Sander Verhaegh - 2013 - Australasian Journal of Philosophy 91 (4):771-784.
    Quine's holistic empiricist account of scientific inquiry can be characterized by three constitutive principles: *noncontradiction*, *universal revisability* and *pragmatic ordering*. We show that these constitutive principles cannot be regarded as statements within a holistic empiricist's scientific theory of the world. This claim is a corollary of our refutation of Katz's [1998, 2002] argument that holistic empiricism suffers from what he calls the Revisability Paradox. According to Katz, Quine's empiricism is incoherent because its constitutive principles cannot themselves be rationally revised. Using (...)
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  • Saving the doxastic account of intuitions.Christian Nimtz - 2010 - Philosophical Psychology 23 (3):357-375.
    Many philosophers and psychologists hold that intuitions are, or reduce to, beliefs. The argument from intuition without beliefs threatens to undercut any such doxastic account: since there are clear cases of intuition without belief, intuitions cannot be beliefs. Advocates of the intellectual seeming account conclude that intuitions belong to the basic mental kind of intellectual seeming. I argue that rightly understood, apparent cases of intuition without belief are cases of someone having the inclination to believe that p whilst believing that (...)
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  • Holistic realism: A response to Katz on holism and intuition.Michael D. Resnik & Nicoletta Orlandi - 2003 - Philosophical Forum 34 (3-4):301-315.
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  • Mathematics and Metaphilosophy.Justin Clarke-Doane - 2022 - Cambridge: Cambridge University Press.
    This book discusses the problem of mathematical knowledge, and its broader philosophical ramifications. It argues that the problem of explaining the (defeasible) justification of our mathematical beliefs (‘the justificatory challenge’), arises insofar as disagreement over axioms bottoms out in disagreement over intuitions. And it argues that the problem of explaining their reliability (‘the reliability challenge’), arises to the extent that we could have easily had different beliefs. The book shows that mathematical facts are not, in general, empirically accessible, contra Quine, (...)
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  • Kitcher, Mathematical Intuition, and Experience.Mark McEvoy - 2007 - Philosophia Mathematica 15 (2):227-237.
    Mathematical apriorists sometimes hold that our non-derived mathematical beliefs are warranted by mathematical intuition. Against this, Philip Kitcher has argued that if we had the experience of encountering mathematical experts who insisted that an intuition-produced belief was mistaken, this would undermine that belief. Since this would be a case of experience undermining the warrant provided by intuition, such warrant cannot be a priori.I argue that this leaves untouched a conception of intuition as merely an aspect of our ordinary ability to (...)
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