David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophia Mathematica 15 (2):227-237 (2007)
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 reason. Thus the apriorist may still hold that some mathematical beliefs are warranted by intuition
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Mark McEvoy (2008). The Epistemological Status of Computer-Assisted Proofs. Philosophia Mathematica 16 (3):374-387.
Similar books and articles
Steven D. Hales (2012). The Faculty of Intuition. Analytic Philosophy 53 (2):180-207.
Clevis Headley (1997). Platonism and Metaphor in the Texts of Mathematics: GÃ¶Del and Frege on Mathematical Knowledge. [REVIEW] Man and World 30 (4):453-481.
Sarah Hoffman (2004). Kitcher, Ideal Agents, and Fictionalism. Philosophia Mathematica 12 (1):3-17.
Mark Steiner (2000). Mathematical Intuition and Physical Intuition in Wittgenstein's Later Philosophy. Synthese 125 (3):333-340.
Colin Cheyne (1997). Getting in Touch with Numbers: Intuition and Mathematical Platonism. Philosophy and Phenomenological Research 57 (1):111-125.
Richard Tieszen (1992). Kurt Godel and Phenomenology. Philosophy of Science 59 (2):176-194.
Solomon Feferman (2000). Mathematical Intuition Vs. Mathematical Monsters. Synthese 125 (3):317-332.
Jennifer Wilson Mulnix (2008). Reliabilism, Intuition, and Mathematical Knowledge. Filozofia 62 (8):715-723.
David Galloway (1999). Seeing Sequences. Philosophy and Phenomenological Research 59 (1):93-112.
Added to index2009-01-28
Total downloads73 ( #18,901 of 1,101,120 )
Recent downloads (6 months)13 ( #13,527 of 1,101,120 )
How can I increase my downloads?