David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Filozofia 62 (8):715-723 (2008)
It is alleged that the causal inertness of abstract objects and the causal conditions of certain naturalized epistemologies precludes the possibility of mathematical know- ledge. This paper rejects this alleged incompatibility, while also maintaining that the objects of mathematical beliefs are abstract objects, by incorporating a naturalistically acceptable account of ‘rational intuition.’ On this view, rational intuition consists in a non-inferential belief-forming process where the entertaining of propositions or certain contemplations results in true beliefs. This view is free of any conditions incompatible with abstract objects, for the reason that it is not necessary that S stand in some causal relation to the entities in virtue of which p is true. Mathematical intuition is simply one kind of reliable process type, whose inputs are not abstract numbers, but rather, contemplations of abstract numbers.
|Keywords||Epistemology Reliabilism Rational intuition A priori Mathematical knowledge|
|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
No citations found.
Similar books and articles
Elijah Chudnoff (2013). Intuitive Knowledge. Philosophical Studies 162 (2):359-378.
David Galloway (1999). Seeing Sequences. Philosophy and Phenomenological Research 59 (1):93-112.
Valeria Giardino (2010). Intuition and Visualization in Mathematical Problem Solving. Topoi 29 (1):29-39.
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.
Mark McEvoy (2007). Kitcher, Mathematical Intuition, and Experience. Philosophia Mathematica 15 (2):227-237.
Berit Brogaard (2006). Can Virtue Reliabilism Explain the Value of Knowledge? Canadian Journal of Philosophy 36 (3):335-354.
Jason Baehr (2009). Is There a Value Problem? In Adrian Haddock, Alan Millar & Duncan Pritchard (eds.), Epistemic Value. OUP Oxford
Ernest Sosa (1996). Rational Intuition: Bealer on its Nature and Epistemic Status. Philosophical Studies 81 (2-3):151--162.
Colin Cheyne (1997). Getting in Touch with Numbers: Intuition and Mathematical Platonism. Philosophy and Phenomenological Research 57 (1):111-125.
Added to index2010-03-28
Total downloads54 ( #75,123 of 1,790,256 )
Recent downloads (6 months)1 ( #427,635 of 1,790,256 )
How can I increase my downloads?