Philosophical Forum 36 (4):399–417 (2005)

Authors
Mark McEvoy
Hofstra University
Abstract
Mathematical apriorism holds that mathematical truths must be established using a priori processes. Against this, it has been argued that apparently a priori mathematical processes can, under certain circumstances, fail to warrant the beliefs they produce; this shows that these warrants depend on contingent features of the contexts in which they are used. They thus cannot be a priori. In this paper I develop a position that combines a reliabilist version of mathematical apriorism with a platonistic view of mathematical ontology. I argue that this view both withstands the above objection and explains the reliability of a priori mathematical warrant.
Keywords Reliabilism  Mathematical platonism  Apriority
Categories (categorize this paper)
DOI 10.1111/j.1467-9191.2005.00211.x
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 71,436
External links

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

Rational Intuition: Bealer on its Nature and Epistemic Status.Ernest Sosa - 1996 - Philosophical Studies 81 (2-3):151--162.
That Numbers Could Be Objects.Linda Wetzel - 1989 - Philosophical Studies 56 (3):273--92.

Add more references

Citations of this work BETA

Platonism in Metaphysics.Markn D. Balaguer - 2016 - Stanford Encyclopedia of Philosophy 1 (1):1.
Platonism in Metaphysics.Mark Balaguer - 2008 - Stanford Encyclopedia of Philosophy.
Causal Tracking Reliabilism and the Lottery Problem.Mark Mcevoy - 2012 - Grazer Philosophische Studien 86 (1):73-92.

View all 6 citations / Add more citations

Similar books and articles

Kitcher, Mathematical Intuition, and Experience.Mark McEvoy - 2007 - Philosophia Mathematica 15 (2):227-237.
A Platonist Epistemology.Mark Balaguer - 1995 - Synthese 103 (3):303 - 325.
The Conceivability of Platonism.Benjamin Callard - 2007 - Philosophia Mathematica 15 (3):347-356.
Warrant and Action.Mikkel Gerken - 2011 - Synthese 178 (3):529-547.
Conclusive Reasons That We Perceive Sets.David MacCallum - 2000 - International Studies in the Philosophy of Science 14 (1):25 – 42.
Platonism and the 'Epistemic Role Puzzle'.Mark McEvoy - 2012 - Philosophia Mathematica 20 (3):289-304.

Analytics

Added to PP index
2009-01-28

Total views
53 ( #216,053 of 2,520,355 )

Recent downloads (6 months)
2 ( #270,671 of 2,520,355 )

How can I increase my downloads?

Downloads

My notes