David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Philosophy 92 (10):525-555 (1995)
In this paper, we develop an alternative strategy, Platonized Naturalism, for reconciling naturalism and Platonism and to account for our knowledge of mathematical objects and properties. A systematic (Principled) Platonism based on a comprehension principle that asserts the existence of a plenitude of abstract objects is not just consistent with, but required (on transcendental grounds) for naturalism. Such a comprehension principle is synthetic, and it is known a priori. Its synthetic a priori character is grounded in the fact that it is an essential part of the logic in which any scientific theory will be formulated and so underlies (our understanding of) the meaningfulness of any such theory (this is why it is required for naturalism). Moreover, the comprehension principle satisfies naturalist standards of reference, knowledge, and ontological parsimony! As part of our argument, we identify mathematical objects as abstract individuals in the domain governed by the comprehension principle, and we show that our knowledge of mathematical truths is linked to our knowledge of that principle.
|Keywords||Analytic Philosophy Contemporary Philosophy|
|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
Joshua Schechter (2010). The Reliability Challenge and the Epistemology of Logic. Philosophical Perspectives 24 (1):437-464.
Otávio Bueno, Christopher Menzel & Edward N. Zalta (2013). Worlds and Propositions Set Free. Erkenntnis (4):1-24.
Charlie Kurth (2011). Logic for Morals, Morals From Logic. Philosophical Studies 155 (2):161-180.
Chris John Daly (2008). Fictionalism and the Attitudes. Philosophical Studies 139 (3):423 - 440.
Edward N. Zalta (2002). A Common Ground and Some Surprising Connections. Southern Journal of Philosophy (Supplement) 40 (S1):1-25.
Similar books and articles
Mark Balaguer (1994). Against (Maddian) Naturalized Platonism. Philosophia Mathematica 2 (2):97-108.
Mikael Janvid (2004). Epistemological Naturalism and the Normativity Objection or From Normativity to Constitutivity. Erkenntnis 60 (1):35-49.
M. Janvid (2004). Epistemological Naturalism and the Normativity Objection. Erkenntnis 60 (1):35-49.
Colin Cheyne (1999). Problems with Profligate Platonism. Philosophia Mathematica 7 (2):164-177.
Mark Balaguer (1995). A Platonist Epistemology. Synthese 103 (3):303 - 325.
Mary Leng (2005). Platonism and Anti-Platonism: Why Worry? International Studies in the Philosophy of Science 19 (1):65 – 84.
Bernard Linsky (2005). Remarks on Platonized Naturalism. Croatian Journal of Philosophy 5 (1):3-15.
Added to index2009-01-28
Total downloads84 ( #57,471 of 1,924,716 )
Recent downloads (6 months)5 ( #187,017 of 1,924,716 )
How can I increase my downloads?