David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
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||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
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.
Chris John Daly (2008). Fictionalism and the Attitudes. Philosophical Studies 139 (3):423 - 440.
Charlie Kurth (2011). Logic for Morals, Morals From Logic. Philosophical Studies 155 (2):161-180.
Otávio Bueno, Christopher Menzel & Edward N. Zalta (2013). Worlds and Propositions Set Free. Erkenntnis:1-24.
Similar books and articles
Mary Leng (2005). Platonism and Anti-Platonism: Why Worry? International Studies in the Philosophy of Science 19 (1):65 – 84.
Mark Balaguer (1995). A Platonist Epistemology. Synthese 103 (3):303 - 325.
Colin Cheyne (1999). Problems with Profligate Platonism. Philosophia Mathematica 7 (2):164-177.
M. Janvid (2004). Epistemological Naturalism and the Normativity Objection. Erkenntnis 60 (1):35-49.
Mikael Janvid (2004). Epistemological Naturalism and the Normativity Objection or From Normativity to Constitutivity. Erkenntnis 60 (1):35 - 49.
Mikael Janvid (2004). Epistemological Naturalism and the Normativity Objection or From Normativity to Constitutivity. Erkenntnis 60 (1):35-49.
Mark Balaguer (1994). Against (Maddian) Naturalized Platonism. Philosophia Mathematica 2 (2):97-108.
Bernard Linsky (2005). Remarks on Platonized Naturalism. Croatian Journal of Philosophy 5 (1):3-15.
Added to index2009-01-28
Total downloads42 ( #33,873 of 1,088,389 )
Recent downloads (6 months)4 ( #24,197 of 1,088,389 )
How can I increase my downloads?