Theism, Platonism, and the Metaphysics of Mathematics
Faith and Philosophy 4 (4):365-382 (1987)
| Abstract | In a previous paper, Thomas V. Morris and I sketched a view on which abstract objects, in particular, properties, relations, and propositions (PRPs), are created by God no less than contingent, concrete objects. In this paper r suggest a way of extending this account to cover mathematical objects as well. Drawing on some recent work in logic and metaphysics, I also develop a more detailed account of the structure of PRPs in answer to the paradoxes that arise on a naive understanding of the structure ofthe abstract universe | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,653 |
| External links |
  Try with proxy. |
| Through your library | Configure |
Similar books and articlesChristopher Menzel (1987). Theism, Platonism, and the Metaphysics of Mathematics. Faith and Philosophy 4 (4):365-382.
Øystein Linnebo (2009). Platonism in the Philosophy of Mathematics. In Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy.
Bernard Linsky (2005). Remarks on Platonized Naturalism. Croatian Journal of Philosophy 5 (1):3-15.
Thomas Tymoczko (1991). Mathematics, Science and Ontology. Synthese 88 (2):201 - 228.
William J. Melanson (2011). Reassessing the Epistemological Challenge to Mathematical Platonism. Croatian Journal of Philosophy 11 (3):295-304.
Mark Balaguer, Fictionalism in the Philosophy of Mathematics. Stanford Encyclopedia of Philosophy.
Mary Leng (2005). Platonism and Anti-Platonism: Why Worry? International Studies in the Philosophy of Science 19 (1):65 – 84.
James Franklin (2011). Aristotelianism in the Philosophy of Mathematics. Studia Neoaristotelica 8 (1):3-15.
Charles Parsons (2008). Mathematical Thought and its Objects. Cambridge University Press.
Øystein Linnebo (2008). The Nature of Mathematical Objects. In Bonnie Gold & Roger Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America.
Mark Balaguer (1998). Platonism and Anti-Platonism in Mathematics. Oxford University Press.
Leslie H. Tharp (1991). Myth & Math, Part II (Preliminary Draft). Synthese 88 (2):179 - 199.
David Liggins (2008). Quine, Putnam, and the 'Quine-Putnam' Indispensability Argument. Erkenntnis 68 (1):113 - 127.
Analytics
Monthly downloads |
Added to index2011-01-09Total downloads5 ( #160,204 of 548,984 )Recent downloads (6 months)1 ( #63,327 of 548,984 )How can I increase my downloads? |
My notes
Discussion
