A nominalist's dilemma and its solution

Philosophia Mathematica

Volumn 13, Issue 3, 2005, Pages 294-307

  Bueno, Otávio ^a   Zalta, Edward N ^b  

^a UNIVERSITY OF SOUTH CAROLINA   (United States)

^b STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 31444439115     PISSN: 00318019     EISSN: None     Source Type: Journal    
DOI: 10.1093/philmat/nki033     Document Type: Article

References (12)

1. Azzouni, J. [2004]: Deflating Existential Consequence: A Case for Nominalism. New York: Oxford University Press.
2. Field, H. [1980]: Science without Numbers: A Defense of Nominalism. Princeton, N. J.: Princeton University Press.
3. Field, H. [1989]: Realism, Mathematics and Modality. Oxford: Basil Blackwell.
4. Hellman, G. [1989]: Mathematics without Numbers: Towards a Modal-Structural Interpretation. Oxford: Clarendon Press.
5. Linsky, B., and E. Zalta [1995]: 'Naturalized platonism vs. platonized naturalism', Journal of Philosophy 92, 525-555.
6. Meinong, A. [1904]: 'Über Gegenstandstheorie', in A. Meinong, ed., Untersuchungen zur Gegenstandstheorie und Psychologie. Leipzig: Barth;
7. English translation, 'On the theory of objects', in R. Chisholm, ed., Realism and the Background of Phenomenology. Glencoe, Illinois: The Free Press, 1960.
8. Parsons, T. [1980]: Nonexistent Objects. New Haven, Conn.: Yale University Press.
9. Russell, B. [1903]: Principles of Mathematics. New York and London: W. W. Norton & Co.
10. Zalta, E. [1983]: Abstract Objects: An Introduction to Axiomatic Metaphysics. Dordrecht: Reidel.
11. Zalta, E. [1988]: Intensional Logic and the Metaphysics of Intentionality. Cambridge, Mass.: MIT Press.
12. Zalta, E. [2000]: 'Neologicism? An ontological reduction of mathematics to meta-physics', Erkenntnis 53, 219-265.