The importance of nonexistent objects and of intensionality in mathematics

Philosophia Mathematica 11 (1):20-52 (2003)
In this article, extracted from his book Exploring Meinong's Jungle and Beyond, Sylvan argues that, contrary to widespread opinion, mathematics is not an extensional discipline and cannot be extensionalized without considerable damage. He argues that some of the insights of Meinong's theory of objects, and its modern development, item theory, should be applied to mathematics and that mathematical objects and structures should be treated as mind-independent, non-existent objects
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DOI 10.1093/philmat/11.1.20
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