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Philosophia Mathematica 2004 12(3):244-267; doi:10.1093/philmat/12.3.244
© 2004 by Oxford University Press
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© 2004 PHILOSOPHIA MATHEMATICA

Ontology and Mathematical Practice{dagger}

JESSICA CARTER*

*Department of Curriculum Studies, Danish University of Education Copenhagen, Denmark, jeca{at}dpu.dk

In this paper I propose a position in the ontology of mathematics which is inspired mainly by a case study in the mathematical discipline if-theory. The main theses of this position are that mathematical objects are introduced by mathematicians and that after mathematical objects have been introduced, they exist as objectively accessible abstract objects


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