Ontology and mathematical practice

Philosophia Mathematica 12 (3):244-267 (2004)
Abstract
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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DOI 10.1093/philmat/12.3.244
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The Growth of Mathematical Knowledge—Introduction of Convex Bodies.Tinne Hoff Kjeldsen & Jessica Carter - 2012 - Studies in History and Philosophy of Science Part A 43 (2):359-365.
Mathematics Dealing with 'Hypothetical States of Things'.Jessica Carter - 2014 - Philosophia Mathematica 22 (2):209-230.

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