Philosophia Mathematica 12 (3):244-267 (2004)
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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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.
Handling Mathematical Objects: Representations and Context.Jessica Carter - 2013 - Synthese 190 (17):3983-3999.
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