Indefiniteness of mathematical objects

Philosophia Mathematica 8 (1):26--46 (2000)
Authors
Ken Akiba
Virginia Commonwealth University
Abstract
The view that mathematical objects are indefinite in nature is presented and defended, hi the first section, Field's argument for fictionalism, given in response to Benacerraf's problem of identification, is closely examined, and it is contended that platonists can solve the problem equally well if they take the view that mathematical objects are indefinite. In the second section, two general arguments against the intelligibility of objectual indefiniteness are shown erroneous, hi the final section, the view is compared to mathematical structuralism, and it is shown that a version of structuralism should be understood as embracing the same view
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DOI 10.1093/philmat/8.1.26
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Vagueness in the World.Ken Akiba - 2004 - Noûs 38 (3):407–429.
Mathematical Existence.Penelope Maddy - 2005 - Bulletin of Symbolic Logic 11 (3):351-376.

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