Mathematical existence de-platonized: Introducing objects of supposition in the arts and sciences

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Abstract

In this paper, we introduce a suppositional view of linguistic practice that ranges over fiction, science, and mathematics. While having similar con- sequences to some other views, in particular Linsky and Zalta’s plenitudinous platonism, the view advocated here both differs fundamentally in approach and accounts for a wider range of phenomena and scientific discourse.

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Mimesis as Make-Believe: On the Foundations of the Representational Arts.Kendall L. Walton - 1990 - Journal of Aesthetics and Art Criticism 49 (2):161-166.

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