Bunge’s Mathematical Structuralism Is Not a Fiction

In Michael Robert Matthews (ed.), Mario Bunge: A Centenary Festschrift. New York, NY, USA: Springer Verlag. pp. 587-608 (2019)
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Abstract
In this paper, I explore Bunge’s fictionism in philosophy of mathematics. After an overview of Bunge’s views, in particular his mathematical structuralism, I argue that the comparison between mathematical objects and fictions ultimately fails. I then sketch a different ontology for mathematics, based on Thomasson’s metaphysical work. I conclude that mathematics deserves its own ontology, and that, in the end, much work remains to be done to clarify the various forms of dependence that are involved in mathematical knowledge, in particular its dependence on mental/brain states and material objects.
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Archival date: 2019-07-26
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