Building blocks for a cognitive science-led epistemology of arithmetic

نویسندگان

چکیده

Abstract In recent years philosophers have used results from cognitive science to formulate epistemologies of arithmetic (e.g. Giaquinto in J Philos 98(1):5–18, 2001). Such have, however, been criticised, e.g. by Azzouni (Talking about nothing: numbers, hallucinations and fictions, Oxford University Press, 2010), for interpreting the capacities found an overly numerical way. I offer alternative framework way these psychological processes can be combined, forming basis epistemology arithmetic. The resulting avoids assigning content Approximate Number System Object Tracking System, two systems that so far informed science. account is, only a epistemology: final part paper argue it is compatible with both platonist nominalist views numbers fitting into ante rem structuralism one fictionalism. Unsurprisingly, does not settle debate between positions philosophy mathematics, but refine existing restrict our focus has underly mathematical knowledge.

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ژورنال

عنوان ژورنال: Philosophical Studies

سال: 2021

ISSN: ['1573-0883', '0031-8116']

DOI: https://doi.org/10.1007/s11098-021-01729-7