Authors
Alejandro Pérez Carballo
University of Massachusetts, Amherst
Abstract
I develop a non-representationalist account of mathematical thought, on which the point of mathematical theorizing is to provide us with the conceptual capacity to structure and articulate information about the physical world in an epistemically useful way. On my view, accepting a mathematical theory is not a matter of having a belief about some subject matter; it is rather a matter of structuring logical space, in a sense to be made precise. This provides an elegant account of the cognitive utility of mathematics. Further, it makes explicit how the brand of non-representationalism I develop is compatible with there being substantive rationality constraints on our mathematical theorizing
Keywords mathematical thought  expressivism  intentionality  representation  nonfactualism  applicability of mathematics
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DOI 10.1111/phpr.12116
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References found in this work BETA

The Varieties of Reference.Gareth Evans - 1982 - Oxford: Oxford University Press.
Change in View: Principles of Reasoning.Gilbert Harman - 1986 - Cambridge, MA, USA: MIT Press.
Thinking How to Live.Allan Gibbard - 2003 - Harvard University Press.

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Citations of this work BETA

Questions in Action.Daniel Hoek - 2022 - Journal of Philosophy 119 (3):113-143.
Belief as Question‐Sensitive.Seth Yalcin - 2018 - Philosophy and Phenomenological Research 97 (1):23-47.
Group Inquiry.Joshua Habgood-Coote - 2020 - Erkenntnis 87 (3):1099-1123.
Minimal Rationality and the Web of Questions.Daniel Hoek - forthcoming - In Dirk Kindermann, Peter van Elswyk & Andy Egan (eds.), Unstructured Content. Oxford University Press.
Conceptual Evaluation: Epistemic.Alejandro Pérez Carballo - 2020 - In Alexis Burgess, Herman Cappelen & David Plunkett (eds.), Conceptual Engineering and Conceptual Ethics. Oxford, UK: Oxford University Press. pp. 304-332.

View all 11 citations / Add more citations

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