Structuring Logical Space

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 University Press.
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Belief as Question‐Sensitive.Seth Yalcin - 2016 - Philosophy and Phenomenological Research (1):23-47.

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