Mathematical platonism and the causal relevance of abstracta

Synthese 200 (6):1-18 (2022)
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Abstract

Many mathematicians are platonists: they believe that the axioms of mathematics are true because they express the structure of a nonspatiotemporal, mind independent, realm. But platonism is plagued by a philosophical worry: it is unclear how we could have knowledge of an abstract, realm, unclear how nonspatiotemporal objects could causally affect our spatiotemporal cognitive faculties. Here I aim to make room in our metaphysical picture of the world for the causal relevance of abstracta.

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Barbara Gail Montero
CUNY Graduate Center

References found in this work

Naming and Necessity.Saul Kripke - 1980 - Philosophy 56 (217):431-433.
Discrimination and perceptual knowledge.Alvin I. Goldman - 1976 - Journal of Philosophy 73 (November):771-791.
Counterfactuals.David Lewis - 1973 - Foundations of Language 13 (1):145-151.
Mathematical truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
A World of States of Affairs.D. M. Armstrong - 1993 - Philosophical Perspectives 7:429-440.

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