Potential Infinity and De Re Knowledge of Mathematical Objects

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In Carl Posy & Yemima Ben-Menahem (eds.), Mathematical Knowledge, Objects and Applications: Essays in Memory of Mark Steiner. Springer. pp. 79-98 (2023)
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Abstract

Our first goal here is to show how one can use a modal language to explicate potentiality and incomplete or indeterminate domains in mathematics, along the lines of previous work. We then show how potentiality bears on some longstanding items of concern to Mark Steiner: the applicability of mathematics, explanation, and de re propositional attitudes toward mathematical objects.

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10.1007/978-3-031-21655-8_6

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Author Profiles

Øystein Linnebo
University of Oslo
Stewart Shapiro
Ohio State University

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