Philosophy Faculty Publications and Presentations

Infinite Practices, One Mathematics: Challenging Mathematical Pluralism

Document Type

Article

Publication Date

2-15-2025

Abstract

Theories about the foundations of mathematics often encounter a problem similar to the traditional demarcation problem in science. In this context, it is pertinent to examine the first candidate for the identifying property of mathematical pluralism: reduction within a structure. As I argue here, this notion is insufficient for a coherent definition of structure within the plurality. In the end, demarcating a plurality of mathematics can be as problematic as demarcating a unitary mathematics.

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Publication Title

Journal for General Philosophy of Science

DOI

10.1007/s10838-024-09697-2

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