Document Type

Conference Proceeding

Publication Date

5-1-2025

Abstract

Structuralism is a contemporary philosophy of mathematics which asserts that the content of mathematics is not located in the objects of its study but rather the relations which hold between those objects. Modal Structuralism, in turn, emphasizes that mathematical truth concerns modal statements about what would be necessarily true of a system if such relations held. Finally, Theistic Conceptual Realism argues that possible worlds are in fact instances of divine self-knowledge, and thereby provides a means of grounding modality in the mind of God. In this paper, we argue that Modal Structuralism, as interpreted via Theistic Conceptual Realism, provides a satisfying view of mathematics which we hope will appeal to Christian mathematicians in particular.

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