Lange on Mathematical Explanation, Grounding, and the Divergence Thesis

Mark Lange has defended the view that mathematical explanation and grounding explanation diverge. In this paper, I argue that at least one type of grounding relation is immune to his criticisms. After fixing a minimal separatist theory of ground, I show that his arguments mostly rely on another the...

Full description

Saved in:
Bibliographic Details
Main Author: Mohammad Maarefi
Format: Article
Language:English
Published: Universidad Nacional Autónoma de México (UNAM) 2025-04-01
Series:Crítica
Subjects:
Online Access:https://critica.filosoficas.unam.mx/index.php/critica/article/view/1658
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Mark Lange has defended the view that mathematical explanation and grounding explanation diverge. In this paper, I argue that at least one type of grounding relation is immune to his criticisms. After fixing a minimal separatist theory of ground, I show that his arguments mostly rely on another thesis about grounding (I’ll call it “atomic grounding thesis”), which is not supported. Furthermore, a second attempt at using purity is not entirely satisfactory.
ISSN:0011-1503
1870-4905