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...
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Universidad Nacional Autónoma de México (UNAM)
2025-04-01
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| Series: | Crítica |
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| Online Access: | https://critica.filosoficas.unam.mx/index.php/critica/article/view/1658 |
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| author | Mohammad Maarefi |
| author_facet | Mohammad Maarefi |
| author_sort | Mohammad Maarefi |
| collection | DOAJ |
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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.
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| format | Article |
| id | doaj-art-8e9f72fed016462e92cdcfc3c2e69fc9 |
| institution | DOAJ |
| issn | 0011-1503 1870-4905 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Universidad Nacional Autónoma de México (UNAM) |
| record_format | Article |
| series | Crítica |
| spelling | doaj-art-8e9f72fed016462e92cdcfc3c2e69fc92025-08-20T03:13:26ZengUniversidad Nacional Autónoma de México (UNAM)Crítica0011-15031870-49052025-04-015716910.22201/iifs.18704905e.2025.1658Lange on Mathematical Explanation, Grounding, and the Divergence ThesisMohammad Maarefi0University School for Advanced Studies of Pavia (IUSS PAVIA), Italy 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. https://critica.filosoficas.unam.mx/index.php/critica/article/view/1658mathematical practicephilosophy of mathematicsgrounding relationgrounding explanationseparatism |
| spellingShingle | Mohammad Maarefi Lange on Mathematical Explanation, Grounding, and the Divergence Thesis Crítica mathematical practice philosophy of mathematics grounding relation grounding explanation separatism |
| title | Lange on Mathematical Explanation, Grounding, and the Divergence Thesis |
| title_full | Lange on Mathematical Explanation, Grounding, and the Divergence Thesis |
| title_fullStr | Lange on Mathematical Explanation, Grounding, and the Divergence Thesis |
| title_full_unstemmed | Lange on Mathematical Explanation, Grounding, and the Divergence Thesis |
| title_short | Lange on Mathematical Explanation, Grounding, and the Divergence Thesis |
| title_sort | lange on mathematical explanation grounding and the divergence thesis |
| topic | mathematical practice philosophy of mathematics grounding relation grounding explanation separatism |
| url | https://critica.filosoficas.unam.mx/index.php/critica/article/view/1658 |
| work_keys_str_mv | AT mohammadmaarefi langeonmathematicalexplanationgroundingandthedivergencethesis |