Journal article 12 views
Mathematics and Explanatory Generality: Nothing but Cognitive Salience
Rob Fraser 
,
Juha Saatsi
,
Juha Saatsi
Erkenntnis, Volume: 86, Issue: 5, Pages: 1119 - 1137
Swansea University Author:
Rob Fraser
Full text not available from this repository: check for access using links below.
DOI (Published version): 10.1007/s10670-019-00146-x
Abstract
We demonstrate how real progress can be made in the debate surrounding the enhanced indispensability argument. Drawing on a counterfactual theory of explanation, well-motivated independently of the debate, we provide a novel analysis of ‘explanatory generality’ and how mathematics is involved in its...
| Published in: | Erkenntnis |
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| ISSN: | 0165-0106 1572-8420 |
| Published: |
Springer Science and Business Media LLC
2021
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| Online Access: |
Check full text
|
| URI: | https://cronfa.swan.ac.uk/Record/cronfa68388 |
| Abstract: |
We demonstrate how real progress can be made in the debate surrounding the enhanced indispensability argument. Drawing on a counterfactual theory of explanation, well-motivated independently of the debate, we provide a novel analysis of ‘explanatory generality’ and how mathematics is involved in its procurement. On our analysis, mathematics’ sole explanatory contribution to the procurement of explanatory generality is to make counterfactual information about physical dependencies easier to grasp and reason with for creatures like us. This gives precise content to key intuitions traded in the debate, regarding mathematics’ procurement of explanatory generality, and adjudicates unambiguously in favour of the nominalist, at least as far as explanatory generality is concerned. |
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| College: |
Faculty of Humanities and Social Sciences |
| Funders: |
British Academy (pf160035) |
| Issue: |
5 |
| Start Page: |
1119 |
| End Page: |
1137 |