Mathematical explanation and indispensability
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| Format: | Artículo científico |
| Language: | en |
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Universidad del País Vasco/Euskal Herriko Unibertsitatea
2018
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| _version_ | 1876447740464988160 |
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| author | Susan Vineberg |
| author_facet | Susan Vineberg |
| contents | Mathematical explanation and indispensability Susan Vineberg Filosofía realism explanation structuralism Indispensability This paper discusses Baker’s Enhanced Indispensability Argument (EIA) for mathematical realism on the basis of the indispensable role mathematics plays in scientific explanations of physical facts, along with various responses to it. I argue that there is an analogue of causal explanation for mathematics which, of several basic types of explanation, holds the most promise for use in the EIA. I consider a plausible case where mathematics plays an explanatory role in this sense, but argue that such use still does not support realism about mathematical objects. 2018 artículo científico 0495-4548 https://www.redalyc.org/articulo.oa?id=339755528006 https://www.redalyc.org/journal/3397/339755528006/ https://www.redalyc.org/journal/3397/339755528006/html/ https://www.redalyc.org/journal/3397/339755528006/339755528006.epub https://www.redalyc.org/journal/3397/339755528006/movil https://doi.org/10.1387/theoria.17615 en http://www.redalyc.org/revista.oa?id=3397 THEORIA. Revista de Teoría, Historia y Fundamentos de la Ciencia application/pdf Universidad del País Vasco/Euskal Herriko Unibertsitatea THEORIA. Revista de Teoría, Historia y Fundamentos de la Ciencia (España) Num.2 Vol.33 |
| format | Artículo científico |
| id | redalyc_339755528006 |
| institution | Redalyc |
| language | en |
| publishDate | 2018 |
| publisher | Universidad del País Vasco/Euskal Herriko Unibertsitatea |
| spellingShingle | Mathematical explanation and indispensability Susan Vineberg Filosofía realism explanation structuralism Indispensability Mathematical explanation and indispensability Susan Vineberg Filosofía realism explanation structuralism Indispensability This paper discusses Baker’s Enhanced Indispensability Argument (EIA) for mathematical realism on the basis of the indispensable role mathematics plays in scientific explanations of physical facts, along with various responses to it. I argue that there is an analogue of causal explanation for mathematics which, of several basic types of explanation, holds the most promise for use in the EIA. I consider a plausible case where mathematics plays an explanatory role in this sense, but argue that such use still does not support realism about mathematical objects. 2018 artículo científico 0495-4548 https://www.redalyc.org/articulo.oa?id=339755528006 https://www.redalyc.org/journal/3397/339755528006/ https://www.redalyc.org/journal/3397/339755528006/html/ https://www.redalyc.org/journal/3397/339755528006/339755528006.epub https://www.redalyc.org/journal/3397/339755528006/movil https://doi.org/10.1387/theoria.17615 en http://www.redalyc.org/revista.oa?id=3397 THEORIA. Revista de Teoría, Historia y Fundamentos de la Ciencia application/pdf Universidad del País Vasco/Euskal Herriko Unibertsitatea THEORIA. Revista de Teoría, Historia y Fundamentos de la Ciencia (España) Num.2 Vol.33 |
| title | Mathematical explanation and indispensability |
| topic | Filosofía realism explanation structuralism Indispensability |
| url | https://www.redalyc.org/articulo.oa?id=339755528006 https://www.redalyc.org/journal/3397/339755528006/ https://www.redalyc.org/journal/3397/339755528006/html/ https://www.redalyc.org/journal/3397/339755528006/339755528006.epub https://www.redalyc.org/journal/3397/339755528006/movil https://doi.org/10.1387/theoria.17615 |