L’intuitionnisme d’al-Samaw’al : algèbre, arithmétique, géométrie, théologie, cosmologie
This article studies the way in which al-Samaw’al al-Maġribī (d. 1175) develops a conception of truth that he systematically applies to all fields of knowledge, based on his reflection as an algebraist on the notion of problem. This doctrine is characterized by a marked tendency to interpret constru...
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| Format: | Article |
| Language: | deu |
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Éditions Kimé
2025-06-01
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| Series: | Philosophia Scientiæ |
| Online Access: | https://journals.openedition.org/philosophiascientiae/4787 |
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| Summary: | This article studies the way in which al-Samaw’al al-Maġribī (d. 1175) develops a conception of truth that he systematically applies to all fields of knowledge, based on his reflection as an algebraist on the notion of problem. This doctrine is characterized by a marked tendency to interpret constructibility, and therefore modalities, in terms of calculability. Given certain initial propositions, what is necessary is what is calculable from those propositions, the impossible is what is incalculable, and the possible is what cannot, at the present moment, be shown to be either calculable or incalculable. This position leads al-Samaw’al to adopt an intuitionist understanding of the mathematical subject that is opposed to any form of Platonism, where truth is not independent of the idealized time of discovery. |
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| ISSN: | 1281-2463 1775-4283 |