On the concept of finitism.
At the most general level, the concept of finitism is typically characterized by saying that finitistic mathematics is that part of mathematics which does not appeal to completed infinite totalities and is endowed with some epistemological property that makes it secure or privileged. This paper argu...
| Publicado en: | Synthese Vol. 192; no. 8; pp. 2413 - 2437 |
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| Autor principal: | |
| Formato: | Artículo |
| Publicado: |
Springer Nature
Aug2015
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| Materias: | |
| Acceso en línea: | Ver este registro en EBSCOhost |
| Sumario: | At the most general level, the concept of finitism is typically characterized by saying that finitistic mathematics is that part of mathematics which does not appeal to completed infinite totalities and is endowed with some epistemological property that makes it secure or privileged. This paper argues that this characterization can in fact be sharpened in various ways, giving rise to different conceptions of finitism. The paper investigates these conceptions and shows that they sanction different portions of mathematics as finitistic. |
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