Kant's Conception of Number

Datos Bibliográficos

ID10692679
AutoresDaniel Sutherland (0000-0002-3529-6943, University of Illinois Chicago, autor de correspondencia)
Año2017
Volumen126
Número2
Páginas147-190
Fecha de publicación2017-04-01
Peer ReviewedSí
Open AccessNo
TipoARTICLE
RevistaThe Philosophical Review (JOURNAL)
Identificadores de la revistaISSN: 0031-8108 • E-ISSN: 1558-1470
EditorialDuke University Press (PUBLISHER • US)
DOI10.1215/00318108-3771988
OpenAlexW2606747463
IdiomaEN
Citas recibidas3
Referencias citadas21

Despite the importance of Kant's claims about mathematical cognition for his philosophy as a whole and for subsequent philosophy of mathematics, there is still no consensus on his philosophy of arithmetic, and in particular the role he assigns intuition in it. This inquiry sets aside the role of intuition for the nonce to investigate Kant's conception of natural number. Although Kant himself doesn't distinguish between a cardinal and an ordinal conception of number, some of the properties Kant attributes to number can be characterized as cardinal or ordinal. This essay argues that Kant's conception of number includes both cardinal and ordinal elements; it suggests that the cardinal elements provide the basis of a conception of number in general, while the ordinal elements contribute to specifying the exact size of particular collections. In considering these elements, roles for intuition begin to emerge, setting the stage for a reevaluation of the role of intuition in Kant's arithmetic

Analytic philosophy · Cardinal number (linguistics) · Contemporary philosophy · Epistemology · Intuition · Linguistics · Philosophy of Mathematics · Philosophy of science · Historical Philosophy and Science · Mathematics · Philosophical Ethics and Theory · Philosophy · Philosophy and Theoretical Science