Equality, similarity and congruence are essential elements of Kant’s theory of geometrical cognition; nevertheless, Kant’s account of them is not well understood. This paper provides historical context for treatments of these geometrical relations, presents Kant’s views on their mathematical definitions, and explains Kant’s theory of their cognition. It also places Kant’s theory within the larger context of his understanding of the quality-quantity distinction. Most importantly, it argues that the relation of equality, in conjunction with the categories of quantity, plays a pivotal and wide-ranging role in Kant’s account of mathematical cognition.
Contents
-
Requires Authentication UnlicensedKant on Fundamental Geometrical RelationsLicensedJuly 27, 2005
-
Requires Authentication UnlicensedDescartes on Divine Providence and Human FreedomLicensedJuly 27, 2005
-
Requires Authentication UnlicensedReasons, Emotions, and God’s Presence in Anselm of Canterbury’s Cur deus homoLicensedJuly 27, 2005
-
Requires Authentication UnlicensedRezensionenLicensedJuly 27, 2005