Wednesday, May 7, 2008
Kant believes that arithmetic and numbers hold no meaning. He points out that numbers can be replaced by any other sign or symbols, to which as long as there is a set, known pattern, one can calculate an answer. The action of addition is the succession of items. Kant argues that a similar operation occurs when one talks about time. Time is the succession of items as well, hence knowing what occurred chronologically. Kant goes on to argue that geometry is the relation of items, such as the concept of space. Time and space are not a posteriori but rather are a priori. If time relates to arithmetic and space relates to geometry, would that then mean geometry and arithmetic are also be a priori knowledge? Knowledge of time and space is clearly not analytic but instead is synthetic.
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