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Sunday, June 16, 2013

Infinity and Kant's Antinomy

Speranza

Similar to those who argue against the “completed” infinite by applying the standard of the
 
successive infinite, already Immanuel Kant thought that he can bring his first antinomy to

a ‘solution’ by taking recourse merely to ‘endlessness’ (i.e., the successive infinite).
 
In his

remarks about the first thesis of the second antinomy Kant states that space is not a

compositum (in reaction to atomistic views of space), since in determining its parts space is a

totum.

He therefore does have an eye for the totality character of spatial continuity.

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