Date: Mar 30, 2013 10:38 PM
Author: Shmuel (Seymour J.) Metz
Subject: Re: Mathematics and the Roots of Postmodern Thought
In <D8OdnVFB9IWK6MvMnZ2dnUVZ_rSdnZ2d@giganews.com>, on 03/30/2013

at 12:15 AM, fom <fomJUNK@nyms.net> said:

>If one wishes to argue that "real" space is curved

>but that the curvature is so slight as to be negligible,

That would be Physics rather than Mathematics.

>If the sensible impressions relate to each other in the Euclidean

>sense, that is precisely Kant's thesis.

<http://en.wikipedia.org/wiki/Geometry#Geometry_beyond_Euclid>:

"Immanuel Kant argued that there is only one, absolute, geometry,

which is known to be true a priori by an inner faculty of mind:

Euclidean geometry was synthetic a priori.[3]"

<http://en.wikipedia.org/wiki/Non-Euclidean_geometry#Importance>:

"The philosopher Immanuel Kant's treatment of human knowledge had a

special role for geometry. It was his prime example of synthetic a

priori knowledge; not derived from the senses nor deduced through

logic - our knowledge of space was a truth that we were born with."

That doesn't sound like a pragmatic appeal to observation.

--

Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>

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