Re: Does the Calculus rest on Euclid?

Gene Ward Smith wrote:


Virgil wrote:

Kant has been shown wrong about the supposedly a priori truths of
geometry.

That's not really clear. Kant said Euclidean 3D geometry was the kind
we had in our heads, so to speak, and that's certainly arguable. He
also said that didn't mean it must be true of things as they actually
are, and in thinking that he seems to have been well ahead of his time.
Ok, what am I missing here? You seem to be in agreement with me.
--
Nil conscire sibi
.

Relevant Pages

  • Re: Does the Calculus rest on Euclid?
    ... Kant said Euclidean 3D geometry was the kind ... we had in our heads, so to speak, and that's certainly arguable. ... Euclidean geometry is only a very small part of mathematics. ...
    (sci.math)
  • Re: Does the Calculus rest on Euclid?
    ... Kant said Euclidean 3D geometry was the kind ... we had in our heads, so to speak, and that's certainly arguable. ...
    (sci.math)
  • Re: Epistemology 201: The Science of Science
    ... >dimension and one temporal dimension. ... >>simply don't travel in straight lines. ... >surface of the Earth to be a non-Euclidean 2D geometry, ... Euclidean and non Euclidean geometries alike even if you can't ...
    (sci.math)
  • Re: Epistemology 201: The Science of Science
    ... >dimension and one temporal dimension. ... >>simply don't travel in straight lines. ... >surface of the Earth to be a non-Euclidean 2D geometry, ... Euclidean and non Euclidean geometries alike even if you can't ...
    (sci.cognitive)
  • Re: Epistemology 201: The Science of Science
    ... >dimension and one temporal dimension. ... >>simply don't travel in straight lines. ... >surface of the Earth to be a non-Euclidean 2D geometry, ... Euclidean and non Euclidean geometries alike even if you can't ...
    (sci.physics)