The Greeks encountered the confusion of tongues when numbers invaded Euclidean space.
Marshall McLuhan
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...the differential element of non-Euclidean spaces is Euclidean. This fact, however, is analogous to the relations between a straight line and a curve, and cannot lead to an epistemological priority of Euclidean geometry, in contrast to the views of certain authors.
Hans Reichenbach
The concept of congruence in Euclidean geometry is not exactly the same as that in non-Euclidean geometry. ..."Congruent" means in Euclidean geometry the same as "determining parallelism," a meaning which it does not have in non-Euclidean geometry.
Hans Reichenbach
The classical theorists resemble Euclidean geometers in a non-Euclidean world who, discovering that in experience straight lines apparently parallel often meet, rebuke the lines for not keeping straight—as the only remedy for the unfortunate collisions which are occurring. Yet, in truth, there is no remedy except to thro over the axiom of parallels and to work out a non-Euclidean geometry.
John Maynard Keynes
Your ancestors invaded Macedonia and the rest of Greece and did us great harm, though we had done them no prior injury; ... [and] I have been appointed leader of the Greeks ...
Arrian
The victory over Euclidean space was not achieved by isolated individuals, but by a field of young rebels opposed to all absolutes.
Marshall McLuhan
McLuhan, Marshall
McManners, Joseph
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