„Euclidean geometry can be easily visualized; this is the argument adduced for the unique position of Euclidean geometry in mathematics. It has been argued that mathematics is not only a science of implications but that it has to establish preference for one particular axiomatic system. Whereas physics bases this choice on observation and experimentation, i. e., on applicability to reality, mathematics bases it on visualization, the analogue to perception in a theoretical science. Accordingly, mathematicians may work with the non-Euclidean geometries, but in contrast to Euclidean geometry, which is said to be "intuitively understood," these systems consist of nothing but "logical relations" or "artificial manifolds". They belong to the field of analytic geometry, the study of manifolds and equations between variables, but not to geometry in the real sense which has a visual significance.“

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Hans Reichenbach
1891 - 1953
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—  Albert Einstein German-born physicist and founder of the theory of relativity 1879 - 1955
Letter to J.S. Switzer (23 April 1953), quoted in The Scientific Revolution: a Hstoriographical Inquiry By H. Floris Cohen (1994), p. 234 http://books.google.com/books?id=wu8b2NAqnb0C&lpg=PP1&pg=PA234#v=onepage&q&f=false, and also partly quoted in The Ultimate Quotable Einstein edited by Alice Calaprice (2010), p. 405 http://books.google.com/books?id=G_iziBAPXtEC&lpg=PP1&pg=PA405#v=onepage&q&f=false

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