"Euclidean geometry" Quotes from Famous Books
... relativity. 'Metageometries' have been invented by Riemann and Lobatschewski as rivals to the assumptions of Euclid, and the brilliant writings of Poincare have explained the human devices on which mathematical concepts rest. Euclidean geometry is reduced to a useful interpretation of the data of experience; it is not theoretically the only one. Its superior validity is dependent upon its use when applied to the physical world. Even mathematics, ... — Pragmatism • D.L. Murray |