Background euclidean geometry named after the greek mathematician euclid includes some of the oldest known mathematics and geometries that deviated from this were not widely accepted as legitimate until the 19th century the debate that eventually led to the discovery of the non euclidean geometries began almost as soon as euclid wrote elementsin the elements euclid begins with a . The existence of relatively consistent non euclidean geometries leads him to the view that geometric propositions cannot be determined by a priori intuitions and that it is necessary to study the structural relations between euclidean and non euclidean geometry nye 1979 111 poincare established a famous dictionary translating . 1 summary a broad foundation is laid for the theory in question and light is shed upon it from new sides if in conformity with the stimulus given by darwinism we conceive of all psychical life including science as biological appearance and if we apply to the theory the darwinian conceptions of struggle for existence of development and of selection
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