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The Three-Dimensional Universe, Where We Are Not Living...

Even the ancient Greeks transformed mathematics from an empirical science into a deductive one. They demanded that proofs of mathematical statements should be concluded from the basic conceptions, and excluding the reference to the experience gained as an argument. Pure mathematics investigates the forms and relations as distinct from material content. For instance, its direct subject is an ideal ball, but not one or another ball-shaped body. Another example: mathematics deals with integers in general...

Modified: 30.05.2006
space , manifold , geometry , Euclid , Lobachevsky , Riemann , mathematics , multi-dimensional , forms , point , sphere , torus , polyhedral , orbifolds
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