Roo Phillips

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For example, three points can satisfy the relation that they lie on a line. There’s a different mathematical structure corresponding to Euclidean space with four dimensions and with any other number of dimensions. Mathematicians have also discovered many other types of more general spaces that form their own mathematical structures, like so-called Minkowski space, Riemann spaces, Hilbert spaces, Banach spaces and Hausdorff spaces. Many people used to think that our three-dimensional physical space was a Euclidean space. However, we saw in Chapter 2 that Einstein put an end to that. First his ...more
Our Mathematical Universe: My Quest for the Ultimate Nature of Reality
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