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    A continuous manifold does not share this necessary coupl... — Carmelics
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    Supports→In a continuous manifold, the concept of the manifold and its continuity properties can be separated from its metrical structure.

    A continuous manifold does not share this necessary coupling between set determination and quantitative/metrical determination.

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    In a continuous manifold, the concept of the manifold and its continuity propert...In a discrete manifold, the determination of a set necessarily implies the deter...Riemann demonstrated that local differential topological structure and metrical ...

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    Under the influence of Gauss and Grassmann, Riemann’s great philosophical contribution consisted in the demonstration that, unlike the case of a discrete manifold, where the determination of a set necessarily implies the determination of its quantity or cardinal number, in the case of a continuous manifold, the concept of such a manifold and of its continuity properties, can be separated form its metrical structure. Using modern terminology, Riemann separated a manifold’s local differentia

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