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İmmesurable question

From the tiering system FAQ:


"A: No. To put it simply: Although the presence of the additional axis results in a higher-dimensional space being infinitely larger in comparision to a lower-dimensional one, the numerical values themselves remain unchanged, as a "dimension" is nothing more than a continuum of numbers representing a direction of space. Consequently, the euclidean distance between a Point A and a Point B is always represented by an one-dimensional path (Regardless of the dimension of the space in which they are embedded), whose length is always measurable and given by a generalization of the Pythagorean Theorem to n dimensions"
 
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