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Mathematical Dimensions

Not necessarily. It would depend on how those mathematical dimensions are defined. For instance in real analysis a set can have dozens of dimensions and still only have a finite number of points, making an n-dimensional object and an m dimensional object (where n>m>0) both finite. On the other hand, in calculus, n dimensional objects can be divided into infinite n-1 dimensional onjects, that have properties like hypomass or hypoenergy, where it takes an infinite quantity of them to amount to any n-mass or n-energy, in this case any n dimensional object would have to be infinitely superior to an n-1 dimensional object.
 
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