Q: What tier is transcending dimensions?
A: As specified above, a "dimension" is nothing more than a set of values representing a given direction within a system, and a multi-dimensional space can itself be thought of as a multiplication of several "copies" of these sets. For instance, the 3-dimensional space in which we live is often visualized as the set of all 3-tuples of real numbers (Thus, taking its values from the real number line, R), and is thus the result of the iterated multiplication: R x R x R = R³, likewise, 4-dimensional space is the set of all 4-tuples of real numbers, and is thus equal to R x R x R x R = R⁴, and so on and so forth.
Practically speaking, this means that there is no limit for the number of dimensions which a space can have whatsoever, and one can construct spaces whose dimension corresponds to any cardinal number, including the infinite ones mentioned above. It is not even necessary for us to restrict ourselves to values taken from the real numbers, either: It is also possible to define the space of all n-tuples of cardinal numbers (Which takes its values from V,
the class of all sets)
As a result, it is not at all feasible to take any statements involving a character existing "beyond dimensions" at face value, as this would lead to extremely inflated ratings largely dependent on
No-Limits Fallacies. Therefore, such descriptors are to be evaluated while taking into account the number of dimensions which the verse has been shown to entertain; for example, a character stated to exist above physical dimensions in relation to a 4-dimensional cosmology would be
Low 1-C with no further context.