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Does this site still use dimensional tiering?
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I was just curious someone told me it was fallacious and self contradictoryPretty much, what would make you think otherwise?
I think it's uncountably infinitely superior?5D >>> 4D but now you need to prove it actually is infinitely superior.
YepI think it's uncountably infinitely superior?
What we use here is still dimensional tiering, but it's moderately different from the kind of dimensional tiering we used to do: higher-dimensional objects are still infinitely larger than their lower-dimensional equivalents, but we no longer equate that to being infinitely stronger, necessarily. The Tiering System FAQ covers this matter adequately - I recommend that you refer to that if you have any questions about the tiering system, since that's what it was made for.What is the difference between dimensional tiering and what is used here?
It actually doesn't. It nowhere includes the uncountably infinite part, a point that has been brought up before, it should be changed.What we use here is still dimensional tiering, but it's moderately different from the kind of dimensional tiering we used to do: higher-dimensional objects are still infinitely larger than their lower-dimensional equivalents, but we no longer equate that to being infinitely stronger, necessarily. The Tiering System FAQ covers this matter adequately - I recommend that you refer to that if you have any questions about the tiering system, since that's what it was made for.
It does, though. Refer to this excerpt from the section on how cardinal numbers relate to tiering:It actually doesn't. It nowhere includes the uncountably infinite part, a point that has been brought up before, it should be changed.
And this quote from the last section, the one discussing the tier of "transcending dimensions":We then move on to the power set of ℵ0, P(ℵ0), which is an uncountably infinite quantity and represents the set of all the ways in which you can arrange the elements of a set whose cardinality is the former, and is also equal to the size of the set of all real numbers. In terms of points, one can say that everything from 1-dimensional space to (countably) infinite-dimensional space falls under it, as all of these spaces have the same number of elements (coordinates, in this case), in spite of each being infinitely larger than the preceding one by the intuitive notions of size that we regularly utilize (Area, Volume, etc).
These two are essentially saying the same thing: that the difference in scale between, say, 2-D and 3-D is (uncountably) infinite, as is the difference between 3-D and 4-D, between 4-D and 5-D, etc. Hence, their visualization as multiples of the set of all real numbers, which is an uncountable set.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.