the infinite infinities concept in mathematics is unnecessary. the infinity alreary means that there is no end, thus taking in a matrix of symbols each symbol in the diagonal and changing the symbols to create a new sequence simply adds another unique list of symbols to the existing infinity which was infinite already before, thus not changing the properties of the infinity. that makes the concept of infinite infinities redundant, it equals to simple infinity which will never run out of unique sequences of numbers. you can use the infinite infinities procedure as a proof of the true infinity but not as a separate concept.
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