Tree Form

What is TREE(ALPHABET)(NUMBER) anyway? This question is interesting to me because it is inconceivable what the number would be, but it is also inconceivable to me what perspective could actually conceive of it. What is also interesting here is that the argument could be made that because (NUMBER) is itself infinite, that the answer is undefined, but still one would need to approach the problem from an angle initially. If that first angle attempted is the calculation of TREE from 1, 2, 3... Then the fact that (NUMBER) is infinite would actually be dwarfed, in meaning for why the solution is undefined, before reaching TREE3. Is there an expression for how rapidly infinity's meaning is eclipsed by the staggering nature of the numbers involved?

Eventually this is meant more as an engine for discovery than a question seeking a solution, but it may be that the system must pause and frustrate before it can be reshaped to where an impossibility can be used instead as a vessel.

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