Sure but I would argue those are a countably infinite pool of words. Show me a language that has an uncountably infinite set of words to use. Then I will be impressed.
countably infinite means that you could create a 1-1 mapping with the integers; ie you could generate an infinitely-sized list.
uncountably infinite means that you could not generate a list; no pattern generates an infinite list of all the elements of the set.
For example. The rational numbers are a countably infinite set of numbers, but the real numbers are uncountably infinite (because of irrational numbers).
the thought is interesting though. A language where new words can be dynamically created, and all parties understand without updating each others core dictionary. If that makes sense.
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