> It's an empty range, there is nothing illogical about it.

Yeah, this is the source of my confusion. For the "non-mathematically inclined" 
minds a "range of natural numbers from 0 to -4" is a contradiction in terms, 
but for mathematically inclined this is just an empty set. That's what you get 
having more Aristotle than Cantor or Leibniz. I have no other way but to 
readjust. Thanks for bearing with me.

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