This is really a somewhat confusing issue, on which there is no general agreement. Some say that numbers (and other math concepts) exist independently of any physical reality. Others say that numbers are concepts made up by humans. However, note that if SOMEONE ELSE (say, some aliens) "make up" the numbers, many of the things will be exactly the same (for example, 2, 3, 5, 7, 11, 13, 17... will always be prime numbers, though the aliens may call them by a different name).
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It exists as a concept - not as a physical entity. It is the count of a single object.
Doesn't exist. D=500, I=1, L=50. It doesn't make scence!
No it does not.
A probability must needs be a number between 0 and 1 (often expressed as 0% and 100%), inclusive.
for what number of tereahedra exist kaleidocycle
infinit