4 ms·
"If there really are an infinite number of natural numbers then some of them must be of a transfinite number of digits or else you would be including numbers in
by myren 9y ago
"If there really are an infinite number of natural numbers then some of them must be of a transfinite number of digits or else you would be including numbers in the list more than once."
Theorem: There are no infinite natural numbers.
Proof: By Induction:
Induction Start: 0 is finite.
Induction Step: If n is finite then n+1 is finite.
The principle of induction then tells us: All natural numbers are finite.
If all natural numbers are finite, then there are no infinite natural numbers.
End of proof.