Can there be a number which is provably larger than any number, yet is provably not infinite

Question

Suppose a natural number N.

Is it possible for this number to have the following properties:

What's your definition of natural number? – barak manos Oct 01 '16 at 19:09 — barak manos, Oct 01 '16 at 19:09
No, because (2) is impossible on its own. – Carl Mummert Oct 03 '16 at 14:03 — Carl Mummert, Oct 03 '16 at 14:03

score 2 · Accepted Answer · answered Oct 01 '16 at 18:37

2

No. Under this assumption, $N+1$ is also a finite natural number, but $N+1>N$.

answered Oct 01 '16 at 18:37

Carl Schildkraut

1 Answers1