Comment by adrianN
4 days ago
There are no uninteresting natural numbers. One, as the smallest natural number, is certainly interesting. Assume all numbers up to n are interesting. If n+1 is uninteresting it is the smallest uninteresting number and therefore interesting.
And yet everybody cares precisely nothing about almost all natural numbers.
… where we came in. The premise is flawed. n + 3 can never become interesting because when n + 2 becomes the smallest uninteresting number, n + 1 cannot hold that distinction at the same time, so n + 1 loses its interesting status as the smallest interesting number, and becomes uninteresting again, which means n + 2 is no longer the smallest uninteresting number, n + 1 is and isn’t this…