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I mean, yeah. Compared to infinity, the number of particles in the universe is essentially zero.
Theorem - All numbers are interesting
Demonstration:
- 0 is interesting
- if n is interesting, n+1 is either interesting or not interesting.
– If n+1 is not interesting, we take interest in it as it it the smallest non-interesting number. - Therefore, n+1 is interesting
By induction, all numbers are interesting
My favorite version of this proof:
Let S be the subset of natural numbers that are not interesting. Suppose by way of contradiction that S is inhabited. Then by the well ordering principle of natural numbers, there is a least such element, s in S. In virtue of being the least non interesting number, s is in fact interesting. Hence s is not in S. Since s is in S and not in S, we have derived a contradiction. Therefore our assumption that S is inhabited must be false. Thus S is empty and there are no non interesting numbers.
I think 6 is a rather big number. It’s more than I can count on one hand.
Start counting in binary. Gets you to 31 on one hand, 1023 on two.
