I know in the purest sense that things like Shannon’s entropy
and all that should exist even without humans, but is this really
the best measure of information?
For instance, if an alien broadcasted the prime numbers in
increasing order, it’s just “noise” that’d get lost even though
there is information there. (I think this might not be true, since
surely there’d be some pattern here right?)
Follow up, does the increasing sequence of primes actually
contain information and how much? (Perhaps could encode as bytes
and then measure that way)