You overstate your case. The universe contains a finite amount of incompressible information, which is strictly less than the information contained in ZF+ωCK. That self-reference applies to the universe is obvious, because the universe contains computer programs.
The point is the universe is certainly a computer program, and that incompleteness applies to all computer programs (to all things with only finite incompressible information). In any case, I explained Godel with an explicitly empirical example, so I’m not sure what your point is.
That’s about as much of an argument as saying that the universe is contained in the decimal expansion of Pi, therefore Pi has all the information one needs.
You overstate your case. The universe contains a finite amount of incompressible information, which is strictly less than the information contained inZF+ωCK. That self-reference applies to the universe is obvious, because the universe contains computer programs.The point is the universe is certainly a computer program, and that incompleteness applies to all computer programs (to all things with only finite incompressible information). In any case, I explained Godel with an explicitly empirical example, so I’m not sure what your point is.
That’s about as much of an argument as saying that the universe is contained in the decimal expansion of Pi, therefore Pi has all the information one needs.
It’s really not, that’s the point I made about semantics.Eh that’s kind-of right, my original comment there was dumb.