Do you think our map of the universe will seem very accurate to super intelligent beings? Does a chimpanzees map of the universe seem very accurate to you? Does our math “include something which will look very much like” a Chimp’s map?
A better map doesn’t necessarily include recognizable representations of a poorer map.
It’s just human vanity to believe that our concepts will be some subset of the concepts that a superintelligent being uses. Sure, if they were very motivated to bother, they could figure out our concepts and represent them in theirs, just as we can represent a Chimp’s knowledge with our concepts. But that a far cry from saying that their concepts will include something which will look very much like maths, anymore than our concepts include things very much like a Chimp’s concepts. Or a banana slug’s concepts.
Do you think our map of the universe will seem very accurate to super intelligent beings? Does a chimpanzees map of the universe seem very accurate to you? Does our math “include something which will look very much like” a Chimp’s map?
A better map doesn’t necessarily include recognizable representations of a poorer map.
It’s just human vanity to believe that our concepts will be some subset of the concepts that a superintelligent being uses. Sure, if they were very motivated to bother, they could figure out our concepts and represent them in theirs, just as we can represent a Chimp’s knowledge with our concepts. But that a far cry from saying that their concepts will include something which will look very much like maths, anymore than our concepts include things very much like a Chimp’s concepts. Or a banana slug’s concepts.