Quantitative limitations amount to qualitative limitations in this case.
The only truly universal TM has infinite memory and is infinitely programmable. Neither is true of humans.
We can’t completely wipe and reload our brains, so we might be forever constrained by some fundamental hardcoding , something like Chomskyan innate linguistic structures , or Kantian perceptual categories.
And having quantitative limitations puts a ceiling on which concepts and theories we can entertain. Which is effectively a qualitative limit.
AIs are also finite , although they might have less restrictive limits.
There’s no jump to universality because there is no jump to infinity.
We don’t have infinite memory, but we have the capacity to create all the memory we need as we need it, all we need to do is create it. Being infinity programable goes back to what David was saying. Claiming that there are things we can’t program, which is a subset of understanding something, is similar to claiming that some part of reality is not explicable.
Also, some of our knowledge does have infinite reach, and therefore we also have infinite reach. Take general relativity, it applies for all physical reality (as I was typing I realize that we don’t know if the universe is infinite or not) but our knowledge of infinity itself is infinite.
Quantitative limitations amount to qualitative limitations in this case.
The only truly universal TM has infinite memory and is infinitely programmable. Neither is true of humans.
We can’t completely wipe and reload our brains, so we might be forever constrained by some fundamental hardcoding , something like Chomskyan innate linguistic structures , or Kantian perceptual categories.
And having quantitative limitations puts a ceiling on which concepts and theories we can entertain. Which is effectively a qualitative limit.
AIs are also finite , although they might have less restrictive limits.
There’s no jump to universality because there is no jump to infinity.
We don’t have infinite memory, but we have the capacity to create all the memory we need as we need it, all we need to do is create it. Being infinity programable goes back to what David was saying. Claiming that there are things we can’t program, which is a subset of understanding something, is similar to claiming that some part of reality is not explicable.
Also, some of our knowledge does have infinite reach, and therefore we also have infinite reach. Take general relativity, it applies for all physical reality (as I was typing I realize that we don’t know if the universe is infinite or not) but our knowledge of infinity itself is infinite.