Our brains are an emergent properly of the large scale behaviour of the universe. There is no reason we should even assume we're capable of comprehending the small-scale universe's properties, let alone that they should "make sense" to us.
Our brains are an emergent properly of the large scale behaviour of the universe. There is no reason we should even assume we're capable of comprehending the small-scale universe's properties, let alone that they should "make sense" to us.
I don't think we can have an argument about whether we can generate a description of the universe that agrees with reality until we agree on what "making sense" means in the first place.
Then there are things which we cannot imagine intuitively, like 5-Dimensional hypercubes, but we can describe them in math quite easily.
Most people can't even intuit basic statistics properly. "Intuition" is no substitute for "theory, experiment and disproof".
Based on previous experiences, I suspect that the universe is governed by relatively simple rules that lead to complex emergent behavior, which would certainly be conducive to our understanding it.
The nature of that fundamental limitation may escape our grasp by definition. The article at least presents the idea that the strange observations of the quantum mechanical universe may sit outside the range of science. I think there's some merit to the idea that humans, not as "willful" entities, but as groups of particles swept up in a cosmic chain reaction, may face fundamental limitations to the "scope" of what we can grasp about the nature of the universe.
Of course, that could be totally wrong as well.
As for systems where it's hard to come up with a complete and consistent model...
- If coin flips were decided by a cryptographic random number generator, it would be intractable for us to extract the seed or even to distinguish the output from true randomness or go-both-ways indexical uncertainty.
- Probably-approximate-correct learning is not possible for all models [1].
- If we're unable to eliminate Boltzmann brains [2] from cosmological predictions, that would seem to imply agents should constantly assign near-certainty to being surrounded by heat death and ignoring that is more of an optimization-for-the-cases-where-you're-not-and-things-matter.
- If the number of rules is larger than the number of atoms in the universe, we're never going to be able to remember them all or write them all down.
1: http://en.wikipedia.org/wiki/Probably_approximately_correct_...