There isn’t too much that is impossible. In general, if we can imagine it, we can build it (because we have already built it—inside our brains).
Intuitive ideas are inconsistent upon reflection, with this fact conveniently glossed over by the brain, because the details simply aren’t there. The brain has to perform additional work, actually fill in the details, to notice inconsistencies.
1: Imagine an invisible unicorn.
2: Carefully examine the properties of your invisible unicorn.
Notice how those properties are being generated on the fly as you turn your attention to some aspect of the unicorn which requires a value for that property?
Intuitive ideas are inconsistent upon reflection, with this fact conveniently glossed over by the brain, because the details simply aren’t there. The brain has to perform additional work, actually fill in the details, to notice inconsistencies.
1: Imagine an invisible unicorn. 2: Carefully examine the properties of your invisible unicorn.
Notice how those properties are being generated on the fly as you turn your attention to some aspect of the unicorn which requires a value for that property?