I think a more likely scenario turns out to be this:
Either there are precise mathematical concepts for what someone is talking about, or it doesn’t actually correspond to anything, but that the general case is exponential or worse in say propositional logic, and the more expressive logics to get at more concepts gets worse asymptotics very fast. You also need the constants and polynomial functions to play nicely in order for it to be tractable, for a finite being, so there’s that.
In essence, what I’m claiming is that logic/mathematics is way harder in the general case than people think, and that this explains why we can’t use crisp concepts in our everyday lives, or why we can’t generalize math/logic everywhere, as it will make everything very difficult to do by default.
Also, let me address this, while you’re at it:
(An example of this is that many game theorists get so used to the concept of Nash equilibrium that they start to honestly believe that defecting against one’s identical copy in a prisoner’s dilemma would be the smart thing to do.)
What are we assuming here, because your assumptions will dictate how you react here.
Logic/mathematics are still more useful than people think, but are also complicated even if it’s tractable.
I think a more likely scenario turns out to be this:
Either there are precise mathematical concepts for what someone is talking about, or it doesn’t actually correspond to anything, but that the general case is exponential or worse in say propositional logic, and the more expressive logics to get at more concepts gets worse asymptotics very fast. You also need the constants and polynomial functions to play nicely in order for it to be tractable, for a finite being, so there’s that.
In essence, what I’m claiming is that logic/mathematics is way harder in the general case than people think, and that this explains why we can’t use crisp concepts in our everyday lives, or why we can’t generalize math/logic everywhere, as it will make everything very difficult to do by default.
Also, let me address this, while you’re at it:
What are we assuming here, because your assumptions will dictate how you react here.
Logic/mathematics are still more useful than people think, but are also complicated even if it’s tractable.