https://stackoverflow.com/questions/2497146/is-css-turing-co...
Our brains use quantum computation within each neuron [1].
And there's also the other side of the GP's point--Turing completeness not necessary for creativity--not by a long shot. (In fact, humans are not Turing complete.)
> Turing completeness not necessary for creativity--not by a long shot.
This is by far a more extreme claim than the others in this thread. A system that is not even Turing complete is extremely limited. It's near impossible to construct a system with the ability to loop and branch that isn't Turing complete, for example.
>(In fact, humans are not Turing complete.)
Humans are at least trivially Turing complete - to be Turing complete, all we need to be able to do is to read and write a tape or simulation of one, and use a lookup table with 6 entries (for the proven minimal (2,3) Turing machine) to choose which steps to follow.
Maybe you mean to suggest we exceed it. There is no evidence we can.
> all we need to be able to do is to read and write a tape or simulation of one
An infinite tape. And to be Turing complete we must "simulate" that tape--the tape head is not Turing complete, the whole UTM is.
> A system that is not even Turing complete is extremely limited.
PDAs are not "extremely limited", and we are more limited than PDAs because of our very finite nature.
