

I don’t think the distinction between “arbitrarily large” memory and “infinitely large” memory here matters
Also, Turing Completeness is measuring the “class” of problems a computer can solve (eg, the Halting Problem)
I conjecture that whatever the brain is doing to achieve consciousness is a fundamentally different operation, one that a Turing Complete machine cannot perform, mathematically
Also also, quantum computers (at least as i understand them, which is, not very well) are still Turing Complete. They just use analog properties of quantum wave functions as computational components









My conjecture is that some “super Turing” calculation is required for consciousness to arise. But that super Turing calculation might not be necessary for anything else like logic, balance, visual processing, etc
However, if the brain is capable of something super Turing, I also don’t see why that property wouldn’t translate to super Turing “higher order” brain functions like logic…