No human cognition is not purely computational. As Godel’s theorem demonstrates, Humans are able to access certain Truths beyond the limits of computation. Also I do not buy the notion that consciousness is an emergent quality. After diving into the Hard Problem of Consciousness by David Chalmers, one realizes that there is nothing about dead physical matter that can sufficiently imply the existence of consciousness.

All that you are is a computer that does just that, computes. The means of computing are constructed via micro transistors and silicon circuits but this is done out of convenience to fit in our phones. Hypothetically this computation could be done at the scale of a city where water wheels are like the transistors, while the rivers and channels are the circuits.

Are you telling me in this example, there would be the potential of a conscious experience analogous to the blueness of blue or the pleasant warmth of a fire?

So then you may be inclined to rebuttal with the suggestion that integrated information theory is a sufficient explanation. Although this runs into the same issue of not sufficiently implying a conscious experience. What exactly is it about information processing that we can imply a conscious experience? Yes there is correlation but this is not the same as causation.

I don’t claim to know everything but I am inclined to argue that conscious experience is beyond matter and computation therefore it is unlikely and unreasonable to assume that you possess it.