It's very difficult to make my head hurt.
Really? Then read the articles I just linked before you post here again. They contain the explanation you keep demanding. I've already explained it in layman's terms, but you have counterfactual beliefs stuck in your brain that you need to dislodge, and it appears the only way to do that is for you to work through the details.
I did no searches. Those are the fundamental terms of the subject - what computation is, what it means for something to be effectively computable, the Church-Turing thesis proving that all known classes of computation beyond a certain power are mathematically equivalent, a result of a mathematical significance nearly as great as Godel's theorems.
I'm asking you to explain what you mean by the terms.
I have, repeatedly. Since you refuse to accept - or, it would seem, even consider - my explanations, I've referred you to an online resource providing considerable further detail.
Read it.
And I don't recall you giving an explanation in layman's terms upthread, so perhaps you could repeat it for me.
I've given it several times, so honestly, you can't have been reading my posts. Why then should I continue responding to you?
But here goes:
Computation is the manipulation of symbolic representations, and the switching of further actions based on the results of the manipulation.
You might ask "symbolic representations of what"? The answer is: Of anything.
This is what the brain does, Piggy. It's all symbols. Photons strike your retina and are represented as electrical signals in the optic nerve. These signals pass through to the primary visual cortext which produces a one-to-one spatial map in neurons of the visual field. Indeed, this map is so direct and precise that we can examine it with an FMRI and read the text you are looking at.
Though you have to sit pretty still for that to work...
Reference for further reading. I'm not going to write it all out for you.
Also, Professor Wolfe - the guy who gives those excellent MIT lecures - is a visual perception researcher, so if you're interested in that stuff the lectures will be of particular, um, interest. But I recommend them very highly regardless.