> The problem with that line of reasoning is you're assuming the brain is a computer, or that it merely computes.
The brain can compute. That's extraordinary. I say one type of thing does that, computers. You say no, two things, computers and then also brains. But when pressed to explain what is a brain if not a computer you'll just sputter (probably at length) without offering any substance.
In a sense that's the wrong way up to explain it. Church-Turing intuitively defines computation (the things computers can do) in terms of what our brains can do, so the match is not a coincidence but it also isn't there for the reason you probably expect. Because it's an intuition Church-Turing isn't provable, but you may notice that we subsequently built an _entire world-changing industry_ upon it in a lifetime.
You pointed to a review, others have written entire books, always they can be summarised as simply arguments from incredulity. "What? Nonsense, the brain can't be a computer, I simply won't believe that". It's unfortunate that we have woken such people from their daydreaming, I have no doubt that if similarly aroused they'd give the mathematicians what for too, "What? Nonsense, how can there be numbers which aren't ratios of whole numbers, I simply won't believe it".
The brain can compute. That's extraordinary. I say one type of thing does that, computers. You say no, two things, computers and then also brains. But when pressed to explain what is a brain if not a computer you'll just sputter (probably at length) without offering any substance.
In a sense that's the wrong way up to explain it. Church-Turing intuitively defines computation (the things computers can do) in terms of what our brains can do, so the match is not a coincidence but it also isn't there for the reason you probably expect. Because it's an intuition Church-Turing isn't provable, but you may notice that we subsequently built an _entire world-changing industry_ upon it in a lifetime.
You pointed to a review, others have written entire books, always they can be summarised as simply arguments from incredulity. "What? Nonsense, the brain can't be a computer, I simply won't believe that". It's unfortunate that we have woken such people from their daydreaming, I have no doubt that if similarly aroused they'd give the mathematicians what for too, "What? Nonsense, how can there be numbers which aren't ratios of whole numbers, I simply won't believe it".