That doesn't mean trying to understand how the brain works isn't going to help us understand cognition. If anything, it can be an interesting source of inspiration. But it means that's just one avenue among many. And I'd bet it's not the one that's going to get us there first.
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Boolen wasn't chosen arbitrarily but otherwise I agree with your sentiments. I'm still annoyed that Python was the language of choice for Tensorflow, but at least it wasn't Lisp.
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Classical mathematics is unfortunately timeless, so we want to narrow it down to constructionist mathematics, which happens to be identical to computation. Boolean algebra is simply one of the many automata that equivalently define universal computation. Even NAND is enough.
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Nand That's All, Folks!
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The Brain is the least organ we know. Why explain ‘black box’ with another mystery. Inspiration sure but not the source of AGI.
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Serious question: doesn't your statement presume that what we define as "mathematics" is not constrained by our own cognition? Or put another way, can a mathematics developed by our cognition ever be sufficient to fully model that same cognition?
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True, Intelligence is contextual. There is no single definition to intelligence, it comes in many forms. I think experience is what defines intelligence. We all should focus on how it all started, rather than replicating the brain.
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Lots of natural systems are capable of learning and computation. Who knew that ecosystems solve least squares problems (http://www.pnas.org/content/pnas/64/4/1369.full.pdf …) or that single cells do maximum likelihood estimation (http://physics.bu.edu/~pankajm/Papers/PRLThermoStat.pdf …)?
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"Understanding the brain is a fascinating problem but I think it’s important to keep it separate from the goal of AI which is solving problems. If you conflate the two it’s like aiming at two mountain peaks at the same time—you usually end up in the valley between them." (Norvig)
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