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Mathematically speaking, current computers run in discrete (integer/countable) space, and the human brain exists in continuous (real/uncountable) space. Cantor showed that continuous space is larger than, and thus cannot be represented in, discrete space (via diagonal method). I suggest that AGI and consciousness lie in continuous space, and thus are unreachable with our current discrete computation model, regardless of how sophisticated we make it. There exists a cardinality barrier.


I wonder how these people have decided it is possible with a digital computer, given that the brain is analog. I wouldn't be surprised if the first step through AGI is to actually crack the analog computer hardware problem.


Unrelated to AGI, but quantum physics doesn't admit 'continuity'. Continuity is an abstraction. There are no real numbers in reality.




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