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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
by somewhereoutth 7y ago
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.
- hvasilev 7y agoI 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.
- shrimpx 7y agoUnrelated to AGI, but quantum physics doesn't admit 'continuity'. Continuity is an abstraction. There are no real numbers in reality.