Comparing the capacity of brains and silicon hardware does not work by multiplying synaptic resolution with synapses etc., but by estimating the amount of determinism that can be extracted with respect to a best effort computing paradigm.
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Our brain compensates by running algorithms that are fine with partial determinism, but it cannot do magic. Noise is just noise. An operation on a bit counts only as much as the ability of the system to pass it on to the next operator.
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