Good_Burning_Plastic comments on The Brain as a Universal Learning Machine - LessWrong

82 Post author: jacob_cannell 24 June 2015 09:45PM

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Comment author: Good_Burning_Plastic 03 July 2015 01:09:11PM *  0 points [-]

Even without a concept of "even number", wouldn't this neolithic human be able to figure out an algorithm to compute the right answer? They just need to scan the line, flipping a mental switch for each black pebble they encounter, and then add a black pebble if and only if the switch is not in the initial position.

Well, given how hard it is for Haitians to understand numerical sorting...

Comment author: V_V 03 July 2015 03:12:15PM *  0 points [-]

If I understand correctly, in the post you linked Scott is saying that Haitians are functionally innumerate, which should explain the difficulties with numerical sorting.

My point is that the partity function should be learnable even without basic numeracy, although I admit that perhaps I'm overgeneralizing.

Anyway, modern machine learning systems can learn to perform basic arithmentic such as addition and subtraction, and I think even sorting (since they are used for preordering for statstical machine translation), hence the problem doesn't seem to be a lack of arithmetic knowledge or skill.

Note that both addition and subtraction have constant circuit depth (they are in AC0) while parity has logarithmic circuit depth.