I did not learn math (beyond trivial school level) as a child, because I was not smart enough to figure out why it was supposed to be interesting (and not knowing anyone who was into more than pretend play about this). It seems the path to the core of the architecture of our mind
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To say the mind 'must' work in a certain way implies a proper definition of what mind is, or at least consistently does ... We have to take into consideration, like mathematics, that 'mind' is abstraction itself. Best we can hope for is to construct possible minds.
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I see the whole endeavor of AI as a synthetic science, like simons artificial science. It's in the business of studying its own design rather than the thing itself. 'Mind' an abstract concept cannot be found anywhere but can be constructed and those constructions studied.
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