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Re: Exactly what can be deduced from first principals?
With regard to your thoughts on traditional logic vs. squirrel logic: Is it possible that, instead of assuming that the actions of an adult squirrel or the fluid motions of a talented basketball player are a different sort of logic, they are the result of repetitive traditional logic - as demonstrated by traditional structured programming's transition to object oriented methods? As a child learns mathematics, they go through the proofs of repetitive addition, just as an athlete would learn to simultaneously dribble the ball and run. As the child grows, the use of multiplication proves itself to be more efficient than repetitive addition, and problems that used to involve 13 individual addition computations may now involve 3 - repetitive computations are now viewed as blocks, just like the actions of moving down a basketball court.
Perhaps it's not that the traditional logic is not done anymore, it's that the computations are already proven and now being treated as grouped objects.
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Needles in haystacks are less of a problem if you have an electromagnet the size of a Volvo.
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