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I think even something so simple as counting leaves a lot of room for interpretation. For example, to pile sticks in a pile and then count them you've learned to assume the sticks are going to be the same whether or not they are in the pile. If we lived in a universe where the sticks changed when you put them in the pile versus when you didn't put them in the pile, counting as we know it might not be as obvious.
And that is the trick... figuring out what the limitations are that you assumed were true and then finding out why contrary to popular opinion the assumptions may not hold the water you think they do.
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