It's well-known that it shouldn't actually be that shocking to occasionally encounter seemingly shocking coincidences: the time your friend calls you just as you were about to call them might seem like compelling evidence for psychic powers, but only because you don't remember all the other occasions when an equally improbable coincidence could have happened, but didn't. We tend to see patterns even where none exist, and neglect that million-to-one events happen seven times a day in New York.

I expect this problem to actually get worse as you learn more: if you know n concepts, the number of possible connections between them is O(n2); if your ability to notice patterns grows faster than your sense of what patterns constitute a coincidence worth noticing, then you should expect to encounter more and more shocking coincidences over time.

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