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2+2 = not what you think

felipec.substack.com

Changing someone's mind is very difficult, that's why I like puzzles most people get wrong: to try to open their mind. Challenging the claim that 2+2 is unequivocally 4 is one of my favorites to get people to reconsider what they think is true with 100% certainty.

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Second part is right, yes.

OK. But then I do get it: 2+2 = 0 (mod 4).

Yes, without any other context 2+2 is assumed to be 4, but 2+2 (mod 4) is a different thing, because 2 and 2 (mod 4) are different (the latter is actually {..,-6,-2,2,6,...}). Correct?

I have updated the article to be more correct.