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.
2+2 = not what you think
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Notes -
In general? Yes. In this example? Absolutely the speaker's fault. If you're using non-standard symbols, you need to denote that.
You are assuming I'm the one who brought up the
2+2=4
factoid.If the speaker who brought up 2+2=4 is using standard symbols, he's unambiguously correct, so that can't be what we're talking about.
If the speaker claimed that
2+2=4
is unequivocally true, he/she is wrong.Absolutely not. The speaker knows what the statement means, what the symbols mean, in what structure we're operating. The rest is just basic arithmetic over the natural numbers.
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