Lee_B comments on How to Convince Me That 2 + 2 = 3 - Less Wrong
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Let me take another crack at this...
I do not believe any situation could ever convince Eliezer that 2+2=3.
If he proclaims "two and two makes three," then he must be talking about something other than the integers. You cannot be mistaken about the integers, you can only misunderstand them. It's like saying "some women are bachelors." You are not mistaken about the world, you've merely lost your grasp of the terminology.