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Lumifer comments on Biases of Intuitive and Logical Thinkers - Less Wrong
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I think your example is bad. It's the first commenter who is confused, not the second one.
The correct formulation is "If, for any small positive number (epsilon), I can show that the difference between A and B is less than epsilon, then I have shown A and B are equal."
The first commenter screwed things up by saying "If, for any small positive number you give me (epsilon), I can show that the difference between A and B is less than epsilon, then I have shown A and B are equal." The second commenter's objection is valid.
Agreed. I should take it out.