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However, if he did say "pi is exactly 3.14," then of course it will work out, because he didn't specifically mention the ratio of the circle's circumference to diameter. Pi is only a letter, and doesn't have explicit meaning.
But if, in the future, Joe got a little reckless and denied his own ability, then he wouldn't be in this situation in the first place, and so we wouldn't have this situation. Only a musing.
