alt Hacker NewsNo, in logic that is a vacuous truth. All my hats is true for zero hats. But that would not be a lie. And since the liar always lies, that can not be case.
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nailer • 12/09/2024
Do you think regular people, when communicating, use academic logic? Or do you think the liar is an academic?
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For me, this is one of those types of examples that illustrates the problem with logics allowing vacuous truth.
It amounts to an assumption of an implied conditional ("If I have hats...") which is not always warranted. The "gotcha" here says more about the vacuous truth assumption than it does someone who falls for it.