Paradox of entailment

The paradox of entailment is an apparent paradox derived from the observation that, in classical logic, inconsistent premises always make an argument valid; that is, inconsistent premises imply any conclusion at all. This seems paradoxical, as it suggests that the following is a good argument:

Related Topics:
Paradox - Classical logic

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• 2+2=4
• 2+2=5

therefore

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• Elvis is the pope.

But that surely seems to be a bad argument.

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Paradox of entailment: Valid arguments ►