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the claim
An argument can be logically valid even if its premise refutes its conclusion.
the verdict
COMMON KNOWLEDGE
no citation needed for this one
refutedsupported
the weight of evidence
no sources on either side

This is a fundamental principle of classical logic (specifically, the principle of explosion or ex falso quodlibet, which dictates that any conclusion follows from a contradictory set of premises), making citation unnecessary.

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The analysis

The claim addresses a well-established property of formal deductive logic where a contradictory (unsatisfiable) premise set entails every proposition, rendering the argument vacuously valid. This is a matter of formal logic definitions taught in introductory philosophy and mathematics, classifying it as common knowledge within the domain.

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first checked04 Aug 2026
judged → COMMON KNOWLEDGE · 9504 Aug 2026
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