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the claim
An unsound argument can have true premises and a true conclusion
the verdict
COMMON KNOWLEDGE
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refutedsupported
the weight of evidence
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By definition in formal logic, an unsound argument can have true premises and a true conclusion (since soundness requires validity, whereas truth values of premises and conclusions can vary independently as long as validity fails).

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The analysis

The claim states a basic definition in propositional and deductive logic: an unsound argument is simply one that is either invalid or has at least one false premise (or both). Therefore, an invalid argument can easily happen to have all true premises and a true conclusion. This is a foundational, axiomatic fact of logic taught in introductory courses, making it common knowledge requiring no citation.

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