An unsound argument can have true premises and a true conclusion
Is it true that an unsound argument can have true premises and a true conclusion?
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).
Verdict: COMMON KNOWLEDGE · 0 sources for, 0 against · Last checked
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.
What does the evidence say?
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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