An invalid argument can have true premises and a true conclusion
Is it true that an invalid argument can have true premises and a true conclusion?
By definition in formal logic, validity only guarantees that if the premises are true, the conclusion must be true; however, invalid arguments can independently feature any combination of truth values for their premises and conclusions, making this a basic conceptual truism requiring no citation.
Verdict: COMMON KNOWLEDGE · 0 sources for, 0 against · Last checked
The claim states a fundamental definition from introductory logic: an invalid argument has no structural guarantee of truth preservation, meaning its premises and conclusion can take any combination of truth values (including true premises and a true conclusion). This is a matter of basic definition rather than empirical investigation, making it common knowledge in logic, so no paper citation is needed or applicable.
What does the evidence say?
The claim states a fundamental definition from introductory logic: an invalid argument has no structural guarantee of truth preservation, meaning its premises and conclusion can take any combination of truth values (including true premises and a true conclusion). This is a matter of basic definition rather than empirical investigation, making it common knowledge in logic, so no paper citation is needed or applicable.
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