Can a Deductive Argument Have a False Conclusion?

Sarah Jenkins
Sarah Jenkins
• • 6 min read

A Valid Deductive Argument Can Have All False Premises False Premises a False Premise Is an Incorrect Proposition That Forms the Basis of an Argument or...

Can a Deductive Argument Have a False Conclusion?

A valid deductive argument can have all false premises

false premises
A false premise is an incorrect proposition that forms the basis of an argument or syllogism. Since the premise (proposition, or assumption) is not correct, the conclusion drawn may be in error. ... For example, consider this syllogism, which involves a false premise: If the streets are wet, it has rained recently.
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and a false conclusion.

Can a valid deductive argument have a false conclusion?

By definition, a valid argument cannot have a false conclusion and all true premises. So if a valid argument has a false conclusion it must have some false premise.

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Is deductive conclusion always true?

With deductive reasoning, the conclusion is necessarily true if the premises are true. With inductive reasoning, the conclusion might be true, and it has some support, but it may nonetheless be false.

Sarah Jenkins

Sarah Jenkins

Senior Technology Editor & AI Specialist
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Sarah Jenkins is a veteran tech journalist with over 12 years of experience covering artificial intelligence, mobile innovations, and digital ethics. Her insights have appeared in leading technology publications worldwide.