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<p>to a conclusion based on and supported by these premises. If the reasoning was done correctly, it results in a <a href="page.php?w=Validity_%28logic%29">valid</a> deduction: the truth of the premises ensures the truth of the conclusion. For example, in the <a href="page.php?w=syllogistic">syllogistic</a> argument "all frogs are amphibians; no cats are amphibians; therefore, no cats are frogs" the conclusion is true because its two premises are true. But even arguments with wrong premises can be deductively valid if they obey this principle, as</p><p>
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