Definition Deductive reasoning is the psychological process of drawing deductive inferences. An inference is a set of premises together with a conclusion. This psychological process starts from the premises and reasons to a conclusion based on and supported by these premises. If the reasoning was done correctly, it results in a valid deduction: the truth of the premises ensures the truth of the conclusion. For example, in the syllogistic 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 in "all frogs are mammals; no cats are mammals; therefore, no cats are frogs". If the premises of a valid argument are true, then it is called a sound argument.
Definition Deductive reasoning is the psychological process of drawing deductive inferences An inference is a set of premises together with a conclusion This psychological process starts from the premises and reasons to a conclusion based on and supported by these premises If the reasoning was done correctly it results in a valid deduction the truth of the premises ensures the truth of the conclusion For example in the syllogistic 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 in "all frogs are mammals; no cats are mammals; therefore no cats are frogs" If the premises of a valid argument are true then it is called a sound argument