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A premise or premiss [a] is a proposition—a true or false declarative statement—used in an argument to prove the truth of another proposition called the conclusion. [1] Arguments consist of a set of premises and a conclusion. An argument is meaningful for its conclusion only when all of its premises are true. If one or more premises are ...
The following is an example of an argument within the scope of propositional logic: Premise 1: If it's raining, then it's cloudy. Premise 2: It's raining. Conclusion: It's cloudy. The logical form of this argument is known as modus ponens, [39] which is a classically valid form. [40]
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.
A definition that provides a means for replacing each occurrence of the definiendum with an appropriate instance of the definiens. [131] [132] Contrast implicit definition. explosion The principle in logic that from a contradiction, any statement can be proven, related to the principle of ex falso quodlibet. exportation
A valid logical argument is one in which the conclusion is entailed by the premises, because the conclusion is the consequence of the premises. The philosophical analysis of logical consequence involves the questions: In what sense does a conclusion follow from its premises? and What does it mean for a conclusion to be a consequence of premises ...
Logic studies valid forms of inference like modus ponens. Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure of arguments alone, independent of their topic and ...
Identify which statements are premises, sub-conclusions, and the main conclusion. Provide missing, implied conclusions and implied premises. (This is optional depending on the purpose of the argument map.) Put the statements into boxes and draw a line between any boxes that are linked. Indicate support from premise(s) to (sub)conclusion with ...
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.