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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 ...
In this form, you start with the same first premise as with modus ponens. However, the second part of the premise is denied, leading to the conclusion that the first part of the premise should be denied as well. It is shown below in logical form. If A, then B Not B Therefore not A. [3] When modus tollens is used with actual content, it looks ...
An argument where the conclusion necessarily follows from the premises, intended to provide conclusive proof of the conclusion. deductive consequence See syntactic consequence. [81] deductive validity 1. The property of a deductive argument where, if the premises are true, the conclusion must also be true. [82] 2.
Though the above paragraph contains a common conclusion indicator word ("thus"), it nevertheless is merely illustrating a fact of taxonomy. However, this could be made into an argument. Taxonomists use Latin words to classify various animals so that scientists who speak different languages can communicate discoveries more easily.
A deductive argument asserts that the truth of the conclusion is a logical consequence of the premises: if the premises are true, the conclusion must be true. It would be self-contradictory to assert the premises and deny the conclusion because the negation of the conclusion is contradictory to the truth of the premises.
The word constituent may be used for either a premise or conclusion. In the context of this article and in most classical contexts, all candidates for consideration as argument constituents fall under the category of truth-bearer : propositions, statements, sentences, judgments, etc.
Donald Trump mocked Canadian Prime Minister Justin Trudeau after his top minister’s surprise resignation following a clash on how to handle the president-elect’s looming tariffs.
From the semantic point of view, a premise entails a conclusion if the conclusion is true whenever the premise is true. [102] A system of logic is sound when its proof system cannot derive a conclusion from a set of premises unless it is semantically entailed by them. In other words, its proof system cannot lead to false conclusions, as defined ...