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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 ...
A statement can be called valid, i.e. logical truth, in some systems of logic like in Modal logic if the statement is true in all interpretations. In Aristotelian logic statements are not valid per se. Validity refers to entire arguments. The same is true in propositional logic (statements can be true or false but not called valid or invalid).
This rendered all facts about human action examinable under a normative framework defined by cardinal virtues and capital vices. "Fact" in this sense was not value-free, and the fact-value distinction was an alien concept. The decline of Aristotelianism in the 16th century set the framework in which those theories of knowledge could be revised. [6]
The statement or phenomenon that is being explained in an explanation. explanans The statement or set of statements that provide the explanation for the phenomenon or statement referred to by the explanandum. explanation The act of clarifying, elucidating, or making something understandable through detailing reasons, causes, or justifications.
In informal logic this is called a counter argument. The form of an argument can be shown by the use of symbols. For each argument form, there is a corresponding statement form, called a corresponding conditional, and an argument form is valid if and only if its corresponding conditional is a logical truth. A statement form which is logically ...
Every argument's conclusion is a premise of other arguments. 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.
Logical consequence (also entailment or implication) is a fundamental concept in logic which describes the relationship between statements that hold true when one statement logically follows from one or more statements.
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] So, in classical logic, the argument is valid, although it may or may not be sound, depending on the meteorological facts in a given context