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  2. Premise - Wikipedia

    en.wikipedia.org/wiki/Premise

    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 ...

  3. Syllogism - Wikipedia

    en.wikipedia.org/wiki/Syllogism

    Each of the premises has one term in common with the conclusion: in a major premise, this is the major term (i.e., the predicate of the conclusion); in a minor premise, this is the minor term (i.e., the subject of the conclusion). For example: Major premise: All humans are mortal. Minor premise: All Greeks are humans.

  4. Premises - Wikipedia

    en.wikipedia.org/wiki/Premises

    Premises are land and buildings together considered as a property. This usage arose from property owners finding the word in their title deeds , where it originally correctly meant "the aforementioned; what this document is about", from Latin prae-missus = "placed before".

  5. Legal syllogism - Wikipedia

    en.wikipedia.org/wiki/Legal_syllogism

    Legal syllogism is a legal concept concerning the law and its application, specifically a form of argument based on deductive reasoning and seeking to establish whether a specified act is lawful. [1] A syllogism is a form of logical reasoning that hinges on a question, a major premise, a minor premise and a conclusion.

  6. Rule of inference - Wikipedia

    en.wikipedia.org/wiki/Rule_of_inference

    For example, the rule of inference called modus ponens takes two premises, one in the form "If p then q" and another in the form "p", and returns the conclusion "q". The rule is valid with respect to the semantics of classical logic (as well as the semantics of many other non-classical logics ), in the sense that if the premises are true (under ...

  7. Logical consequence - Wikipedia

    en.wikipedia.org/wiki/Logical_consequence

    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 ...

  8. Logic - Wikipedia

    en.wikipedia.org/wiki/Logic

    Logic studies arguments, which consist of a set of premises that leads to a conclusion. An example is the argument from the premises "it's Sunday" and "if it's Sunday then I don't have to work" leading to the conclusion "I don't have to work". [1] Premises and conclusions express propositions or claims that can be true or false. An important ...

  9. Propositional calculus - Wikipedia

    en.wikipedia.org/wiki/Propositional_calculus

    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.