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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

    Illicit treatment of the minor term: Same as above, but for the minor term (S – meaning the proposition is universal) and minor premise (where S is either a particular subject or an affirmative predicate). Exclusive premises: Both premises are negative, meaning no link is established between the major and minor terms.

  4. Logical reasoning - Wikipedia

    en.wikipedia.org/wiki/Logical_reasoning

    Premises and conclusions are normally seen as propositions. A proposition is a statement that makes a claim about what is the case. In this regard, propositions act as truth-bearers: they are either true or false. [18] [19] [3] For example, the sentence "The water is boiling." expresses a proposition since it can be true or false.

  5. 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 ...

  6. Term logic - Wikipedia

    en.wikipedia.org/wiki/Term_logic

    The word "propositio" is from the Latin, meaning the first premise of a syllogism. Aristotle uses the word premise (protasis) as a sentence affirming or denying one thing or another (Posterior Analytics 1. 1 24a 16), so a premise is also a form of words. However, as in modern philosophical logic, it means that which is asserted by the sentence.

  7. Proposition - Wikipedia

    en.wikipedia.org/wiki/Proposition

    A proposition is a central concept in the philosophy of language, semantics, logic, and related fields, often characterized as the primary bearer of truth or falsity. Propositions are also often characterized as the type of object that declarative sentences denote. For instance, the sentence "The sky is blue" denotes the proposition that the ...

  8. Glossary of logic - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_logic

    A proposition that asserts or denies that all or some of the members of one category are included in another category, fundamental in syllogistic reasoning. categorical syllogism A form of deductive reasoning in Aristotelian logic consisting of three categorical propositions that involve three terms and deduce a conclusion from two premises ...

  9. Argument - Wikipedia

    en.wikipedia.org/wiki/Argument

    Valid argument; the premises entail the conclusion. (This does not mean the conclusion has to be true; it is only true if the premises are true, which they may not be!) Some men are hawkers. Some hawkers are rich. Therefore, some men are rich. Invalid argument. This can be more easily seen by giving a counter-example with the same argument form: