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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. 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 ...

  4. Argument - Wikipedia

    en.wikipedia.org/wiki/Argument

    Given premises that A=B and B=C, then the conclusion follows necessarily that A=C. Deductive arguments are sometimes referred to as "truth-preserving" arguments. For example, consider the argument that because bats can fly (premise=true), and all flying creatures are birds (premise=false), therefore bats are birds (conclusion=false).

  5. Glossary of logic - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_logic

    A proposition that asserts the truth of a statement, as opposed to negating it. [7] [8] [9] affirming the consequent A logical fallacy in which a conditional statement is incorrectly used to infer its converse. For example, from "If P then Q" and "Q", concluding "P". alethic modal logic

  6. 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.

  7. Inference - Wikipedia

    en.wikipedia.org/wiki/Inference

    To show that this form is invalid, we demonstrate how it can lead from true premises to a false conclusion. All apples are fruit. (True) All bananas are fruit. (True) Therefore, all bananas are apples. (False) A valid argument with a false premise may lead to a false conclusion, (this and the following examples do not follow the Greek syllogism):

  8. Argumentation scheme - Wikipedia

    en.wikipedia.org/wiki/Argumentation_scheme

    The study of this ancient subject is mostly carried out today in the field of study called argumentation theory under the name of argumentation schemes. [ 1 ] [ 11 ] An example of an argumentation scheme is the scheme for argument from position to know given below.

  9. 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 ...