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  2. Syllogism - Wikipedia

    en.wikipedia.org/wiki/Syllogism

    The premises also have one term in common with each other, which is known as the middle term; in this example, humans. Both of the premises are universal, as is the conclusion. Major premise: All mortals die. Minor premise: All men are mortals. Conclusion/Consequent: All men die.

  3. Argument–deduction–proof distinctions - Wikipedia

    en.wikipedia.org/wiki/Argument–deduction...

    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.

  4. 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 ...

  5. List of valid argument forms - Wikipedia

    en.wikipedia.org/wiki/List_of_valid_argument_forms

    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 ...

  6. Glossary of logic - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_logic

    A form of reasoning characterized by drawing a conclusion based on the best available explanation for a set of premises. Often used in hypothesis formation. Abelian logic A type of relevance logic that rejects contraction and accepts that ((A → B) → B) → A. [3] [4] [5] absorption

  7. Deductive reasoning - Wikipedia

    en.wikipedia.org/wiki/Deductive_reasoning

    A rule of inference is a way or schema of drawing a conclusion from a set of premises. [17] This happens usually based only on the logical form of the premises. A rule of inference is valid if, when applied to true premises, the conclusion cannot be false. A particular argument is valid if it follows a valid rule of inference.

  8. Argument map - Wikipedia

    en.wikipedia.org/wiki/Argument_map

    Identify which statements are premises, sub-conclusions, and the main conclusion. Provide missing, implied conclusions and implied premises. (This is optional depending on the purpose of the argument map.) Put the statements into boxes and draw a line between any boxes that are linked. Indicate support from premise(s) to (sub)conclusion with ...

  9. Argumentation scheme - Wikipedia

    en.wikipedia.org/wiki/Argumentation_scheme

    The premises are the grounds given by the speaker or writer for the hearer or reader to accept the conclusion as true or as provisionally true (regarded as true for now). An argumentation scheme's definition is not itself an argument, but represents the structure of an argument of a certain type.