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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. Validity (logic) - Wikipedia

    en.wikipedia.org/wiki/Validity_(logic)

    In logic, an argument is a set of related statements expressing the premises (which may consists of non-empirical evidence, empirical evidence or may contain some axiomatic truths) and a necessary conclusion based on the relationship of the premises. An argument is valid if and only if it would be contradictory for the conclusion to be false if ...

  4. Syllogism - Wikipedia

    en.wikipedia.org/wiki/Syllogism

    A polysyllogism, or a sorites, is a form of argument in which a series of incomplete syllogisms is so arranged that the predicate of each premise forms the subject of the next until the subject of the first is joined with the predicate of the last in the conclusion. For example, one might argue that all lions are big cats, all big cats are ...

  5. Argument - Wikipedia

    en.wikipedia.org/wiki/Argument

    An argument by analogy may use a particular truth in a premise to argue towards a similar particular truth in the conclusion. For example, if A. Plato was mortal, and B. Socrates was like Plato in other respects, then asserting that C. Socrates was mortal is an example of argument by analogy because the reasoning employed in it proceeds from a ...

  6. Deductive reasoning - Wikipedia

    en.wikipedia.org/wiki/Deductive_reasoning

    An example of ampliative reasoning is the inference from the premise "every raven in a random sample of 3200 ravens is black" to the conclusion "all ravens are black": the extensive random sample makes the conclusion very likely, but it does not exclude that there are rare exceptions. [35]

  7. Argumentation scheme - Wikipedia

    en.wikipedia.org/wiki/Argumentation_scheme

    In other schemes, as in the example of the versions of argument from expert opinion in Groarke, Tindale & Little (2013), only good arguments fit the scheme because the criteria for goodness are included as premises, [32] so if any one of the premises is false, the conclusion should not be accepted.

  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. List of valid argument forms - Wikipedia

    en.wikipedia.org/wiki/List_of_valid_argument_forms

    Another form of argument is known as modus tollens (commonly abbreviated MT). 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