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  2. File:Syllogism diagrams.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Syllogism_diagrams.pdf

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  3. Hypothetical syllogism - Wikipedia

    en.wikipedia.org/wiki/Hypothetical_syllogism

    An invalid hypothetical syllogism either affirms the consequent (fallacy of the converse) or denies the antecedent (fallacy of the inverse). A pure hypothetical syllogism is a syllogism in which both premises and the conclusion are all conditional statements. The antecedent of one premise must match the consequent of the other for the ...

  4. Prior Analytics - Wikipedia

    en.wikipedia.org/wiki/Prior_Analytics

    At present, syllogism is used exclusively as the method used to reach a conclusion closely resembling the "syllogisms" of traditional logic texts: two premises followed by a conclusion each of which is a categorical sentence containing all together three terms, two extremes which appear in the conclusion and one middle term which appears in ...

  5. Statistical syllogism - Wikipedia

    en.wikipedia.org/wiki/Statistical_syllogism

    The statistical syllogism was used by Donald Cary Williams and David Stove in their attempt to give a logical solution to the problem of induction. They put forward the argument, which has the form of a statistical syllogism: The great majority of large samples of a population approximately match the population (in proportion)

  6. Syllogism - Wikipedia

    en.wikipedia.org/wiki/Syllogism

    A syllogism (Ancient Greek: συλλογισμός, syllogismos, 'conclusion, inference') is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two propositions that are asserted or assumed to be true.

  7. List of valid argument forms - Wikipedia

    en.wikipedia.org/wiki/List_of_valid_argument_forms

    In syllogistic logic, there are 256 possible ways to construct categorical syllogisms using the A, E, I, and O statement forms in the square of opposition. Of the 256, only 24 are valid forms. Of the 24 valid forms, 15 are unconditionally valid, and 9 are conditionally valid.

  8. Denying the antecedent - Wikipedia

    en.wikipedia.org/wiki/Denying_the_antecedent

    It is a type of mixed hypothetical syllogism that takes on the following form: [1] If P, then Q. Not P. Therefore, not Q. which may also be phrased as (P implies Q) (therefore, not-P implies not-Q) [1] Arguments of this form are invalid. Informally, this means that arguments of this form do not give good reason to establish their conclusions ...

  9. Past paper - Wikipedia

    en.wikipedia.org/wiki/Past_paper

    A past paper is an examination paper from a previous year or previous years, usually used either for exam practice or for tests such as University of Oxford, [1] [2] University of Cambridge [3] College Collections. Exam candidates find past papers valuable in test preparation.