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  2. Syllogism - Wikipedia

    en.wikipedia.org/wiki/Syllogism

    Aristotle's Assertoric Syllogistic (Formal proof development in Isabelle/HOL, Archive of Formal Proofs) Lagerlund, Henrik. "Medieval Theories of the Syllogism". In Zalta, Edward N. (ed.). Stanford Encyclopedia of Philosophy. Aristotle's Prior Analytics: the Theory of Categorical Syllogism an annotated bibliography on Aristotle's syllogistic

  3. Term logic - Wikipedia

    en.wikipedia.org/wiki/Term_logic

    In logic and formal semantics, term logic, also known as traditional logic, syllogistic logic or Aristotelian logic, is a loose name for an approach to formal logic that began with Aristotle and was developed further in ancient history mostly by his followers, the Peripatetics. It was revived after the third century CE by Porphyry's Isagoge.

  4. 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.

  5. Fallacy of four terms - Wikipedia

    en.wikipedia.org/wiki/Fallacy_of_four_terms

    The fallacy of four terms is a syllogistic fallacy. Types of syllogism to which it applies include statistical syllogism, hypothetical syllogism, and categorical syllogism, all of which must have exactly three terms. Because it applies to the argument's form, as opposed to the argument's content, it is classified as a formal fallacy.

  6. 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 ...

  7. List of fallacies - Wikipedia

    en.wikipedia.org/wiki/List_of_fallacies

    Syllogistic fallacies – logical fallacies that occur in syllogisms. Affirmative conclusion from a negative premise (illicit negative) – a categorical syllogism has a positive conclusion, but at least one negative premise. [11] Fallacy of exclusive premises – a categorical syllogism that is invalid because both of its premises are negative ...

  8. Logic - Wikipedia

    en.wikipedia.org/wiki/Logic

    The syllogistic logic developed by Aristotle predominated in the West until the mid-19th century, when interest in the foundations of mathematics stimulated the development of modern symbolic logic. [202] Many see Gottlob Frege's Begriffsschrift as the birthplace of modern logic.

  9. Fallacy of the undistributed middle - Wikipedia

    en.wikipedia.org/wiki/Fallacy_of_the...

    In classical syllogisms, all statements consist of two terms and are in the form of "A" (all), "E" (none), "I" (some), or "O" (some not). The first term is distributed in A statements; the second is distributed in O statements; both are distributed in "E" statements, and none are distributed in I statements.