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  2. 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.

  3. 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.

  4. Glossary of logic - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_logic

    The premise in a syllogism that includes the minor term, which is the subject of the conclusion. minor term The term that appears as the subject in the conclusion of a syllogism. modal actualism The philosophical position that only actual, existing objects are possible, denying the existence of merely possible objects. modal agnosticism

  5. Term logic - Wikipedia

    en.wikipedia.org/wiki/Term_logic

    The word "propositio" is from the Latin, meaning the first premise of a syllogism. Aristotle uses the word premise (protasis) as a sentence affirming or denying one thing or another (Posterior Analytics 1. 1 24a 16), so a premise is also a form of words. However, as in modern philosophical logic, it means that which is asserted by the sentence.

  6. Logic - Wikipedia

    en.wikipedia.org/wiki/Logic

    The word "logic" originates from the Greek word logos, which has a variety of translations, such as reason, discourse, or language. [4] Logic is traditionally defined as the study of the laws of thought or correct reasoning, [5] and is usually understood in terms of inferences or arguments. Reasoning is the activity of drawing inferences.

  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. Fallacy of four terms - Wikipedia

    en.wikipedia.org/wiki/Fallacy_of_four_terms

    In everyday reasoning, the fallacy of four terms occurs most frequently by equivocation: using the same word or phrase but with a different meaning each time, creating a fourth term even though only three distinct words are used. The resulting argument sounds like the (valid) first example above, but is in fact structured like the invalid ...

  9. Enthymeme - Wikipedia

    en.wikipedia.org/wiki/Enthymeme

    The first type of enthymeme is a truncated syllogism, or a syllogism with an unstated premise. [6] Here is an example of an enthymeme derived from a syllogism through truncation (shortening) of the syllogism: "Socrates is mortal because he's human." The complete formal syllogism would be the classic: All humans are mortal. (major premise ...