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  2. Square of opposition - Wikipedia

    en.wikipedia.org/wiki/Square_of_opposition

    The A proposition, the universal affirmative (universalis affirmativa), whose form in Latin is 'omne S est P ', usually translated as 'every S is a P '. The E proposition, the universal negative (universalis negativa), Latin form 'nullum S est P ', usually translated as 'no S are P '.

  3. Obversion - Wikipedia

    en.wikipedia.org/wiki/Obversion

    The immediately inferred proposition is termed the "obverse" of the original proposition, and is a valid form of inference for all types (A, E, I, O) of categorical propositions. In a universal affirmative and a universal negative proposition the subject term and the predicate term are both replaced by their negated counterparts:

  4. Euler diagram - Wikipedia

    en.wikipedia.org/wiki/Euler_diagram

    In Hamilton's illustration of the four categorical propositions [8] which can occur in a syllogism as symbolized by the drawings A, E, I, and O are: A: The Universal Affirmative Example: "All metals are elements." E: The Universal Negative Example: "No metals are compound substances." I: The Particular Affirmative Example: "Some metals are ...

  5. Categorical proposition - Wikipedia

    en.wikipedia.org/wiki/Categorical_proposition

    The Ancient Greeks such as Aristotle identified four primary distinct types of categorical proposition and gave them standard forms (now often called A, E, I, and O). If, abstractly, the subject category is named S and the predicate category is named P, the four standard forms are: All S are P. (A form) No S are P. (E form) Some S are P. (I form)

  6. Proof of impossibility - Wikipedia

    en.wikipedia.org/wiki/Proof_of_impossibility

    One of the widely used types of impossibility proof is proof by contradiction.In this type of proof, it is shown that if a proposition, such as a solution to a particular class of equations, is assumed to hold, then via deduction two mutually contradictory things can be shown to hold, such as a number being both even and odd or both negative and positive.

  7. Glossary of logic - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_logic

    A type of standard-form categorical proposition, asserting that all members of the subject category are included in the predicate category; symbolized as "All S are P". [1] [2] abduction 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.

  8. Why you have COVID symptoms and a negative test: You ... - AOL

    www.aol.com/finance/why-covid-symptoms-negative...

    If you still test negative, wait 48 more hours and test for a final time. In both cases, if you’d rather not wait, you can obtain a PCR, or polymerase chain reaction, test at a doctor’s office.

  9. Negative conclusion from affirmative premises - Wikipedia

    en.wikipedia.org/wiki/Negative_conclusion_from...

    e: No A is B. (negative) i: Some A is B. (affirmative) o: Some A is not B. (negative) The rule states that a syllogism in which both premises are of form a or i (affirmative) cannot reach a conclusion of form e or o (negative). Exactly one of the premises must be negative to construct a valid syllogism with a negative conclusion.