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  2. Disjunctive syllogism - Wikipedia

    en.wikipedia.org/wiki/Disjunctive_syllogism

    The name "disjunctive syllogism" derives from its being a syllogism, a three-step argument, and the use of a logical disjunction (any "or" statement.) For example, "P or Q" is a disjunction, where P and Q are called the statement's disjuncts. The rule makes it possible to eliminate a disjunction from a logical proof. It is the rule that

  3. Disjunctive normal form - Wikipedia

    en.wikipedia.org/wiki/Disjunctive_normal_form

    A logical formula is considered to be in DNF if it is a disjunction of one or more conjunctions of one or more literals. [2] [3] [4] A DNF formula is in full disjunctive normal form if each of its variables appears exactly once in every conjunction and each conjunction appears at most once (up to the order of variables).

  4. Conjunctive normal form - Wikipedia

    en.wikipedia.org/wiki/Conjunctive_normal_form

    In Boolean logic, a formula is in conjunctive normal form (CNF) or clausal normal form if it is a conjunction of one or more clauses, where a clause is a disjunction of literals; otherwise put, it is a product of sums or an AND of ORs.

  5. Logical conjunction - Wikipedia

    en.wikipedia.org/wiki/Logical_conjunction

    The conjunctive identity is true, which is to say that AND-ing an expression with true will never change the value of the expression. In keeping with the concept of vacuous truth , when conjunction is defined as an operator or function of arbitrary arity , the empty conjunction (AND-ing over an empty set of operands) is often defined as having ...

  6. Conjunction/disjunction duality - Wikipedia

    en.wikipedia.org/wiki/Conjunction/disjunction...

    [8] [9] This provides a procedure for converting between conjunctive normal form and disjunctive normal form. [10] Since the Disjunctive Normal Form Theorem shows that every formula of propositional logic is expressible in disjunctive normal form, every formula is also expressible in conjunctive normal form by means of effecting the conversion ...

  7. Logical disjunction - Wikipedia

    en.wikipedia.org/wiki/Logical_disjunction

    Other languages express disjunctive meanings in a variety of ways, though it is unknown whether disjunction itself is a linguistic universal. In many languages such as Dyirbal and Maricopa, disjunction is marked using a verb suffix. For instance, in the Maricopa example below, disjunction is marked by the suffix šaa. [1]

  8. Glossary of logic - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_logic

    In logic, a standardized way of expressing logical formulas, such as conjunctive normal form (CNF) or disjunctive normal form (DNF), to facilitate analysis or computation. normal modal logic A class of modal logics that include the necessitation rule and the distribution axiom, allowing for the derivation of necessary truths from given axioms ...

  9. Complex question - Wikipedia

    en.wikipedia.org/wiki/Complex_question

    When a presupposition includes an admission of wrongdoing, it is called a "loaded question" and is a form of entrapment in legal trials or debates. The presupposition is called "complex" if it is a conjunctive proposition, a disjunctive proposition, or a conditional proposition.

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