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  2. Disjunction introduction - Wikipedia

    en.wikipedia.org/wiki/Disjunction_introduction

    Disjunction introduction or addition (also called or introduction) [1] [2] [3] is a rule of inference of propositional logic and almost every other deduction system. The rule makes it possible to introduce disjunctions to logical proofs. It is the inference that if P is true, then P or Q must be true. An example in English: Socrates is a man.

  3. List of paradoxes - Wikipedia

    en.wikipedia.org/wiki/List_of_paradoxes

    Ross' paradox: Disjunction introduction poses a problem for imperative inference by seemingly permitting arbitrary imperatives to be inferred. Temperature paradox: If the temperature is 90 and the temperature is rising, that would seem to entail that 90 is rising.

  4. Logical connective - Wikipedia

    en.wikipedia.org/wiki/Logical_connective

    Disjunction: the symbol appeared in Russell in 1908 [5] (compare to Peano's use of the set-theoretic notation of union); the symbol + is also used, in spite of the ambiguity coming from the fact that the + of ordinary elementary algebra is an exclusive or when interpreted logically in a two-element ring; punctually in the history a + together ...

  5. Law of excluded middle - Wikipedia

    en.wikipedia.org/wiki/Law_of_excluded_middle

    In logic, the law of excluded middle or the principle of excluded middle states that for every proposition, either this proposition or its negation is true. [1] [2] It is one of the three laws of thought, along with the law of noncontradiction, and the law of identity; however, no system of logic is built on just these laws, and none of these laws provides inference rules, such as modus ponens ...

  6. Conjunctive normal form - Wikipedia

    en.wikipedia.org/wiki/Conjunctive_normal_form

    The k-SAT problem is the problem of finding a satisfying assignment to a Boolean formula expressed in CNF in which each disjunction contains at most k variables. 3-SAT is NP-complete (like any other k -SAT problem with k >2) while 2-SAT is known to have solutions in polynomial time .

  7. Yes–no question - Wikipedia

    en.wikipedia.org/wiki/Yes–no_question

    Possible Answers: “Yes” (agreement, he will not escape) or nogat (disagreement, he will escape) A further ambiguity with yes–no questions, in addition to that of polarity, is the ambiguity of whether an exclusive or inclusive disjunction is meant by the word "or", as it can represent either. Conventionally, in English yes–no questions ...

  8. Conjunction introduction - Wikipedia

    en.wikipedia.org/wiki/Conjunction_introduction

    Conjunction introduction (often abbreviated simply as conjunction and also called and introduction or adjunction) [1] [2] [3] is a valid rule of inference of propositional logic. The rule makes it possible to introduce a conjunction into a logical proof .

  9. Conjunction (grammar) - Wikipedia

    en.wikipedia.org/wiki/Conjunction_(grammar)

    In grammar, a conjunction (abbreviated CONJ or CNJ) is a part of speech that connects words, phrases, or clauses, which are called its conjuncts.That description is vague enough to overlap with those of other parts of speech because what constitutes a "conjunction" must be defined for each language.

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