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  2. Logical conjunction - Wikipedia

    en.wikipedia.org/wiki/Logical_conjunction

    Here is an example of an argument that fits the form conjunction introduction: Bob likes apples. Bob likes oranges. Therefore, Bob likes apples and Bob likes oranges. Conjunction elimination is another classically valid, simple argument form. Intuitively, it permits the inference from any conjunction of either element of that conjunction.

  3. List of rules of inference - Wikipedia

    en.wikipedia.org/wiki/List_of_rules_of_inference

    Each logic operator can be used in an assertion about variables and operations, showing a basic rule of inference. Examples: The column-14 operator (OR), shows Addition rule: when p=T (the hypothesis selects the first two lines of the table), we see (at column-14) that p∨q=T.

  4. 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 .

  5. Consensus theorem - Wikipedia

    en.wikipedia.org/wiki/Consensus_theorem

    It is the conjunction of all the unique literals of the terms, excluding the literal that appears unnegated in one term and negated in the other. If y {\displaystyle y} includes a term that is negated in z {\displaystyle z} (or vice versa), the consensus term y z {\displaystyle yz} is false; in other words, there is no consensus term.

  6. Conjunction (grammar) - Wikipedia

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

    For example, after is a preposition in "he left after the fight" but a conjunction in "he left after they fought". In general, a conjunction is an invariant (non-inflecting) grammatical particle that stands between conjuncts. A conjunction may be placed at the beginning of a sentence, [1] but some superstition about the practice persists. [2]

  7. Clause (logic) - Wikipedia

    en.wikipedia.org/wiki/Clause_(logic)

    In logic, a clause is a propositional formula formed from a finite collection of literals (atoms or their negations) and logical connectives.A clause is true either whenever at least one of the literals that form it is true (a disjunctive clause, the most common use of the term), or when all of the literals that form it are true (a conjunctive clause, a less common use of the term).

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