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Not to be confused with Grammatical conjugation or Conjunctive mood. 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 ...
Conjunctive adverb. A conjunctive adverb, adverbial conjunction, or subordinating adverb is an adverb that connects two clauses by converting the clause it introduces into an adverbial modifier of the verb in the main clause. For example, in "I told him; thus, he knows" and "I told him. Thus, he knows", thus is a conjunctive adverb.
Rules of inference are syntactical transform rules which one can use to infer a conclusion from a premise to create an argument. A set of rules can be used to infer any valid conclusion if it is complete, while never inferring an invalid conclusion, if it is sound. A sound and complete set of rules need not include every rule in the following ...
One valid argument form is known as modus ponens, not to be mistaken with modus tollens, which is another valid argument form that has a like-sounding name and structure. Modus ponens (sometimes abbreviated as MP) says that if one thing is true, then another will be. It then states that the first is true. The conclusion is that the second thing ...
These symbols are called logical connectives, logical operators, propositional operators, or, in classical logic, truth-functionalconnectives. For the rules which allow new well-formed formulas to be constructed by joining other well-formed formulas using truth-functional connectives, see well-formed formula. Logical connectives can be used to ...
propositional logic, Boolean algebra, first-order logic. ⊥ {\displaystyle \bot } denotes a proposition that is always false. The symbol ⊥ may also refer to perpendicular lines. The proposition. ⊥ ∧ P {\displaystyle \bot \wedge P} is always false since at least one of the two is unconditionally false. ∀.
A conjunct is one of the terms that are conjoined in a conjoining construction. Conjuncts are conjoined by means of a conjunction, which can be coordinating, subordinating or correlative. Conjuncts can be words, phrases, clauses, or full sentences. [ Gretchen and her daughter] bought [ motor oil, spark plugs, and dynamite ].
Existential generalization / instantiation. In propositional logic, conjunction elimination (also called and elimination, ∧ elimination, [1] or simplification) [2] [3] [4] is a valid immediate inference, argument form and rule of inference which makes the inference that, if the conjunction A and B is true, then A is true, and B is true.