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Sentences are then built up out of atomic sentences by applying connectives and quantifiers. A set of sentences is called a theory; thus, individual sentences may be called theorems. To properly evaluate the truth (or falsehood) of a sentence, one must make reference to an interpretation of the theory.
Hasse diagram of logical connectives. In logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is a logical constant. Connectives can be used to connect logical formulas.
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]
[2] Example. In a given propositional logic, a formula can be defined as follows: Every propositional variable is a formula. Given a formula X, the negation ¬X is a formula. Given two formulas X and Y, and a binary connective b (such as the logical conjunction ∧), the expression (X b Y) is a formula. (Note the parentheses.)
Venn diagram of . In logic, mathematics and linguistics, and is the truth-functional operator of conjunction or logical conjunction.The logical connective of this operator is typically represented as [1] or & or (prefix) or or [2] in which is the most modern and widely used.
The declarative sentence is the most common kind of sentence, and can be considered the default form: when a language forms a question or a command, it will be a modification of the declarative. A declarative states an idea (either objectively or subjectively on the part of the speaker; and may be either true or false) for the purpose of ...
The subject complement is bold in the following examples: The lake was a tranquil pool. – Predicative nominal; Here, was is a copula (a concomitant form of be) that links the subject complement a tranquil pool (which has the head noun pool), to the subject the lake (which has the head noun lake). The lake is tranquil. – Predicative adjective
Where grammaticalization takes place, nouns and verbs which carry certain lexical meaning develop over time into grammatical items such as auxiliaries, case markers, inflections, and sentence connectives. A well-known example of grammaticalization is that of the process in which the lexical cluster let us, for example in "let us eat", is ...