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2. Sentence (mathematical logic) - Wikipedia

   en.wikipedia.org/wiki/Sentence_(mathematical_logic)

   A sentence can be viewed as expressing a proposition, something that must be true or false. The restriction of having no free variables is needed to make sure that sentences can have concrete, fixed truth values : as the free variables of a (general) formula can range over several values, the truth value of such a formula may vary.

3. Sentence function - Wikipedia

   en.wikipedia.org/wiki/Sentence_function

   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 ...

4. Statement (logic) - Wikipedia

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

   In the latter case, a (declarative) sentence is just one way of expressing an underlying statement. A statement is what a sentence means, it is the notion or idea that a sentence expresses, i.e., what it represents. For example, it could be said that "2 + 2 = 4" and "two plus two equals four" are two different sentences expressing the same ...

5. Premise - Wikipedia

   en.wikipedia.org/wiki/Premise

   A premise or premiss [a] is a proposition—a true or false declarative statement—used in an argument to prove the truth of another proposition called the conclusion. [1] Arguments consist of a set of premises and a conclusion. An argument is meaningful for its conclusion only when all of its premises are true. If one or more premises are ...

6. Atomic sentence - Wikipedia

   en.wikipedia.org/wiki/Atomic_sentence

   For example, "The dog ran" is an atomic sentence in natural language, whereas "The dog ran and the cat hid" is a molecular sentence in natural language. From a logical analysis point of view, the truth or falsity of sentences in general is determined by only two things: the logical form of the sentence and the truth or falsity of its simple ...

7. Sentence (linguistics) - Wikipedia

   en.wikipedia.org/wiki/Sentence_(linguistics)

   A major sentence is a regular sentence; it has a subject and a predicate, e.g. "I have a ball." In this sentence, one can change the persons, e.g. "We have a ball." However, a minor sentence is an irregular type of sentence that does not contain a main clause, e.g. "Mary!", "Precisely so.", "Next Tuesday evening after it gets dark."

8. Principle of bivalence - Wikipedia

   en.wikipedia.org/wiki/Principle_of_bivalence

   The principle of bivalence is related to the law of excluded middle though the latter is a syntactic expression of the language of a logic of the form "P ∨ ¬P". The difference between the principle of bivalence and the law of excluded middle is important because there are logics that validate the law but not the principle. [2]

9. Content clause - Wikipedia

   en.wikipedia.org/wiki/Content_clause

   Declarative content clauses can have a number of different grammatical roles. They often serve as direct objects of verbs of reporting, cognition, perception, and so on. In this use, the conjunction that may head the clause, but is often omitted: He told her (that) she was smart. She thought (that) he was friendly. I hear (that) they've started ...