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  2. Gödel's completeness theorem - Wikipedia

    en.wikipedia.org/wiki/Gödel's_completeness_theorem

    The completeness theorem applies to any first-order theory: If T is such a theory, and φ is a sentence (in the same language) and every model of T is a model of φ, then there is a (first-order) proof of φ using the statements of T as axioms. One sometimes says this as "anything true in all models is provable".

  3. Gödel's incompleteness theorems - Wikipedia

    en.wikipedia.org/wiki/Gödel's_incompleteness...

    In his completeness theorem (not to be confused with the incompleteness theorems described here), Gödel proved that first-order logic is semantically complete. But it is not syntactically complete, since there are sentences expressible in the language of first-order logic that can be neither proved nor disproved from the axioms of logic alone.

  4. Sentence diagram - Wikipedia

    en.wikipedia.org/wiki/Sentence_diagram

    A sentence diagram is a pictorial representation of the grammatical structure of a sentence. The term "sentence diagram" is used more when teaching written language, where sentences are diagrammed. The model shows the relations between words and the nature of sentence structure and can be used as a tool to help recognize which potential ...

  5. Sentence clause structure - Wikipedia

    en.wikipedia.org/wiki/Sentence_clause_structure

    An incomplete sentence, or sentence fragment, is a set of words that does not form a complete sentence, either because it does not express a complete thought or because it lacks some grammatical element, such as a subject or a verb. [6] [7] A dependent clause without an independent clause is an example of an incomplete sentence.

  6. Subject–verb–object word order - Wikipedia

    en.wikipedia.org/wiki/Subject–verb–object...

    In linguistic typology, subject–verb–object (SVO) is a sentence structure where the subject comes first, the verb second, and the object third. Languages may be classified according to the dominant sequence of these elements in unmarked sentences (i.e., sentences in which an unusual word order is not used for emphasis).

  7. Charlie X - Wikipedia

    en.wikipedia.org/wiki/Charlie_X

    "Charlie X" is the second broadcast episode of the first season of the American science fiction television series Star Trek. Written by Dorothy C. Fontana from a story by Gene Roddenberry, and directed by Lawrence Dobkin, it first aired on September 15, 1966.

  8. Object–subject–verb word order - Wikipedia

    en.wikipedia.org/wiki/Object–subject–verb...

    In linguistic typology, the object–subject–verb (OSV) or object–agent–verb (OAV) word order is a structure where the object of a sentence precedes both the subject and the verb. Although this word order is rarely found as the default in most languages, it does occur as the unmarked or neutral order in a few Amazonian languages ...

  9. Verb–subject–object word order - Wikipedia

    en.wikipedia.org/wiki/Verb–subject–object...

    In linguistic typology, a verb–subject–object (VSO) language has its most typical sentences arrange their elements in that order, as in Ate Sam apples (Sam ate apples). VSO is the third-most common word order among the world's languages, [1] after SOV (as in Hindi and Japanese) and SVO (as in English and Mandarin Chinese).