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If correct, the Penrose–Lucas argument creates a need to understand the physical basis of non-computable behaviour in the brain. [9] Most physical laws are computable, and thus algorithmic. However, Penrose determined that wave function collapse was a prime candidate for a non-computable process.
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 ...
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".
The sentence can be given as a grammatical puzzle [7] [8] [9] or an item on a test, [1] [2] for which one must find the proper punctuation to give it meaning. Hans Reichenbach used a similar sentence ("John where Jack had...") in his 1947 book Elements of Symbolic Logic as an exercise for the reader, to illustrate the different levels of language, namely object language and metalanguage.
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.
Subject–auxiliary inversion (SAI; also called subject–operator inversion) is a frequently occurring type of inversion in the English language whereby a finite auxiliary verb – taken here to include finite forms of the copula be – appears to "invert" (change places) with the subject. [1]
English word order has moved from the Germanic verb-second (V2) word order to being almost exclusively subject–verb–object (SVO). The combination of SVO order and use of auxiliary verbs often creates clusters of two or more verbs at the center of the sentence, such as he had hoped to try to open it. In most sentences, English marks ...
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).