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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.
A satisfiable theory is a theory that has a model. This means there is a structure M that satisfies every sentence in the theory. Any satisfiable theory is syntactically consistent, because the structure satisfying the theory will satisfy exactly one of φ and the negation of φ, for each sentence φ.
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."
Dummett believes a speaker must know three components of a sentence to understand its meaning: a theory of sense, indicating the part of the meaning that the speaker grasps; a theory of reference, which indicates what claims about the world are made by the sentence, and a theory of force, which indicates what kind of speech act the expression ...
In a deductive theory, any sentence which is a logical consequence of one or more of the axioms is also a sentence of that theory. [11] This is called the received view of theories. In the semantic view of theories, which has largely replaced the received view, [18] [19] theories are viewed as scientific models. A model is an abstract and ...
A contemporary semantic definition of truth would define truth for the atomic sentences as follows: An atomic sentence F(x 1,...,x n) is true (relative to an assignment of values to the variables x 1, ..., x n)) if the corresponding values of variables bear the relation expressed by the predicate F.
For example, take the sentence "Reggie gave the kibble to Fergus on Friday." Thematic relations: Reggie is doing the action so is the agent, but he is also the source of the kibble (note Reggie bears two thematic relations); the kibble is the entity acted upon so it is the patient; Fergus is the direction/goal or recipient of the giving.
Theoretical linguistics is a term in linguistics that, [1] like the related term general linguistics, [2] can be understood in different ways. Both can be taken as a reference to the theory of language, or the branch of linguistics that inquires into the nature of language and seeks to answer fundamental questions as to what language is, or what the common ground of all languages is. [2]