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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.
Students learn spelling through the Carden "controls", a set of rules for deconstructing a word into its basic phonic parts. The controls are essentially a distillation of classic dictionary marks, but are "presented in such a way that the students are able to remember how and why a word is spelled" and to also explain the reasons why letters are pronounced differently. [4]
A classic example of a problem which a regular grammar cannot handle is the question of whether a given string contains correctly nested parentheses. (This is typically handled by a Chomsky Type 2 grammar, also termed a context-free grammar.)
In linguistics, syntax (/ ˈ s ɪ n t æ k s / SIN-taks) [1] [2] is the study of how words and morphemes combine to form larger units such as phrases and sentences.Central concerns of syntax include word order, grammatical relations, hierarchical sentence structure (constituency), [3] agreement, the nature of crosslinguistic variation, and the relationship between form and meaning ().
Traditional grammar (also known as classical grammar) is a framework for the description of the structure of a language or group of languages. [1] The roots of traditional grammar are in the work of classical Greek and Latin philologists. [2] The formal study of grammar based on these models became popular during the Renaissance. [3]
Syntax is usually associated with the rules (or grammar) governing the composition of texts in a formal language that constitute the well-formed formulas of a formal system. In computer science, the term syntax refers to the rules governing the composition of well-formed expressions in a programming language. As in mathematical logic, it is ...
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The consequence of these features is that a mathematical text is generally not understandable without some prerequisite knowledge. For example, the sentence "a free module is a module that has a basis" is perfectly correct, although it appears only as a grammatically correct nonsense, when one does not know the definitions of basis, module, and free module.