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A logical argument, seen as an ordered set of sentences, has a logical form that derives from the form of its constituent sentences; the logical form of an argument is sometimes called argument form. [6] Some authors only define logical form with respect to whole arguments, as the schemata or inferential structure of the argument. [7]
In generative grammar and related approaches, the logical form (LF) of a linguistic expression is the variant of its syntactic structure which undergoes semantic interpretation. It is distinguished from phonetic form , the structure which corresponds to a sentence's pronunciation.
Logical grammar or rational grammar is a term used in the history and philosophy of linguistics to refer to certain linguistic and grammatical theories that were prominent until the early 19th century and later influenced 20th-century linguistic thought.
A form of logical expression where all quantifiers are moved to the front, standardizing the structure of first-order logical statements. primitive recursion A form of recursion where a function is defined in terms of itself, using simpler cases, with a base case to stop the recursion.
English grammar is the set of structural ... The "logical subject" of the verb then ... a present participle and gerund form in -ing (writing), a past ...
A statement is regarded as the information content of an information-bearing sentence. Thus, a sentence is related to the statement it bears like a numeral to the number it refers to. Statements are abstract logical entities, while sentences are grammatical entities. [3] [4]
The oldest known grammar handbook is the Art of Grammar (Τέχνη Γραμματική), a succinct guide to speaking and writing clearly and effectively, written by the ancient Greek scholar Dionysius Thrax (c. 170 – c. 90 BC), a student of Aristarchus of Samothrace who founded a school on the Greek island of Rhodes. Dionysius Thrax's ...
An alternative definition sees logic as the study of logical truths. [14] A proposition is logically true if its truth depends only on the logical vocabulary used in it. This means that it is true in all possible worlds and under all interpretations of its non-logical terms, like the claim "either it is raining, or it is not". [ 15 ]