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It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure of arguments alone, independent of their topic and content. Informal logic is associated with informal fallacies, critical thinking, and argumentation ...
In logic, mathematics, computer science, and linguistics, a formal language consists of words whose letters are taken from an alphabet and are well-formed according to a specific set of rules called a formal grammar. The alphabet of a formal language consists of symbols, letters, or tokens that concatenate into strings called words. [1]
Colloquialism (also called colloquial language, everyday language, or general parlance) is the linguistic style used for casual (informal) communication. It is the most common functional style of speech, the idiom normally employed in conversation and other informal contexts . [ 1 ]
The boundaries between formal and informal language differ from language to language, as well as within social groups of the speakers of a given language. In some circumstances, it is not unusual to call other people by first name and the respectful form, or last name and familiar form.
Additionally, formal rules can be applied outside of logic or mathematics to human language, treating it as a mathematical formal system with a formal grammar. [ 27 ] A characteristic stance of formalist approaches is the primacy of form (like syntax ), and the conception of language as a system in isolation from the outer world.
Formal arguments are studied in formal logic (historically called symbolic logic, more commonly referred to as mathematical logic today) and are expressed in a formal language. Informal logic emphasizes the study of argumentation; formal logic emphasizes implication and inference. Informal arguments are sometimes implicit.
[2] [3] In this view, language is regarded as arising from a mathematical relationship between meaning and form. The formal description of language was further developed by linguists including J. R. Firth and Simon Dik, giving rise to modern grammatical frameworks such as systemic functional linguistics and functional discourse grammar.
Formal grammar, a grammar describing a formal language; Colloquialism, the linguistic style used for informal communication; T–V distinction, involving a distinction between formal and informal words for "you" Formal proof, a fully rigorous proof as is possible only in a formal system; Dynamic and formal equivalence word-for-word translation ...