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Precising Definition
A precising definition is a definition that contracts or reduces the scope of the lexical definition of a term for a specific purpose by including additional criteria that narrow down the set of things meeting the definition. For example, a dictionary may define the term "student" as "1. anyone attending an educational institution of any type, or 2. anyone who studies something." However, a movie theater may propose a ''precising definition'' for the word "student" of "any person under the age of 18 enrolled in a local school" in order to determine who is eligible to receive discounted tickets. Precising definitions are generally used in contexts where vagueness is unacceptable; many legal definitions are precising definitions, as are company policies. This type of definition is useful in preventing disputes that arise from the involved parties using different definitions of the term in question. A precising definition is intended to make a vague word more precise so that the wo ...
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Definition
A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols). Definitions can be classified into two large categories: intensional definitions (which try to give the sense of a term), and extensional definitions (which try to list the objects that a term describes).Lyons, John. "Semantics, vol. I." Cambridge: Cambridge (1977). p.158 and on. Another important category of definitions is the class of ostensive definitions, which convey the meaning of a term by pointing out examples. A term may have many different senses and multiple meanings, and thus require multiple definitions. In mathematics, a definition is used to give a precise meaning to a new term, by describing a condition which unambiguously qualifies what a mathematical term is and is not. Definitions and axioms form the basis on which all of modern mathematics is to be constructed. Basic terminology In modern usage, a definition is something, typically expressed in words, that att ...
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Lexical Definition
The lexical definition of a term, also known as the dictionary definition, is the definition closely matching the meaning of the term in common usage. As its other name implies, this is the sort of definition one is likely to find in the dictionary. A lexical definition is usually the type expected from a request for definition, and it is generally expected that such a definition will be stated as simply as possible in order to convey information to the widest audience. Note that a lexical definition is ''descriptive'', reporting actual usage within speakers of a language, and changes with changing usage of the term, rather than ''prescriptive'', which would be to stick with a version regarded as "correct", regardless of drift in accepted meaning. They tend to be inclusive, attempting to capture everything the term is used to refer to, and as such are often too vague for many purposes. When the breadth or vagueness of a lexical definition is unacceptable, a precising definition ...
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Vagueness
In linguistics and philosophy, a vague predicate is one which gives rise to borderline cases. For example, the English adjective "tall" is vague since it is not clearly true or false for someone of middling height. By contrast, the word "prime" is not vague since every number is definitively either prime or not. Vagueness is commonly diagnosed by a predicate's ability to give rise to the Sorites paradox. Vagueness is separate from ambiguity, in which an expression has multiple denotations. For instance the word "bank" is ambiguous since it can refer either to a river bank or to a financial institution, but there are no borderline cases between both interpretations. Vagueness is a major topic of research in philosophical logic, where it serves as a potential challenge to classical logic. Work in formal semantics has sought to provide a compositional semantics for vague expressions in natural language. Work in philosophy of language has addressed implications of vagueness for the th ...
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Stipulative Definition
A stipulative definition is a type of definition in which a new or currently existing term is given a new specific meaning for the purposes of argument or discussion in a given context. When the term already exists, this definition may, but does not necessarily, contradict the dictionary (lexical) definition of the term. Because of this, a stipulative definition cannot be "correct" or "incorrect"; it can only differ from other definitions, but it can be useful for its intended purpose.Hurey, Patrick J. ''A Concise Introduction to Logic'', Cengage Learning, For example, in the riddle of induction by Nelson Goodman, " grue" was ''stipulated'' to be "a property of an object that makes it appear green if observed before some future time ''t'', and blue if observed afterward". "Grue" has no meaning in standard English; therefore, Goodman created the new term and gave it a ''stipulative definition''. On stipulative definitions Stipulative definitions of existing terms are useful in m ...
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Persuasive Definition
A persuasive definition is a form of stipulative definition which purports to describe the true or commonly accepted meaning of a term, while in reality stipulating an uncommon or altered use, usually to support an argument for some view, or to create or alter rights, duties or crimes. The terms thus defined will often involve emotionally charged but imprecise notions, such as "freedom", "terrorism", "democracy", etc. In argumentation the use of a persuasive definition is sometimes called definist fallacy. (The latter sometimes more broadly refers to a fallacy of a definition based on improper identification of two distinct properties.) Examples of persuasive definitions (definist fallacies) include: * Democrat – "a leftist who desires to overtax the corporations and abolish freedom in the economic sphere". *"Let's define ''atheist'' as someone who doesn't yet realize that God exists." Persuasive definitions commonly appear in controversial topics such as politics, ...
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