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In mathematics, a well-defined expression or unambiguous expression is an expression whose definition assigns it a unique interpretation or value. Otherwise, the expression is said to be not well defined, ill defined or ambiguous. [1]
Contrast the term primitive notion, which is a core concept not defined in terms of other concepts. Primitive notions are used as building blocks to define other concepts. Contrast also the term undefined behavior in computer science, in which the term indicates that a function may produce or return any result, which may or may not be correct.
One can also speak of "almost all" integers having a property to mean "all except finitely many", despite the integers not admitting a measure for which this agrees with the previous usage. For example, "almost all prime numbers are odd". There is a more complicated meaning for integers as well, discussed in the main article.
The word may also come from Old French jargon meaning "chatter of birds". [17] Middle English also has the verb jargounen meaning "to chatter", or "twittering", deriving from Old French. [18] The Canterbury Tales by Geoffrey Chaucer is the first known use of the term "jargon" in English literature. The first known use of the word in English is ...
A computation is any type of arithmetic or non-arithmetic calculation that is "well-defined". [27] The notion that mathematical statements should be 'well-defined' had been argued by mathematicians since at least the 1600s, [28] but agreement on a suitable definition proved elusive. [29]
The term "word" has no well-defined meaning. [7] Instead, two related terms are used in morphology: lexeme and word-form [definition needed]. Generally, a lexeme is a set of inflected word-forms that is often represented with the citation form in small capitals. [8] For instance, the lexeme eat contains the word-forms eat, eats, eaten, and ate.
The term problem solving has a slightly different meaning depending on the discipline. For instance, it is a mental process in psychology and a computerized process in computer science. There are two different types of problems: ill-defined and well-defined; different approaches are used for each.
Fallacies of definition are the various ways in which definitions can fail to explain terms. The phrase is used to suggest an analogy with an informal fallacy. [1] Definitions may fail to have merit, because they are overly broad, [2] [3] [4] overly narrow, [3] [4] or incomprehensible; [4] or they use obscure or ambiguous language, [2] contain mutually exclusive parts, [3] or (perhaps most ...