List Of Mathematical Jargon
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List Of Mathematical Jargon
The language of mathematics has a wide vocabulary of specialist and technical terms. It also has a certain amount of jargon: commonly used phrases which are part of the culture of mathematics, rather than of the subject. Jargon often appears in lectures, and sometimes in print, as informal shorthand for rigorous arguments or precise ideas. Much of this uses common English words, but with a specific non-obvious meaning when used in a mathematical sense. Some phrases, like "in general", appear below in more than one section. Philosophy of mathematics ; abstract nonsense:A tongue-in-cheek reference to category theory, using which one can employ arguments that establish a (possibly concrete) result without reference to any specifics of the present problem. For that reason, it is also known as ''general abstract nonsense'' or ''generalized abstract nonsense''. ; canonical:A reference to a standard or choice-free presentation of some mathematical object (e.g., canonical map, ca ...
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Language Of Mathematics
The language of mathematics or mathematical language is an extension of the natural language (for example English language, English) that is used in mathematics and in science for expressing results (scientific laws, theorems, proof (mathematics), proofs, logical deductions, etc.) with concision, precision and unambiguity. Features The main features of the mathematical language are the following. * Use of common words with a derived meaning, generally more specific and more precise. For example, "or (logic), or" means "one, the other or both", while, in common language, "both" is sometimes included and sometimes not. Also, a "line (mathematics), line" is straight and has zero width. * Use of common words with a meaning that is completely different from their common meaning. For example, a mathematical ring (mathematics), ring is not related to any other meaning of "ring". Real numbers and imaginary numbers are two sorts of numbers, none being more real or more imaginary than the ot ...
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