|Definition: determination of the use of linguistic signs (words, symbols, connectives) for non-linguistic or linguistic objects. New definitions are not supposed to be creative, that is, they are to be derived from the use of the signs already employed. See also definability, conservativity, systems, theories, models, reference systems, context definition, explicit defnition, implicit definition.|
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Definitions / Mates: we need them to represent formalized theories - they introduce designations that do not belong to the vocabulary of the language, but make them more readable - I 250 Def creative Definition / Mates: leads to new theorems in which the defined symbol does not occur - requirement: a satisfactory definition should be non-creative
metalinguistic definitions / Mates: bring a name of the defined symbol in object language: the symbol itself - e.g. a) metalinguistically: if a and b are terms so is a = b for I21ab - b) object-language: (x) (y) (x = y I21xy).
Elementare Logik Göttingen 1969