|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._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. |
Definition/Frege: you cannot define: "The number one is a thing", because there is a definite on the one side of the equation and an indefinite article on the other.
Definition/Frege: specifying a mode of operation is not a definition.
Definition/Object/Introduction/Frege: the way in which an object was introduced is not a property of the object. - The definition of an object only specifies the use of a sign, it says nothing about the object. - ((s) Here: introduction of an object in the speech = definition) - Introduction/Frege: after the introduction, the definition turns into a judgment about the object.
FregeVsFormalism: The F. only gives instructions for definitions - not definitions as such.
E.g. Number i/Frege: you have to re-explain the meaning of "sum". - FregeVsFormalism/FregeVsHilbert: it is not enough to demand only one meaning.
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Definition/Object/Frege: the definite article must be on both sides here. - Defining an object only specifying the use of a sign. - More interesting are definitions of properties.
Indefinable/Frege: are truth and identity as a simple basic concepts. - Other AuthorsVs. > truth theories, > theories of meaning._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. The note [Author1]Vs[Author2] or [Author]Vs[term] is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.
Die Grundlagen der Arithmetik Stuttgart 1987
Funktion, Begriff, Bedeutung Göttingen 1994
Logische Untersuchungen Göttingen 1993