|Incomplete symbols: This is an expression by B. Russell for phrases that cannot stand alone to be meaningful. (B. Russell, “On Denoting, in Mind”, New Series, Vol. 14, No. 56. (Oct. 1905), pp. 479-493.) For example, descriptions such as “the fattest man”. In “Principia Mathematica” Russell, however, distinguishes names as complete symbols from descriptions as incomplete symbols. What is crucial here is that the context or the use of the expression must contribute to the definition. See also subsententials, compositionality, Frege-Principle, names, descriptions._____________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. |
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Def incomplete Symbol/Principia Mathematica/Russell: E.g. proposition or sentence. (Contrast:. Judgment that is already complete because it brings together perception and sentence about the perception).
E.g. the proposition Socrates is a human being requires some kind of supplement. - But if I judge the same wording, the corresponding judgement is complete - although no explicit amendment was made to the proposition.
Incomplete Symbol/Principia Mathematica/Russell: sentence or proposition - complete: Judgment (brings together sentence and perception).
Description/name/proper name/Principia Mathematica/Russell: E.g. round square is a description, not a proper name. - ((s) so names are not abbreviated descriptions.) - Description: incomplete. - Name/Russell: complete, complete symbol.
Incomplete symbols: formulas in mathematics: only useful in use - descriptions, remain undetermined. - Symbol for classes.
Complete symbols: proper names: E.g. Socrates.
Def incomplete symbols/Russell/Flor: class names, or expressions that contain class names and thus can be replaced by other symbols Example "all humans" "some people": - (logical fictions)._____________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.
B. Russell/A.N. Whitehead
Principia Mathematica Frankfurt 1986
Das ABC der Relativitätstheorie Frankfurt 1989
Probleme der Philosophie Frankfurt 1967
Die Philosophie des logischen Atomismus
Eigennamen, U. Wolf (Hg), Frankfurt 1993
Wahrheit und Falschheit
Wahrheitstheorien, G. Skirbekk (Hg), Frankfurt 1996