# Philosophy Dictionary of Arguments

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Predicativeness, redicativity, philosophy: concepts are predicative that do not come from the totality to which they refer. They can therefore be used without the danger of circularity. See also circularity, impredicativity, Poincaré.

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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.

Author Concept Summary/Quotes Sources

Bertrand Russell on Predicativeness - Dictionary of Arguments

I 96
Predicative functions: f (x) - non-predicative: f(x^): Function as opposed to its values! - Predicative(s): function that is one step higher than its argument.
I 109
Class/predicative/totality/Principia Mathematica/Russell: each class can be defined by a predictive function - hence the totality of classes, of which one can sensibly say that a given term belongs to them or not, a legitimate entirety, although the entirety of functions, of which one can say that a given term fulfils them or not, is not a legitimate entirety.
I 116
Definition predicative function/Principia Mathematica/Russell: notation: j ! (x,y) (predicative function of x and y.) -
Def non-predicative/impredicative function/Principia Mathematica/Russell: function as opposed to its values: notation: j ! (x^, y^).

E. Picardi Alfred North Whitehead/Bertrand Russell: Principia Mathematica aus "Hauptwerke der Philosophie 20. Jahrhundert" , Eva Picardi u.a. Stuttgart 1992 p. 18

Non-predicative properties: E.g. having all the properties of a great commander - predicative: E.g. to be born in Corsica.

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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. Translations: Dictionary of Arguments
The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

Russell I
Principia Mathematica Frankfurt 1986

Russell II
B. Russell
The ABC of Relativity, London 1958, 1969
German Edition:
Das ABC der Relativitätstheorie Frankfurt 1989

Russell IV
B. Russell
The Problems of Philosophy, Oxford 1912
German Edition:
Probleme der Philosophie Frankfurt 1967

Russell VI
B. Russell
"The Philosophy of Logical Atomism", in: B. Russell, Logic and KNowledge, ed. R. Ch. Marsh, London 1956, pp. 200-202
German Edition:
Die Philosophie des logischen Atomismus
In
Eigennamen, U. Wolf (Hg), Frankfurt 1993

Russell VII
B. Russell
On the Nature of Truth and Falsehood, in: B. Russell, The Problems of Philosophy, Oxford 1912 - Dt. "Wahrheit und Falschheit"
In
Wahrheitstheorien, G. Skirbekk (Hg), Frankfurt 1996

> Counter arguments against Russell

Ed. Martin Schulz, access date 2022-01-28