Philosophy Dictionary of Arguments

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All: part of speech, which picks out all elements of the area under consideration. Problems are circular reasoning, decidability, self-reference, paradoxes.
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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

B. Russell on All - Dictionary of Arguments

I 80
"All properties of" is illegitimate! -> Reducibility axiom
: only "property 2nd order of ..." - of the whole of predicates, not of Napoleon! - Reducibility-axioms are necessary for identity (GoedelVs).
I 81f
All properties of a great emperor/Principia Mathematica(1)/Russell: Solution: (j): f (! j ^ z) implies j! (Example of Napoleon) - because the reference to a set of predicates is not itself a predicate of Napoleon.
I 143f
Principia Mathematica, 2nd Edition: "Napoleon had all the properties": New: variable function!


1. Whitehead, A.N. and Russel, B. (1910). Principia Mathematica. Cambridge: Cambridge University Press.

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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
B. Russell/A.N. Whitehead
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


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Ed. Martin Schulz, access date 2024-04-18
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