Psychology Dictionary of ArgumentsHome
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| Propositional function: open sentence E.g. "Something is green", "x is green" - neither true nor false. A propositional function has an argument position (variable) in which an expression can be inserted. Only after inserting we can decide whether the then complete sentence is true or false._____________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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Bertrand Russell on Propositional Functions - Dictionary of Arguments
I XXIV Propositional functions/Russell/Gödel: always have something ambiguous, because of the variables. (Frege: somewhat unsaturated). >Ambiguity, >"unsaturated", >Statement, >Quanfication, >Truth value. I 26 Propositional function/Terminology/Principia Mathematica(1)/Russell: if we want to speak of the Propositional function that "x is hurt" corresponds to, we will write: "x ^ is hurt" and "x is hurt" is an ambiguous value thereof. ((s) x^: class of x). 1. Whitehead, A.N. and Russel, B. (1910). Principia Mathematica. Cambridge: Cambridge University Press. - - - VI 73 Statement function/russell: any expression which has one or more indefinite parts and which becomes a statement when the indefinite part is determined. Example "x is red". A propositional function can be always true (x = x, necessary), sometimes true (x = human, possible) or never true (x = unicorn, impossible). VI 74 Some predicates can only be attributed to statement functions and not to statements. >Nonexistence, >Unicorn example._____________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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> Counter arguments against Russell
> Counter arguments in relation to Propositional Functions
