@misc{Lexicon of Arguments, title = {Quotation from: Lexicon of Arguments – Concepts - Ed. Martin Schulz, 29 Mar 2024}, author = {Russell,Bertrand}, subject = {Propositional Functions}, note = {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.}, note = { 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 }, file = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=203310} url = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=203310} }