@misc{Lexicon of Arguments, title = {Quotation from: Lexicon of Arguments – Concepts - Ed. Martin Schulz, 28 Mar 2024}, author = {Russell,Bertrand}, subject = {Propositions}, note = {Horwich I 54 Proposition/Russell: is a complex entity with components: E.g. Smith is taller than Brown: Smith, Brown, the relation taller than - E.g. Brown is smaller than Smith: is therefore equivalent, but is different in all three components! - Letter to Frege: the mountain literally appears in the proposition - Cartwright: thoughts/Frege: are not the same as Russell’s propositions - they do not contain their objects - ((s) ."...but their sense"). Horwich I 56 Proposition/Russell/Cartwright: how can a proposition be wrong if it consists of the components and the nature of their connection? - Solution/Russell: another quality. CartwrightVs: which had already been rejected. Horwich I 59 Proposition/Principia Mathematica(2)/Russell: φ x (requires function) - Propositional function: φ x^ - not ambiguous - the values ​​are all propositions of the form j x. >Propositional function. Horwich I 60 I.e. the symbol φ (φx^) must not express a proposition as does indeed, if a is a value for φ x^ - indeed j(jx^) must be a symbol that expresses nothing, it is pointless - (neither true nor false) - E.g. -the function- is a human is a human. >Levels/Order. Horwich I 60f Proposition/propositional function/Principia Mathematica/Russell: The symbol (x).j x shall always express the proposition φ x, i.e. the proposition that claims all values ​​for φ x^. Horwich I 61 This proposition presupposes the function j x^, not just an ambiguous value of the function - the assertion of φ x, where x is not specified, is different from that which claims all values for φ x^, because the former is an ambiguous assertion, and the latter is not ambiguous in any sense. (1) 1. R. Cartwright, „A Neglected Theory of Truth“ , Philosophical Essays, Cambridge/MA pp. 71-93 in: Paul Horwich (Ed.) Theories of Truth, Aldershot 1994 2. Whitehead, A.N. and Russel, B. (1910). Principia Mathematica. Cambridge: Cambridge University Press. - - - Russell I 125 Proposition/Function/Extensional/Tractatus/Wittgenstein: functions of propositions are always truth functions - a function can only occur in a proposition by means of its values. (see above ​​extensional). >Truth function, >Extension. Consequence: all functions of functions are extensional. E.g. A believes p is not a function of p - (Tractatus 19-20). ((s) VsRussell: (see above) > Waverley, functions are equivalent, but not identical, because George IV did not want to know if Scott = Scott - ((s) being believed is not a function of the believed object) - ((s)> extrinsic properties, extrinsic) - ((s)> Function of a function of higher level).}, 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 Horwich I P. Horwich (Ed.) Theories of Truth Aldershot 1994 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=257145} url = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=257145} }