## Philosophy Lexicon of Arguments | |||

Author | Item | Excerpt | Meta data |
---|---|---|---|

Russell, Bertrand Books on Amazon: Bertrand Russell |
Propositions | 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: unequal Russell’s propositions - they do not contain their objects - ((s) anywhere. ...but their sense). 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. I 59 Proposition/Principia Mathematica/Russell: φ x (requires function) - Propositional function: φ x^ - not ambiguous - the values are all propositions of the form j x. 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’s pointless - (neither true nor false) - E.g. -the function- is a human is a human. 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^. 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. I125 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) - 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 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). |
R I B. Russell/A.N. Whitehead Principia Mathematica Frankfurt 1986 R II B. Russell Das ABC der Relativitätstheorie Frankfurt 1989 R IV B. Russell Probleme der Philosophie Frankfurt 1967 R VI B. Russell Die Philosophie des logischen Atomismus InEigennamen, U. Wolf (Hg), Frankfurt 1993 R VII B. Russell Wahrheit und Falschheit InWahrheitstheorien, G. Skirbekk (Hg), Frankfurt 1996 |

> Counter arguments against **Russell**

> Counter arguments in relation to **Propositions**

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Ed. Martin Schulz, access date 2017-03-25