## Philosophy Lexicon of Arguments | |||

Author | Item | Excerpt | Meta data |
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Russell, Bertrand Books on Amazon: Bertrand Russell |
Variables | XXI I Variables/Russell/Goedel: only to enable truth function. - Finite/Infinite/Ramsey: the problem of solving infinite propositions is not so critical. - Gödel: then Russell’s Apercu that propositions about classes can be interpreted as propositions about their elements literally becomes true, provided that n is the number of the (finite) individuals in the world, and provided we neglect the zero class. I 28 Pseudo-variable/Peano/Russell: the symbol (x). φ x denotes a particular proposition and there is no sense of difference between (x). j x and (y). φ y if they occur in the same context. - ((s)> Quine: alphabetical variant) - o is x in (x) φ x not an ambiguous part of an expression and such an expression itself remains the bearer of a very specific meaning despite the ambiguity of the x in φ x. - pseudo-variables: exist if the extension does not go over the entire range - a proposition with an state of affairs x is not a function of x. - Extension: the function of which all or some values are asserted. I 29 Ambiguous assertion and the real variable: any arbitrary value φ x of the function φ x^ can be asserted. - Real Variable: φx. - If x varies, a different proposition results. I 30 Pseudo-variable: is obtained if we put a universal quantifier before it. I 73 Pseudo-Variable: several poss. values can be meant. - Descriptions always contain pseudo-variables - sentences without pseudo-variables: observation sentences E.g. This is red. I 74 Pseudo-Variable/Principia Mathematica/Russell/(s): E.g. (y).φ(x,y), which is a function of x - here y is a pseudo-variable, x is the real variable. - ((s) E.g. everything smaller than x - instead of y it could also say z here). |
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 |

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Ed. Martin Schulz, access date 2017-03-23