## Philosophy Lexicon of Arguments | |||

Identity: Two objects are never identical. Identity is a single object, to which may be referred to with two different terms. The fact that two descriptions mean a single object may be discovered only in the course of an investigation. | |||

Author | Item | Excerpt | Meta data |
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Books on Amazon: Bertrand Russell |
Prior I 163 Identity/Russell: "a=a" "the a is the a" is false if there is no a or if there are multiple a - Def self-identity/Russell: nevertheless Russell’s Law "x = x" is part of his system - "For some (any) f if x ft, then ft x" - if we define individual existence as Lesniewkian self-identity, then it comes out at a class which must be regarded as a class of one and which can be predicted from some, but not from all classes - - - R I 58 Identity/Principia Mathematica/Russell: no judgment! E.g. we do not judge that Socrates = Socrates. - In a way, we judge an ambiguous case of propositional function (propositional function) "A is A". A propos I 111f Containment/Identity/Element relations/Equal sign/Epsilon/Principia Mathematica/(s): therefore containment must not be the same as identity, otherwise from the right i'x = i'x follows the wrong i'x ε i'x i.e., a class may not be the identical with its (perhaps only) element. |
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 Pri I A. Prior Objects of thought Oxford 1971 Pri II Arthur N. Prior Papers on Time and Tense 2nd Edition Oxford 2003 |

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Ed. Martin Schulz, access date 2017-05-30