|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._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. |
|Frege II 65
Identity/Frege: E.g. a = b: the meaning of "a" is the same as that of "b". - But the sense of "b" is different from that of "a". - >judgment >epistemological value >non-trivial identity.
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Dummett III 70f
Identity/VsFrege/Dummett: (Informative/Uninformative) Example a = b: some: in order to understand this, you need to know - if it is true - that it is true - Important argument: then it does not provide information. - FregeVs: there’s no need to know if two expressions designate the same object if you understand the expressions. ((s) You can also know the "general" reference.) - ((s) The intentions may just be different.)
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Frege II 40
Identity/Statement/Assertion of Identity/Identity Statement/Frege: E.g. a = b: does not say anything about signs, but about objects. - Otherwise, no insight would be expressed by this, because signs are arbitrary anyway. - So it is not about "a" and "b" meaning the same thing. - That would be a statement about signs. - ((s) Instead: that they are different modes of givenness of the same object - (manner of givenness/(s): is not the sign)!.
Identity/Frege: a = b: Meaning of "a" is the same as that of "b". - But the sense of "b" is different from that of "a". Identity/Frege: same meaning, different sense. - Notion: therefore, the thought expressed by "a = a" is different from that expressed by "a = b"._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.
Die Grundlagen der Arithmetik Stuttgart 1987
Funktion, Begriff, Bedeutung Göttingen 1994
Logische Untersuchungen Göttingen 1993
Ursprünge der analytischen Philosophie Frankfurt 1992
Wahrheit Stuttgart 1982