|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.|
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|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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Dum 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