Philosophy Dictionary of Arguments

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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.
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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.

 
Author Concept Summary/Quotes Sources

M.J. Cresswell on Identity - Dictionary of Arguments

I, 117 ff
Contingent Identity/some authors: here the Leibniz principle fails.
>Leibniz principle
.
Cresswell: better: that is only apparent identity.
E.g. the largest wooden building = the most beautiful building
right: the largest wooden necessary wooden - but not necessary identical with the most beautiful.
Problem: If it is identical, then it is necessarily indentical.
Necessary identity/(s): according to Kripke identity is necessary when names rather than labels are involved.
>Identity/Kripke, >Descriptions, >Proper names.
I 126
Necessary identity/Cresswell: if morning star = evening star, then: (if morning star and evening star nominal):
false: N (morning star x)(evening star y) (x = y)
but true:
(morning star x)(evening star y)N(x = y).
For x = y is true in every world under an attribution V iff V(x) = V(y), and then it is true in every possible world if it is true in one and then N(x = y).
Cresswell later: this corresponds in Hughes/Cresswell/HC: "The man next door = the major" as a natural truth: that is unnatural.
Cf. >Morning star/Evening star.
Hughes I 167f
Identity/Hughes/Cresswell: identity is always necessary: (x =) always underlying, even if x appears under different descriptions.
The descriptions are contingent, but not the identity of the object with itself - this also applies to non-identity: it is always necessary even if the corresponding sentence is true.
>Non-identity.

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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. Translations: Dictionary of Arguments
The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

Cr I
M. J. Cresswell
Semantical Essays (Possible worlds and their rivals) Dordrecht Boston 1988

Cr II
M. J. Cresswell
Structured Meanings Cambridge Mass. 1984

Hughes I
G.E. Hughes
Maxwell J. Cresswell
Einführung in die Modallogik Berlin New York 1978


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Ed. Martin Schulz, access date 2024-04-19
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