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

A. Prior on Identity - Dictionary of Arguments

I 63
Identity of classes: symbolic:

∏xEφxψx
Identity/Relation-in-Extension:

∏x∏yEφxyψxy.

Identity/thre-place predikates:

∏x∏y∏zEφxyzψxyz

So you can go on and on up - or down to zero-place predicates (propositions).

>Predicates
, >Propositions, cf. >Predicates/Cresswell.
I 62ff
Identity/Prior: a "zero-place predicate": (0) Eφy i.e. "If φ then ψ and if ψ then φ" (spelling Lesniewski: E = equivalent) - which is the case when φ and ψ are the case, or not case when φ and ψ are not.
>Definition, >Definability, >Facts, >Truth value.
Truth value/Prior: so we imagine the term "truth value" for what we describe as the same, if the condition (0) is satisfied.

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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.

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 2024-04-18
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