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Is Tcup at t′ identical with Tcup at t? A relative identity theorist would deny that these questions have answers.
On either view, relative identity relations are fundamental.
Both relative identity and supervaluations validate this intuition.
The philosopher P.T. Geach first broached the subject of relative identity and introduced the phrase 'relative identity'.
Objection 5: Geach remarks that "As for our recognizing relative identity predicables: any equivalence relation…can be used to specify a criterion of relative identity".
The following constitute a "start up" set of objections and replies concerning relative identity and/or aspects of the foregoing account of relative identity and its rival.
In the next section, we shall see what the relative identity alternative offers by comparison.
Geach perceives an ontological advantage in relative identity; but his argument is unconvincing.
Geach makes many interesting claims about the behavior of relative identity relations.
As a result, the relative identity theorist must deny extensionality, which throws set theory into jeopardy.
This sort of anti-realism may seem to go hand in hand with relative identity.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com