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Full Idea
We can analyse qualitative identity in terms of numerical identity, by saying that x and y are type-identical if there is a single type T that x and y both are, i.e. they both exemplify the same type.
Gist of Idea
Qualitative identity can be analysed into numerical identity of the type involved
Source
Colin McGinn (Logical Properties [2000], Ch.1)
Book Ref
McGinn,Colin: 'Logical Properties' [OUP 2003], p.3
A Reaction
This just seems to shift the problem onto the words 'are' and 'exemplify'. This takes us back to the problem of things 'partaking' of Plato's Forms. Better to say that qualitative identity isn't identity - it is resemblance (see Idea 6045).
Related Idea
Idea 6045 It is best to drop types of identity, and speak of 'identity' or 'resemblance' [McGinn]
| 17848 | Things such as two different quadrangles are alike but not wholly the same [Aristotle] |
| 10024 | The type-token distinction is the universal-particular distinction [Armstrong, by Hodes] |
| 13945 | A token isn't a unique occurrence, as the case of a word or a number shows [Cartwright,R] |
| 6044 | Qualitative identity is really numerical identity of properties [McGinn] |
| 6046 | Qualitative identity can be analysed into numerical identity of the type involved [McGinn] |
| 6043 | Type-identity is close similarity in qualities [McGinn] |
| 6045 | It is best to drop types of identity, and speak of 'identity' or 'resemblance' [McGinn] |
| 8290 | One view is that two objects of the same type are only distinguished by differing in matter [Lowe] |
| 13920 | Each thing has to be of a general kind, because it belongs to some category [Lowe] |
| 6157 | Tokens are dated, concrete particulars; types are their general properties or kinds [Rowlands] |
| 4647 | 'I have the same car as you' is fine; 'I have the same fiancée as you' is not so good [Baggini /Fosl] |