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math.LO2001
A critical study on the concept of identity in Zermelo-Fraenkel-like axioms
Aurelio Sartorelli, Decio Krause, Adonai S. Sant'Anna
According to Cantor, a set is a collection into a whole of defined and separate (we shall say distinct) objects. So, a natural question is ``How to treat as `sets' collections of i…
math.LO1999
Indexed identity and fuzzy set theory
Adonai S. Sant'Anna
We introduce the concept of indexed identity, where the usual notion of identity is a particular case. Our mathematical framework allows us a generalized method for `indexing' pred…