2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79317We 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' predicates, which corresponds to `fuzzification' of properties, in an intuitive sense. It can be established a relationship between this indexed mathematics and fuzzy mathematics. We show some few examples that illustrate our ideas.LaTeX, 9 pages, no figuresLogictext