Semantic analysis of non-reflexive logics

Non-reflexive logics are systems of logic developed to deal with non-individuals, i.e. particular entities whose status as individuals is denied (quantum particles being the main alleged example of such items). That task is performed by restrictions on the relation of identity at the syntactical level. Trouble appears when it comes to semantics. If the semantic for such logics is provided inside a classical metalanguage, unrestricted identity is re-introduced by this very framework. If, on the other hand, it is introduced by a non-reflexive framework, then it is the semantical understanding of that framework that is questioned. That situation is a threat for our making sense of something having no identity, and would render incoherent our attempts of a quantum ontology of non-individuals. We examine those questions, and argue that there is a reasonable formal semantics for non-reflexive logics with interesting features. Also, from an intuitive level, we argue that no informal semantics should be seen as posing obstacles to our understanding of non-individuality. We suggest that issues concerning our representational apparatus rely more heavily on metaphysical assumptions then the foes of non-individuality are willing to concede.