47 citations · 87 across the 29 of their papers we have counts for
15 papers · 1 filter
Individuality, quasi-sets and the double-slit experiment
Adonai S. Sant'Anna
Quasi-set theory allows us to cope with certain collections of objects where the usual notion of identity is not applicable, in the sense that is not a formula, if…
Generalizing Elitzur-Vaidman interaction free measurements
Adonai S. Sant'Anna, Otavio Bueno
In the early 1990's A. Elitzur and L. Vaidman proposed an interaction free measurement (IFM) that allows researchers to find infinitely fragile objects without destroying them. But…
Individuality as an illusion
Adonai S. Sant'Anna
Elementary particles in quantum mechanics (QM) are indistinguishable when sharing the same intrinsic properties and the same quantum state. So, we can consider quantum particles as…
Finite enumerable but undecidable collections
Adonai S. Sant'Anna
It is well known that in Zermelo-Fraenkel (ZF) set theory any finite set is decidable. In this paper we discuss an extension of ZF where this result is no longer valid. Such an ext…
Labels for non-individuals
Adonai S. Sant'Anna
Quasi-set theory is a first order theory without identity, which allows us to cope with non-individuals in a sense. A weaker equivalence relation called ``indistinguishability'' is…
Indistinguishability and nonlocality in Einstein-Podolsky-Rosen experiment
Adonai S. Sant'Anna
Quasi-set theory allows us a non trivial relation between indistinguishability and nonlocality into the context of Einstein- Podolsky-Rosen experiment. Quasi-set theory is a set th…