  It is well known that in quantum mechanics we cannot always define
consistently properties that are context independent. Many approaches exist to
describe contextual properties, such as Contextuality by Default (CbD), sheaf
theory, topos theory, and non-standard or signed probabilities. In this paper
we propose a treatment of contextual properties that is specific to quantum
mechanics, as it relies on the relationship between contextuality and
indistinguishability. In particular, we propose that if we assume the
ontological thesis that quantum particles or properties can be
indistinguishable yet different, no contradiction arising from a
Kochen-Specker-type argument appears: when we repeat an experiment, we are in
reality performing an experiment measuring a property that is indistinguishable
from the first, but not the same. We will discuss how the consequences of this
move may help us understand quantum contextuality.
