  In this paper we attempt to analyze the physical and philosophical meaning of
quantum contextuality. We will argue that there exists a general confusion
within the foundational literature arising from the improper "scrambling" of
two different meanings of quantum contextuality. While the first one,
introduced by Bohr, is related to an epistemic interpretation of contextuality
which stresses the incompatibility (or complementarity) of certain measurement
situations described in classical terms; the second meaning of contextuality is
related to a purely formal understanding of contextuality as exposed by the
Kochen-Specker (KS) theorem which focuses instead on the constraints of the
orthodox quantum formalism in order to interpret projection operators as
preexistent or actual (definite valued) properties. We will show how these two
notions have been scrambled together creating an "omelette of contextuality"
which has been fully widespread through a popularized "epistemic explanation"
of the KS theorem according to which: The measurement outcome of the observable
A when measured together with B or together with C will necessarily differ in
case [A, B] = [A, C] = 0, and [B, C] /= 0. We will show why this statement is
not only improperly scrambling epistemic and formal perspectives, but is also
physically and philosophically meaningless. Finally, we analyze the
consequences of such widespread epistemic reading of KS theorem as related to
statistical statements of measurement outcomes.
