  Hardy (1993) and Unruh (2018) constructed a family of non-maximally entangled
states of pairs of particles giving rise to correlations that cannot be
accounted for with a local hidden-variable theory. Rather than pointing to
violations of some Bell inequality, however, they pointed to clashes with the
basic rules of logic. Specifically, they constructed these states and the
associated measurement settings in such a way that the outcomes will satisfy a
set of two or three conditionals, which we call Hardy-Unruh chains, but not a
conditional entailed by this set. Quantum mechanics avoids such broken 'if ...
then ...' arrows because it cannot simultaneously assign truth values to all
conditionals involved. Measurements to determine the truth value of some
preclude measurements to determine the truth value of others. Hardy-Unruh
chains thus nicely illustrate quantum contextuality: which variables do and do
not get definite values depends on what measurements we decide to perform. We
use the framework inspired by Bub (2016) and Pitowsky (1989) and developed in
Janas, Cuffaro and Janssen (2022} to construct and analyze Hardy-Unruh chains
in terms of fictitious bananas mimicking the behavior of spin-1/2 particles.
