Can a realist picture adapt itself to the justificationist world view? The question might sound self contradictory. But here is where my question coming from. If you consider quantum theory as a language designed to give a grasp of natural phenomena, you may say any ontological model of this theory should be compatible with metaphysical claims of our theory of language.
On the other hand Kochen-Specker theorem (and later more generalised by Rob Spekkens) proves that it is required for quantum mechanics to be contextual. Here contextuality means if you have a basis for a measurement of an operator, it makes difference if in the figure, whether you measure the vector \psi_1 together with vectors \psi_2 and \psi_3 or another pair of vectors. http://qi10.ca/summerschool/"> [This figure is a slide from the lecture by Rob Spekkens available in:http://qi10.ca/summerschool/]
So the contextuality in this way requires a justificationist world view. But the Bohmian model (which is a realist one is contextual as well).
How, if at all, is it possible to be a scientific realist and a justificationist at the same time?