  Bell's theorem admits several interpretations or 'solutions', the standard
interpretation being 'indeterminism', a next one 'nonlocality'. In this article
two further solutions are investigated, termed here 'superdeterminism' and
'supercorrelation'. The former is especially interesting for philosophical
reasons, if only because it is always rejected on the basis of extra-physical
arguments. The latter, supercorrelation, will be studied here by investigating
model systems that can mimic it, namely spin lattices. It is shown that in
these systems the Bell inequality can be violated, even if they are local
according to usual definitions. Violation of the Bell inequality is retraced to
violation of 'measurement independence'. These results emphasize the importance
of studying the premises of the Bell inequality in realistic systems.
