Correlation is a statistical concept, and as such it does not imply causality. But Londoner(GER) explicitly made that caveat.
The correlation of two variables often leads to ill-founded conclusions, for example the ecological fallacy ( http://en.wikipedia.org/wiki/Ecological_fallacy
) or tempts people to disregard intervening variables. But it is fair to say that correlation is often interpreted
as causality, which interpretation may turn out to be right or wrong after all relevant factors are fully known.
Also, Londoner's definition of "coherence" is correct. It is a logical/philosophical/cognitive science concept referring to a body of propositions or set of beliefs, meaning that all of the propositions/beliefs could be true at the same time, but no statement is made as to where they are in fact true or false. Many conspiracy theories are perfectly coherent, but that doesn't mean that any such a theory is true.