If A implies B and B implies C.
Then an effect on variable A will cause an effect on variable C.
Logic (and mathematics in general) seem to rely on causality.
So, it seems that it would be impossible to model (or comprehend <g>) anything that wasn't causal with logic.
Thus ends my vague ponderance for this evening.
What's interesting about this, is that 'causality' seems to be a 'premise' for maths and logic.