Caledonian: thanks for the reply, but that wasn’t what I was getting at. I can see that things in a temporal sequence may not be causally related—e.g. the light flashes and then the bell rings, but the light didn’t cause the bell. My question was about the reverse implication: if causality exists, such that A causes B, does that not necessarily imply that A preceded B and that time exists? If not, what aspect of time is not included within the notion of causality such that we can have causality but not time?
The only case I can think of offhand would be a time loop: grampa tells dad a secret, dad tells it to me, then I go back in time and tell it to grampa. In this case causality and time diverge for at least part of the loop. But in Elizier’s explanation of causality without time, where you use Bayesian analysis to determine which events in a series caused the others, requires that there be no causality loops. So I don’t think my time loop example answers my question: what is the difference between causality-with-time and causality-without-time?
Caledonian: thanks for the reply, but that wasn’t what I was getting at. I can see that things in a temporal sequence may not be causally related—e.g. the light flashes and then the bell rings, but the light didn’t cause the bell. My question was about the reverse implication: if causality exists, such that A causes B, does that not necessarily imply that A preceded B and that time exists? If not, what aspect of time is not included within the notion of causality such that we can have causality but not time?
The only case I can think of offhand would be a time loop: grampa tells dad a secret, dad tells it to me, then I go back in time and tell it to grampa. In this case causality and time diverge for at least part of the loop. But in Elizier’s explanation of causality without time, where you use Bayesian analysis to determine which events in a series caused the others, requires that there be no causality loops. So I don’t think my time loop example answers my question: what is the difference between causality-with-time and causality-without-time?