I think the next thing to consider would be "cause beyond a reasonable doubt".
If one person drinks coffee, and feels energetic, that's a correlation.
It's still a correlation if 2, 3, or 10 people drink coffee and feel energetic.
Now, lets consider an extreme example. Let's say that 200,000 people all drank coffee, and felt energetic. At this point, you could say that it is unreasonable to believe that coffee does not cause people to have energy.
Now, you might say everyone is different. So maybe it a component in a person's biology that causes the energy in response to the coffee...
But consider the case of immaculate conception. Assuming the Virgin Mary was, in fact, a virgin when she gave birth - she would be a pretty outstanding exception to the whole "copulate and create kids" theory. Since everyone else still has to copulate to create kids, Mary probably isn't enough to say that copulation does not cause pregnancy.
So to some degree, I would say that causation could be proved by demonstrating that the probability of the cause NOT leading to the effect is statistically insignificant.
----------
I think the reason that causation is confusing is because people because people abuse it. Some examples:
In society: "He did it because he was drunk. If he wasn't drunk, that never would have happened." Well...yes, but he was still the most immediate cause of the guy getting punched in the face. So - he caused the punch. (Whether or not he should be punished is a different matter)
In science : "Our need to use tools caused us to evolve to have opposable thumbs"
There's very few things that could actually be considered causation when it comes to evolution. This happens a lot, in science, unfortunately. In this instance, there isn't enough information to assume a causation.
One of the biggest offenders when it comes to inferring causation, in my opinion, is science. Take nutrition for instance. If a number of people drink milk, which contains calcium, and their bone density increases - many scientists would say that ingesting calcium causes increased bone density. This isn't necessarily the case, though. You can say that milk increases bone density, but you cannot assume that a component within the milk increases bone density without more testing.
That's why I love that you asked this question.
The decrease in the quality of our scientific research has really been bothering me these days. The issue is that many, many people will use scientific studies to argue a stance. The idea is that the authoritative source should be accurate, and in the case of a scientist - unbiased. I think, traditionally, that has been true. Lately though...science is falling a bit short of that expectation, and we've become so dogmatic about scientific studies, that people become emotional if you contradict the findings.
Arrogance has been an issue in science for a very long time. However, we live in an era where laymen have access to information, and everybody and their neighbor can become a scientist. We need to shelve our arrogance and make it socially acceptable to question the validity of incomplete, or theoretically-based scientific arguments.