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September 23 - October 2, 2021
The causal connection itself seems unobservable. It hides away and we have to infer its presence from other factors of the situation. This is why we often struggle to pin down causal connections. To a large extent it is a vast scientific endeavour to figure out what causes what and even when we think causation has been established there is no guarantee that we are right.
Russell noted that in science, asymmetric causal relations don’t appear at all. Rather, physics is full of equations such as E = mc2 and F = Gm1m2/d2. And an equation can be read left to right or right to left. In other words, the directionality of causation is not really a feature of the world because in its scientific formulation it can just as easily run in the opposite direction.
We say that 2 + 2 = 4, for instance, which is to say that each side is of equal sum. But it is less obvious that 4 = 2 + 2 insofar as 4 can also be the sum of 1 + 3. The point is that 2 + 2 can equal only one sum, 4; whereas 4 can be the sum of several combinations (2 and 2, 1 and 3, 10 and minus 6, and so on). And in this respect there is at least some asymmetry.
Physics provides a representation of the world: a largely mathematical one. It is useful that it does so. Results within a mathematical model are sometimes borne out and used in explanation, prediction, and technology. But we should not forget that physics is the representation and should not be mistaken for the world itself.
In that case, if we felt that physics had left out of its representation a central datum about the world—the asymmetry of causation—then we might be entitled to ask for a better physics. The world is not a number, nor an equation. It is a concrete particular inhabited by physical objects and some of them appear to be causally related to others. Physics sometimes forces us to rethink and revise common sense, which may be perfectly legitimate. But it should not follow automatically that because a theory works out mathematically, within a model, the world is exactly like that model or like the
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Without causation, nothing in our universe would seem to hang together. Hume even called it ‘the cement of the universe’ (‘Abstract of the Treatise’, 1740).
Hume thought that we couldn’t say that causation explains correlation. On the contrary, correlation explains causation. We shouldn’t say that one kind of thing regularly follows another because they are causally connected. Rather, we think that one thing causes another only because one regularly follows another.
The problem here is that our experience of regularities can only be of what is regular thus far. In cases we have observed, A has been followed by B; but given that nothing about A makes B occur—it’s just a fact that it has done so—then there is no rational justification for saying that in the future As will be followed by Bs.
Induction is a form of inference we arguably draw from past observed cases to future unobserved cases. Having seen matches light when struck, one assumes future struck matches will light. The regularity view offers us no explanation of why this should be, however, so the inductive inference looks to be entirely groundless.
A singularist is looking for causal connections between individual dated events: such as John’s clapping of his hands at midday on Thursday causing a distinctive sound. Singularists think that we can ignore everything else but these two events, if all we want to know is whether one caused the other.
Suppose we were to find that happy people tend to be friendly. There is a correlation between happiness and friendliness. We might decide that there is a causal connection between these two factors, but which was the cause and which was the effect? A sensible way of settling this would be to investigate which comes first. Were these people happy first and then became friendly? Or were they first friendly and then became happy?
If A caused B, then B did not cause A. The acceptance of temporal priority might explain this asymmetry. If A caused B, and causes must be prior to their effects, then it follows that A is before B. It follows again that B cannot, therefore, be before A; and thus that B cannot be a cause of A.
Hume’s view was that if A and B are constantly conjoined and A occurs before B, then this still would not be enough for us to conclude that A is a cause of B. The reason for this is that A and B would also need to be next to each other; that is, spatially adjacent. This is what Hume means by contiguity.
What caused World War II immediately was Chamberlain’s issuing of an ultimatum that was ignored. But what led to Chamberlain issuing such an ultimatum is more illuminating: Nazi aggression against Germany’s neighbours. There is a story of how we got to that point too. The standard account in history is that Archduke Franz Ferdinand was assassinated in Sarajevo, leading to the outbreak of World War I. The settlement of that war produced the Treaty of Versailles, the harshness of which upon Germany led to the rise of an expansionist movement of National Socialism.
The cue ball cannot affect the object ball once it has moved away until they clash again at some other time. What happens to it after it has run away is just the story of what happens to it after the cue ball has caused it to move. This suggests that the causation between the cue ball and object ball occurs at the time that they are touching, where momentum is being passed from one to the other.
Similarly, no dissolving is occurring while the sugar cube is being held in someone’s hand, being moved towards a cup of tea, for instance. The causation with respect to the dissolving of sugar occurs only once the sugar is in the tea. Someone placing it in the cup is just the explanation of how it got there. It’s not really the cause of it dissolving.
Philosophers of physics are still trying to interpret exactly what is going on in these cases but one interpretation that is still entertained is that quantum entanglement involves instantaneous action over a distance, without any intermediate chain. This would be deeply puzzling because it seems to involve causation travelling faster than the speed of light, which is supposedly the fastest of all things.
By necessity, they may mean that something is strictly entailed, that it has to be the case, or that it is true in all possible worlds. By contingent, they may mean something that could be true or not, that it might be the case, or that it is true in some but not all possible worlds.
John Mackie (1917–81) noted that for almost every effect, there could be multiple causes at work. Suppose someone drops a cigarette in a house, which subsequently burns down. The house is unlikely to have burnt down just from the dropping of the cigarette. It also needed the presence of flammable materials, such as furniture, and plenty of oxygen so that the flame could take hold. The dropped cigarette was not sufficient on its own to cause the fire but it certainly was an essential part of the whole cause of it. In other words, there would not have been a fire without the cigarette.
We commend this inus-condition account for recognizing causal complexity, to which we will return. But we also classify it as a sophisticated form of necessitarianism. To say that a set of causes, S, is sufficient for an effect is another way of saying that S necessitates it. These are just two different ways of saying that if S occurs, its effect must occur.
But here is one major problem. Just as necessity seems to impinge on our freedom, so too does contingency. Suppose your action is uncaused, or has some contingent element such as chance or randomness. That doesn’t seem to make you free. On the contrary, it makes you lose control. You would now be a slave to chance instead of a slave to necessity. You don’t want decisions to just pop into your head, as a matter of contingency: you want to retain power over them. There seems to be no free will if all is necessary; but no free will if all is contingent either.
There are two ways in which a machine, or any kind of causal set-up, can fail. One would be if a part failed. Suppose a vital cog falls out of the machine, for instance, leaving a gap in the mechanism. The chain of causes that travels through the machine fails at that point. This is an instance of what we could call subtractive interference, which is the taking away of something from the cause, which prevents it having its usual effect.
In the second kind of case, we leave all parts of the machine intact but now we add some further element. Perhaps the cog in the machine gets covered in dust, which causes it to jam. Again the machine fails: not because something has been taken away but because something has been added. We will call this additive interference.
There may be a certain probability that a particle will have decayed after a certain period of time. There is nothing compelling it to have decayed by that time, and indeed it may not do so. But perhaps it is more likely to decay by that time than not. It has a propensity to do so. And when it does so, there seems no contradiction in the idea that the propensity caused the decay, even if it didn’t guarantee it.
In philosophical terms, this would be known as a counterfactual dependence test of causation. And there is a philosophical theory that this is more than just a test: that causation itself consists in counterfactual dependence between events.
One idea is that the counterfactual dependence has to be between separate events. Causation needs to be a natural relation, concerning events that are happening in the world, rather than what Hume called relations of ideas. Some counterfactual dependences will be purely logical, mathematical, or analytic (Hume’s relations of ideas). Others will concern events and facts in the world depending on each other, and that is what interests us.
Causation seems to consist not in what there is, but in something that is not: something that is contrary to fact. One might think that the elk’s presence actually affected some other thing: it got in the way of the train. But we can only say the elk caused the delay, on this account, if it is true that had it not been there, the train would have run on time.
Counterfactual dependence is not the reason why things are causally related; being causally related is the reason why some events have a counterfactual dependence. The latter might just be a product or symptom of causation.
If the elk had not been there, the train would still have been late because of the stuck signal. And if the signal had not been stuck, the train would still have been late because of the elk. So neither comes out as a cause of the delay if causation consists in counterfactual dependence.
There is also the opposite case. There are some instances that do not seem causal but there is nevertheless a counterfactual dependence between distinct events. This sort of case is what we would call a sine qua non or necessary condition.