Causal countabilism

Causal finitism says that every item has a finite causal history.

A weaker view is causal countabilism, that all the causal histories of items are at most countably infinite.

Is there any evidence for causal countabilism? Well, of course, any argument for causal finitism is an argument for causal countabilism. But is there any other evidence?

I can think of one piece. It would be good if we could come up with a metaphysical account of the countable, maybe to resolve the Lowenheim-Skolem theorem, or to help provide a metaphysical characterization of the natural numbers. A causal countabilism that isn’t a causal finitism could do that: a set is countable if and only if it is the same size as a possible causal history of an event. If a theory can help accomplish an important task, maybe that’s some evidence for the theory. (That said, causal finitism can also account for countability, as I discuss in my infinity book.)

Are there any known applications for causal countabilism? Before today, I would have said “no”. But I now know two. One is that the “technical assumption” in my last version of the Meyer cosmological argument is entailed by causal countabilism. A second will be in my next post today.