For instance, the principle behind the interaction problem (things must be of the same nature to interact), aside from mysteriously never being raised against miracles (what’s with that?), is absolutely ungrounded. I have debated the interaction problem with multiple materialists on this thread, most of whom have raised this absurd and clearly ridiculous argument, and just kind of ignore when I refute the assumption.
There are a lot of things that are going on here, I think. Materialists would, I imagine, object to miracles because they do not believe in God. Most, I think, concede that if an omnipotent God were to exist, then that God would be able to perform miracles. They just don’t think that God exists, and they are probably thinking more about God’s supposed omnipotence rather than His immateriality.
In the case of a Cartesian
res cogitans, again, most materialists do not believe in God. Besides the mind in question, the only other immaterial “substances” they might believe in are abstract objects, which do not have any causal efficacy.
That said, similar objections are sometimes raised against cosmological arguments (particularly when the cosmological argument is poorly stated). Bertrand Russell’s objection comes to mind - he said something to the effect of “We can’t assume that something outside the universe exists, since causality is undefined outside of the universe.” Similarly, a materialist might reply that we do not know of immaterial substances which can act, so why suppose that God can, if God is taken to be immaterial? The issue with such objections are that cosmological arguments tend to argue that there
must be something causally efficacious to account for what is in the universe (whether because change
needs to lead to an unmovable mover,or because the universe needs to have an explanation outside of itself). So the theist does not begin by assuming that it is possible that something outside of the material universe could be causally efficacious, but claims (by argument) that something must be.
In the case of God’s immateriality, it is not assumed either. That God must be Pure Act, or Subsistent Being Itself, is taken to be demonstrated by the argument, from which it follows that God could not change and must be immaterial. To claim that we don’t
know whether immaterial things can act is beside the point, since the argument aims to demonstrate that something must be immaterial.
I suppose one could attempt to make a similar argument about a Cartesian
res cogitans. Before any arguments are made, it is an open question whether immaterial substances can act on the physical, and if argument shows that there
is an immaterial substance which acts on the physical, then the once-open question is now closed.
I think the main reason for the interaction problem is weirdness. Descartes took
res cogitans to be unique in the world. The questions for a materialist become - Why is it there? Why does it only seem to be in our minds? What linked together our minds with our bodies? Why should I start believing in a unique sort of substance that I don’t see anywhere else? Most materialists, I think, would view it as a “gap” explanation, whether or not it is one.
Another example is the principle that “no effect can be greater than it’s cause”. I can’t remember how, but I’ve heard this used to argue for the existence of God.
One could argue for this, depending on how broadly “cause” is taken. A match lights a piece of firewood. The firewood is burning far more brightly than the match. But the match was not the only cause - it is actualizing a latent potential (to burn) in the firewood.