Honestly, I don't know. Maybe they are just both partial descriptions of the same thing, which at this moment seems to be not composed, but these is a chance we will later discover that some particle is composed of smaller particles (this happened with atoms, later happened with protons). This kind of decomposition will probably not continue infinitely; there will be some particles (many of them we probably already know) that are not composed of other particles; they could be reduced yet to something else, but after a few steps we will get to the pure math. Well... maybe.

But does a similar situation exist when speaking about "mental things"? Can mental things be indivisible, like waves or particles, in other ways than metaphorically? Is there a thinking without a mind made of atoms; is there a feeling without hormones; an idea or memory without a storage medium? (If yes, why should we use the same words for them that other people use for those psychological things made of atoms?)

If someone believes so, then they should choose that they believe in "ontologically basic mental entities".