It is basically reductionism, or in the extreme atomism, and (as I understand it) it has largely fallen out of fashion both in the philosophy of science and in the philosophy of mind, since it heyday in the 1970s. And I don’t see it coming back into fashion any time soon.

I can definitely see why reductionism would appeal to an educated public. We learn about the periodic table; we are able to break sentences down to words, down to letters; to break an executable down to binary code, to machine instruction, to electrical currents flowing through semiconductors. Why shouldn’t we be able to do the same with conscious thoughts? It is certainly an appealing thought process.

As I understand it, reductionism started to fall out of favor because of the rise of quantum mechanics and chaos theory, where we have a lot of weird phenomena which cannot be explained by reducing the particles down to the sub-sub atomic (or rather they are better explained by describing the interactions directly).