What makes some metaphysics crucial is that it’s a self-checking mechanism.
How can you derive right and wrong from a scientific field ABOUT that scientific field?
So, you have to just up to a metaphysics. (aka: Philosophy of ….,)–
Dewey decimal is smart in this.
Every field, including Philosophy itself, has a “Philosophy of…” part.
Philosophy of Science, Science
Philosophy of Music, Music
Philosophy of Art, Art
Philosophy of Math, Math
It’s also called: Meta-[something] or [something] Theory.
Dewey Decimal System, a library classification system that still like despite its many flaws, has a brilliant solution.
The first .01 is “Philosophy Of”
530.1 Theories and mathematical physics
510.1 Philosophy and theory
Big ones get a whole 1:
500 Natural sciences & mathematics
501 Philosophy & theory
So, it’s logical.