@Philomath I think this question is relevant and related to your question: Since mathematicians are physical beings, does this mean that mathematics ultimately reduces to physics?. In other words, if mathematics reduces to physics, that explains why mathematics can be investigated.

Lowri, you added a third paragraph in response to @Philomath's question. Can you please clarify the following confusion: Your first paragraph defines the category "non-physical without effects". Your second paragraph defines the category "non-physical with effects". Is your third paragraph introducing a third disjoint category specifically for math? Or is it a subcategory within one of the two previous categories?

Then what are your thoughts on nondualism?

@SimonCrase By the same token, we know that GR and QM are false (they are not perfect descriptions of reality), therefore physics.se should be merged into worldbuilding.se as a subbranch. String theory should be part of Worldbuilding too.

@GeoffreyThomas As I already explained to Lowri in chat, my question was always about fundamentally random processes, the word "fundamental" has been there all along. In fact, Syed understood what I meant by "fundamental" perfectly well even before the clarification, see his answer (I'm one of the few upvoters). However, some people decided to ignore the word fundamental and started discussing deterministic processes instead that are NOT fundamentally random. So I emphasized the word fundamental more explicitly via a clarification.