I don’t know if this question even makes sense, but let’s say we have a group of people debating a set of ideas. Over the course of their discussion one idea starts to win out. Not because of a material base, but like the philosophical rigor of the argument is the best. That wouldn’t be dialectical materialism, the ideas would be resolved by an idealist dialectic. Assuming they’re talking about pure math or something like that. Or is the Marxist idea that even mathematics is a result of materialism?
Ah or is mathematics just a type of rationality, and being rational is part of the definition of dialectic