On one hand -- prompts like this do change the latent space of the generation process, to get a different kind of output. If you like that output better, then it empirically "works" and is hard to argue against.
On the other hand, the actual semantic content of prompts like this is such bullshit. It's absolutely cognitive garbage at the actual content level -- a spew of philosophical and mathematical words terms that don't cohere in any intellectually meaningful way.
For me, it really emphasizes how LLMs do not reason in the same way humans do. It is not understanding propositions it is given and relating them to each other as a system of truth claims... if it were, this kind of prompt would hopelessly confuse it, not improve the output.
It really is just vibes all the way down.