The Universe reveals striking mathematical beauty — extraordinary equations. This leads to the notion that if there were no matter, they would still exist as an ideal entity, and therefore, they might have a purpose: "the universe, with their help, creates intelligent worlds." But the paradox is that if there is no matter, then there is no this beauty, which exists only due to the presence of matter. And the fact that they are so incredible is due to the whimsicality of the physical world, without which they, as a descriptive language, would not be such, and there would not be us and these questions. They are, as they say in the language of science, supervenient phenomena, but not miracles.
Mathematics does not exist in the Universe as the substance of creation; it exists as a language for describing natural phenomena, playing an informative and descriptive role for us. The magnificence of its equations depends on the whimsicality of the physical world, without which the equations would not be so elegant, and we would not exist.
What is mathematics, and where did it come from? At first glance, mathematics seems to have a primary and fundamental existence, but it is a descriptive aspect of the physical world, be it real or possible, and does not play the role of substance in nature's creations. The magnificence of its equations depends on the whimsicality of the physical world. And the fact that the physical reality is such that with mathematics it lends itself to description perhaps implies that the existence of such a complex self-organizing world, capable of giving birth to intelligent beings, could not be otherwise: such a world always contains within the possibility of describing itself.
