As an option, a model of the universe could be as follows: it has a beginning, preceded by the Era of Nothing, it emerged with the spontaneous appearance of self-organizing matter and has since evolved. Its structure is a Multiverse or a collection of Multiverses, and its properties enable it to continue to develop and exist eternally. Indeed, at present this assumption, as a comprehensive view on the world's boundaries, lacks a complete and adequate explanation, but as a hypothesis, it warrants recognition, which can be designated by the term "beternism", from the words "beginning" and "eternity".
During the inception of our Universe, fortuitously arose a small possibility that under certain circumstances there might come into existence at least a single primitive intelligent being. The planet upon which this would occur remained a mystery, and the emergence of intelligence on Earth is not miraculous. This could have materialized on another celestial body, and a thinking being similar to us would likewise ponder: why us, why here? It's a matter of chance, you're simply fortunate, your planet won the cosmic lottery.
The existence of such a curious creature as humans suggests the existence of a Universe just like ours. And this doesn't mean it was planned this way or that this is the only possible mode of existence. Reality could have had other properties that would not allow for the emergence of any kind of intelligent beings. Yet, fortunately for us, reality is just as it is.
What should the world be like for its existence to be possible? A world that, like ours, is capable on its own and without cause of giving birth to intelligent beings. In particular, should it be finite or infinite, having a beginning or being beginningless?
The ultimate questions about our world: Why does it exist? In what way does it exist? Does it have a purpose? Could it have not existed at all? Could reality be such that no intelligent being would have appeared? Why does it have the ability to give birth to intelligence? Why is the world the way it is? Why is it so whimsical? What is its structure? Is it finite or infinite? Has it always existed or does it have a beginning? Does it have a prime cause? What lies beyond its limits? Is it eternally evolving or destined to decline in the future? Can intelligent beings live forever? Is the world knowable or not?
The origin of intelligence, is it a mandatory and 'inevitable' property of reality? No, it's causeless and spontaneous. Reality could have existed in a primitive form without the self-organizing property. So why does the Universe possess this property, thanks to which intelligence arose in the process of evolution? Just, without a cause. Without this property, no questioning being would have emerged.
Does the universe have a beginning and a purpose? - a) no beginning and no purpose; b) no beginning, but there is a purpose; c) there is a beginning, but no purpose; d) there is a beginning, and there is a purpose.
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.