Their is a distinction between natural and supernatural. I am speakiing of the spiritual in the natural sense, not supernatural, (that which is above and beyond nature.) The spiritual in the nature sense is that which is intrinsic to man’s nature because he is a rational creature, he is composed of body and soul. This is something many people, especially imperical scientists are not in agreement with. (unfortunately) . The theory of evolution is another subject in itself and there are true logical answers that discredit it eg. you can’t give what you don’t have, and you can’t create something from nothing, and many others.
There are miracles happening every year at the Shrine at Lourds, France. The body of St. Bernadette Soubirous lies , not mumified, but uncorrupted for 122 years, science can not explain it. The Catholic archives are filled with such examples. The recent St. Padre Pio was instrumental in the curing of a little girl born blind, without pupils and now can see. I saw an exray illustrated that showed a bone to exist, that wasn.t there before. Just recently a miracle was attributed to one or both Popes being cannonized, check it out. There is plenty of evidence if one seeks it.
Brain activity is an indication or an effect produced by a cause. WE (Catholics) know it is the soul causing it. The soul,is the source of immanent activity in the human body and it is spiritual, and through metaphysics it can be proved. Not all catholics can prove it but the Church through it Philosopher/Theologians can. There is a union between body and soul it is called “homo sapien”, knowing man. And when they are separated it is call “physical death” corruption of the physical body. The soul is in incorruptable
Dealing with math (It is called the second degree of abstraction (spiritual activity of intelligence- even Einstein agreed with this concept in his essays "In my later years) science applies a spiritual truth called math principles. Math because it is a spiritual concept can deal with infinity, possibility of infinite math combinations.empirical reality bcause it deals with finitiness, and indefinitness can’t deal with infinity. Empirical science is limited. This is why they can never get it 100% right, but close, but not perfectl. When we talk about perfection we are dealing with the spiritual, the infinite, not the finite.
Heisenberg Uncertainty Principle states that it impossible to determine simultaneously the position and the momentum of an elimentary particle. So if we know the location of the particle, we can’t determine its velocity and if we know its velocity we can’t can’t determine it’s location. Did they ever consider that our universe is undergoing a constant change, it is dynamic, not static, a constant movement from a potential to act. That we are constantly being created, and that movement is change. These and such concepts are beyond empirical science. They can’ t see the forest for the trees. I can share personal experiences that are beyond the understanding of scientists, but that may be for another time.