Mathematics and scientific proofs, according to the provided sources, demonstrate that harmony and regularity in the world are not the result of a random mechanism but of a creative act emanating from a source that is infinite and self-sufficient.

Divine Blueprint: Mathematics and Science Affirming the Infinite

Mathematics and scientific proofs, according to the provided sources, demonstrate that harmony and regularity in the world are not the result of a random mechanism but of a creative act emanating from a source that is infinite and self-sufficient. On one hand, mathematics, through strict and immutable truths, indicates that the infinite “lives in and by itself” and, as such, cannot undergo random changes. This is illustrated by the following reasoning: “Mathematics answers from the earth: ‘Truth, most sacred Truth! It cannot be otherwise. Such is the property of the infinite: it, and only it, lives in and by itself... There is no resemblance between existence and existence. Again the theologian proclaims: all was in Him, and without Him nothing existed that did exist. And once more mathematics answers: ‘Truth, most sacred Truth! Phenomena, like numbers, must have their source—an inexhaustible source—and such a source is the infinite, that is, God!’ God is seen nowhere... due to the infinite difference that distinguishes the infinite from any number, no limited being is capable of seeing God either with sensory vision or through the grasp of the mind!” This underscores the idea that mathematics encapsulates the inherent necessity within the structures of the infinite, which can be identified with God ( link txt).

On the other hand, scientific observations confirm that the laws of nature possess an astonishing precision and harmony that cannot be explained by mere mechanical determinism. For example, it is noted: “The structure of the world, both in its individual parts and as a whole, astonishes with its harmony and regularity, testifying to the superintelligence and omnipotence of the force that created it. Only God is conceivable. There are not only no empirical grounds to deny the rationality of the world’s structure...” ( link txt). Here, the scientific perspective, supported by examples of the harmonious equilibrium of physical interactions, demonstrates that even the slightest deviation in these regularities would lead to collapse, indicating the presence of a higher, purposeful power that establishes order and harmony in the Universe.

Thus, the regularity revealed by both mathematics and scientific proofs is that all phenomena—from abstract numerical truths to tangible physical laws—require a source, which is the primary cause and foundation of all that exists. This source, with its infinite nature and self-sufficiency, is interpreted as God, whose existence is substantiated by the necessity of having absolute order and harmony throughout all of existence.

Supporting citation(s):

“This again confirms science. From the heavens, the Apostle John the Theologian proclaims: In the beginning was the Word, and the Word was with God, and the Word was God. Mathematics answers from the earth: 'Truth, most sacred Truth! It cannot be otherwise. Such is the property of the infinite: it, and only it, lives in and by itself. It is self-life. Its actions on numbers, no matter how immense, have no and cannot have any influence on the mode of existence of the infinite, which is separated from all creatures by an infinite difference, existing among creatures completely independently and without intermingling with them.' There is no resemblance between existence and existence. Again, the theologian proclaims: all was in Him, and without Him nothing existed that did exist. And once more mathematics answers: 'Truth, most sacred Truth! Phenomena, like numbers, must have their source—an inexhaustible source—and such a source is the infinite, that is, God!' God is seen nowhere, the heavenly messenger continues proclaiming to humanity, and again mathematics states at his meeting: 'Truth, most sacred Truth! Due to the infinite difference that distinguishes the infinite from any number, no limited being, however exalted, is capable of seeing God either through sensory sight or through the grasp of the mind!'" (source: link txt)

“If so, then the creation of the world by God is a mathematical necessity and truth. As much as this truth is valid, so is the truth that the creation of the world, as the work of an unlimited mind, cannot be fully comprehended, discussed, and entrusted to the limited human mind. The first truth is revealed to humans, alongside science, by divine Scripture; …” (source: link txt)

“It is one of the most widespread ideas by virtue of its simplicity and persuasiveness and has been known since ancient times. It is recognized in religious-philosophical thought perhaps throughout all times and among all peoples of the earth. Its main idea is summed up as follows. The structure of the world, both in its individual parts and as a whole (as known), astonishes with its harmony and regularity, testifying to the superintelligence and omnipotence of the force that created it. Only God can be such. Not only are there no empirical grounds to deny the rationality of the world’s structure, but without acknowledging it, science could not exist at all. Although, from a strictly logical point of view, the regularity of the structure of the world as a whole and of all its parts cannot be proven...” (source: link txt)