Mathematical Symbolism and Pythagorization in Contemporary Mathematics

MATHESIS March 2021, Volume 3
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Editorial Index:
• The evolution of mechanical systems and organic systems (Alkes)
• Theodorus' spiral, irrational numbers and $\pi$ (Solis)
• The cosmic numbers 5, 6 and 8 (Niko)
• Infinite and indefinite (Ur)
• Symbolism of divergent series - 1st part (Radice and Tabit)
• The module of San Galgano Abbey 1st part (Apotegma)
• Gematria and geometry 1st part (Leovire and Zadik)
• The law of karma and the great flow (Pentadecade)
• The harmony of the spheres: the circle, harmonics and Fourier series (1st part) (Solis)

Editorial:
In this issue of Mathesis we are happy to present a collection of articles that, beyond any doubt, deal with something that has never been done before: the Pythagorization of a fundamental core of contemporary Mathematics. If for years Mathematical Symbolism has been limited to a passive representation of the immense symbolic work of the past, always anchored to tools and discoveries of ancient Mathematics; in this issue of Mathesis, more than in all others, we have decided to open the coffers of contemporary Mathematics and show the symbolic meanings of some of its tools.

Indeed, in this issue of Mathesis you will find the work "the law of karma and the great flow" in which an effective support for meditating on the law of Necessity is described. In this work it will be clarified how contemporary differential geometry is a symbolic basis particularly suitable for symbolizing the law of Causality. The reader will be guided to see within themselves the unfolding of such law and will be able to Pythagorize internally the relative awareness, if in possession of some mathematical knowledge; otherwise they will still be able to glimpse its geometric symbolism in its general characteristics.

The logical consequence of this article will be presented in the next issue of Mathesis with the title "initiation and singularity theory", a Pythagorean symbolization of the necessary level break represented by Initiation.

Equally profound is Solis' article titled "harmony of the spheres: the circle, harmonics and Fourier series", in which Pythagoras' genius is demonstrated through the achievements of twentieth-century harmonic analysis. This article, which will be continued in the next issue, not only confirms the exact correspondence between mathematics, the acoustic musical phenomenon and planetary astronomical musicality, but opens intuition to other types of incorporeal and abstract musicality, still not understood and only just revealed by the theoretical research of the last century.

Also in this issue, Mathesis hosts a seminal work by Alkes: "the evolution of mechanical systems and organic systems", in which the first foundations are laid to be able to Pythagorize the evolution of organic systems. The distinction between systems that have within themselves their respective evolutionary principle, precisely organic systems, and those for which such principle is external, mechanical ones, is of great esoteric importance and with it also the mathematics associable to such distinction.