Was an italian mason, Arturo Reghini (1878-1946), to write one of the most comprehensive document on masonic Delta and Pythagorean tetraktys.
Sacred Numbers, Sacred Geometry and Acoustics. All of them playing an important role in the interdicted part of Alchemy keys. While sharing common sources on these topics, nowadays Alchemy and Masonry are revealing different and sometimes conflicting aims. Alchemy is a discipline without brotherhood, Masonry is a brotherhood without discipline. Most of misleading beliefs on Alchemy have been spread around by Masonry. Reghini, educated in maths, nom de plume Pietro Negri, although an highly ranked mason was one of the most italian prominent hermetic researcher. His aversion to fascism, after an early trusting endorsement, was finally overtly ended. I Thought that a serial translated divulgation of his “ I Numeri Sacri nella Tradizione Pitagorica Massonica” or “ Sacred Numbers in Traditional Pythagorean Masonry) posthumous published in Roma 1947, could be of some interest. My translation is as follows:
The Pythagorean Tetractys and Masonic Delta.
“Bless us, divine number generating gods and humans, sacred tetraktys, containing the root and source of creation that eternally regenerates”. Golden Verses.
Restoring the ancient Pythagorean arithmetic work is very difficult, for reports are still scarce and not all reliable. We should at every step and statement cite sources and discuss their value, but this would make our exposure long and heavy and difficult to understand. Therefore, in general, we will refrain from any philology, we will stick only to what has been resulted less controversial and always declare where it is just our opinion or our work.
The Pythagorean ancient and modern literature is very extensive, and so we decide to waive the listing of hundreds of books, studies, articles, and authors of ancient and modern steps constituting it. According to some critics, historians and philosophers, Pythagoras was a simple moralistic and would never deal with mathematics, according to some hypercritical Pythagoras would not have existed, but we have for sure the existence of Pythagoras, and, accepting the witness of almost contemporary philosopher Empedocles, we do believe that his knowledge in every field of knowledge was very great. Pythagoras lived in the sixth century before Christ, he founded a school in Calabria and an Order that Aristotle called the Italian school, and taught among other things, arithmetic and geometry. According to Proclus, head of the School of Athens in the fifth century of our era, Pythagoras was the first who raised the geometry to the dignity of science and, according to Tannery, geometry comes from the brain of Pythagoras as Athena comes armed with all points from the brain of Jupiter.
But no writings of Pythagoras or attributed to him has come down to us, and it is very possible he did not write anything. If it were otherwise, in addition to remote antiquity, it should be kept in mind the fact that the Pythagoreans kept secret over their teachings, or at least some of them. A Belgian philologist, Armand Delatte, in his first work: “ Études sur la littérature pythagoricienne, Paris, 1915” , made a most learned criticism of the Pythagorean literature sources, and he has made clear, among other things that the famous “Golden Verses”, although a compilation by a neo-Pythagorean of the second and fourth centuries of our era, woud allow us to go back almost to the top of the Pythagorean school, for they were transmitting archaic knowledge. This work by Delatte will be our principal source. There are other ancient witnesses in the writings of Philolaus, Plato, Aristotle and Timaeus Tauromenium. Philolaus was, along with Tarentum Archytas, one of the most prominent contemporary close to Pythagoras, Timaeus was a Pythagorean historician. And the great philosopher Plato is strongly affected by the influence of the Pythagorean and we consider him a Pythagorean, although not belonging to the sect. Much less ancient are Pythagoras biographers, that’s to say Iamblichus, Porphyry and Diogenes Laertius, who were neo-Pythagoreans in the first centuries of our era, along with writers and mathematicians as Theon of Smyrna and Nicomachus of Jerash. Mathematical writings of the two latter authors are the source transmiting Pythagorean arithmetic. Even Boethius has fulfilled this task. A lot of information we owe to Plutarch.
Among the moderns, besides Delatte and the old work by Chaignet on “Pythagore et la philosophie pythagoricienne”, Paris, 2nd ed. 1874, and “ the Word of Pythagoras” by Augusto Rostagno, Turin, 1924, we will make use of the work “ The Theoretic Arithmetic of the Pythagoreans”, London 1816, 2nd ed., Los Angeles, 1934, Dr. Thomas Taylor English Greek scholar who was a neo-Plato and a neo-Pythagorean, and among historians of mathematics we will make use of “Maths in ancient Greece”, Milano, Hoepli, 1914, 2nd ed., Gino Loria, and his work “ A History of Greeck Mathematics” T . Heath, 1921.