We mathematicians have become obsolete.
We were doomed to die out as soon as “we” were born in the medieval period as a class of astrologers whose main task was to calculate the positions of planets and stars and the length breadth weights and measures of the empire.
Prior to that only Astrologers were given that respect and position within society, based on the Sumerian and Egyptian empires and their need for insight from the heavenly gods as to the opportune time for any and every venture. Such shamans using various practices were called sages and seers , whose visions were highly sought after and whose interpretations were regarded with awe.
The quest was to see, to visualise how any event would carry out its due process within the heavenly cycles.
It was the Pythagorean school who developed the ancient arts in Astrology and shamanism into a single or Monas-tic tradition. They collected together the worlds knowledge of Astrology and systematised it gradually into a coherent system based on the Mosaics of their Mousaion or temples to the Musai.
Such temples collected all the traditions and curated them , bringing together a vast worldly knowledge of Astrology and the Arts. To study at one of these Monasteries was to devote ones life to ceaseless research and curation, finding thought patterns that gave you mastery over the worlds astrological and Artistic knowledge, finding those patterns by a gift of the Muses!
The Aristotelian Lyceum replaced that whimsical tradition by hard logical and taxonomic learnings. For that reason alone the position of Mathematikos was doomed!
Prior to Plato extending the reach of the Pythagorean school and praxis into Athens Greece , Pythagoras was reputed to have established a Mousaion in Sicily under the Patronage of a local chieftain who provided the “Monks” with protection in return for their public services of education. Those that came to listen soon divided into the Akoustia and the devotees.
The Akoustia came to listen to the public teachings but the devotees came to learn and to be inspired of a Muse so as to teach and express the gift of that Muse.
As such there was no formal curriculum as in the Taxonomically driven Aristotelian Lyceum , instead discourses on topics were given by the Mathematikos, those qualified to teach, and debate and discussion ensued. The Monk or devotee was set Koans, test designed to bring them into close vicinity of the Muses. The Musai would then whimsically impart gifts to the Devotee. What they may be would become apparent as the gift was expressed.
One became a Mathematikos, not by examination and jumping over hurdles, but rather by Merit, that is by the acknowledgement of other Mathematikoi and even non Mathematikoi that one had the gift of a Muse, and particularly the gift of astrology and it’s counterpart geometry.
A Mathematikos was thus a gifted person who could reason by the astrological and geometrical patterns of the heavenly Musai, in particular circular or periodic proportions.
The development of the Arithmoi which was the distinguished Pythagorean name for what we now call mosaics was key to all astrology and geometry, for by these fundamental patterns all proportions were distinguished .
When Aristotle failed to attain the Status of Mathrmatikos, it was not because he was not gifted, but rather because he did not merit it among the Pythagoreans. He openly disputed with them over the logic of their principles and while he remained a firm Platonist he broke away from some key Pythagorean teachings.
Nevertheless others found him to be remarkably gifted and Learned and Philip of Macedonia employed him to tutor his 2 sons Alexander the great and Phillip. Alexander was very taken by Aristotle, regarding him as his Secret diviner, for him alone. Thus he was annoyed to hear that Aristotle had established an Academy to rival the Athenian Platonic outpost of Pythagoreanism.
The fates of empires lead to the dissolution of his academy while the Platonic academy survived until Roman times and even beyond in some meagre way enamoured by enthusiasts. Aristotles one salvation was the Arabs and Islamist rulers who defeating the Hellenists found Aristotles ideas to have been spread by Alexander everywhere. Thus they adopted them as clearly important to developing a strong Empire.
Later when Rome sacked Athens and the Platonists fled, Pythagorean literature came into the possession of the Islamic scholars, who mistaking it for a version of Aristotelianism mishandled its provenance and bound together two formerly incompatible traditions!
The Pythagoreans were moved to display their philosophy, the Aristotelians were moved to taxonomise it! What we call geometry was and is a counterpart to Astrology, but the principles of both arose out of the Artisanship of the temple builders and mosaic layers, the Tekne or Mechanics in Greek society .
Because of their low status, but absolutely essential skills they were a distinct slave class or worker class. As such they were employed by the wealthy with reasonable respect to their skills, but no high borne would deign to learn such skills! That is until they became a Pythagorean!
In India the Temple builders were again a distinct group and they handed down trade secrets in Ganitas and Sutras that were the aphoristic stock in trade of the Indian temple Astrologers
The Arab empire firmly combined these 2 streams of similar wisdoms into Geometry and Algebra . Between the 2 the Arithmoi sat as a peculiar skill which eventually in the Arabic universities became Arithmetic of Numbers, and Number theory. It was also called Kaballah by certain foreigners from mQuaballah to calculate, and even called Gematria( from geometria) or later Numerology.
This is the background to what Medieval scholars of the 14 th century began to call Mathematics. From arithmetical arts to arithmetical arts mainly employing the Algebraic rhetoric to mathematics seems to be the uneven course of the spread of this idea that 2 dysfunctional systems can be combined into one subject area.
Finally in the 1800 the crisis was reached, and geometry and mathematics was about to collapse. Algebra came to the rescue and from it analysis, and the problem limb Geometry was left to wither away!
However Hermann Grassmann thought this was a great injustice. He separated the geometry from Arithmetic and pointed out that that just left Formal expertises which were now inter communicant with a vibrant Geometry, Kinematics and Phorometry and Mechanics.
It is the Mechanics who in Archimedes time displayed the circular proportions on the Antikythera mechanism. It is the mechanics who displayed the polynomial calculations on mechanical computers and it is the mechanics and now Technologists who have refined the mechanisms to display the proportions on these mosaic screens,just as the Pythagoreans did.
The movement of the astrological bodies need only to be proportionately displayed, that was the goal of every Pythagorean. By so doing all wisdoms and knowledge can be organised and cohered or adhered to the great cycle and periods of the heavenly gods, and the opportune time for every venture clearly displayed, where possible.
We have no need of Mathematics so called now, because we can see on a computer monitor all we wish to envision, visualise and more!
What we require are those gifted individuals and mechanics who can build curate and maintain our new temples of the Musai.