Monday, July 31, 2023

The Cosmic Context of Greek Philosophy: Part Six

by Laura Knight-Jadczyk 

Hecataeus of Miletus



Hecataeus (550-476 BC) is not a philosopher, proper, but since he has been quoted in relation to Pythagoras by Heraclitus, I’m including him briefly in his proper chronological spot. Recall what Heraclitus said about him, quoted in the discussion of Pythagoras:

The learning of many things does not teach understanding; if it did, it would have taught Hesiod and Pythagoras, and again Xenophanes and Hecataeus.

Hecataeus was a historian, born in a wealthy family, who occupied a high position in Miletus. He was against a revolt of the Ionians against Persian rule and when the Ionians were defeated, he was a member of the embassy that sued for peace. He was the first known Greek historian[1] and the first to mention the Celts. What probably raised the ire of Heraclitus was his Genealogiai, an account of the traditions and myths of the Greeks. He opened this book with:

Hecataeus of Miletus thus speaks: I write what I deem true; for the stories of the Greeks are manifold and seem to me ridiculous.[2]

It seems that he was attempting to employ a critical method to separate history from myth, and for this Heraclitus suggests that he should be included with those who certainly had learned many things but just wasn’t getting it. My guess is that Heraclitus was condemning him for tossing the baby out with the bathwater.



Anaximenes 585 – 528 BC


Anaximenes

The last of the Milesian school was Anaximenes. Like his predecessors, he was a proponent of ‘material monism’ which identified one, single, underlying, material reality (fire, air, water, whatever) and which has been hailed as the earliest attempt to provide explanations for the world without recourse to anything supernatural, or non-material. This is seen today as the earliest physics along the line of approaching Quantum Theory with its atoms and quarks.

His predecessors, Thales and Anaximander, thought that the underlying material of the world was water and apeiron[3] respectively. Anaximenes had somewhat different ideas: he proposed that air was the primal matter. He observed that when air condenses by cooling, it becomes visible as fog and then rain and then snow. He just took that idea further and supposed that it went on to form earth and stones with more ‘condensing’. He also noticed that water evaporates into air and that very hot air ‘ignited’ and formed fire. So he divided things into ‘hot and dry’ and ‘cold and wet’. He thought that heavenly bodies were derived from Earth, that many earthly bodies lie in the regions of the stars, i.e. that the stars are a lot closer than they actually are. This suggests that a firm connection via observation had been made between the ‘terrestrial bodies’ and stars of some sort, probably comets and fireballs. Such a theory might have been created to explain meteorites which are often observed to fall directly from the sky, enveloped in a cloud of smoke. His reasoning probably went: ‘if they fell down, they must have evaporated up first’.

The Eleatic School

Xenophanes of Colophon 570 – 475 BC


Xenophanes

At about the same time that the Milesian school was flowering, the Eleatic school was founded in Colophon[4], another Ionian city, by Xenophanes, a satirist, poet, and social-religious critic. Supposedly Xenophanes began traveling at the age of 25 and continued to roam about until he was 92! According to some sources, he was infamous (and exiled!) for his attacks on ‘conventional military and athletic virtues of the time’. He ended his life in Sicily. He wrote his ideas in the form of poetry, criticizing Homer and Hesiod, saying that myths and such were more or less human projections. He wrote that:

Homer and Hesiod have attributed to the gods all sorts of things that are matters of reproach and censure among men: theft, adultery, and mutual deception.[5]

In short, his main beef seems to have been the anthropomorphizing of the gods or even thinking that there was any physical manifestation at all. Xenophanes claimed that “God is one, supreme among gods and men, and not like mortals in body or in mind.”[6] His conception of god was that s/he/it is abstract, universal, unchanging, immobile and always present; one eternal being, spherical in form, comprehending all things within himself, is intelligent and moves all things, but bears no resemblance to human nature either in body or mind. Because of his development of the concept of a ‘one god greatest among gods and men’, Xenophanes is often seen as one of the first monotheists in the Western philosophy of religion, although we notice that what he actually said was that this ‘greatest god’ was greatest over other gods.

He examined fossils and concluded that water must have covered the entire Earth at some point. That is, he actually used physical evidence as opposed to declaring ideas with nothing to back them up except ‘logic and reason’. He was one of the first during those times who tried to make a distinction between belief and knowledge. But then he shot himself in the foot by saying that you can know something but not really know it, suggesting that there were ‘deeper truths’ that you could ‘just know’ but have no evidence to prove.

Xenophanes was among the first to make the explicit claim that he was writing for future generations. Nevertheless, we notice that he, too, was on the short list of well-educated dummies according to Heraclitus, keeping company with Hesiod, whom he criticizes himself!

Xenophanes’ cosmology stated that heavenly bodies were transient structures, the result of cloudy exhalations of the Earth. This is similar to the picture of Anaximenes, but Xenophanes said that the clouds caught fire as they rose. We can see that this model can easily be used to explain any unexpected events in the heavens, which suggests that such events were not unknown at the time! But he had difficulty using it to explain the regular stars that were fixed in place, so he came up with the idea that they were extinguished every day and fired up the next from new exhalations being constantly produced by the Earth! In short, this was a purely atmospheric theory of stars designed to accommodate the fearful comets, suggesting that they were formed of clouds that caught fire. No wonder Heraclitus thought he belonged on that list.

Heraclitus 535 – 475


A bust of Heraclitus, from the Hall of Philosophers in the Capitoline Museum.

Now we come to Heraclitus: This is the guy who said that Hesiod, Pythagoras, Xenophanes and Hecataeus were well educated in certain respects, but in their analyses, apparently didn’t have a clue. He also thought that Homer and Archilochus[7] deserved to be beaten.[8] His exact words, as quoted by Diogenes were:

Much learning does not teach understanding; else would it have taught Hesiod and Pythagoras, or, again, Xenophanes and Hecataeus. … this one thing is wisdom, to understand thought, as that which guides all the world everywhere.[9]

He is certainly acknowledging the high level of learning of the named individuals, but he points out that it is “thought which guides the world everywhere.” This strikes me as being possibly a multi-layered remark. It could mean that thought, or ideas, are the substance of the universe. It could also, at the same time, mean that thought – how a man thinks, or how a civilization en masse thinks – determines what happens to him. We are reminded of the saying in Proverbs 23:7: “As a man thinketh in his heart, so is he.” Scaling this up to the global level seems to suggest that ‘as a civilization thinks/is, so the cosmos creates’. Another way of saying it is: men and nations do not attract what they want, but what they are; the soul attracts what it harbors in secret.

Let’s see if we can figure out what Heraclitus meant by a process of elimination. As we know now, the main thing about Pythagoras seems to be that he was a shamanic teacher of reincarnation and his view of the cosmos was possibly similar to that of Pherecydes, who wrote about the cosmic battles and the five (or seven) recesses which must have been constellations before constellations were described and refined. It seems possible that Pythagoras took this and converted it into some theory of purification a la Orphism unless that is a later astralization created by Plato. It might also have had something to do with the books of Pythagoras that were bought and utilized by Plato, which may have included a version of the story of Atlantis that Plato wrote in Timaeus and Critias.

Hesiod, of course, wrote all of that business about gods in some sort of Olympic world, a semi-real region that might be described as hypercosmic or hyperdimensional, but even if it was fanciful, it captured the action pretty well if one has comet science and the theories of Bailey, Clube and Napier in mind. Xenophanes, as we have just seen, obviously didn’t have a clue so we can agree with Heraclitus without much ado. Hecataeus wrote that the stories of the Greeks were ridiculous, which amounts to criticizing both Hesiod and Homer, who Heraclitus wants to beat with sticks, so how is it that he is included in the list? All of them wrote about the gods and the heavens, either from mythological points of view, or as rational attempts to explain away the supernatural, and both of these approaches were apparently condemned by Heraclitus. So what other options are left? I think it comes back to that last part of the statement: “this one thing is wisdom, to understand thought, as that which guides all the world everywhere.

Before we touch on the ideas of Heraclitus, I think a little background information on him is in order. He is known for the obscurity of his words and descriptions, and that may be due to certain issues that affected him. According to Diogenes, Heraclitus was a hereditary prince who abdicated in favor of his brother because he was expected to participate in government and refused, saying that politics was ponêra, or evil. He was self-taught and something of a real crank, which might be understandable considering the environment in which he lived, which we’ll be observing here and there as we go along. He eventually became so misanthropic that he wandered the hills like a madman eating grass and herbs. When he became ill with what was called dropsy, or severe edema, which was obviously evidence of some systemic failure, according to one source, he attempted to cure himself by packing his legs with cow manure and baking in the Sun. That experiment brought his life as a philosopher to an abrupt end. Before that fatal act, however, he wrote a book that became quite famous and was still available down to the time of Plutarch and Clement of Alexandria (150-215 AD). His philosophy was full of riddles and he was known as ‘The Weeping Philosopher’[10] because he was so depressed and negative all the time. That should give us pause when we consider that he said: “this one thing is wisdom, to understand thought, as that which guides all the world everywhere.” Maybe he saw something coming as a result of the thinking and behavior of humanity during his times? Theophrastus, quoted by Diogenes, suggests that it was melancholy that prevented him from finishing his works. No kidding!


Heraclitus painted as the weeping philosopher by Johannes Moreelse. c. 1630

Reading what little is available about him gives the impression of an incredible, sublime intellect that wasn’t quite grounded, but then, that is rather common for geniuses who really see. The question is: did he see anything useful and if so, do we have a clue what it was since I must repeat the usual refrain: nearly all of his works are lost.

Heraclitus proposed that the Universe contains a divine artisan-fire which foresees everything and, extending throughout the Universe, must produce everything via the unity of opposites: “the path up and down are one and the same.”[11] [12] This ‘divine fire’ later very much attracted Zeno, the founder of Stoicism, but what it suggests to me is electricity or, more precisely, plasma. It could also be what is called the quantum vacuum, but not simply a physical one. His ideas have the taste of something rather like ‘Chi’ or even Reich’s ‘orgone energy’.

This divine fire, or aether, is also ‘logos’ – that is, the basis for all activity in the Universe; it is both the source of passive matter, and the artisan creating with, and enlivening it, which neither increases nor diminishes itself.[13] His cryptic words that “all entities come into being in accordance with this Logos” has been the subject of endless speculation.

In addition to seeing it as the most fundamental of the four elements and the one that is quantified and determines the quantity (Cosmic Mind) of the other three, he presents fire as the cosmos, which was not made by any of the gods or men, but “was and is and ever shall be ever-living fire.” I don’t know about you, but that gives me chills! For Heraclitus, fire is both a substance and a motivator of change, it is active in altering other things quantitatively and performing an activity Heraclitus describes as “the judging and convicting of all things.” (If that’s true, our civilization is in big trouble!) It is “the thunderbolt that steers the course of all things.” There is no reason to interpret the judgment, which is actually ‘to separate’ (as in wheat from tares, sheep from goats, etc.), outside of the context of “strife is justice.”[14] His term ‘strife’ had a special meaning as the conflict/unity between opposites. What is intriguing is his apparent allusion to the idea that the cosmos itself can respond to humankind with “the thunderbolt” that steers all things. In an interesting way, this connects us to the ideas of Fred Hoyle and Chandra Wickramasinghe, who proposed that life was brought to Earth by comets, i.e. panspermia.

He had some other very advanced ideas that are common currency in modern physics. Heraclitus is famous for insisting that the universe is all about change. He said, “No man ever steps in the same river twice.” If objects are new from moment to moment so that one can never touch the same object twice, then each object must dissolve and be generated continually moment by moment. That reaches right down into Quantum Theory and possibly beyond. No wonder the guy was wandering the hills like a madman!

In respect of ethics, Heraclitus declared that people should not live according to their own judgment but to find out and follow the divine law. His concept of god didn’t include any manifestations of what humans would call justice. That is, humans are neither made in the image of God nor is God particularly interested in them individually or as a whole. “To God all things are fair and good and just, but people hold some things wrong and some right.”[15] God’s ways are wise, but human customs are foolish.[16] At the same time, both humans and God are childish (inexperienced): “human opinions are children’s toys” and “Eternity is a child moving counters in a game; the kingly power is a child’s.”[17] Wisdom is “to know the thought by which all things are steered through all things,”[18] which must not imply that people are or can be wise. Only Zeus, the wielder of the thunderbolt, is wise.[19]

Some scholars see all of this as mysticism, but clearly it is not: it is pure physics, though the terminology is archaic. And certainly, his mental state was affected by seeing these things and thinking these thoughts because he also declared in despair, “The fairest universe is but a heap of rubbish piled up at random.”[20]

I think that, in the above, we find the cranky reason that Heraclitus made his list of idiots; he made it clear when he said the universe was not made by any of the gods or men, but “was and is and ever shall be ever-living fire.” No wonder the guy was melancholy and had nobody to talk to! That’s an idea that is hardly comprehensible to the average person even in today’s world when people still have to have a creator (whether it’s an old bearded guy or the ‘god’ of evolution who set off the Big Bang is immaterial) to blame for things existing. Not only that, his ideas would be almost impossible for a mind living at that time to even bear. To me, what Heraclitus was saying sounds rather like an early version of Information Theory combing with a plasma cosmos![21]  

In any event, Diogenes tells us that his treatise On Nature was divided into three discourses, one on the universe, another on politics, and a third on theology. He deposited the book in the temple of Artemis and, “according to some, made it the more obscure in order that none but adepts should approach it.” This book is going to come back to haunt us. 


Heraclitus (name outlined in red) in a fragment of the Oxyrhynchus Papyri, discussing the Moon.

A modern reconstruction of the Ephesian Temple of Artemis, located in Istanbul, where, according to Diogenes Laertius, Heraclitus deposited his book. 






[1] Herodotus’ dates for comparison: c. 484 – 425 BC.

[2] Shotwell (1939) The History of History, p. 172.

[3] An ambiguous word meaning unlimited, infinite or indefinite. From a word meaning ‘without end or limit’.

[4] According to Apollodorus and Proclus, the mythical seer Calchas died at Colophon after the end of the Trojan War. Strabo names Clarus as the place of his death, which would later be a cult center in the territory of Colophon. An oracle had it that he would die when he would meet a better seer than himself. As Calchas and the other heroes on their way home from Troy came upon the seer Mopsus in Colophon, the two competed in their mantic qualities. Calchas couldn't equal Mopsus’ skills as a seer, being a son of Apollo and Manto, so he died. In Greek antiquity two sons of Codrus, King of Athens, established a colony there. It was the birthplace of the philosopher Xenophanes and the poet Mimnermus.

[5] Diels & Kranz (1951) Die Fragmente der Vorsokratiker, Xenophanes.

[6] Zeller, Vorsokrastische Philosophie, p. 530, n. 3.

[7] Greek lyric poet from the island of Paros in the Archaic period. He is celebrated for his “versatile and innovative use of poetic meters and as the earliest known Greek author to compose almost entirely on the theme of his own emotions and experiences.” From Brown (1997), Introduction to Gerber’s A companion to the Greek Lyric Poets, p. 49.

[8] Aristotle, Rhetoric 3.17.14 18b 28.

[9] Diogenes Laertius, Lives, IX, 1.

[10] The main source for the life of Heraclitus is Diogenes Laërtius, although some have questioned the validity of his account.

[11] Diogenes Laërtius, vii. 148.

[12] Sextus Empiricus, adv. Math. ix. 104, 101; Cicero, de Natura Deorum, ii. 8.

[13] Cicero, de Natura Deorum, ii. 9, iii. 14.

[14] Diels-Kranz (1951) Die Fragmente der Vorsokratiker.

[15] DK (Diels-Kranz) B51

[16] DK B78.

[17] DK B70; DK B52.

[18] DK B41.

[19] DK B32.

[20] DK B124.

[21] A branch of applied mathematics, electrical engineering and computer science involving the quantification of information.


To be continued


P.S.1 (A.J) "... the universe is all about change...". That is certainly true. "Processes" and "morphisms" are extremely important. Perhaps even more important than "objects" themselves. But in human interactions one has to be very careful about changes. One must be careful when applying the "forgetful functor". Consider, for instance, this, based undoubtedly on personal experience,  warning:


P.S.2. 01-08-23 (A.J) Inserted Sec. 7.6 to the file"Notes on Conformal Group"

P.S.3 (A.J) Just received by email: "Despite vast detailed knowledge of the brain, neuroscience cannot 1) explain consciousness, memory, binding nor real time conscious action, 2) effectively treat Alzheimer’s or other brain disorders, or 3) define our place in the universe. Why not? Oversimplified cartoon neurons." More here: Neuroscience Needs a Revolution to Understand Consciousness

Friday, July 28, 2023

The Cosmic Context of Greek Philosophy. Part Five

by Laura Knight-Jadczyk

The Agenda of the Milesian School

In 1997, William Mullen, Professor of Classical Studies at Bard College, gave a conference talk entitled: Natural Catastrophes during Bronze Age Civilisation in which he outlined what he saw as the Agenda of the Milesian School.

Topics held in common by the first three pre-Socratic philosophers from Miletos in the Sixth Century B.C.E., Thales, Anaximander, and Anaximenes, and by Xenophanes[1] from neighbouring Colophon, taken together may be viewed as constituting the agenda of a "Milesian School".

The agenda included a survey of the known kosmos (the orderly arrangement of the inhabited world surrounded by regularly moving heavenly bodies); redefinitions of divinity; and theories of the natural processes, constantly in operation, by which both kosmos and divinity are to be understood. It also included explanations of phenomena most men deemed terrifying: thunder, lightning, earthquakes, eclipses, and periodic destruction of the kosmos itself. It set about to explain these phenomena in terms of the same elemental processes (transformations of water, rarefaction and condensation of air, separating out of fire, air, water and earth, periodic reabsorption of these elements into a state of dynamic equilibrium) as it invoked to explain the orderly arrangement of the earth and the heavenly bodies. In so doing, it implied the baselessness of the traditional Olympian religion which attributed lightning and earthquakes to whims of Zeus and Poseidon and world-destructions to battles of the sky-gods. 

The ultimate Milesian agenda may therefore have been to liberate people from paralysing fear of the immediate recurrence of celestial disturbances in the recent past. By insisting that world-destructions occurred only in vast cycles of time (such as a "great year" whose winter solstice was Deluge and summer solstice Conflagration) the Milesian School was schematically distorting memories of recent disturbances, and its activity may be seen as part of a general pattern of oblivion and psychological distancing common to all cultures after the end of the Bronze Age catastrophes. But by insisting that these world-destructions occurred only as the result of unalterable elemental processes, it was also erecting a proto-scientific bulwark against apocalyptic thinking and behavior.[2]

So, indeed, it may have been a conscious program to quell the disorder that inevitably arose when comets appeared, which suggests that comets were, indeed, appearing with some regularity, though they were no longer as threatening as they had been in the previous era of mass destruction. Nevertheless, the philosophers of the Milesian school lived in very interesting times. The period of time during which they philosophized dated (roughly) from 630-475 BC. Recall our catalogue of historical comet sightings[3] from above which I’ll repeat here:

633 BC, China: A broom star comet appeared in Auriga with its tail pointing toward Shhu State. (Ho, 4)

613 BC, Autumn, China: A broom star comet entered the constellation of the Great Bear. (Ho, 5)

532 BC, Spring, China: A new star was seen in Aquarius. (Ho, 6)

525 BC, Winter, China: A bushy star comet appeared in the winter near Antares. (Ho, 7)

516 BC, China: A broom star comet appeared. (Ho, 8)

500 BC, China: A broom star comet was seen. (Ho, 9)

482 BC, Winter, China: A bushy star comet appeared in the east. (Ho, 10)

481 BC, Winter, China: A bushy star comet was seen. (Ho, 11)

480 BC, Greece: At the time of the Greek battle of Salamis, Pliny noted that a comet, shaped like a horn (ceratias type), was seen. (Barrett, 1)

So keep that in mind as you consider the details of these philosophers’ lives.

Thales 624 – 548 BC

The earliest blossoming of Greek science following the Dark Age that prevailed after the collapse of the Bronze Age is associated with the Ionian or Milesian school located at Miletus, on the Western coast of Anatolia, in what is modern day Turkey. During the 6th century BC, it was considered to be the greatest and wealthiest Greek city even though it was not in Greece proper. This city, formerly occupied by speakers of an Indo-European language, Luwian (closely related to Hittite), who disappeared in the collapse of the Bronze Age, was said to have been resettled by Ionian Greeks around 1000 BC. Please notice that Ionia really isn’t Greece. So it looks like ‘Greek Civilization’ as we know it actually belongs to Anatolia, and only later did they colonize Greece, proper. That, of course, doesn’t mean that there weren’t connections between the Mycenaean Greeks and the Ionians; perhaps some of them fled Greece to Anatolia during the disruptions. It might even be thought that the Thracians were the remnant of the Mycenaean Greeks. We do know that there was intellectual discourse taking place in Greece, proper, i.e. Homer, Hesiod, Alcman and Pherecydes, and that it was somewhat different from what was going on in Anatolia.

In any event, Thales founded a school at Miletus (Diogenes tells us that his parents were Phoenician, so even he was not Greek) around 600 BCE, that was destined to be the root of ‘Greek art and philosophy’. Thales taught that the Earth was a flat disc or short cylinder floating on a vast primordial ocean of sorts. His main agenda seemed to be to explain natural phenomena without involving mythology. As we will see, almost all of the pre-Socratic philosophers followed this trend.

Thales is hailed as the first true mathematician because he used geometry to calculate such things as the height of pyramids and the distance of ships from the shore. According to Herodotus, Thales predicted a solar eclipse which has been determined to have occurred on May 28th, 595 BCE. (The same time Epimenides was heading to Athens to save them from a plague.) He supposedly wrote works concerning the solstices and equinoxes, but nothing has survived. Diogenes apparently had some texts to hand because he quotes letters of Thales to Pherecydes and Solon. In these letters, he states that the Milesians were actually Athenians, which suggests that they were refugees from Greece.

Thales was apparently into making weather predictions based on his studies and utilizing his accuracy in this respect to make the point that philosophy wasn’t a waste of time. He also engaged in political life. It was in the context of the military defense of the region against the Persians that he made his solar eclipse prediction. Apparently, it was so impressive that the two peoples laid down their arms and made peace sworn with a blood oath!

Thales was counted among the ‘Seven Sages of Greece’, a list made up (obviously) sometime after all of them were dead. According to Demetrius Phalereus, the list of honorees was made up about 582/1 BC. Dicaearchus of Messina[4] (350-285 BC) commented that none of them were either sages or philosophers, but merely shrewd men with a turn for legislation. That suggests even more strongly that their ideas were driven by a need for political stability and to change the way the public perceived the relationship between the leaders and the cosmos. A parallel (and complementary) perspective is that Thales and his colleagues represented a new kind of community: one that inquires into the nature of things without recourse to the ‘old ways and explanations’. They were possessed by the ideal of Truth, so to say.


Thales profoundly influenced later philosophy, and we are told that his student was Anaximander, who was alleged to be one of the teachers of Pythagoras. As we will see, not all of these philosophers thought the same things. This age is often referred to as the ‘Axial Age’ and it is notable for the fact that revolutionary thinking arose in widely separated places at the same time: China, India, Iran, the Near East, and so on. One really gets the idea that something about the environment had changed dramatically since the cosmic and environmental cataclysms at the end of the Bronze Age.



Anaximander 610 – 545 BC

Thales was followed by Anaximander, who is thought to have introduced the sundial to the Greeks, which he got from the Babylonians. He also drew a map of the inhabited world. He claimed that nature, like human societies, is ruled by laws and anything that breaks natural laws suffers repercussions. Right there we have a hint of his interest in power politics and social control.

Anaximander thought that everything was derived from some undifferentiated living mass (as opposed to the primordial ocean). Things just grew out of this ‘cosmic egg’, the first four things being fire, air, water and earth. This cosmology partly resembles modern cosmological theories such as the Big Bang.

Anaximander proposed that air or denser vapors would have burst out of fiery surrounding membranes, and then enveloped the remaining flames, producing wheels of fire enclosed in mist. These enveloped wheels of fire then encircled the Earth. Planets and stars were circular wheels of fire which became visible due to holes in the enclosing hoops (globes?) that permitted the fire to ‘leak out’. That is, Anaximander’s cosmic bodies were rather like lighted jets of gas shooting through a punctured sheet of metal.

Anaximander taught that the world was transitory and would eventually dissolve back into infinite space (the ‘Big Crunch’). He also said that there were many worlds, which he identified with the gods who were also transitory and renewable. He associated this dissolution and renewal with definite cycles and this strongly suggests influence from Iranian/Persian cosmology and, possibly, study of comets.

An important point about Anaximander’s cosmology was his insistence that the hoops-with-holes, that were supposed to be ‘stars’, all lay beneath the Sun and Moon. This idea has puzzled many commentators, but it might be understood if Anaximander was actually talking about comets or even fireballs in the Earth’s atmosphere. Intense meteor showers associated with a bright comet would easily give the impression that the stars lay below the Sun and Moon.

We can, of course, ask the question: was the Greek word for ‘star’ used to describe a single class of objects? The fact that some stars were described as disappearing due to their increasing distance from the viewer on Earth suggests that some of these ‘stars’ were actually comets.

Important to our study is the fact that the 3rd century Roman rhetorician Aelian claims that Anaximander was the leader of the Milesian colony to Apollonia on the Black Sea coast. Aelian’s Various History[5] tells us that philosophers often dealt with political matters. Most scholars suppose that leaders of Miletus sent him there as a legislator to create a constitution or simply to maintain the colony’s allegiance. But we are reminded of the comment of Dicaearchus cited above: that these really weren’t philosophers, but shrewd men with political agendas and I will make note (as I have already) of those who appear to have had political connections.

If they were, truly, philosophers and, by some miracle, the powers of the time saw wise men as useful in government, one is still compelled by the idea that there was a political agenda to giving philosophers of this orientation such roles so as to establish and maintain certain ideas in respect of the cosmos for political reasons, as Ballie, Clube and Napier suggest. Is it even possible that leaders of those times could sit down and consciously decide that ‘this business about comets being gods needs to be dealt with since it threatens the control of the rulers’? It would probably have been clear that it did, in fact, threaten them because the ‘old way’ had been to sacrifice the leaders if it was perceived that the gods were angry or hungry.



Pythagoras – The Italian School

Pythagoras of Samos (570-495 BC) was the founder of the religious movement called Pythagoreanism. Let me first tell you the briefest outline of the story about him before we get to the actual facts, as far as we can find them out.

Pythagoras was born on the Greek island Samos and traveled widely seeking knowledge. He had himself initiated into all of the mystery schools in Greece and foreign countries. He learned the Egyptian language and journeyed to the lands of the Chaldeans and Magi. Then, in Crete, he went into the cave of Ida with Epimenides where the baby Zeus was said to have been hidden from his father, Chronos. After all that, he returned to Samos and found his country under the rule of a tyrant, Polycrates, so he sailed to Croton[6] (about 530 BCE) and there, became a leader who created a constitution for the Italian Greeks. He and his 300 followers thereby instituted a ‘true aristocracy’ or government by the best qualified (as Diogenes puts it). According to other sources, when Polycrates effected his coup at Samos, members of the old aristocracy were either sent into exile or voluntarily left. Otherwise, Polycrates was said to have been a very popular ruler who worked hard to improve the quality of life of the people of Samos. He was an ally of the Egyptian king Amasis who paid the Samians well to maintain naval defense in the region.

Diogenes quotes Heraclitus in refutation of the idea that Pythagoras left no writings:

Pythagoras, son of Mnesarchus, practiced inquiry beyond all other men, and in this selection of his writings made himself a wisdom of his own, showing much learning but poor workmanship.[7]

He then goes on to say that Pythagoras wrote three books: On Education, On Statesmanship, and On Nature. Then he mentions that Aristoxenus said that Pythagoras derived his moral doctrines from the Delphic priestess, Themistoclea. In short, at least one of his teachers was a woman. Diogenes then enumerates the teachings of Pythagoras from the three books as follows:

He forbids us to pray for ourselves, because we do not know what will help us. Drinking he calls, in a word, a snare, and he discountenances all excess, saying that no one should go beyond due proportion either in drinking or in eating. Of sexual indulgence, too, he says, “Keep to the winter for sexual pleasures, in summer abstain; they are less harmful in autumn and spring, but they are always harmful and not conducive to health.” Asked once when a man should consort with a woman, he replied, “when you want to lose what strength you have ...”


The following are excerpts from Diogenes’ Life of Pythagoras.

According to Timaeus[8], he was first to say “Friends have all things in common”… indeed, his disciples did put all their possessions into one common stock …

Indeed, and his disciples held the opinion about him that he was Apollo come down from the far north …

This is interesting considering other clues that Pythagoras’ (and Pherecydes) ideas had a more northern origin.

We are told by Apollodorus the calculator that he offered a sacrifice of oxen on finding that in a right-angled triangle the square on the hypotenuse is equal to the squares on the sides containing the right angle. …

Apollodorus, surnamed Logisticus (the Calculator), may have been Apollodorus of Seleucis, a Stoic philosopher and pupil of Diogenes of Babylon. He wrote on ethics and physics and is otherwise frequently cited by Diogenes Laërtius. Cicero comments on this statement, saying that he does not question the discovery, but doubts the story of the sacrifice of the ox.

He is also said to have been the first to diet athletes on meat, trying first with Eurymenes – so we learn from Favorinus[9] in the third book of his Memorabilia – whereas in former times they had trained on dried figs, on butter (cheese), and even on wheat-meal… some say it was a certain trainer named Pythagoras who instituted this diet, and not our Pythagoras, who forbade even the killing, let alone the eating, of animals… as we are told by Aristotle…

Here we have a little difference of opinion on the dietary matter. I would suggest that, if it is true that Pythagoras was strongly influenced by northern teachings, he most certainly advocated the eating of meat strongly and it was only later mythmakers who created the vegetarian fraud. In fact, it is most likely that the life and doings of Empedocles, a philosopher cum religious prophet born in Sicily about 490 BCE, was conflated with Pythagoras.

Like Epimenides, Empedocles was reputed to have miraculous powers such as the ability to cure disease, avert epidemics, control storms, etc. He wrote in verse and one of his poems is entitled Purifications and seems to have promised miraculous powers, rejuvenation, destruction of evil, etc. He was associated with various Pythagoreans, and his abstinence from meat was widely known. He also claimed to be a god incarnate. His doctrine of the four elements remained fundamental for the theory of matter for more than twenty centuries. In this we see that the dual role of a religious prophet and a mathematical philosopher that the tradition assigns to Pythagoras is certainly possible – even a common topos of the time – but not necessarily historical.

Down to the time of Philolaus it was not possible to acquire knowledge of any Pythagorean doctrine and Philolaus alone brought out those three celebrated books which Plato sent a hundred minas to purchase. Not less than six hundred persons went to his evening lectures; and those who were privileged to see him wrote to their friends congratulating themselves on a great piece of good fortune …

Here we discover something crucially interesting: that the alleged books of Pythagoras were placed into the hands of none other than Plato! And, we can’t be certain that Philolaus didn’t write them himself!

The rest of the Pythagoreans used to say that not all his doctrines were for all men to hear, our authority for this being Aristoxenus in the tenth book of his Rules of Pedagogy

This next excerpt is particularly interesting in light of the diet issue:

Above all, he forbade as food red mullet and blacktail, and he enjoined abstinence from the hearts of animals and from beans and sometimes, according to Aristotle, even from paunch and gurnard (two types of fish) …

Obviously, if his students are warned not to eat the hearts of animals, that is an explicit acknowledgement that they were eating the rest of the animal as is confirmed by the following:

He used to practice divination by sounds or voices and by auguries, never by burnt-offerings, beyond frankincense … some say that he would offer cocks, sucking goats and porkers… but lambs, never. However, Aristoxenus has it that he consented to the eating of all other animals, and only abstained from ploughing oxen and rams …

Diogenes cites Aristotle:

Aristotle says, in his work On the Pythagoreans, that Pythagoras enjoined abstention from beans either because they are like the privy parts, or because they are like the gates of Hades (for this is the only plant that has no joints), or because they are destructive, or because they are like the nature of the universe, or because they are oligarchical (being used in the choice of rulers by lot). Things that fall from the table they were told not to pick up – to accustom them to eating with moderation, or because such things marked the death of someone. And Aristophanes, too, says that the things that fall belong to the heroes, when in his Heroes he urges: ‘Do not taste what falls inside the table.’ They must not touch a white cock, because this animal is sacred to the Month and is a suppliant, and supplication is a good thing. The cock was sacred to the Month because it announces the hours; also, white is of the nature of the good, black of the nature of the bad. They were not to touch any fish that was sacred, since it was not right that the same dishes should be served to gods and to men, any more than they should to freemen and to slaves. They must not break the loaf (because in old times friends met over a single loaf, as barbarians do to this day), nor must they divide the loaf which brings them together. Others explain the rule by reference to the judgment in Hades; others say that dividing the loaf would produce cowardice in war; others explain that it is from the loaf that the universe starts.[10]

The first thing to point out is that none of these rules enjoin vegetarianism. There is, in fact, no 5th century evidence whatsoever that the Pythagoreans renounced animal sacrifice and the subsequent eating of the sacrifice. In fact, since the focal point of the Greek polis, in which Pythagoras and his followers played such a leading role for several generations, was the regular public sacrifice and feasting, is a powerful implication that they were not, at all, in any way, vegetarians. The evidence for Pythagoras being a meat eater are more numerous, and older, than the evidence for vegetarianism which seems to be both a conflation with Empedocles and a consequence of the later Platonic myths.

Hieronymus … says that, when he [Pythagoras] had descended into Hades, he saw the soul of Hesiod bound fast to a brazen pillar and gibbering, and the soul of Homer hung on a tree with serpents writhing about it, this being their punishment for what they had said about the gods; he also saw under torture those who would not remain faithful to their wives.

According to Diogenes, this is what Aristotle said about Pythagoras at one point:

But Pythagoras’ great dignity not even Timon[11] overlooked, who, although he digs at him in his Silloi, speaks of: Pythagoras, inclined to witching works and ways, Man-snarer, fond of noble periphrase. …

Further, we are told that he was the first to call the heaven the universe and the earth spherical (according to Favorinus), though Theophrastus says it was Parmenides, and Zeno that it was Hesiod.[12]

The spherical Earth was actually first asserted in the work of Parmenides and Empedocles while the Ionian school continued with their flat-earth theories for a rather long time.

Allegedly, Pythagoras followers practiced rites developed by him based on what he had learned and developed via his travels and studies. What is more, the Pythagoreans took an active role in the politics of Croton and this is what led to their downfall, apparently. The Pythagorean meeting places were burned and Pythagoras and his followers were forced to flee and he is said to have ended his days in Metapontum, not far from Tarentum, which will figure in our tale shortly.

As we see from this very quick review of a few of the things Diogenes collected together, Pythagoras is presented in a vast body of literature as the genius of marvels, the inventor of mathematics, music theory, heliocentric astronomy, and metaphysical philosophy. The 20th century philosopher, Alfred North Whitehead sang paeans of praise about Pythagoras. But the sources closest in time to the man (who certainly existed) are satirical, mildly insulting, or completely ambiguous. So why did the figure of Pythagoras accumulate so much baggage so that, even down to the time of the Renaissance, there were people claiming to be 'followers of Pythagoras'?

The Pythagoreans are said to have taught that a release from the wheel of reincarnation was possible but only via a process of purification of the soul including a vegetarian diet (which was probably not true). Aristoxenus said that they also used music to purify the soul just like medicine was used to purge the body, a likely Orphic connection. Pythagoras was said to have proclaimed that the highest purification of a life is in pure contemplation. It is the philosopher who contemplates about science and mathematics who is released from the ‘cycle of birth’. The pure mathematician’s life is, according to the tradition created for Pythagoras, the life at the highest plane of existence.[13] [14] Thus the root of mathematics and scientific pursuits in Pythagoreanism is also based on a spiritual desire to free oneself from the cycle of birth and death.

It’s a great story, isn’t it? I didn’t even include all the miracle parts, including the one telling how Pythagoras had a golden thigh, could bi-locate, and so forth. So what is true? Well, let’s look at the evidence, starting with a rather surprising remark made by Heraclitus and preserved by Diogenes:

The learning of many things does not teach understanding; if it did, it would have taught Hesiod and Pythagoras, and again Xenophanes and Hecataeus.[15]

Empedocles wrote, preserved in Porphyry’s Life of Pythagoras, as follows:

And there was among them a man of surpassing knowledge, master especially of all kinds of wise works, who had acquired the utmost wealth of understanding: for whenever he reached out with all his understanding, easily he saw each of all the things that are, in ten and even twenty generations of men.[16]

The impression that Empedocles gives is that Pythagoras’ methods were most definitely not mathematical or scientific! But that he was widely perceived as a seeker and having a great range of knowledge and extraordinary influence over people appears to be a secure fact.

Diogenes Laërtius reports that Xenophanes had this to say about Pythagoras:

Now I will turn to another tale and show the way… Once they say that he [Pythagoras] was passing by when a puppy was being whipped, and he took pity and said: “Stop, do not beat it; for it is the soul of a friend that I recognized when I heard it giving tongue.”[17]

Obviously, this is a joke made by Xenophanes with Pythagoras as the butt of it. In any event, that the teaching of reincarnation by Pythagoras was widely enough known to be the topic of ordinary conversation – and even jokes – makes that something that we can securely attach to him.

Additional evidence provides a weak connection between Pythagoras and the Orphic Mysteries. Orphism appears to have been mainly a system of purification that was practiced privately at that time, while the Pythagoreans definitely formed a very secretive sect. The Orphics taught that the body was a prison, a tomb, in which the soul is buried until it finds or earns its way out. Their methods were designed to purify and release men and cities from their errors. They neither ate nor sacrificed animals and taught complete avoidance of bloodshed. The later Orphic poems seem to imply that certain behaviors could forestall, avoid, or end cosmic punishment. (I suspect that Orphism had very little to do with anyone named Orpheus.) But were Orphic practices and concepts part of the original Pythagorean ideas, or were they simply connected thanks to Plato?

Next we have a quote from Porphyry, the 3rd century CE Neoplatonic philosopher of Phoenician extraction:

What he said to his associates, nobody can say for certain, for silence with them was of no ordinary kind. Nonetheless the following became universally known: first, that he maintains that the soul is immortal; next, that it changes into other kinds of living things; also that events recur in certain cycles, and that nothing is ever absolutely new; and finally, that all living things should be regarded as akin. Pythagoras seems to have been the first to bring these beliefs into Greece.[18]

It could be said that a lot of historically worthless literature about him began, mainly, with Plato. It seems that he, and his followers, radically altered not only accounts of the life of Pythagoras, but actually invented doctrines and assigned them to him. One expert suggests that “all the discoveries attributed to Pythagoras himself, or to his disciples by later writers were really the achievement of certain South Italian mathematicians of Plato’s time.”[19] What is more, it wasn’t until after Plato spent time with Archytas at Tarentum that his formerly rather cool view of Pythagoras warmed up, and this can be definitely noted in his dialogues, as analyzed by Charles Kahn in Pythagoras and the Pythagoreans.[20] There are surviving fragments from the work of Archytas that strongly suggest that it was he, not Pythagoras, who formulated many of the scientific and mathematical ideas attributed to Pythagoras by Plato. Perhaps Plato was jealous of Archytas, stole his ideas, and attributed them to Pythagoras with the idea that, of course, everyone would know that it was all him, only he was so modest! Or he sought to attach his ideas to someone who everyone else held in awe which was rather common in ancient times.


The main players in the Phaedo are represented by Plato as a sort of link between the Pythagoreans and Socrates.[21] The implication is that Plato set a fashion of presenting his newest theories as age-old wisdom. While he may have done it more or less playfully, as some suggest, assuming that everyone would naturally understand that he was being modest, but that in reality he, of course, thought all this stuff up, it appears that his students and followers took him literally. Two of his students in particular, Speusippus and Xenocrates, took him very seriously and treated the cosmology of the Timaeus as the teaching of Pythagoras, which may have been partly true.[22] Walter Burkert, in a massive monograph on the subject published in 1962 (translated into English in 1972), says that the evidence shows only that Pythagoras was a shamanistic figure, a charismatic spiritual leader rather like Moses, who was very influential in the politics of his day but contributed nothing whatsoever to mathematics or philosophy.[23] All that we know of ‘Pythagoreanism’ was created later by Plato and others.

Thus it was right there, in Plato’s Academy, that the twisting and distortion of the work of Pythagoras was formulated. Aristotle, Plato’s student, vigorously resisted this development and spent some time carefully studying Philolaus and the pre-Plato Pythagorean system. Aristotle became the last author to draw a distinction between the two schools.


At the beginning of the 4th century there was another refugee from the conflict in Southern Italy who came to Thebes: Lysis of Tarentum. He became the teacher of the general Epaminondas. So there were respectable Pythagorean communities from which Plato could both extract ideas as well as influence with his possession of the inside scoop on what Pythagoras actually said, since he allegedly had possession of the three books.

There is another type of Pythagorean represented by Diodorus of Aspendus in Asia Minor, a 4th century BCE ascetic vegetarian who was described as having long hair, long beard, worn cloak, a beggar’s wallet and staff.[24] Also, in Athens at the same time, there were barefoot vegetarians who were mocked in comedy skits as ‘Pythagorists’. In other words, the barefoot vegetarian Pythagorean is a post-Plato appearance of half-crazed mendicant philosophers that were little more than comic figures of the time and were used to attack Pythagoras. This lifestyle was actually taken over later by the Cynics, and after their appearance there are no further references to Pythagoreans in this light; the Cynics are the comic relief! It appears to be a fairly typical response of social and political power structures to ridicule and defame their critics. Thus, we should pay attention to whether a particular philosopher was on the side of the power elite, or a critic thereof. Such an observation won’t necessarily say anything about their philosophies or cosmologies, but it could, especially when we notice whose work has been ‘lost’ and whose has been preserved.

As mentioned, after Plato got hold of a few ideas, and stole many others from wherever he could get them, the two central ideas of Pythagoreanism become 1) the destiny of the immortal soul as expounded by Plato; and 2) mathematics as the key to unlock the secrets of the universe. This last was, I believe, his own spin and a red herring put out there to keep generations of seekers spinning in circles trying to work out the right formula. It was in Plato’s imagination that mathematics enabled a soul to become free and only in his mind do these ideas reach their culmination.


Of this massive mess, only three sources seem to have anything to offer us: Diogenes Laërtius, Porphyry and Iamblichus, in that order, with each one giving an account that is more fantastic than the previous one. Eduard Zeller, in his 19th century history of Greek philosophy, noted that the further a document is from Pythagoras’ own time, the fuller the account becomes![25] These histories amount mainly to cut and paste compilations from the Christianizing era which followed Plato, and contain a lot of nonsense, but they also include summaries of fairly early traditions about Pythagoras to which they still had access.

The invented tradition of Plato tells us that the school of Pythagoras split at some point and one group followed the more mathematical line, extending the scientific work of Pythagoras. The other group focused on the more religious aspects, declaring that the ‘scientific’ breakaway group was not really following Pythagoras, but rather the renegade Hippasus,[26] about whom very little is known. Iamblichus says about Hippasus:

It is related to Hippasus that he was a Pythagorean, and that, owing to his being the first to publish and describe the sphere from the twelve pentagons, he perished at sea for his impiety, but he received credit for the discovery, though really it all belonged to HIM (for in this way they refer to Pythagoras, and they do not call him by his name).[27]


The more scientific ideas appear to be those of Philolaus, who developed the work of Anaximander of the Milesian school who – along with Pherecydes – was also said to be one of the teachers of Pythagoras. Why are we not surprised?  Philolaus argued that at the foundation of everything is the part played by the limiting and limitless, which combine in a harmony. He said that the Earth was not the center of the universe, and thus he is credited with the earliest known discussion of heliocentrism. Philolaus described a Central Fire as the center of the universe and that spheres (including the Sun) revolved around it.  According to Plato's Phaedo, he was the instructor of Simmias and Cebes at Thebes, around the time the Phaedo takes place, in 399 BC. That would make him a contemporary of Socrates, and would agree with the statement that Philolaus and Democritus were contemporaries.[28]

The idea most central to Pythagorean mystical teachings was the transmigration of souls which was an idea that was actually native to India and to the Celts and related Germanic tribes (all three of which had their origins in the steppes of central Asia). Much of the Pythagorean mysticism concerning the soul seems similar to the Orphic tradition. The Orphics included various purification rites and practices as well as incubatory rites of descent into the underworld, which bring to mind Central Asian Shamanism. Orphism was said to have originated in Thrace which brings us to the following story from Herodotus:

As I have heard from the Greeks who live on the Hellespont and the Black Sea, this Salmoxis was a man, who was a slave in Samos, the slave in fact of Pythagoras son of Mnesarchus… The Thracians lived a miserable life and were not very intelligent, whereas this Salmoxis knew the Ionian way of life and minds deeper than the Thracians’, since he had associated with Greeks and among Greeks with Pythagoras, not the weakest of their wise men. So he [Salmoxis] built a hall in which he received and entertained the leading citizens, and taught them that neither he nor his guests nor any of their descendants would die, but that they would go to a place where they would survive forever and possess every good thing.[29]

This story of Herodotus’ is quite intriguing since Salmoxis, or Zalmoxis, is a divinity of the Getae[30] mentioned by Jordanes.[31] He is saying that he heard from Greeks in Western Anatolia that a certain Salmoxis, who was a former slave of Pythagoras, was hoodwinking the poor, ignorant Thracians.  I’m wondering if this is a hint of the source of Pythagoras’ ideas about reincarnation: that he gathered them from Gothic/Alanic tribes to the north or even along the Black Sea coast?

The archaism of the Salmoxis doctrine (which I omit here) points to an Indo-European heritage.[32] Diogenes reports in an epitome of Aristotle’s Magicus that Aristotle compared Zalmoxis with the Phoenician Okhon and the Libyan Atlas. Anthropologist Andrei Anamenski suggests that Zalmoxis was another name of Sabazius, the Thracian Dionysus, or Zeus. Sabazius appears in Jordanes as Gebelezis. Without the suffixes -zius/-zis, the root Saba- is equivalent to Gebele-, suggesting a relationship to the name of the goddess Cybele, as in ‘Cybele’s Zeus’. Mnaseas of Patrae identified him with Chronos. Plato mentions Zalmoxis as skilled in the arts of incantation. Zalmoxis also gave his name to a particular type of singing and dancing, i.e. ‘Hesych’, which is a word meaning ‘to be still or quiet’ and is used to describe a mystical sect of the Greek Orthodox Church of the 14th century. (One naturally wonders how a person can sing and dance being still and quiet?!) A curious connection indeed. Salmoxis’ realm as a god is not very clear, as some considered him to be a sky-god, a god of the dead or a god of the Mysteries.[33] All of this merely suggests a northern version of the same old cosmic catastrophe stories and myths but possibly with a cleaner transmission.

Lactantius (240-320 CE), referring to the beliefs of the Getae, quoted the emperor Julian the Apostate, who was quoting the emperor Trajan (in other words, three removes in the chain of evidence):

We have conquered even these Getai (Dacians), the most warlike of all people that have ever existed, not only because of the strength in their bodies, but, also due to the teachings of Zalmoxis who is among their most hailed. He has told them that in their hearts they do not die, but change their location and, due to this, they go to their deaths happier than on any other journey.

Another related item from Herodotus:

Moreover, the Egyptians are the first to have maintained the doctrine that the soul of man is immortal, and that, when the body perishes, it enters into another animal that is being born at the time, and when it has been the complete round of the creatures of the dry land and of the sea and of the air it enters again into the body of a man at birth; and its cycle is completed in 3,000 years. There are some Greeks who have adopted this doctrine, some in former times, and some in later, as if it were their own invention; their names I know but refrain from writing down.[34]

Herodotus erroneously gives the Egyptians credit for the idea of reincarnation. Nothing of the kind is attested in anything Egyptian. In fact, they believed that the body had to be preserved in order for the dead person to have any afterlife at all; when the body was destroyed, so was the afterlife ‘life’, which could only be experienced through a well-preserved physical body. Curiously, Herodotus often ascribes Greek ideas and practices to Egyptian origins. One wonders if he was even talking about the Egypt we know as Egypt? (It wasn’t named ‘Egypt’ until after Alexander the Great.)

Ion of Chios, who we met earlier in the account of Pherecydes, seems to have expressed doubt about Pythagoras’ ideas of reincarnation, though he didn’t seem to doubt that he was a learned man. He was writing in the middle of the 5th century, as was Herodotus, who presented the former slave of Pythagoras as a rogue selling salvation. These stories strike me as pejorative but interesting nonetheless for what they convey in an offhand way.

Nevertheless, Pythagoras was said to have had full recall of all his past lives, the list being given in Diogenes Laërtius as follows: First Aethalides, the presumed son of Hermes, who awarded him the gift of remembering his lives after death. Then he incarnated as Euphorbus, and after that Hermotimis, who visited the Branchidae, and in whose temple he recognized the shield that Menelaus had dedicated to Apollo. After Hermotimus he was Pyrrhus, a fisherman of Delos, and after that he was finally reincarnated as Pythagoras.

Pythagoras advocating vegeterianism?

The Branchidae were expelled by Darius’ Persians, who burned the temple in 493 BCE, but Alexander the Great undertook to restore the temple and the oracle. Apparently, this project was never completed. Pausanias visited Didyma in the later 2nd century AD.[35] Pliny reported[36] the worship of Apollo Didymiae – Apollo of Didymus – in Central Asia, transported to Sogdiana by a general of Seleucus and Antiochus whose inscribed altars there were still to be seen by Pliny’s correspondents. Corroborating inscriptions on amphoras were found by I.R. Pichikyan at Dilbergin.[37] [38]

Back to Pythagoras: I’ve read some rather silly explanations here and there saying that the ancient Pythagorean pentagram, with two legs up, represented the Pentemychos or ‘five sanctuaries’, derived from the cosmogony of Pherecydes, who is said to have been Pythagoras’ teacher and friend. However, that is rather doubtful. Wikipedia tells us that the Pentemychos was ‘the island or cave’ where the first pre-cosmic offspring had to be put in order for the cosmos to appear… the divine products of Chronos’ seed, when disposed in the five recesses, were called Pentemuxos. The source citations the Wikipedia author gives for this silly claim are Kirk, Raven and Schofield. Believe me, they say nothing that could be construed in that way. Go back to Pherecydes and read about Ortygie. If you see anything there that suggests such a thing (and I quoted the reference pretty much in full, whereas it was selectively edited on Wikipedia!), I must be blind or nuts.  Using Wikipedia is sometimes an iffy proposition.

Nevertheless, I’ve already suggested that the five hidden recesses might represent an early attempt to map the sky, and what we now know as constellations were designated by Pherecydes as ‘recesses’ or ‘caves’ that went below the horizon, and that they were related to the appearance, and disappearance, of comets from below the horizon or off in space. If that is the case, then it deprives the Pentemychos of any occult significance, whether it came from Pherecydes or not, so I’m sure the folks who are into magick and all that nonsense will not be happy about that.

I’ve skipped over the material from the sources that talk about Pythagoras’ political activities in Croton. As already mentioned, he and members of his society attained positions of political power throughout southern Italy. Polybius reports that, in the middle of the 5th century, when the Pythagorean meeting places were torched, “the leading men from each city lost their lives.” [39] That means that pretty much everybody who was anybody around there was involved with Pythagoras. Considering the overall history of the time, it appears to me that Pythagoras’ organization may have been one designed to dominate the political scene but we don’t know if that was to achieve power for the good of all, not for personal gain. It really sounds as though the common people were the ones who burned out the Pythagoreans.  It also raises questions about what, exactly, the Pythagoreans were really doing.  They probably were NOT sitting around, listening to music and contemplating mathematics!

In any event, Pythagoras himself is said to have died a refugee after a ‘popular revolt’ against him and his companions.  This could have been masterminded by the wealthy seeking power and increase of their wealth, utilizing propaganda and rabble-rousing techniques that were highly developed at that time; we just don’t know. After this disaster, we find Pythagoreans in Greece, including Philolaus in Thebes. And then, the stories began to spread.

It is also entirely possible that Plato’s famous tale of Atlantis in Timaeus and Critias was one of the main things stolen from the alleged books of Pythagoras. I’ll expound on this when we come to our discussion of Plato.

All of this is much more interesting than the fanciful tales told about the man. One even wonders if the stories were made up to distract attention away from the truth. And, when that is the case, it is usually a decent person or a group with high ideals that have been overthrown by ravening seekers of power for its own sake, and following such acts, they erect a smoke-screen such as the one created by Plato.

We are oft to blame in this, tis too much proved - that with devotion's visage and pious action, we do sugar o'er the devil himself.[40]

 



[1] (c.570-c.475 BC), Greek philosopher, theologian, poet, and social and religious critic. He satirized traditional religious views of his time as human projections. Xenophanes wrote about two extremes predominating the world: wet and dry (water and earth). These two extreme states would alternate between one another and with the alteration human life would become extinct, then regenerate. He was one of the first philosophers to distinguish between true belief and knowledge.

[2] From a talk given by William Mullen, Professor of Classical Studies at Bard College, SIS Conference: Natural Catastrophes during Bronze Age Civilisations, 11th – 13th July, 1997.

[3] Most comet references from Yeomans (1991) Comets: A Chronological History of Observation, Science, Myth, and Folklore.

[4] Greek philosopher, cartographer, geographer, mathematician and author. Also Aristotle’s student. Very little of his work remains extant. He wrote on the history and geography of Greece, of which his most important work was his Life of Greece. He was among the first to use geographical coordinates in cartography.

[5] Aelian: Varia Historia (III, 17).

[6] Crotone is a city and comune in Calabria, Italy. Founded c. 710 BCE as the Achaean colony of Croton. Pythagoras founded his school, the Pythagoreans, at Croton c. 530 BCE. Among his pupils were the early medical theorist Alcmaeon of Croton and the philosopher, mathematician, and astronomer Philolaus. The Pythagoreans acquired considerable influence with the supreme council of one thousand by which the city was ruled.  See Wikipedia for a fuller discussion of the interesting history of the city.

[7] Diogenes Laertius, VIII, 4-6.

[8] Greek historian (345 -250 BC), born at Tauromenium in Sicily. He was a student of Isocrates and wrote some 40 books of history.

[9] A Gaulish Roman sophist and philosopher (80-160 AD) during the reign of Hadrian. He was described as a congenital hermaphrodite (Philostratus) or “a eunuch born without testicles” (Polemon of Laodicea). He was beardless and had a high pitched voice. He was once silenced in an argument with the emperor when he could easily have won, but later explained that it was foolish to criticize the logic of the master of 30 legions. See: Holford-Strevens (1997) Favorinos: the Man of Paradoxes, in J. Barnes et M. Griffin (eds.), Philosophia togata, vol. II.

[10] Diogenes Laertius VIII, 34-5, trans. W. D. Ross, cited by Kirk, op. cit.

[11] Timon of Phlius (c. 320 BC – c. 235 BC) was an Ancient Greek philosopher from the Hellenistic period, who was the student of Pyrrho. Timon wrote satirical philosophical poetry called Silloi. The subject was a sarcastic account of the tenets of all philosophers, living and dead; an unbounded field for scepticism and satire.

[12] Diogenes Laertius, VIII, excerpts in order.

[13] Burnet (1892) Early Greek Philosophy.

[14] Russell (1967) History of Western Philosophy.

[15] Diogenes Laertius, IX, 1.

[16] Porphyrius: Life of Pythagoras, 30.

[17] Diogenes Laertius, VIII, 36.

[18] Porphyrius: Life of Pythagoras p.19.

[19] Frank (1923) Plato und die sogenannten Pythagoreer, vi.

[20] Kahn (2001).

[21] Phaedo, 61 d.

[22] Kahn (2001) ibid.

[23] Burkert (1972) Lore and Science in Ancient Pythagoreanism.

[24] Kahn, op. cit. p. 49.

[25] Zeller (1892) Die Philosophie der Greichen in ihrer geschichtlichen Entwicklung.

[26] Hippasus of Metapontum was a Greek philosopher and follower of Pythagoras, though about a century after the latter.  He is sometimes credited with the discovery of irrational numbers. Iamblichus says that Hippasus was the founder of a sect of the Pythagoreans called the Mathematici in opposition to the Acusmatici but elsewhere he makes him the founder of the Acusmatici in opposition to the Mathematici.

[27] Iamblichus, Vita Pythagorica, 18 (81)

[28] Plato, Phaedo, 61DE

[29] Herodotus IV, 95.

[30] A Thracian-related tribe that once inhabited the regions on either side of the Lower Danube, in what is today northern Bulgaria and southern Romania. The area had a few Greek colonies on the Black Sea coast, bringing the Getae into contact with the ancient Greeks from an early date.  Strabo wrote that the Dacians and Getae spoke the same language, after stating the same about Getae and Thracians. Strabo, VII 3,14.

[31]  6th-century CE Eastern Roman bureaucrat widely believed to be of Gothic descent. Late in life he wrote two works, one on Roman history (Romana) and the other on the Goths (Getica). Jordanes was asked by a friend to write Getica as a summary of a multi-volume history of the Goths by Cassiodorus that existed then but has since been lost. Jordanes himself states that his paternal grandfather was secretary to a leader of the Alans which modern historians have connected with Central Asian Yancai of Chinese sources and with the Aorsi of Roman sources.

[32] Paliga (1997) ‘La divinité suprême des Thraco-Daces’.

[33] Znamenski (2007) The Beauty of the Primitive: Shamanism and Western Imagination.

[34] Herodotus II, 123.

[35] Pausanias, Description of Greece, 7.2.6.

[36] Pliny's Natural History, 6.18.

[37] Parke (1986) ‘The Temple of Apollo at Didyma: The Building and Its Function’.

[38] Haselberger (1983), ‘Die Bauzeichnungen des Apollontempels von Didyma’; (1985) ‘Antike Planzeichnungen am Apollontempel von Didyma’; (1991)‘Aspekte der Bauzeichnungen von Didyma’.

[39] Polybius II, 39. 1-2.

[40] Shakespeare, Hamlet, Polonius to Opheila, Act III, Scene 1.

To Part 6








The Spin Chronicles (Part 13): Norms, Spinors, and Why Mathematicians Need Better Nature Walks

 Welcome back to The Spin Chronicles ! If you’ve been following along (and if you haven’t, shame on you—catch up on Part 12 Geometry, Kant, ...