Physicists From Greece

"Anaxagoras... went back to ... settled at Lampsakos, and... founded a school there. Probably he did not live long after his exile. The Lampsakenes erected an altar to his memory in their market-place, dedicated to Mind and Truth; and the anniversary of his death was long kept as a holiday for school-children..."

"Diogenes includes Anaxagoras in... philosophers who left... a single book, and... preserved the... criticism... that it was written "in a lofty and agreeable style." ...[F]rom the ...Apology ...the works of Anaxagoras could be bought at Athens for a single drachma; and ...was of some length ...[as] Plato ...speak[s] of it. ...Simplicius had ...a copy, ...and it is to him we owe the preservation of all our fragments, with ...[a few] doubtful exceptions. Unfortunately his quotations seem... confined to the First Book... dealing with general principles, so... we are... in the dark with regard to... details. This is... unfortunate, as... Anaxagoras... first gave the true theory of the moon’s light and... the true theory of eclipses."

"Empedokles sought to save the world of appearance by maintaining that the opposites—hot and cold, moist and dry—were things, each...real in the Parmenidean sense. Anaxagoras regarded this as inadequate. ...[T]hings of which the world is made are not "cut off with a hatchet" (fr. 8) ...the true formula must be: There is a portion of everything in everything (fr. 11)."

"The statement... there is a portion of everything in everything, is not... referring simply to the original mixture of things before the formation of the worlds (fr. 1). ...[E]ven now “all things are together,” and everything... has an equal number of “portions” (fr. 6). A smaller particle... could only contain a smaller number of portions... [I]f anything is, in the... Parmenidean sense, it is impossible that mere division should make it cease to be (fr. 3). Matter is infinitely divisible... there is no least thing, any more than there is a greatest. But however great or small.., it contains... the same number of "portions,"... [i.e.,] a portion of everything."

"And since these things are so, we must suppose that there are contained many things and of all sorts in the things that are uniting, seeds of all things, with all sorts of shapes and colours and savours"

"[W]hen "all things were together," and when the different seeds... were mixed... in infinitely small particles (fr. 1), the appearance... would be that of one of... the primary substances. ...[T]hey did present the appearance of "air and aether"; for the qualities (things) which belong to these prevail in quantity... and everything is... that of which it has most... (fr. 12 sub fin.). Here... Anaxagoras attaches... to Anaximenes. The primary condition... before... formation of... worlds, is much the same in both; only, with Anaxagoras, the original mass is no longer the primary substance, but a mixture of innumerable seeds divided into infinitely small parts. This mass is infinite, like the air of Anaximenes, and... supports itself, since there is nothing surrounding it. ... [T]he "seeds" of all things which it contains are infinite in number (fr. 1). But... the... seeds may be divided into those in which the portions of cold, moist, dense, and dark prevail, and those which have most... warm, dry, rare, and light... the original mass was a mixture of infinite Air and... Fire. ..."

"Like Empedokles, Anaxagoras required some external cause to produce motion in the mixture. Body, Parmenides had shown, would never move itself... Anaxagoras called the cause of motion... . ...[T]his ...made Aristotle say that he "stood out like a sober man from the random talkers that had preceded him," and he has often been credited with the introduction of the spiritual into philosophy. ...[D]isappointment [was] expressed ...by Plato and Aristotle as to the way in which Anaxagoras worked out the theory ... Plato makes Sokrates say: "I once heard a man reading a book... of Anaxagoras... saying it was Mind that ordered the world and was the cause of all things. I was delighted... and... thought he... was right. ...But my extravagant expectations were all dashed... when I... found... the man made no use of Mind... He ascribed no causal power... to it in the ordering of things, but to airs, and aethers, and waters, and a host of other strange things." Aristotle... says: "Anaxagoras uses Mind as a ' to account for the formation of the world ; and whenever he is at a loss to explain why anything necessarily is, he drags it in. But in other cases he makes anything rather than Mind the cause." These utterances... suggest... Nous of Anaxagoras did not... stand on a higher level than... Love and Strife of Empedokles..."

"is unmixed (fr. 12), and does not... contain a portion of everything. This would hardly be worth saying of an immaterial mind... The result of its being unmixed is that it "has power over" everything... [i.e.,] it causes things to move. Herakleitos had said as much of Fire, and Empedokles of Strife. Further, it is the "thinnest" of all things, so that it can penetrate everywhere... Nous also "knows all things"... [P]robably... Anaxagoras substituted Nous for the Love and Strife of Empedokles... to retain the old Ionic doctrine of a substance that "knows" all things, and... identify this with the new... substance that "moves" all things. Perhaps... his increased interest in physiological as distinguished from purely cosmological matters... led him to... Mind rather than Soul. ...[T]he originality of Anaxagoras lies ...more in the theory of matter than ...of Nous."

"The cosmology of Anaxagoras is clearly based upon that of Anaximenes... Theophrastos... [states] that Anaxagoras had belonged to the school of Anaximenes. The floating on the air, the dark bodies below the moon, the explanation of the solstices and the "turnings" of the moon by the resistance of air, the explanations given of wind and of thunder and lightning, are all derived from the earlier inquirer."

"Aristotle having declaimed irreverently of the gods, and dreading the fate of Socrates, wished to retire from Athens. In a beautiful manner he pointed out his successor. There were two rivals in his schools: Menedemus the Rhodian, and Theophrastus of Lesbos. Alluding delicately to his own critical situation, he told his assembled scholars that the wine he was accustomed to drink was injurious to him, and he desired them to bring the wines of Rhodes and Lesbos. He tasted both, and declared they both did honour to their soil, each being excellent, though differing in their quality;—the Rhodian wine is the strongest, but the Lesbian is the sweetest, and that he himself preferred it. Thus his ingenuity designated his favourite Theophrastus, the author of the "Characters," for his successor."

"Εἰ μὲν ἀμαθὴς εἶ, φρονίμως ποιεῖς, εἰ δὲ πεπαίδευσαι, ἀφρόνως."

"Superstition would seem to be simply cowardice in regard to the supernatural."

"Ἐπισκήπτειν μὲν ἔχειν οὐδέν, πλὴν ὅτι πολλὰ τῶν ἡδέων ὁ βίος διὰ τὴν δόξαν καταλαζονεύεται. Ἡμεῖς γὰρ ὁπότ' ἀρχόμεθα ζῆν, τότ' ἀποθνῄσκομεν. Οὐδὲν οὖν ἀλυσιτελέστερόν ἐστι φιλοδοξίας."

"Συνεχές τε … πολυτελὲς ἀνάλωμα εἶναι τὸν χρόνον."

"The Unseasonable man is one who will go up to a busy person, and open his heart to him. He will serenade his mistress when she has a fever. He will address himself to a man who has been cast in a surety-suit, and request him to become his security. He will come to give evidence when the trial is over."

"Theophrastus of Eresus... wrote a book On Winds and on Weather Signs, but like most other Greek philosophers, he was hardly the man to adopt patient and exact observation in place of dogmatic assertion and the teaching of authority."

"His teachings formed a series of poems some five thousand verses in length. Only a hundred and fifty verses have survived from... On Nature yet, the relics are more substantial than those from any other Greek philosopher. From them we can extract a theory which... tackles all three problems of Greek science. ...(a) What are the stable principles behind the flux? (b) What process is responsible for the changes in the flux? (c) What agencies control this process? To these questions Empedokles replied... (a) The enduring principles in the natural world are the four basic types of matter—solid, liquid, fiery and aeriform. ...they are conserved in all material transformations. (b) Change comes about through the mingling and separation of these... which unite in different proportions to produce... familiar objects... (c) The agents responsible... are the two universal powers acting in opposition, which he called allegorically, Love and Strife. ...[T]his [as an explicit theory] was the first appearance in our scientific tradition of an important intellectual model. ...[A]ll material things are organized mixtures of different elementary substances ...And, as developed by his contemporary Anaxagoras, and later by the atomists, this type of matter-theory has been in circulation ever since."

"νηστεῦσαι κακότητος."

"The Greeks elaborated several theories of vision. According to the Pythagoreans, Democritus, and others vision is caused by the projection of particles from the object seen, into the pupil of the eye. On the other hand Empedocles, the Platonists, and Euclid held the strange doctrine of ocular beams, according to which the eye itself sends out something which causes sight as soon as it meets something else emanated by the object."

"ἐξ οἵης τιμῆς τε καὶ ὅσσου μήκεος ὄλβου/ὧδε [πεσὼν κατὰ γαῖαν] ἀναστρέφομαι μετὰ θνητοῖς."

"μία γίγνεται ἀμφοτέρων ὄψ."

"γῆς ἱδρῶτα θάλασσαν."

"ὄλβιος, ὅς θείων πραπίδων ἐκτήσατο πλοῦτον,/δειλὸς δ’, ὧι σκοτόεσσα θεῶν πέρι δόξα μέμηλεν."

"ἀλλὰ τὸ μὲν πάντων νόμιμον διάτ᾽ εὐρυμέδοντος/αἰθέρος ἠνεκέως τέταται διά τ᾽ ἀπλέτου αὐγῆς"

"ἧι γὰρ καὶ πάρος ἔσκε, καὶ ἔσσεται, οὐδέ ποτ’, οἴω,/τούτων ἀμφοτέρων κενεώσεται ἄσπετος αἰών."

"οὐδέ τι τοῦ παντὸς κενεὸν πέλει οὐδὲ περισσόν."

"ἀλλ’ ἄγε μύθων κλῦθι· μάθη γάρ τοι φρένας αὔξει· ὡς γὰρ καὶ πρὶν ἔειπα πιφαύσκων πείρατα μύθων, δίπλ’ ἐρέω· τοτὲ μὲν γὰρ ἕν ηὐξήθη μόνον ῏ειναι ἐκ πλεόνων, τοτὲ δ’ αὖ διέφυ πλέον’ ἐξ ἑνὸς εἶναι, πῦρ καὶ ὕδωρ καὶ γαῖα καὶ ἠέρος ἄπλετον ὕψος, Νεῖκος τ’ οὐλόμενον δίχα τῶν, ἀτάλαντον ἁπάντηι. καὶ Φιλότης ἐν τοῖσιν, ἴση μῆκός τε πλάτος τε· τὴν σὺ νόωι δέρκευ, μηδ’ ὄμμασιν ἧσο τεθηπώς· ἥτις καὶ θνητοῖσι νομίζεται ἔμφυτος ἄρθροις, τῆι τε φίλα φρονέουσι καὶ ἄρθμια ἔργα τελοῦσι, Γηθοσύνην καλέοντες ἐπώνυμον ἠδ’ Ἀφροδίτην·"

"But, when the elements have been mingled in the fashion of a man and come to the light of day, or in the fashion of the race of wild beasts or plants or birds, then men say that these come into being; and when they are separated, they call that woeful death. They call it not aright; but I too follow the custom, and call it so myself."

"ἄλλο δέ τοι ἐρέω· φύσις οὐδενός ἐστιν ἁπάντων θνητῶν, οὐδέ τις οὐλομένου θανάτοιο τελευτή, ἀλλὰ μόνον μίξις τε διάλλαξίς τε μιγέντων ἐστί, φύσις δ’ἐπὶ τοῖς ὀνομάζεται ἀνθρώποισιν."

"νήπιοι· οὐ γάρ σφιν δολιχόφρονές εἰσι μέριμναι, οἵ δὴ γίγνεσθαι πάρος οὐκ ἐὸν ἐλπίζουσιν ἤ τι καταθνήισκειν τε καὶ ἐξόλλυσθαι ἁπάντηι."

"ἔστιν ἀνάγκης χρῆμα, θεῶν ψήφισμα παλαιόν, εὖτέ τις ἀμπλακίῃσι φόνῳ φίλα γυῖα μιήνῃ, δαίμονες οἵ τε μακραίωνος λελάχασι βίοιο, τρίς μιν μυρίας ὥρας ἀπὸ μακάρων ἀλάλησθαι, τὴν καὶ ἐγὼ νῦν εἶμι, φυγὰς θεόθεν καὶ ἀλήτης"

"ἤδη γάρ ποτ’ ἐγὼ γενόμην κοῦρός τε κόρη τε/θάμνος τ’ οἰωνός τε καὶ ἔξαλος ἔλλοπος ἰχθύς."

"…καὶ δὶς γάρ, ὅ δεῖ, καλόν ἐστιν ἐνισπεῖν."

"Alcmaeon was, says [J.] Wachtler, the first who attempted to explain the phenomenon of sound and our perception of it by reference to the structure of the ear itself. Empedocles to some extent follows or agrees with him. ...Empedocles teaches that hearing is caused by the impact of the air-wave against the cartilage which is suspended within the ear, oscillating as it is struck, like a gong."

"He tried to address the problem of change by saying that there is not one fundamental arche but four—earth, water, air, and fire—which generate all the material substances in nature by mixing together in various ways under the influence of forces he called Love and Strife."

"Empedocles... changed... [Greek philosophy] from monism to a kind of pluralism. To avoid the difficulty that one primary substance cannot explain the variety of things and events, he assumed four basic elements, earth, water, air and fire.... mixed... and separated by... Love and Strife. Therefore, these latter two... are responsible for the imperishable change. Empedocles describes the formation of the world... First, ...the infinite Sphere of the One, as in the philosophy of Parmenides. But in the primary substance all the four "roots" are mixed... by Love. Then, when Love is passing out and Strife coming in, the elements are partially separated and partially combined. After that the elements are completely separated and Love is outside the World. Finally, Love is bringing the elements together again and Strife is passing out, so... we return to the original Sphere. This doctrine... represents... a more materialistic view... Here for the first time... a few [fundamentally different] substances... explains the infinite variety of things and events. Pluralism never appeals to those who are wont to think in fundamental principles. But it is a reasonable... compromise, which avoids the difficulty of monism and allows... some order."

"πάντα γὰρ ἑξείης πελεμίζετο γυῖα θεοῖο."

"τέσσαρα γὰρ πάντων ῥιζώματα πρῶτον ἄκουε· Ζεὺς ἀργὴς Ἥρη τε φερέσβιος ἠδ’ Ἀιδωνεύς Νῆστίς θ’, ἥ δακρύοις τέγγει κρούνωμα βρότειον."

"αἰθήρ [δ’ αὖ] μακρῆισι κατὰ χθόνα δύετο ῥίζαις."

"In committing himself to a form of materialism, Thales rejects a picture of the universe found in the Homeric poems, one which posits, in addition to the natural world, a supernatural quadrant populated by beings who are not subject to such laws as may govern the interactions of all natural bodies. If all things are composed of matter, then it ought to be possible to explain all there is to explain about the universe in terms of material bodies and their law-governed interactions. This simple thought already stands in sharp contrast to a world supposed to be populated by supernatural immaterial beings whose actions may be capricious or deliberate, rational or irrational, welcome or unwelcome, but which as a matter of basic principle cannot be explicated in terms of the forms of regularity found in the natural world. In Thales’ naturalistic universe, it ought to be possible to uncover patterns and laws and to use such laws as the basis for stable predictions about the direction the universe is to take; to uncover causes and to use that knowledge to find cures for illnesses or to develop strategies for optimizing our well-being; and, less practically, to find broad-based explanations to fundamental questions which crop up in every organized society. Such questions persist: Where did the universe come from? What, ultimately, is its basic stuff?"

"[Thales] first went to Egypt and hence introduced this study [geometry] into Greece. He discovered many propositions himself, and instructed his successors in the principles underlying many others, his method of attack being in some cases more general [i.e. more theoretical or scientific], in others more empirical [...more in the nature of simple inspection or observation]."

"According to tradition, Thales is the first to reveal the study of nature to the Greeks; although he had many predecessors, in Theopharastus' view, he so surpassed them as to eclipse everyone before him."

"It has been asserted that metaphysical speculation is a thing of the past and that physical science has extirpated it. The discussion of the categories of existence, however, does not appear to be in danger of coming to an end in our time, and the exercise of speculation continues as fascinating to every fresh mind as it was in the days of Thales."

"Since Alyattes would not give up the Scythians to Cyaxares at his demand, there was war [ Battle of Halys ] between the Lydians and the Medes for five years; each won many victories over the other, and once they fought a battle by night. They were still warring with equal success, when it happened, at an encounter which occurred in the sixth year, that during the battle the day was suddenly turned to night. Thales of Miletus had foretold this loss of daylight to the Ionians, fixing it within the year in which the change did indeed happen."

"While [Thales] was studying the stars and looking upwards, he fell into a pit, and a neat, witty Thracian servant girl jeered at him, they say, because he was so eager to know the things in the sky that he could not see what was there before him at his very feet."

"The more one studies the period of Thales—the more one compares the knowledge he bequeathed to prosterity with the one he had found when he began his work—the more does his mathematical stature grow, until one is impelled to range Thales with such figures as Archimedes, Fermat, Newton, Gauss and Poincaré."

"With regard to the Pythagorean theorem my conjecture is that... it was known to Thales. ...the hypotenuse theorem is a direct consequence of the principle of similitude, and... Thales was fully conversant with the theory of similar triangles."

"Thales the teacher produced the first geometers, even as Thales the thinker founded the first geometry worthy of the name."

"It has fallen to the lot of one people, the ancient Greeks, to endow human thought with two outlooks on the universe neither of which has blurred appreciably in more than two thousand years. ...The first was the explicit recognition that proof by deductive reasoning offers a foundation for the structure of number and form. The second was the daring conjecture that nature can be understood by human beings through mathematics, and that mathematics is the language most adequate for idealizing the complexity of nature into appreciable simplicity. Both are attributed by persistent Greek tradition to Pythagoras in the sixth century before Christ. ...there is an equally persistent tradition that it was Thales... who first proved a theorem in geometry. But there seems to be no claim that Thales... proposed the inerrant tactic of definitions, postulates, deductive proof, theorem as a universal method in mathematics. ...in attributing any specific advance to Pythagoras himself, it must be remembered that the Pythagorean brotherhood was one of the world's earliest unpriestly cooperative scientific societies, if not the first, and that its members assigned the common work of all by mutual consent to their master."

"It seems probable that the early Greeks were largely indebted to the Phoenicians for their knowledge of practical arithmetic or the art of calculation, and perhaps also learnt from them a few properties of numbers. It may be worthy of note that Pythagoras was a Phoenician; and according to Herodotus, but this is more doubtful, Thales was also of that race."