exactphilosophy.net
contents
 
 
 
 
 
 
 
 

greek philosophy

Aristotle defines elements to be composed of properties that can be felt by touching. He uses two pairs of opposites, hot-cold and wet-dry, to define four elements, which he names fire, earth, water and air. And he identifies wet-dry with soft-hard, viscous-brittle and smooth-rough. Unlike later the Stoics, he does not consistently identify hot-cold with active-passive and light-heavy. If you do, you get:

fire hot (active) dry (hard) emo
earth cold (passive) dry (hard) ero
water cold (passive) wet (soft) emi
air hot (active) wet (soft) eri

Aristotle defines a fifth element as immutable, moving only in circles and existing only in space, while the other four elements move linearly. And he also arranges the four elements essentially in a circle in which they transform into each other by flipping one of hot↔cold or wet↔dry at each transition. The shared theme of a circle links the transformation of elements to the fifth element.

[image]

This yields a one-to-one correspondence to my previous definition of the elements, including the same circle.

leads

  • Aristotle. On Generation and Corruption. Around 350 BCE.
  • "Since, then, we are looking for 'originative sources' of perceptible body; and since 'perceptible' is equivalent to 'tangible', and 'tangible' is that of which the perception is touch; it is clear that not all the contrarieties constitute 'forms' and 'originative sources' of body, but only those which correspond to touch." (Book II, translated by H. Joachim)
  • "From moist and dry are derived (iii) the fine and coarse, viscous and brittle, hard and soft, and the remaining tangible differences. For (a) since the moist has no determinate shape, but is readily adaptable and follows the outline of that which is in contact with it, it is characteristic of it to be 'such as to fill up'. Now 'the fine' is 'such as to fill up'. For 'the fine' consists of subtle particles; but that which consists of small particles is 'such as to fill up', inasmuch as it is in contact whole with whole-and 'the fine' exhibits this character in a superlative degree. Hence it is evident that the fine derives from the moist, while the coarse derives from the dry. Again (b) 'the viscous' derives from the moist: for 'the viscous' (e.g. oil) is a 'moist' modified in a certain way. 'The brittle', on the other hand, derives from the dry: for 'brittle' is that which is completely dry-so completely, that its solidification has actually been due to failure of moisture. Further (c) 'the soft' derives from the moist. For 'soft' is that which yields to pressure by retiring into itself, though it does not yield by total displacement as the moist does-which explains why the moist is not 'soft', although 'the soft' derives from the moist. 'The hard', on the other hand, derives from the dry: for 'hard' is that which is solidified, and the solidified is dry."
  • "The elementary qualities are four [...]. Hence it is evident that the 'couplings' of the elementary qualities will be four: hot with dry and moist with hot, and again cold with dry and cold with moist. [...] Fire is hot and dry, whereas Air is hot and moist (Air being a sort of aqueous vapour); and Water is cold and moist, while Earth is cold and dry."
  • Aristotle arranges the elements in a cycle fire-air-water-earth:

    "Thus (i) the process of conversion will be quick between those which have interchangeable 'complementary factors', but slow between those which have none. The reason is that it is easier for a single thing to change than for many. Air, e.g. will result from Fire if a single quality changes: for Fire, as we saw, is hot and dry while Air is hot and moist, so that there will be Air if the dry be overcome by the moist. Again, Water will result from Air if the hot be overcome by the cold: for Air, as we saw, is hot and moist while Water is cold and moist, so that, if the hot changes, there will be Water. So too, in the same manner, Earth will result from Water and Fire from Earth, since the two 'elements' in both these couples have interchangeable 'complementary factors'. For Water is moist and cold while Earth is cold and dry-so that, if the moist be overcome, there will be Earth: and again, since Fire is dry and hot while Earth is cold and dry, Fire will result from Earth if the cold pass-away."

    It appears that Aristotle excludes other transitions, or why else would they be slower, if not because they would have to take place in sequence as two transitions along the circle?
  • In On Generation and Corruption, Aristotle considers light-heavy not to be an attribute of any specific elements:

    "(i) heavy and light are neither active nor susceptible. Things are not called 'heavy' and 'light' because they act upon, or suffer action from, other things. But the 'elements' must be reciprocally active and susceptible, since they 'combine' and are transformed into one another. On the other hand (ii) hot and cold, and dry and moist, are terms, of which the first pair implies power to act and the second pair susceptibility."

    But in On the Heavens, he considers air and fire as light and water and earth as heavy, in the order earth-water-air-fire, and postulates the existence of an immutable fifth element that dominates in the sky, is neither light nor heavy and moves in circles, while the first four elements move linearly:

    "[...] all locomotion, as we term it, is either straight or circular or a combination of these two, which are the only simple movements. [...] Now revolution about the centre is circular motion, while the upward and downward movements are in a straight line, 'upward' meaning motion away from the centre, and 'downward' motion towards it. [...] For if the natural motion is upward, it will be fire or air, and if downward, water or earth. [...] circular motion is necessarily primary. For the perfect is naturally prior to the imperfect, and the circle is a perfect thing. [...] These premises clearly give the conclusion that there is in nature some bodily substance other than the formations we know, prior to them all and more divine than they. [...] there is something beyond the bodies that are about us on this earth, different and separate from them; and that the superior glory of its nature is proportionate to its distance from this world of ours. [...] things are heavy and light relatively to one another; air, for instance, is light relatively to water, and water light relatively to earth. The body, then, which moves in a circle cannot possibly possess either heaviness or lightness. For neither naturally nor unnaturally can it move either towards or away from the centre. [...] this body will be ungenerated and indestructible and exempt from increase and alteration [...] earth is enclosed by water, water by air, air by fire, and these similarly by the upper bodies" (Book I, translated by J. Stocks)
  • Aristotle appears to consistently consider the pair of opposites hot/cold active and the pair wet/dry passive, see the quote from On Generation and Corruption above, or the following quote from Meteorology:

    "All this makes it clear that bodies are formed by heat and cold and that these agents operate by thickening and solidifying. It is because these qualities fashion bodies that we find heat in all of them, and in some cold in so far as heat is absent. These qualities, then, are present as active, and the moist and the dry as passive, and consequently all four are found in mixed bodies." (Book IV, translated by E. Webster)
  • David Sedley writes in chapter 11 of The Cambridge History of Hellenistic Philosophy (2000) that the Stoic's identification of hot-cold with active-passive emerged from medical tradition, from pneuma, breath, which was seen as a mixture of fire and air, and mentions also that this identification was not exclusively the only view of the Stoics in their time.
  • In Academica (45 BCE), Cicero lets Antiochus of Ascalon say the following, influenced by Aristotle and the Stoics:

    "Accordingly air [...] and fire and water and earth are primary; while their derivatives are the species of living creatures and of the things that grow out of the earth. Therefore those things are termed [...] elements; and among them air and fire have motive and efficient force, and the remaining divisions [...] water and earth, receptive and 'passive' capacity. Aristotle deemed that there existed a certain fifth sort of element, in a class by itself and unlike the four that I have mentioned above, which was the source of the stars and of thinking minds." (Book I 26, translated by H. Rackham)
  • A bit later astrological views emerged that see fire and air as male, and water and earth as female. See Vettius Valens's Anthologia in the 2nd century CE and hints in earlier texts by Dorotheus of Sidon and Marcus Manilius. These views have essentially prevailed, including in medieval alchemy and up to contemporary astrology.
  • In contemporary astrology, fire is associated with imagination, air with (abstract) thinking and communication, water with feelings, and earth with pragmatic realism.
  • Many of Aristotle's and Plato's works have been preserved in their entirety, but what earlier philosophers thought has often only survived in fragments quoted by later authors. Especially quotes and interpretations made around early CE, as well as later interpretations based on them, should maybe be taken with a grain of salt, as that was also the time in which the "canonical view" on the elements in the West emerged for centuries to follow in astrology, alchemy and medicine, as well as in basically all other fields at the times.

    In that sense, a few more leads regarding ancient Greek views about the elements here, as well as some more in the leads of the following sections, and see artemis.
  • Some fragments of Heraclitus suggest the same circle as Aristotle, namely DK B76 "fire's death is air's birth, and air's death is water's birth" and B36 "psyche's death is water's birth, water's death is earth's birth, from earth comes water, from water comes psyche", if psyche (or soul) is identified with air. Fragment B31 describes a transformation from fire to sea (water?) and says that sea is made of equal parts of earth and whirlwind (air?); fragment B90 suggests that he considered fire the primary substance.
  • Most things in the sky beyond clouds are round or cyclic: sun and moon are round, planets, as well as stars during night and seasons, move periodically in predictable cycles.
  • The fifth element is also called ether or aether and quintessence. Many different views of the fifth element and closely related concepts have emerged over time.

    Plato used the word aether to describe the purest form of air in the Timaeus. But there is also a strong association of the sky with fire, because stars and planets appear to emit light and the sun provides heat, and also because fire was often considered the lightest of the four elements.

    The fifth element is generally considered "divine" because gods were often believed to live in heaven. And it is often also seen as special in other ways, like able to create life, or immortal like the soul or maybe pneuma, or able to create matter and to hold it together, or maybe identified by some alchemists with the philosopher's stone, which was believed to be able to transform matter, like lead to gold, etc.?
  • Do such associations (historically founded or not) fit well with the definition of e5 simply because they all keep going in circles around the same questions?
  • According to Diogenes Laërtius in the third century CE, the Stoics would have identified fire with hot, earth with dry, water with wet, and air with cold (and dry):

    "[...] the four elements are all equally an essence without any distinctive quality, namely, matter; but fire is the hot, water the moist, air the cold, and earth the dry - though this last quality is also common to the air. The fire is the highest, and that is called aether, in which first of all the sphere was generated in which the fixed stars are set, then that in which the planets revolve; after that the air, then the water; and the sediment as it were of all is the earth, which is placed in the centre of the rest." (7. LXIX, translated by C. Yonge)

    The papyrus Anonymus Londinensis from about the first century CE says essentially the same about Philistion (apparently Philistion of Locri, a contemporary of Plato):

    "Philiston thinks that we are composed of four 'forms', that is, of four elements - fire, air, water, earth. Each of these too has its own power; of fire the power is the hot, of air it is the cold, of water the moist, and of earth the dry." (XX 24, translated by W. Jones)

    According to David Hahm in The Origins of Stoic Cosmology (1977), this view might have already been quite common among physicians in classical times. Artistotle's texts about biology seem to implicitly reflect that view, like that air is inhaled cold and exhaled hot (pneuma). Although there appear to be no contemporary sources that would directly prove such an identification, Hahm's detailed argumentation that the Stoics aimed for a unified view of the elements (unlike apparently Aristotle) across all fields seems plausible.

    In Stoic belief, the cosmos emerged from fire via air to water to earth, and back (see Hahm for details), essentially along Aristotle's circle of the elements or light to heavy and back.
  • In ancient Greek philosophy there was also the idea of matter consisting of indivisible physical units (atoms). In Plato's Timaeus, a model is presented that combines both views by associating the five elements with the five Platonic solids: fire-tetrahedron, air-octahedron, water-icosahedron, earth-cube and the roundest one, the dodecahedron, for the whole world/universe (pan). Kepler's drawings (1619):

    [image]

    In 4 dimensions there are 6 generalized Platonic solids, in 5 and more dimensions always only 3, namely generalizations of tetrahedron, cube and octahedron.
  • Aristotle in Metaphysics:

    "Anaximenes and Diogenes make air prior to water, and the most primary of the simple bodies, while Hippasus of Metapontium and Heraclitus of Ephesus say this of fire, and Empedocles says it of the four elements (adding a fourth - earth - to those which have been named); for these, he says, always remain and do not come to be, except that they come to be more or fewer, being aggregated into one and segregated out of one." (Book I 3, translated by W. Ross)
  • Since at least then, Empedocles is usually credited for having first mentioned the four elements, in the following fragment (DK31B6) of his poem On Nature:

    [image]

    It speaks of "four roots" at the origin of all and then lists four gods with some attributes, in this order: Zeus (flashing/shining), Hera (live-giving/-bearing), Aidoneus (no attributes), Nestis (moisture, tears/dew). Interpretation and attribution to elements is controversial and has already been so in antiquity; start maybe at John Opsopaus's The Ancient Greek Esoteric Doctrine of The Elements (1998), see links.
  • If you take Empedocles literally, Zeus would maybe most immediately be the root of fire, because of his attributes and because he creates lightning, Hera the root of earth, because she bears (creates) a child, Nestis the root of water, because of dew and tears (rain?). This would leave Aidoneus as the root of air, which seems rather unexpected at first. Aidoneus is a variant of Aides (Hades) since at least Homer, and maybe most likely means "unseen" or "invisible". In Plato's Cratylus Socrates proposes "knowledge of all noble things" instead. In any case, air and knowledge are typically invisible, and death arguably kills everything except an immortal, invisible soul, which then dwells in the underworld, in Hades.

    Still, so far Hades-air seems not to be most obvious fit, but maybe still clear enough for a secretly initiated reader in antiquity? Note that Aidoneus is the only one listed without explicit attributes, so maybe his name itself is the attribute, and the list of contemporary deities served also to veil a secret "oath" to the four elements and related medical traditions?
  • The Hippocratic Oath in its maybe oldest surviving form also starts with four names: "I swear by Apollo the healer, by Asclepius, by Hygieia, by Panacea, [...]" (Oxyrhyncus Papyrus 2547, ca. 275 CE). The sun god Apollon would maybe be most strongly associated with fire, his son Asclepius as a wise doctor with air, his daughter Hygieia with water, as she is often shown with a snake that drinks from a bowl in her hands (and with hygiene, of course, which often involves liquids for disinfection), and Panacea, another of Asclepius' five daughters, with earth, as she used to heal with plants. Did doctors implicitly take an oath on the four elements, more so than on the explicitly named gods or saints?

    [image]
  • Note that in both lists women/men would be associated with the cold/hot elements, female/male in astrology, which is surprising because Empedocles lived more than a century even before Xeno founded Stoicism (passive/active), and centuries before astrologers attributed female/male to elements.
  • In Empedocles' list, the dry elements would form a couple, Zeus and Hera. In Ancient Philosophy, Mystery and Magic: Empedocles and Pythagorean Tradition (1995), Peter Kingsley suggests that Nestis would be Persephone, hence a couple of wet elements below earth ('in') and a couple of dry elements in heaven above earth ('out')?
  • The order of elements in the oath would be Aristotle's order from light to heavy, while Empedocles' order would remind maybe more of the myth of Dionysos, who was born first from fire (Zeus in form of lightning), then from earth (Zeus' thigh), then from water (chopped to pieces, cooked and put back together), then from air (struck with madness), finally to be reborn as arguably a "higher octave" of Zeus, as the fifth element, also symbolized by wearing a lion's pelt? The zodiac starts with fire (Aries), then follow earth, air, water, and then fire again, in the fifth sign, Leo.
  • The myth of Dionysos reminds also of ancient Egyptian myths around Osiris, Isis, their dismembered son Horus, and Seth, or of ancient Egyptian creation myths, like the one of Heliopolis, where there appears to be a sequence water-fire-air/water-earth/heaven-..., which also resembles Hesiod's description of how the world came to be, and creation myths world-wide. In such myths, elements are usually automatically listed in a sequence, as later by Aristotle by lightness or in a circle.
  • See the pythagorean tetractys and oath. Pythagoras lived in the 6th century BCE, before Empedocles and Hippocrates. The tetractys is a triangle with four dots on each side:

    1 point monad (unity)
    2 line dyad (power)
    3 triangle triad (harmony)
    4 tetrahedron tetrad (cosmos)

    It relates also to music via the ratios between each line, octave (2:1), perfect fifth (3:2) and perfect fourth (4:3).

    The list reminds of fire-air-water-earth (light to heavy).

    But the above is apparently even more than usually for early Greek philosophers based on speculation, since Pythagoras reportedly never wrote anything down himself, so that there are even less credible sources about his views in his time, often surrounded by legends bordering on religion/sect.
  • It is usually hard to tell secret facts about the past from fiction, for the obvious reason that there are mostly no tangible artefacts from the supposed time in both cases.
  • To ancient Greeks, the ancient Egyptians were apparently sort of like the ancient Greeks in modern perception, an admired ancient culture. It appears that the ancient Egyptians might have kept things more secret than the Greeks in their time, maybe only passing it on from master to pupil adept?
  • Finally, as a teaser, note that the pyramids have five corners, an earthly base of four, plus one on top...

    [image]

    With maybe even opposites attached like this (or maybe with dry/hot and wet/cold flipped or attached to sides instead), reflecting the heating and drying effect of the sun during the course of a day, similarly to the original image for yin-yang in China as the shady and sunny sides of a hill?

    [image]
  • See möbius for more leads related to the Greek elements, but maybe first i ching for similar concepts in ancient China...
© 2002-now Alain Stalder