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Plato: Timaeus · 25 of 50 · tr. Benjamin Jowett

Section 1y

He, however, who raises the question whether they are to be truly regarded as one or five, takes up a more reasonable position. Arguing from probabilities, I am of opinion that they are one; another, regarding the question from another point of view, will be of another mind. But, leaving this enquiry, let us proceed to distribute the elementary forms, which have now been created in idea, among the four elements. To earth, then, let us assign the cubical form; for earth is the most immoveable of the four and the most plastic of all bodies, and that which has the most stable bases must of necessity be of such a nature. Now, of the triangles which we assumed at first, that which has two equal sides is by nature more firmly based than that which has unequal sides; and of the compound figures which are formed out of either, the plane equilateral quadrangle has necessarily, a more stable basis than the equilateral triangle, both in the whole and in the parts. Wherefore, in assigning this figure to earth, we adhere to probability; and to water we assign that one of the remaining forms which is the least moveable; and the most moveable of them to fire; and to air that which is intermediate. Also we assign the smallest body to fire, and the greatest to water, and the intermediate in size to air; and, again, the acutest body to fire, and the next in acuteness to, air, and the third to water. Of all these elements, that which has the fewest bases must necessarily be the most moveable, for it must be the acutest and most penetrating in every way, and also the lightest as being composed of the smallest number of similar particles: and the second body has similar properties in a second degree, and the third body in the third degree. Let it be agreed, then, both according to strict reason and according to probability, that the pyramid is the solid which is the original element and seed of fire; and let us assign the element which was next in the order of generation to air, and the third to water. We must imagine all these to be so small that no single particle of any of the four kinds is seen by us on account of their smallness: but when many of them are collected together their aggregates are seen. And the ratios of their numbers, motions, and other properties, everywhere God, as far as necessity allowed or gave consent, has exactly perfected, and harmonised in due proportion. From all that we have just been saying about the elements or kinds, the most probable conclusion is as follows:-earth, when meeting with fire and dissolved by its sharpness, whether the dissolution take place in the fire itself or perhaps in some mass of air or water, is borne hither and thither, until its parts, meeting together and mutually harmonising, again become earth; for they can never take any other form. But water, when divided by fire or by air, on reforming, may become one part fire and two parts air; and a single volume of air divided becomes two of fire. Again, when a small body of fire is contained in a larger body of air or water or earth, and both are moving, and the fire struggling is overcome and broken up, then two volumes of fire form one volume of air; and when air is overcome and cut up into small pieces, two and a half parts of air are condensed into one part of water. Let us consider the matter in another way. When one of the other elements is fastened upon by fire, and is cut by the sharpness of its angles and sides, it coalesces with the fire, and then ceases to be cut by them any longer. For no element which is one and the same with itself can be changed by or change another of the same kind and in the same state.
Themes
Correspondencecosmology

The Hermetic axiom that the structure of the cosmos is reflected at every scale — 'as above, so below; as within, so without' — making each level a legible map of the others.

The passage establishes a proportional relationship between the mathematical forms of the elements and their physical properties.

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Divine Providencetheology

Pronoia — the doctrine that the divine actively orders the unfolding of the cosmos and human affairs toward intelligible ends, against pure chance or blind necessity.

The text explicitly states that God has exactly perfected and harmonised the properties of the elements according to necessity.

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Living Godtheology

The divine conceived as active, present, and dynamic—not an abstract principle but a personal responsive reality.

God is depicted as actively ordering and harmonizing the universe through necessity.

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Numerical Mysticismtheology

Numbers, proportions, and mathematical relationships as the underlying structure of divine reality.

The passage centrally relies on mathematical forms (triangles, quadrangles) to define the elemental properties and their ratios.

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Unity Of Beingtheology

The doctrine that all existence is ultimately one substance or one divine reality; non-duality as a theological claim.

The text debates whether the elementary forms are truly one or five, indicating a concern with ontological unity.

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Related passages · 7 parallels
neoplatonism|Select Works of Plotinus|Select Works, Section 96 (part 1)
Section 6 6. We may now consider the question whether fire is the sole element existing in that celestial realm and whether there is any outgoing thence with the consequent need of renewal. Timaeus pronounced the material frame of the All…”
Both passages discuss the nature and composition of the elements, particularly focusing on fire, earth, air, and water. They explore the relationships and transformations between these elements, though from different philosophical and mystical perspectives.
neoplatonism|Select Works of Plotinus|Select Works, Section 96 (part 2)
Fire, again: is earth perhaps necessary there since fire is by its own nature devoid of continuity and not a thing of three dimensions? Supposing it does not possess the solidity of the three dimensions, it has that of its thrust; now, can…”
Both passages explore the nature and properties of the elements, particularly fire, and discuss their interactions and transformations. They share a philosophical approach to understanding the fundamental components of the physical world, though from different traditions.
neoplatonism|Select Works of Plotinus|Select Works, Section 126
Section 4 4. The present existence of the Ideal-Forms has been demonstrated elsewhere: we take up our argument from that point. If, then, there is more than one of such forming Ideas, there must of necessity be some character common to all…”
Both passages explore the nature of form and matter, discussing how different forms or elements interact and transform. They share a philosophical inquiry into the underlying principles of reality, though they come from different traditions.
neoplatonism|Select Works of Plotinus|Select Works, Section 414
Section 5 5. How then can a multitude of essential beings be really one? Obviously either the one essence will be entire in all, or the many will rise from a one which remains unaltered and yet includes the one- many in virtue of giving its…”
Both passages explore the concept of unity within multiplicity, discussing how a single essence or principle can manifest in various forms without losing its fundamental unity. Passage A uses the example of a science and its constituents, while Passage B discusses the elemental forms and their relationships, but both convey the idea of an underlying unity in diverse phenomena.
neoplatonism|Select Works of Plotinus|Select Works, Section 542
Section 4 4. If we had to ascertain the nature of body and the place it holds in the universe, surely we should take some sample of body, say stone, and examine into what constituents it may be divided. There would be what we think of as th…”
Both passages explore the nature of fundamental elements and their interactions, seeking to understand the underlying principles that govern their behavior. Plato's passage delves into the geometric and physical properties of elements, while the second passage examines the constituents of body and the Intellectual Substance, both aiming to comprehend the unity and plurality within existence.
neoplatonism|Select Works of Plotinus|Select Works, Section 543
Section 5 5. A first point demanding consideration: Bodies- those, for example, of animals and plants- are each a multiplicity founded on colour and shape and magnitude, and on the forms and arrangement of parts: yet all these elements spri…”
Both passages explore the nature of fundamental elements and their interactions, with a focus on unity and plurality. Plato discusses the elemental forms and their transformations, while the second passage delves into the unity and plurality of the soul and its creative principles. Both texts emphasize the underlying unity from which multiplicity arises.
neoplatonism|Select Works of Plotinus|Select Works, Section 569
Section 8 8. The division into elements must, in short, be abandoned, especially in regard to Sensible Substance, known necessarily by sense rather than by reason. We must no longer look for help in constituent parts, since such parts will…”
Both passages explore the nature of substance and its constituent elements, delving into the relationship between matter, form, and qualities. They share a philosophical inquiry into the fundamental components of reality, though from different traditions.