[1.2.4] Plato’s Cosmology in Timaeus

Plato (429?-347 BC) presents its views about cosmology in the dialogue Timaeus.  He identifies this cosmology as a whole as a myth (eikōs muthos) – a real and probable explanation of the history and structure of the Universe. In his work, he uses and combines different ideas from its predecessors:

  • the existence of a divine mind, intellect (Anaxagoras)
  • the four elements (Empedocles)
  • the world is based on mathematics; the elements are made up of triangles (Pythagoras)
  • the Universe is constantly changing, is in state of becoming (Heraclitus)

The following OntoUML diagram shows the main classes of his cosmology:

Plato’s cosmology
ClassDescriptionRelations
Intellect“It is reasonable to conclude that Intellect is a sui generis substance that transcends the metaphysical dichotomy of being and becoming—possibly not unlike the Judaeo-Christian conception of God.”
GodGodgeneralizes Demiurge and LesserGod
Demiurge“The universe exists and manifests goodness because it is the handiwork of a supremely good, ungrudging Craftsman [Demiurge], who brought order to an initially disorderly state of affairs… the Craftsman seems to be an anthropomorphic representation of Intellect.”
The Demiurge looks to the Form when creates the Universe.
represents Intellect; creates Universe; creates HumanSoul; looks to the Form
Form Forms are immaterial, non-spatial and atemporal […] Forms are […] perfect and what particulars strive to be like but fall short of […] Forms are simple or incomposite, of one form (monoeidetic). Forms are the objects of knowledge, grasped by the intellect through definitions […] Forms are pure, simple or uniform (monoeidetic, hen).” (Silverman)(see [1.2.1]) is shared part of Particulars
Receptacle Receptacle is “an enduring substratum, neutral in itself but temporarily taking on the various characterizations. The observed particulars just are parts of that receptacle so characterized…
The receptacle has been seen as serving either as material substratum or as some form of space or as combining both roles. Timaeus’ account of the receptacle presents several interpretive difficulties, some of which will be discussed below. In the “pre-cosmic” state (the state “prior to” the intervention of the Craftsman) the receptacle is subject to erratic and disorderly motions, and moves its contents in turn.”
Receptacle is a third kind (triton genos) – besides Form and Particular.
is where Particular’s becoming takes place
ParticularParticulars are dependent on Forms whereas Forms are not dependent on them. Particulars strive to be such as the Forms are and thus in comparison to Forms are imperfect or deficient treat Partaking as a relation between material particulars and Forms, the result of which is that the particular is characterized by the Form of which it partakes…” (Silverman) (see [2.1])
LivingThing The universe is a living thing. subkind of Particular
UniverseUniverse “is a living thing (zô[i]on, also translatable as ‘animal’), because it is better for it to possess intelligence than to lack it, and the acquisition of intelligence by anything requires the acquisition of soul. It is complete, and thus it includes within itself all the species of living things as its parts. It is unique, because its model is unique; the uniqueness of the model follows from its completeness.”subkind of LivingThing
World’sBody “The shape of the universe’s body—a sphere—and the characteristics it possesses or lacks are all explained in terms of their various purposes.”is exclusive part of Universe
World’Soul “The composition of the world’s soul out of a harmonically proportionate series of portions of a mixture of both divisible and indivisible Sameness, Difference and Being, and the division of these portions into two intersecting circles (of the Same and of the Different) explain the cognitive powers of the soul in relation to the different types of objects of cognition: those that are and those that become.” is exclusive part of Universe
Sameness, Difference, Beingare shared parts of World’sSoulare shared parts of World’sSoul
HeavenlyBody “The heavenly bodies are divine and move in their various orbits to serve as markers of time: the fixed stars to mark a day/night, the moon to mark the (lunar) month and the sun to mark the year. Time itself came into being with these celestial movements as an ‘image of eternity.'” is exclusive part of Universe
Element “The world’s body is composed of fire (for visibility) and earth (for tangibility), but these so-called elements require the mediation of air and water in a progression of proportion to bind them together into a unified, concordant whole.”component of Particulars (e.g. LivingThing; Universe; HumanBeing
FireFire is made up of particles in form of a regular tetrahedron (four-sided geometrical solid), with 6 scalene triangles making up each equilateral face of the tetrahedron.subkind of Element
EarthEarth is made up of particles in form of cube (six-sided geometrical solid), with 4 isosceles triangles making up each square face of the cube.subkind of Element
Water Water is made up of particles in form of regular icosahedron (20-sided geometrical solid), with 6 scalene triangles making up each equilateral face of the icosahedron. subkind of Element
Air Air is made of particles in form of regular octohedron (8-sided geometrical solid), with 6 scalene triangles making up each equilateral face of the octohedron.” subkind of Element
Scalene Triangle with 30°-60°-90° angles. is Triangle; is shared part of Fire, Water, Air
Isosceles Triangle with 45°-45°-90° angles. is Triangle; is shared part of Earth
TriangleTriangle is the simplest and the most perfect polygon.
God “While the Craftsman has created the individual souls, he delegates the creation of the human bodies to the lesser, created gods.”
Gods are Chronos, Zeus, Hera etc…
is a LivingThing; creates HumanBody
HumanBeing HumanBeing is a combination of on immortal human soul and a mortal human body.
HumanSoul “Individual [human] soul is are made up of the residue (and an inferior grade) of the soul stuff of the universe, and are eventually embodied in physical bodies. This embodiment throws the previously regular motions of the soul into confusion as the soul is subjected to the forceful disturbances of internal bodily processes as well as the impact of external bodies upon it, particularly in sense experience. These disturbances gravely impair the soul’s cognitive functioning; only with appropriate nurture and education can its original motions be reestablished and proper cognitive functioning be restored. The body and its parts were designed to support that functioning, and Timaeus takes the design of the eyes and the mechanics of vision as an important case in point.” (See also [2.2].)is exclusive part of HumanBeing
HumanBody“As individual immortal (and rational) souls are embodied in mortal [human] bodies, the embodiment requires the further creation of the “mortal” parts of the soul—the spirited and appetitive parts, familiar from the Republic and the Phaedrus. These parts are assigned their respective locations in the body: the immortal and rational soul in the head, and the two parts of the mortal soul in the trunk: the spirited part in the chest (nearer to the head) and the appetitive part in the belly. The various organs in the trunk—the lungs and heart in the chest and the liver in the belly—support the functions of their resident soul parts.”is exclusive part of HumanBeing

Sources

First published: 24/10/2019
Updated: 2/1/2022

[1.2.3] Naturalism and Conventionalism in Plato’s Cratylus

Plato (429?-347 BC) in his work Cratylus discusses the “correctness of names” a much discussed topic in the fifth century BC. In this work Socrates has two primary interlocutors, who present and defend two teories:

  • Hermogenes, an extreme linguistic conventionalist “holds that nothing but local or national convention determines which words are used to designate which objects. The same names could have been attached to quite different objects, and the same objects given quite different names, so long as the users of the language were party to the convention.” (Silverman)
  • “Cratylus, as an extreme linguistic naturalist, holds that names cannot be arbitrarily chosen in the way that conventionalism describes or advocates, because names belong naturally to their specific objects. If you try to speak of something with any name other than its natural name, you are simply failing to refer to it at all. For example, he has told Hermogenes to the latter’s intense annoyance, Hermogenes is not actually his name.” (Silverman)

Plato’s conventionalism is pictured in the following OntoUML diagram:

Conventionalism in Plato’s (429?-347 BC) Cratylus
ClassDescriptionRelations
Form“What many things have in common, or a feature they share, is a universal or, in Plato’s terms, a Form. Of course there seems to be a huge number of properties. Many different things are white. Many different things are animals. Each (shared) property is a universal—a ‘one over many instances,’ whiteness over the many white things, roundness over the many round things, and so on. Thus, for Plato, Roundness and Whiteness are Forms. […] Forms are immaterial, non-spatial and atemporal […] Forms are […] perfect and what particulars strive to be like but fall short of . […] Forms are simple or incomposite, of one form (monoeidetic). Forms are the objects of knowledge, grasped by the intellect through definitions. […] Forms are pure, simple or uniform (monoeidetic , hen). (Silverman) See also [1.2.1]. is shared part of NameBearerObject
NameBearerObjectA name-bearer object, an object, a particular with a name.subkind of Particular; in material relation with Name
Convention“An extreme linguistic conventionalist like Hermogenes holds that nothing but local or national convention determines which words are used to designate which objects.” (Sedley)relates NameBearerObject with Name
Name“The plural onomata names, in fact varies between being (a) a general term for ‘words’, (b) more narrowly, nouns, or perhaps nouns and adjectives, and (c) in certain contexts, proper names alone. In (a), the most generic use, it comes to designate language as such. Ultimately, for this reason, the Cratylus is Plato’s dialogue about language, even if the elements of language on which it concentrates are in fact mainly nouns. Proper names are included among these nouns, and at times are treated as paradigmatic examples of them.”(Sedley)subkind of Particular
ParticularParticulars are dependent on Forms whereas Forms are not dependent on them. Particulars strive to be such as the Forms are and thus in comparison to Forms are imperfect or deficient treat Partaking as a relation between material particulars and Forms, the result of which is that the particular is characterized by the Form of which it partakes…” (Silverman)

Plato’s nominalism is pictured in the following OntoUML diagram:

Nominalism in Plato’s (429?-347 BC) Cratylus

ClassDescriptionRelations
Form“What many things have in common, or a feature they share, is a universal or, in Plato’s terms, a Form. Of course there seems to be a huge number of properties. Many different things are white. Many different things are animals. Each (shared) property is a universal—a ‘one over many instances,’ whiteness over the many white things, roundness over the many round things, and so on. Thus, for Plato, Roundness and Whiteness are Forms.” (Silverman) See also [1.2.1].is shared part of NameBearerObject
SpecificFormOfTheName“The relevant name Forms for a name-maker to look to, Socrates makes clear, will not be simply the generic Form of name, but also one of its species, the specific Form of the name currently being sought.” (Sedley)subkind of Form; is shared part of Name
NameBearer_ObjectA name-bearer object, an object with a name.
Name“The plural onomata ‘names’, in fact varies between being (a) a general term for ‘words’, (b) more narrowly, nouns, or perhaps nouns and adjectives, and (c) in certain contexts, proper names alone. In (a), the most generic use, it comes to designate language as such.
[…]
names cannot be arbitrarily chosen in the way that conventionalism describes or advocates, because names belong naturally to their specific objects. If you try to speak of something with any name other than its natural name, you are simply failing to refer to it at all… 
This leads to a long central section in which Socrates’ version of naturalism is spelt out by appeal to proposed etymologies of philosophically important words: those words, it turns out, have not been attached in a merely arbitrary way to their objects, but are encoded descriptions of them.” (Sedley)
is shared part of NameBearerObject
OriginalName“Those original names have survived into today’s language, but corrupted by sound-shifts over the centuries, so that to discern their originally intended message requires special expertise. […]
the name-maker.. must turn his mind’s eye to the appropriate Form, which he then embodies in the materials at his disposal, just as a carpenter making a shuttle or drill, having turned his mind’s eye to the appropriate Form, then embodies it in the particular wood or metal at his disposal. In the case of name-making, the appropriate material is not wood or metal, but vocal sound. Implicitly, just as the same shuttle Form can be embodied in various woods and metals, so too the same name Form can be embodied with equal success in the various sound systems that different languages employ.” (Sedley) 
is phase of Name
PresentNamePresent names are corrupted names in today’s language.is phase of Name
ParticularParticulars are dependent on Forms whereas Forms are not dependent on them. Particulars strive to be such as the Forms are and thus in comparison to Forms are imperfect or deficient treat Partaking as a relation between material particulars and Forms, the result of which is that the particular is characterized by the Form of which it partakes…” (Silverman)


NOTE: in these diagrams I used OntoUML notation.

Sources

First published: 13/03/2019
Updated: 05/11/2020