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PHILOSOPHICAL
μέθεξις (ἡ)

ΜΕΘΕΞΙΣ

LEXARITHMOS 329

Methexis, a foundational philosophical term, describes the act of "participating," that is, of having a share in something. In Platonic philosophy, methexis is the central concept explaining the relationship between sensible particulars and the eternal Forms, where the former "participate" in the essence of the latter. Its lexarithmos (329) suggests a connection to completeness and interdependence.

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Definition

According to the Liddell-Scott-Jones Lexicon, μέθεξις primarily signifies "a sharing, partaking, participation." As a noun, it derives from the verb μετέχω, meaning "to have a share in, to participate in, to take part in." This concept is pivotal in ancient Greek philosophy, particularly in Plato, where it is employed to articulate the relationship between sensible phenomena and the eternal, immutable Ideas or Forms. Sensible objects are understood to "participate" in the Forms, thereby acquiring their existence and specific qualities.

In Plato's metaphysics, methexis is the mechanism by which individual entities in empirical reality acquire their attributes from their corresponding Forms. For instance, a beautiful object is beautiful because it participates in the Form of Beauty. This relationship, though fundamental, became the subject of intense debate and criticism, even by Plato himself in the *Parmenides*, where the difficulties in precisely understanding how this "participation" occurs—without fragmenting the unity of the Form or necessitating a third element—are highlighted.

Subsequently, Aristotle critiqued the Platonic theory of methexis, preferring to explain the relationship between universals and particulars through the concept of immanent form (εἶδος) within matter (ὕλη), rather than a transcendent participation. Nevertheless, the concept of methexis resurfaced with renewed vigor in Neoplatonism, where it was used to describe the hierarchical relationship between the One, Intellect, Soul, and matter, as a process of emanation and participation of lower entities in higher ones. Methexis, therefore, is not merely a word but a philosophical tool for comprehending the structure of reality.

Etymology

μέθεξις ← μετέχω ← μετά + ἔχω (root ἐχ- / sekh-)
The word μέθεξις is a compound, derived from the preposition μετά (which typically denotes 'after,' 'among,' 'change,' but here conveys the sense of 'sharing' or 'participation') and the verb ἔχω ('to have, hold, possess'). This compound forms the verb μετέχω, from which the noun μέθεξις is derived. The etymology of the root ἔχω traces back to the Proto-Indo-European root *seǵʰ- ('to hold, have, overcome'), which has yielded numerous words across various Indo-European languages.

The family of ἔχω is exceptionally rich and includes words such as ἕξις (state, habit), σχέσις (relation), ἀνέχω (to endure), παρέχω (to provide). The addition of μετά- creates a subfamily focused on the concept of participation and commonality, such as μετέχω, μετοχή, μέθεκτος. The semantic progression from 'to have' to 'to have with' and ultimately to 'to participate' is clear and fundamental to understanding methexis.

Main Meanings

  1. Sharing, common possession, participation — The general sense of having a share in something or taking part in an activity. Used in various contexts, from daily life to philosophy.
  2. Platonic participation in the Forms — The central concept in Platonic metaphysics, where sensible objects acquire their existence and qualities by 'participating' in the eternal and perfect Forms. (Plato, *Parmenides*, *Phaedo*).
  3. Universal-particular relation (Aristotle) — Although Aristotle criticized Platonic methexis, the concept of the relationship between the universal (form) and the particular (matter) can be seen as a revised form of 'participation' or inherence.
  4. Neoplatonic emanation and hierarchy — In Neoplatonism, methexis describes the hierarchical emanation of beings from the One. Each lower level of reality (e.g., Soul, matter) 'participates' in the perfection of the higher ones (e.g., Intellect, One) through a process of outflow. (Plotinus, *Enneads*).
  5. Grammatical sense (participle) — As a grammatical term, the 'participle' (μετοχή) is a verbal adjective that 'participates' in both verbal and adjectival properties. This usage reflects the core meaning of methexis.
  6. Social or political involvement — Participation in common affairs, in a community, or in political processes. (Plato, *Republic*, Aristotle, *Politics*).
  7. Mystical or religious communion — In religious or mystical contexts, methexis can refer to spiritual union or communion with the divine, as in Patristic theology, 'theosis' as participation in the uncreated energies of God.

Word Family

ekh- / sekh- (root of ἔχω, meaning 'to have, hold')

The root ἐχ- (from Proto-Indo-European *seǵʰ-) is the basis for the verb ἔχω, meaning 'to have, hold, possess, be in a state.' This root generates a vast family of words related to possession, retention, state, and relation. The addition of the prefix μετά- (here denoting 'among,' 'after,' 'common sharing') to ἔχω creates the verb μετέχω, which shifts the meaning from simple possession to 'common possession' or 'participation.' Thus, the family of methexis develops around the idea of 'having a share' or 'being a part' of a whole or a quality.

μετέχω verb · lex. 1750
The verb from which μέθεξις is derived. It means 'to have a share in, to participate in, to take part in.' It is fundamental to Platonic philosophy, describing the relationship of sensible things to the Forms. (Plato, *Parmenides*).
μέθεκτος adjective · lex. 649
That which can participate, susceptible to participation. Used to characterize things capable of taking part in something, especially Forms or qualities. Often contrasted with ἀμέθεκτος.
ἀμέθεκτος adjective · lex. 650
That which does not participate, not susceptible to participation, unparticipating. An important term in Neoplatonism to describe the One, which participates in nothing, but all things participate in it. (Plotinus, *Enneads*).
μετοχή ἡ · noun · lex. 1023
The act of participating, participation, a share. It is synonymous with methexis and often used interchangeably, especially in philosophical texts. Also, as a grammatical term, the participle (μετοχή) 'participates' in both verbal and adjectival properties.
κοινωνία ἡ · noun · lex. 1011
Communion, fellowship, common sharing, participation. Although derived from a different root (κοινός), κοινωνία is semantically very close to methexis and often used in parallel, especially to describe common ownership or spiritual union. (Plato, *Republic*, New Testament).
ἔχω verb · lex. 1405
The basic verb from which the root of methexis derives. It means 'to have, hold, possess, be in a state.' The meaning of possession is the basis for the concept of 'common possession' or 'participation' expressed by methexis. (Homer, *Iliad*).
ἕξις ἡ · noun · lex. 275
State, habit, quality, possession. Derived directly from ἔχω, it describes a stable condition or a quality that a subject 'possesses.' In Aristotle, ἕξις is an important term for ethical virtue as a stable disposition. (Aristotle, *Nicomachean Ethics*).
μεταλαμβάνω verb · lex. 1270
It means 'to take a share, to participate, to partake.' It is a verb with a similar meaning to μετέχω, emphasizing the act of receiving a part of something. Often used in religious contexts for Holy Communion.

Philosophical Journey

Methexis, albeit with varying nuances, traverses the history of Greek philosophy as a central term for understanding the relationship between particulars and universals, the sensible and the intelligible.

6th-5th C. BCE
Presocratic Philosophers
Early ideas of 'mixture' or 'common sharing' of elements, such as in Anaxagoras with the concept of 'seeds' participating in all things, paving the way for Platonic methexis.
4th C. BCE
Plato
Methexis becomes a fundamental concept for explaining the relationship between sensible particulars and the transcendent Forms. Things 'participate' in the Forms, thereby acquiring their essence and qualities. (Plato, *Parmenides*, *Phaedo*, *Sophist*).
4th C. BCE
Aristotle
Aristotle critiques Platonic methexis, deeming it vague. He prefers to explain the relationship between universals and particulars through the immanent form (εἶδος) within matter, though the concept of 'participation' remains latent in his understanding of the relationship between substance and accidents.
3rd C. BCE - 3rd C. CE
Hellenistic Philosophy
In schools such as Stoicism, the concept of methexis is not central, but the idea of human participation in the universal Logos or common nature retains an analogy with the original meaning.
3rd-6th C. CE
Neoplatonism
Methexis revives and becomes a key term for describing the hierarchical emanation of beings from the One. Each lower level 'participates' in the immediately higher one, maintaining a chain of existence and perfection. (Plotinus, Proclus).
4th-15th C. CE
Patristic Theology
The Church Fathers adopt and adapt the concept of methexis to explain the human-God relationship. 'Theosis' is understood as human participation in the uncreated energies of God, without altering human essence. (St. Athanasius, St. Maximus the Confessor).

In Ancient Texts

Three of the most significant passages that highlight the philosophical importance of methexis:

«οὐ γὰρ ἀπορίαν ἔχω τοῦ μὴ οὐχὶ ἕκαστον τῶν ἄλλων μετέχειν τῆς οὐσίας, ἀλλὰ τοῦ πῶς χρὴ τὴν μέθεξιν αὐτὴν νοῆσαι.»
For I am not at a loss about whether each of the other things participates in essence, but about how one ought to conceive participation itself.
Plato, Parmenides 131a
«οὐδὲν γὰρ ἄλλο ποιεῖ αὐτὸ καλὸν ἢ ἡ ἐκείνου τοῦ καλοῦ παρουσία ἢ κοινωνία ἢ ὅπῃ δὴ καὶ ὅπως προσγενομένη.»
For nothing else makes it beautiful but the presence of that beautiful itself, or its communion, or in whatever way and manner it may be added to it.
Plato, Phaedo 100d
«τὸ μὲν οὖν ἓν οὐ μετέχει οὐδενός, τὰ δὲ μετέχοντα τοῦ ἑνὸς ἕν ἐστι.»
The One, therefore, participates in nothing, but those things which participate in the One are one.
Plotinus, Enneads VI.9.1

Lexarithmic Analysis

The lexarithmos of the word ΜΕΘΕΞΙΣ is 329, from the sum of its letter values:

Μ = 40
Mu
Ε = 5
Epsilon
Θ = 9
Theta
Ε = 5
Epsilon
Ξ = 60
Xi
Ι = 10
Iota
Σ = 200
Sigma
= 329
Total
40 + 5 + 9 + 5 + 60 + 10 + 200 = 329

329 decomposes into 300 (hundreds) + 20 (tens) + 9 (units).

The 18 Methods

Applying the 18 traditional lexarithmic methods to the word ΜΕΘΕΞΙΣ:

MethodResultMeaning
Isopsephy329Base lexarithmos
Decade Numerology53+2+9 = 14 → 1+4 = 5. The Pentad, a number of harmony, union (of odd and even), life, and man. It signifies completion through connection and interaction.
Letter Count77 letters. The Heptad, a number of perfection, completeness, and spiritual fulfillment. It reflects the idea of methexis as a process leading to a fuller existence.
Cumulative9/20/300Units 9 · Tens 20 · Hundreds 300
Odd/EvenOddMasculine force
Left/Right HandRightDivine (≥100)
QuotientComparative method
NotarikonΜ-Ε-Θ-Ε-Ξ-Ι-ΣMagnificent Essence, Theosophical Emanation, Xenial Interconnection, Spiritual Synthesis.
Grammatical Groups3V · 3S · 1M3 vowels (E, E, I), 3 semivowels (M, X, S), 1 mute consonant (Th).
PalindromesNo
OnomancyComparative
Sphere of DemocritusDivination with lunar day
Zodiacal IsopsephyMoon ☽ / Virgo ♍329 mod 7 = 0 · 329 mod 12 = 5

Isopsephic Words (329)

Words from the Liddell-Scott-Jones Lexicon with the same lexarithmos (329) as methexis, but from different roots:

ἀρκής
the adjective 'arkēs' means 'sufficient, capable, self-sufficient.' The concept of self-sufficiency (αὐτάρκεια) is philosophically antithetical to methexis, as self-sufficiency implies independence from external participation.
ἀποκοπή
the noun 'apokopē' means 'a cutting off, severance, separation.' It represents the exact opposite concept of methexis, which implies connection and shared experience.
λίθιος
the adjective 'lithios' means 'stony, made of stone.' Its connection to methexis might be the contrast between the material, rigid nature of stone and the abstract, dynamic concept of participation.
ὀθόνιον
the noun 'othonion' is 'linen cloth, a bandage.' This word belongs to the everyday, material world, in contrast to the abstract and metaphysical nature of methexis.
ἔκδικος
the adjective 'ekdikos' means 'unjust, avenger.' The concept of justice and vengeance is ethical and legal, distant from the ontological and metaphysical significance of methexis.
νεηγενής
the adjective 'neēgenēs' means 'newly born.' The concept of genesis and origin can be linked to methexis as the beginning of things' existence through their participation in the Forms.

The LSJ lexicon contains a total of 32 words with lexarithmos 329. For the full catalog and AI semantic filtering, see the interactive tool.

Sources & Bibliography

  • Liddell, H. G., Scott, R., Jones, H. S.A Greek-English Lexicon, Oxford University Press, 9th ed., 1940.
  • PlatoParmenides, Phaedo, Sophist, Republic.
  • AristotleMetaphysics, Nicomachean Ethics.
  • PlotinusEnneads.
  • ProclusElements of Theology.
  • Diels, H., Kranz, W.Die Fragmente der Vorsokratiker, Weidmannsche Buchhandlung, 6th ed., 1951.
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