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ὁμοιομέρεια (ἡ)

ΟΜΟΙΟΜΕΡΕΙΑ

LEXARITHMOS 421

Homoeomereia, a central concept in the philosophy of Anaxagoras, describes the property of things being composed of infinitely small, qualitatively similar parts. Every object contains "seeds" of all other things, with the predominant ones determining its name. Its lexarithmos (421) suggests a profound structural completeness.

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Definition

“Homoeomereia” (from ὅμοιος “similar” and μέρος “part”) is a term primarily used in ancient Greek philosophy to describe the property of bodies or substances being composed of parts that are qualitatively similar to the whole or to each other. The word was established as a technical term by Aristotle, who used it to characterize Anaxagoras' theory concerning the composition of matter.

According to Anaxagoras, every object consists of infinitely small particles, the “seeds” (σπέρματα), which contain all the qualitative characteristics of the universe. Thus, in a piece of gold, there are seeds of gold, but also seeds of iron, wood, water, and so on; it is simply that the gold seeds are predominant. This idea that “everything is in everything” (πᾶν ἐν παντί) is the essence of homoeomereia.

While Aristotle attributed the term to Anaxagoras, it is not certain that Anaxagoras himself used the noun “homoeomereia.” It is more probable that he used the adjective “homoeomerē” (ὁμοιομερῆ) to describe bodies composed of similar parts, such as flesh, bone, or metal, in contrast to “anomoeomerē” (ἀνομοιομερῆ) (such as a face or hand) which are composed of dissimilar parts. The concept, however, remains central to understanding Anaxagoras' cosmology.

Etymology

homoeomereia ← homoeios + meros (Ancient Greek roots belonging to the oldest stratum of the language)
The word “homoeomereia” is a compound, derived from the adjective “homoeios” (ὅμοιος) and the noun “meros” (μέρος). “Homoeios” means “similar, like, same,” and its root belongs to the oldest stratum of the Greek language. “Meros” means “part, share, portion,” and also originates from an Ancient Greek root. The combination of these two elements creates a word that describes the property of “similarity of parts” or “composition from similar parts.”

From the root of “homoeios” derive words such as “homoiotēs” (ὁμοιότης, similarity), “homoioun” (ὁμοιοῦν, to make similar, assimilate), “homoiōma” (ὁμοίωμα, likeness), “homoiōs” (ὁμοίως, similarly), and “homou” (ὁμοῦ, together). From the root of “meros” derive words such as “merizō” (μερίζω, to divide), “merismos” (μερισμός, division), “meridion” (μερίδιον, share), and “ameristos” (ἀμέριστος, indivisible). “Homoeomereia” and the adjective “homoeomerēs” are compound derivatives that combine the meanings of these two roots, describing a state where constituent parts are similar to the whole or to each other.

Main Meanings

  1. Anaxagoras' theory of matter — The philosophical concept attributed to Anaxagoras, according to which every object consists of infinitely small seeds containing all the qualities of the universe.
  2. Similarity of parts — The general property of a whole or body being composed of parts that are qualitatively similar to the whole or to each other.
  3. Homogeneous composition — The state where the constituent elements of a thing are homogeneous or uniformly distributed.
  4. Medical usage (Galen) — In medicine, homoeomereia refers to the balance and similarity of the body's humors or elements, indicating health.
  5. Rhetorical usage — The similarity of arguments or structures in a rhetorical discourse, contributing to coherence and persuasion.
  6. Contrast to anhomoeomereia — The opposite concept of "anhomoeomereia," where parts are dissimilar and heterogeneous, as in a living organism (e.g., hand, face).

Word Family

homoi- (from ὅμοιος, meaning "similar") and mer- (from μέρος, meaning "part")

The family of words formed from the roots "homoi-" and "mer-" or their individual roots explores the concepts of similarity, division, and composition. The root "homoi-" (from ὅμοιος) refers to identity or analogy, while the root "mer-" (from μέρος) denotes separation or partitioning. The compound of these two, as in "homoeomereia," creates a rich conceptual area concerning the structure of reality, homogeneity and heterogeneity, and the interaction between the whole and its parts. These roots belong to the oldest stratum of the Greek language and are fundamental for describing the world.

ὅμοιος adjective · lex. 460
Meaning "similar, like, same." It forms the basis for the concept of similarity in "homoeomereia." Widely used throughout ancient Greek literature, from Homer to the philosophers, to describe analogy or identity.
μέρος τό · noun · lex. 415
Meaning "part, share, portion." The second compound root of "homoeomereia," signifying division and composition. A fundamental word for describing the structure of things, from Hesiod to the philosophers.
ὁμομερής adjective · lex. 533
The adjective meaning "composed of similar parts, homoeomerous." Used by Aristotle to describe bodies whose parts are similar to the whole (e.g., flesh, bone), in contrast to "anhomoeomerē" (e.g., hand, face).
ὁμοιότης ἡ · noun · lex. 768
Meaning "likeness, similar nature." A derivative of "homoeios," it expresses the abstract concept of similarity, central to Platonic and Aristotelian discussions about Ideas and categories.
ὁμοιοῦν verb · lex. 710
Meaning "to make similar, assimilate, compare." The verb expressing the action of becoming similar. Often used in philosophical texts for simulation or imitation.
ἀνόμοιος adjective · lex. 511
Meaning "unlike, dissimilar." The opposite of "homoeios," it emphasizes heterogeneity and difference. Important for understanding Anaxagoras' distinction between "homoeomerous" and "anhomoeomerous" bodies.
μερίζω verb · lex. 962
Meaning "to divide, share, distribute." The verb derived from "meros," expressing the action of dividing into parts. Essential for understanding composition and dissolution in ancient natural philosophy.
ἀμέριστος adjective · lex. 926
Meaning "indivisible, without parts." The opposite of "meristos," it denotes unity and an indivisible nature. Often used in theological and metaphysical contexts to describe the divine or primordial substance.

Philosophical Journey

"Homoeomereia" is a term that, while inextricably linked to Anaxagoras, its history as a technical concept was primarily shaped through Aristotle's interpretation and critique, influencing philosophical thought for centuries.

5th C. BCE (c. 500-428 BCE)
Anaxagoras
Anaxagoras of Clazomenae develops his theory of matter, where all things are composed of infinitely small "seeds" containing all qualitative characteristics. Although he himself did not use the term "homoeomereia" as a noun, the idea of the similarity of parts is central to his cosmology.
4th C. BCE (384-322 BCE)
Aristotle
Aristotle is the one who establishes "homoeomereia" as a technical philosophical term, using it to describe and critique Anaxagoras' theory. In his "Physics," he analyzes the concept of "homoeomerous" bodies.
3rd C. BCE (c. 371-287 BCE)
Theophrastus
A student of Aristotle, Theophrastus, in his work "On Physical Opinions," continues the analysis of Anaxagorean philosophy, retaining the term "homoeomereia" in philosophical terminology.
2nd C. CE (129-216 CE)
Galen
The renowned physician Galen employs the concept of homoeomereia within a medical context, referring to the similarity and balance of the body's constituents, such as humors, as an indicator of health.
3rd-6th C. CE
Neoplatonic Philosophers
Although not central, the concept of homoeomereia occasionally appears in Neoplatonic texts, often in discussions about the composition of the cosmos and the relationship of the whole to its parts, influenced by Aristotelian interpretation.
Modern Era
Scientific and Philosophical Revival
The concept of homoeomereia, though not by its original term, finds analogies in modern scientific theories regarding the homogeneity of materials or fractal structures, where parts replicate the structure of the whole.

In Ancient Texts

The understanding of "homoeomereia" is primarily based on fragments of Anaxagoras and the critical analysis by Aristotle.

«ἐν παντὶ παντὸς μοῖρα ἔνεστι πλὴν νοῦ, νοῦς δέ ἔστιν ἄπειρον καὶ αὐτοκρατὲς καὶ μέμικται οὐδενὶ χρήματι, ἀλλὰ μόνος αὐτὸς ἐπ' ἑωυτοῦ ἐστιν.»
“In everything there is a portion of everything, except Mind; but Mind is infinite and self-ruled, and is mixed with nothing, but is alone by itself.”
Anaxagoras, Fragments (DK 59 B12)
«τὰ μὲν γὰρ ὁμοιομερῆ, οἷον σάρκες καὶ ὀστᾶ καὶ τὰ τοιαῦτα, πᾶν μέρος ὁμώνυμον ἔχει τῷ ὅλῳ, τὰ δ' ἀνομοιομερῆ, οἷον χεὶρ καὶ πρόσωπον, οὐκ ἔχει.»
“For the homoeomerous, such as flesh and bones and such like, every part has the same name as the whole, but the anhomoeomerous, such as a hand and a face, do not.”
Aristotle, Physics A.4, 187a23-26
«καὶ γὰρ ἐκεῖνος φησι πᾶν ἐν παντὶ εἶναι, καὶ διὰ τοῦτο ἐκ παντὸς πᾶν γίνεσθαι.»
“For he too says that everything is in everything, and for this reason everything comes to be out of everything.”
Aristotle, On the Heavens G.3, 302a28-29 (referring to Anaxagoras)

Lexarithmic Analysis

The lexarithmos of the word ΟΜΟΙΟΜΕΡΕΙΑ is 421, from the sum of its letter values:

Ο = 70
Omicron
Μ = 40
Mu
Ο = 70
Omicron
Ι = 10
Iota
Ο = 70
Omicron
Μ = 40
Mu
Ε = 5
Epsilon
Ρ = 100
Rho
Ε = 5
Epsilon
Ι = 10
Iota
Α = 1
Alpha
= 421
Total
70 + 40 + 70 + 10 + 70 + 40 + 5 + 100 + 5 + 10 + 1 = 421

421 is a prime number — indivisible, a quality the Pythagoreans considered the mark of pure essence.

The 18 Methods

Applying the 18 traditional lexarithmic methods to the word ΟΜΟΙΟΜΕΡΕΙΑ:

MethodResultMeaning
Isopsephy421Prime number
Decade Numerology74+2+1=7 — The Heptad, a number of completeness, perfection, and cosmic order, reflecting the idea that homoeomereia describes a full and coherent structure of the universe.
Letter Count1111 letters — The Hendecad, a number of transition, transcendence, and revelation, suggesting Anaxagoras' attempt to transcend previous cosmologies and reveal a new structure of matter.
Cumulative1/20/400Units 1 · Tens 20 · Hundreds 400
Odd/EvenOddMasculine force
Left/Right HandRightDivine (≥100)
QuotientComparative method
NotarikonH-O-M-O-E-O-M-E-R-E-I-AHomogeneous Order Manifesting Omnipresent Elements, Revealing Essential Identity of All. (Interpretive)
Grammatical Groups6V · 5C · 0D6 vowels (O, O, I, O, E, E, I, A), 5 consonants (M, M, R), 0 diphthongs. The abundance of vowels suggests fluidity and coherence, characteristics consistent with the idea of indivisible and omnipresent seeds.
PalindromesNo
OnomancyComparative
Sphere of DemocritusDivination with lunar day
Zodiacal IsopsephyMercury ☿ / Taurus ♉421 mod 7 = 1 · 421 mod 12 = 1

Isopsephic Words (421)

Words from the Liddell-Scott-Jones lexicon with the same lexarithmos 421, but different roots, offering a glimpse into the numerical coexistence of concepts.

ἴασις
"iasis" (healing, cure) — The numerical connection of "homoeomereia" with "iasis" may suggest the idea that the similarity and balance of parts are a prerequisite for health and restoration, as argued by Galen.
καπνός
"kapnos" (smoke) — A more earthly and fleeting concept, "kapnos" contrasts with the stable and structural nature of "homoeomereia," highlighting the diversity of words sharing the same number.
λήθαργος
"lēthargos" (lethargy, forgetfulness) — The connection with "lēthargos" can be interpreted as the loss of coherent structure or similarity, leading to a state of inertia or confusion, contrary to the clarity of Anaxagoras' structure.
οἰκετεία
"oiketeia" (household service, servitude) — This word refers to social structure and hierarchy, offering an interesting parallel thought: just as "homoeomereia" describes the structure of matter, so "oiketeia" describes the structure of society.
ὅρισμα
"horisma" (definition, boundary, limit) — The numerical identity with "horisma" is particularly apt, as Anaxagoras' "homoeomereia" attempts to define and precisely describe the primordial structure of matter, setting the boundaries of its understanding.
πρόκριμα
"prokrima" (prejudice, pre-judgment) — The connection with "prokrima" may imply that understanding "homoeomereia" requires overcoming prejudices and seeking the deeper, uniform truth behind apparent differences.

The LSJ lexicon contains a total of 75 words with lexarithmos 421. 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, 9th ed. with revised supplement. Oxford: Clarendon Press, 1996.
  • Diels, H., Kranz, W.Die Fragmente der Vorsokratiker. Berlin: Weidmannsche Buchhandlung, 1951-1952. (Abbreviation: DK)
  • AristotlePhysics. Translated, with commentary and introduction. Loeb Classical Library.
  • AristotleOn the Heavens. Translated, with commentary and introduction. Loeb Classical Library.
  • TheophrastusDe Sensibus. Translated and commented.
  • GalenDe Temperamentis. Translated and commented.
  • Kirk, G. S., Raven, J. E., Schofield, M.The Presocratic Philosophers: A Critical History with a Selection of Texts. 2nd ed. Cambridge: Cambridge University Press, 1983.
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