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δεύτερον (τό)

ΔΕΥΤΕΡΟΝ

LEXARITHMOS 934

The concept of δεύτερον, not merely as an ordinal number, but as a fundamental principle in cosmology, philosophy, and science. From the Pythagoreans who sought duality in the harmony of the cosmos, to Aristotle who distinguished "primary" and "secondary" substances, δεύτερον signifies repetition, support, order, and hierarchy. Its lexarithmos (934) suggests a complex completeness and organization.

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Definition

«Δεύτερον» is the neuter form of the adjective «δεύτερος, -α, -ον», meaning "the next after the first," or "second in order or rank." The word derives from the cardinal number «δύο» (two) and denotes the concept of duality, repetition, or support. In classical Greek thought, its significance transcends simple numerical sequencing, acquiring profound philosophical and scientific dimensions.

In philosophy, «δεύτερον» is frequently employed to denote something derivative, secondary, or subordinate in relation to a "first" principle or substance. Aristotle, for instance, distinguishes between "primary substances" (individual particulars) and "secondary substances" (the genera and species to which primary substances belong), emphasizing their logical relationship and hierarchy. This distinction is central to understanding his ontology.

In mathematics and science, «δεύτερον» refers to successive units or degrees. In astronomy, it might denote a second motion or a second sphere. More broadly, the word embodies the idea of continuity, succession, and organization, where each element holds its place within a structured sequence. Its presence in the language reflects the need for classification and comprehension of the world through distinction and order.

Etymology

δεύτερον ← δεύτερος ← δύο (Ancient Greek root belonging to the oldest stratum of the language)
The word «δεύτερον» originates from the Ancient Greek cardinal number «δύο» (two), which represents one of the fundamental numerical concepts in the language. The root du-/deu- is Ancient Greek and belongs to the oldest stratum of the language, with no further derivation to non-Greek sources being possible. The evolution from «δύο» to «δεύτερος» (and by extension to «δεύτερον») follows a common pattern of forming ordinal numbers from cardinal numbers in the Greek language.

From the same root du-/deu- derive numerous words expressing duality, repetition, division, or order. Cognate words include the adverb «δίς» (twice), the adjective «διπλοῦς» (double), and the verb «διχοτομέω» (to cut in two). Furthermore, the preposition «διά» often implies separation or distinction, although its etymological connection to «δύο» is not always direct in all its uses, it frequently relates to the concept of "through" or "apart."

Main Meanings

  1. Second in order or rank — The basic numerical and ordinal meaning, that which follows the first. E.g., «τὸ δεύτερον μέρος» (the second part).
  2. Secondary, subordinate — Signifying something of lesser importance or value compared to the first. E.g., «δεύτερον τὸ κέρδος, πρῶτον ἡ ἀρετή» (second is profit, first is virtue).
  3. Additional, supplementary — Something that comes as a supplement or repetition. E.g., «δεύτερον πλοῦν» (a second voyage, i.e., an alternative plan).
  4. Double, twofold — In certain contexts, it can imply a dual nature or quantity, though other words are more commonly used for this. E.g., «δεύτερον ἔχει νόημα» (it has a double meaning).
  5. In ontology, secondary substance — In Aristotelian philosophy, the genera and species to which primary substances belong. E.g., «αἱ δεύτεραι οὐσίαι» (the secondary substances).
  6. In cosmology, secondary cause — A cause that is not primary but derivative or intermediate. E.g., «δεύτεραι αἰτίαι» (secondary causes).
  7. In grammar, second person — Referring to the second grammatical person (you/ye). E.g., «τὸ δεύτερον πρόσωπον».

Word Family

du- / deu- (root of the cardinal number δύο)

The root du- / deu- forms the basis for a series of words in Ancient Greek that express the concept of duality, repetition, division, or order. Originating from the fundamental cardinal number «δύο» (two), this root has given rise not only to ordinal numbers like «δεύτερος» but also to adverbs, adjectives, and verbs describing states or actions related to pairs or separation. Its semantic range extends from simple quantity to philosophical distinctions and scientific classifications.

δύο cardinal number · lex. 474
The basic cardinal number meaning "two." It is the root from which «δεύτερον» is derived. In ancient Greek philosophy, especially among the Pythagoreans, the dyad was a fundamental principle of the cosmos, often associated with multiplicity and indefiniteness.
δεύτερος adjective · lex. 1084
The ordinal number meaning "second in order or rank." The neuter form «δεύτερον» is derived from this adjective. It is widely used across all periods of the Greek language to denote succession, as in Aristotle's "secondary substances."
δίς adverb · lex. 214
Meaning "twice," or "doubly." It expresses the repetition of an action or the multiplicative property of two. It frequently appears in phrases like «δίς τε καὶ τρίς» (two or three times) to indicate frequency or repetition.
διπλοῦς adjective · lex. 794
Meaning "double, twofold." It describes something composed of two parts or having a double quantity. In Herodotus, for example, we find the phrase «διπλοῦν τὸν μισθόν» (double pay), emphasizing quantitative increase.
δισσός adjective · lex. 684
Meaning "double, twofold, doubtful." It is often used to denote something with two aspects or that is ambiguous. In tragic poets, it can refer to a dual nature or a double fate, as in Aeschylus.
δια- preposition/prefix · lex. 15
As a preposition and prefix, «δια-» denotes separation, division, diffusion, or passage. Although its etymological connection to «δύο» is not always direct, the concept of "through" or "separation into parts" often alludes to a binary distinction. E.g., «δια-τέμνω» (to cut in two).
διχοτομέω verb · lex. 1999
Meaning "to cut in two, to divide into two equal parts." It is a clear term derived from «δίχα» (in two) and «τέμνω» (to cut), expressing the act of binary division. It is used in geometrical and philosophical texts.
Δευτερονομία ἡ · noun · lex. 1055
The name of the fifth book of the Old Testament, meaning "second law" or "repetition of the law." It refers to the restatement of laws given to Moses, highlighting the importance of repetition and continuity of tradition. The English name 'Deuteronomy' is derived from this Greek term.

Philosophical Journey

The concept of "second" as a numerical and ordinal sequence is ancient, but its philosophical and scientific dimensions were particularly developed in classical Greece, profoundly influencing Western thought.

8th-6th C. BCE
Homeric Era
The word «δύο» and the adverb «δίς» are already in use, denoting the basic numerical concept of duality. The ordinal number «δεύτερος» appears for sequence.
6th-5th C. BCE
Presocratic Philosophers
The Pythagoreans developed the concept of the dyad as a cosmic principle, often associated with indefiniteness and multitude, in contrast to the monad. Duality becomes a fundamental element of their cosmology.
4th C. BCE
Plato
Plato uses «δεύτερον» to distinguish between primary and secondary elements or causes, particularly in his cosmogony (e.g., in the «Timaeus») where «δεύτεραι αἰτίαι» are subordinate to divine ones.
4th C. BCE
Aristotle
Aristotle systematizes the distinction between "primary" and "secondary" substances in his «Categories», making «δεύτερον» a central term in his ontology and logic. He also refers to "second-order" knowledge.
3rd C. BCE - 2nd C. CE
Hellenistic Period
The use of «δεύτερον» expands into scientific texts (mathematics, astronomy) to describe successive stages, degrees, or calculations. The «Deuteronomy» of the Septuagint is an example of religious usage.
3rd-5th C. CE
Neoplatonism
Neoplatonic philosophers, such as Plotinus, use «δεύτερον» to describe the hierarchical emanation of beings from the One, where the Intellect is "second" after the One and the Soul "third."

In Ancient Texts

The philosophical and scientific significance of «δεύτερον» is highlighted in the texts of classical authors, where the word transcends its simple numerical function.

«τῶν ὄντων τὰ μέν ἐστιν οὐσίαι, τὰ δὲ συμβεβηκότα. οὐσίαι δὲ αἱ μὲν πρῶται, αἱ δὲ δεύτεραι.»
Of existing things some are substances, others are accidents. And of substances, some are primary, others secondary.
Aristotle, Categories 2a11-12
«δεύτερον δὲ πλοῦν φασιν εἶναι τὸν διὰ τῶν λόγων.»
They say that the second best voyage is that by means of arguments.
Plato, Phaedo 99d
«καὶ ἐγένετο ἑσπέρα καὶ ἐγένετο πρωΐ, ἡμέρα δευτέρα.»
And there was evening, and there was morning—the second day.
Old Testament, Genesis 1:8 (Septuagint Translation)

Lexarithmic Analysis

The lexarithmos of the word ΔΕΥΤΕΡΟΝ is 934, from the sum of its letter values:

Δ = 4
Delta
Ε = 5
Epsilon
Υ = 400
Upsilon
Τ = 300
Tau
Ε = 5
Epsilon
Ρ = 100
Rho
Ο = 70
Omicron
Ν = 50
Nu
= 934
Total
4 + 5 + 400 + 300 + 5 + 100 + 70 + 50 = 934

934 decomposes into 900 (hundreds) + 30 (tens) + 4 (units).

The 18 Methods

Applying the 18 traditional lexarithmic methods to the word ΔΕΥΤΕΡΟΝ:

MethodResultMeaning
Isopsephy934Base lexarithmos
Decade Numerology79+3+4 = 16 → 1+6 = 7 — The Heptad, a number of completeness, perfection, and spiritual fulfillment.
Letter Count88 letters — The Octad, a number of regeneration, new beginnings, and harmony.
Cumulative4/30/900Units 4 · Tens 30 · Hundreds 900
Odd/EvenEvenFeminine force
Left/Right HandRightDivine (≥100)
QuotientComparative method
NotarikonΔ-Ε-Υ-Τ-Ε-Ρ-Ο-ΝΔύναμις Ἑνὸς Ὑπέρτατου Τάγματος Ἑνώνει Ροήν Ὁλόκληρον Νόμου (The Power of a Supreme Order Unites an Entire Flow of Law).
Grammatical Groups4Φ · 2Υ · 2Α4 vowels (Ε, Υ, Ε, Ο), 2 liquids (Ρ, Ν), 2 mutes (Δ, Τ).
PalindromesNo
OnomancyComparative
Sphere of DemocritusDivination with lunar day
Zodiacal IsopsephySun ☉ / Aquarius ♒934 mod 7 = 3 · 934 mod 12 = 10

Isopsephic Words (934)

Words from the Liddell-Scott-Jones lexicon with the same lexarithmos (934) as «δεύτερον», but from different roots, reveal interesting coincidences in the numerology of the Greek language.

ἀδιάτμητος
"that which cannot be cut through, indivisible." The isopsephy with «δεύτερον» is notable, as «δεύτερον» derives from «δύο» (division), while «ἀδιάτμητος» denotes the absence of division. A numerical coincidence bringing together opposing concepts.
καταγραφή
"a written record, an inventory." The connection to «δεύτερον» can be interpreted as the recording of secondary elements or a second record, complementing the first.
οὐδέποτε
"never, at no time." The isopsephy with «δεύτερον» might suggest the idea that something that never happens can be neither first nor second, or that absence is a state beyond sequence.
πρόσδοσις
"an addition, a further giving." Here, the isopsephy can be linked to the idea of "second" as something added to the first, a supplementary quantity or action.
φιλέριθος
"fond of strife, contentious." An interesting contrast, as «δεύτερον» implies order and sequence, while the contentious person disrupts order with discord.
ἐπιγελάω
"to laugh at, to mock." This isopsephy could be interpreted as a "second" laugh, one that follows a first, or a laugh that carries a secondary, perhaps ironic, meaning.

The LSJ lexicon contains a total of 50 words with lexarithmos 934. 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.
  • AristotleCategories. Translated by J. L. Ackrill. Clarendon Press, 1963.
  • PlatoPhaedo. Translated by G. M. A. Grube. Hackett Publishing Company, 1977.
  • SeptuagintThe Old Testament in Greek. Edited by A. Rahlfs and R. Hanhart. Deutsche Bibelgesellschaft, 2006.
  • Kirk, G. S., Raven, J. E., Schofield, M.The Presocratic Philosophers. Cambridge University Press, 2nd ed., 1983.
  • Palmer, L. R.The Greek Language. University of Oklahoma Press, 1996.
  • Chantraine, P.Dictionnaire étymologique de la langue grecque. Klincksieck, 1968.
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