LOGOS
ETHICAL
κατόρθωμα (τό)

ΚΑΤΟΡΘΩΜΑ

LEXARITHMOS 1341

The word κατόρθωμα, with a lexarithmos of 1341, encapsulates the concept of successfully completing an action, achieving a goal, and particularly, in ancient Greek philosophy, the morally correct and perfect action. From simple everyday success to the highest virtue of the Stoics, *κατόρθωμα* signifies alignment with what is "right" or "straight."

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Definition

The term «κατόρθωμα» (katorthoma, neuter noun) describes the act of successful completion or rectification. Composed of the preposition «κατά» (here indicating completeness or direction downwards/towards an end) and the root of «ὀρθός» (straight, right), it implies the achievement of a goal in a manner that is both effective and ethically appropriate. In classical usage, it could refer to any successful endeavor, from a military victory to the completion of a project.

The meaning of the word deepens significantly in ancient Greek philosophy, where *κατόρθωμα* acquires strong ethical connotations. For the Stoics, in particular, *κατόρθωμα* is not merely a successful action, but a "perfect action," a *καθῆκον* (duty) performed with full virtue and in accordance with right reason. It is the action that springs from wisdom and a virtuous disposition, making it not only effective but also morally impeccable.

Thus, *κατόρθωμα* transcends mere success to become a symbol of moral perfection. It concerns not only the outcome but also the manner, the intention, and the alignment with the principles of virtue. This word, therefore, constitutes a cornerstone in understanding the ancient Greek conception of ethical action and achievement.

Etymology

κατόρθωμα ← κατορθόω ← κατά- + ὀρθόω ← ὀρθός (root ὀρθ-)
The word «κατόρθωμα» derives from the verb «κατορθόω», which is a compound of the preposition «κατά» and the verb «ὀρθόω». The root «ὀρθ-» belongs to the oldest stratum of the Ancient Greek language and signifies "straight, correct, right." The preposition «κατά» in this compound functions intensively, denoting the complete or successful execution of an action, or a direction "downwards" in the sense of completion.

From the root «ὀρθ-» spring many words related to straightness, correct direction, rectitude, and success. The verb «ὀρθόω» means "to straighten, to correct, to make right." The adverb «ὀρθῶς» denotes correct execution or judgment. The compound with the preposition «κατά» creates the verb «κατορθόω» ("to succeed, to rectify completely") and the noun «κατόρθωσις» ("achievement, rectification"). Other cognate words, such as «ὀρθόδοξος» ("of right opinion or belief") or «ὀρθογραφία» ("correct writing"), highlight the broad application of the concept of "rightness" in various domains.

Main Meanings

  1. Rectification, setting straight — The act of bringing something into a correct position or state.
  2. Successful accomplishment, achievement — The successful execution of a task or the attainment of a goal. (e.g., «τῶν ἐν πολέμῳ κατορθωμάτων» — Thucydides)
  3. Morally correct action — An action that is in accordance with virtue and right reason.
  4. Perfect duty (Stoic philosophy) — A technical term for a *καθῆκον* (duty) performed with full virtue and wisdom.
  5. Victory, triumph — Especially in a military or political context, the successful outcome of a conflict.
  6. Progress, improvement — The attainment of progress or the amelioration of a situation.

Word Family

ὀρθ- (root of ὀρθός, meaning "straight, right")

The root ὀρθ- forms the core of an extensive family of words in Ancient Greek, all revolving around the concepts of straightness, correctness, accuracy, and proper direction. From the literal meaning of "straight" (e.g., in geometric figures) to ethical and spiritual "rectitude," this root shapes words that express alignment with a standard or rule. The prefix «κατά-» often intensifies or directs this rectitude towards completion or achievement.

ὀρθός adjective · lex. 449
The fundamental adjective of the root, meaning "straight, correct, right." From this, all other concepts of rectitude derive, both on a physical and ethical level. It is often referred to in the "orthos logos" (right reason) of philosophers.
ὀρθόω verb · lex. 1049
Means "to straighten, to correct, to make right." It describes the action of rectifying or aligning, whether physically or morally. In Homer, "orthoun" means "to set upright."
ὀρθῶς adverb · lex. 1179
The adverb meaning "rightly, correctly, justly." Used to characterize the correct execution of an action or a correct judgment. Often found in philosophical texts concerning right thinking.
κατορθόω verb · lex. 1370
The verb from which *κατόρθωμα* is derived. It means "to succeed, to accomplish successfully, to rectify completely." For the Stoics, "katorthoun" is to perform a duty with virtue.
κατόρθωσις ἡ · noun · lex. 1710
A noun meaning "achievement, success, rectification." Often used as a synonym for *κατόρθωμα*, with an emphasis on the process or result of successful completion.
ὀρθόδοξος adjective · lex. 653
Means "one who holds right opinion or belief." It highlights the application of the root "orth-" to spiritual and religious rectitude, particularly significant in Christian literature.
ὀρθογραφία ἡ · noun · lex. 864
Means "correct writing." It shows the application of the concept of "rightness" to the accuracy and proper form of written language, a practical application of rectitude.
ὀρθοπαιδεία ἡ · noun · lex. 360
Means "correct rearing of children." It underscores the pedagogical dimension of rectitude, i.e., the proper guidance and character formation.

Philosophical Journey

The trajectory of the word «κατόρθωμα» reflects the evolution of Greek thought from practical success to ethical perfection.

5th-4th C. BCE (Classical Period)
Historians and Orators
Widely used by historians like Thucydides and Xenophon to describe military successes, political achievements, or the successful outcome of affairs. Here, the emphasis is on the result.
4th C. BCE (Plato)
Platonic Philosophy
In Plato, the concept begins to acquire ethical nuances, connecting with the proper governance of the soul and the city, as well as the attainment of the Good.
4th C. BCE (Aristotle)
Aristotelian Ethics
Aristotle employs the word in relation to *praxis* (action) and *eupraxia* (well-doing), implying successful and virtuous action leading to *eudaimonia* (flourishing).
3rd C. BCE - 2nd C. CE (Stoic Philosophy)
Stoic Philosophers
The Stoics, notably Zeno and Chrysippus, develop *κατόρθωμα* into a technical term. They define it as the *teleion kathēkon* (perfect duty), meaning a duty performed with full virtue and right reason, in contrast to a simple *kathēkon* which might be performed by non-virtuous individuals.
1st C. BCE - 3rd C. CE (Koine Greek & Roman Period)
Hellenistic and Roman Era
The word retains its meaning of success and achievement, while its philosophical dimension remains alive in texts by authors such as Epictetus and Marcus Aurelius.
4th C. CE onwards (Patristic Literature)
Christian Theology
The Church Fathers use *κατόρθωμα* to describe spiritual successes, moral virtues, and the attainment of Christian perfection.

In Ancient Texts

The significance of *κατόρθωμα* is illuminated in texts spanning history, philosophy, and ethics.

«τῶν ἐν πολέμῳ κατορθωμάτων»
“of successes in war”
Thucydides, History of the Peloponnesian War 1.141.6
«τὸ δὲ κατόρθωμα, ὅπερ ἐστὶ τέλειον καθῆκον, οὐκ ἔστιν ἄνευ τῆς ἀρετῆς.»
“The perfect action (katorthoma), which is a perfect duty, does not exist without virtue.”
Diogenes Laertius, Lives of Eminent Philosophers 7.107 (referring to Chrysippus)
«τὸ γὰρ κατορθοῦν ἐν τῷ βίῳ, τοῦτο ἐστιν τὸ εὐδαιμονεῖν.»
“For to succeed in life, this is to be happy.”
Xenophon, Memorabilia 1.6.14

Lexarithmic Analysis

The lexarithmos of the word ΚΑΤΟΡΘΩΜΑ is 1341, from the sum of its letter values:

Κ = 20
Kappa
Α = 1
Alpha
Τ = 300
Tau
Ο = 70
Omicron
Ρ = 100
Rho
Θ = 9
Theta
Ω = 800
Omega
Μ = 40
Mu
Α = 1
Alpha
= 1341
Total
20 + 1 + 300 + 70 + 100 + 9 + 800 + 40 + 1 = 1341

1341 decomposes into 1300 (hundreds) + 40 (tens) + 1 (units).

The 18 Methods

Applying the 18 traditional lexarithmic methods to the word ΚΑΤΟΡΘΩΜΑ:

MethodResultMeaning
Isopsephy1341Base lexarithmos
Decade Numerology91+3+4+1 = 9. The Ennead, a number of completion and perfection, signifying the full achievement and moral integrity characteristic of *κατόρθωμα*.
Letter Count99 letters. The Ennead, symbolizing completeness and perfection, reflecting the idea of *κατόρθωμα* as a finished and flawless action.
Cumulative1/40/1300Units 1 · Tens 40 · Hundreds 1300
Odd/EvenOddMasculine force
Left/Right HandRightDivine (≥100)
QuotientComparative method
NotarikonK-A-T-O-R-TH-O-M-AΚατὰ Ἀλήθειαν Τὸ Ὀρθὸν Ῥυθμίζει Θείᾳ Ὁδηγίᾳ Μέγιστον Ἀγαθόν. (According to Truth, it regulates the Right by Divine Guidance, a Greatest Good.)
Grammatical Groups4V · 2S · 3M4 vowels (A, O, Ω, A), 2 semivowels (R, M), 3 mutes (K, T, Θ). The balanced distribution suggests the stability and harmony required for a true *κατόρθωμα*.
PalindromesNo
OnomancyComparative
Sphere of DemocritusDivination with lunar day
Zodiacal IsopsephyMars ♂ / Capricorn ♑1341 mod 7 = 4 · 1341 mod 12 = 9

Isopsephic Words (1341)

The lexarithmos 1341 of «κατόρθωμα» is shared with other words in Ancient Greek, creating interesting connections that illuminate the complexity of the language.

ἀντικρίνω
“To answer, to judge in return.” The connection to *κατόρθωμα* may lie in the idea of right judgment or the requital of a correct action.
ἀρχιδιοικητής
“Chief administrator.” Suggests the ability of proper management and the achievement of goals at an administrative level, a form of *κατόρθωμα*.
ἐκταπεινόω
“To humble completely.” An antithetical concept to *κατόρθωμα* as achievement, as *κατόρθωμα* can lead to pride, while humility is a different ethical virtue.
εὐκαιρέω
“To have leisure, to have a good opportunity.” Opportunity is often a prerequisite for achieving a *κατόρθωμα*, emphasizing the importance of opportune timing.
ἐφαρμοστέον
“It is necessary to apply.” Underlines the practical dimension of *κατόρθωμα*, as right action requires application and execution.

The LSJ lexicon contains a total of 81 words with lexarithmos 1341. 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.
  • Diogenes LaertiusLives of Eminent Philosophers. Translated by R. D. Hicks. Loeb Classical Library, Harvard University Press, 1925.
  • ThucydidesHistory of the Peloponnesian War. Edited by H. S. Jones and J. E. Powell. Oxford University Press, 1942.
  • XenophonMemorabilia. Translated by E. C. Marchant. Loeb Classical Library, Harvard University Press, 1923.
  • Long, A. A., Sedley, D. N.The Hellenistic Philosophers, Vol. 1: Translations of the Principal Sources with Philosophical Commentary. Cambridge University Press, 1987.
  • PlatoRepublic. Translated by Paul Shorey. Loeb Classical Library, Harvard University Press, 1930.
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