LOGOS
PHILOSOPHICAL
ἔλεγξις (ἡ)

ΕΛΕΓΞΙΣ

LEXARITHMOS 313

Elenxis, as the core of the Socratic method, is not merely a discussion but a systematic process of examining and refuting beliefs, aiming to reveal truth and purify the soul from false knowledge. Its lexarithmos (313) suggests the completeness and perfection sought by the dialectical process.

REPORT ERROR

Definition

According to Liddell-Scott-Jones, elenxis (ἔλεγξις) primarily means "cross-examination, scrutiny, refutation, proof." It denotes the act of elenchō, which is to put to the test, to cross-examine, to prove, or to disprove a proposition. In classical Athens, this concept gained central importance, particularly through the philosophical practice of Socrates.

The Socratic elenxis was a dialectical method where Socrates, through a series of questions, led his interlocutor to recognize contradictions in their own beliefs, thereby demonstrating their ignorance. This process was not intended for humiliation but for intellectual purification and the pursuit of true knowledge, as acknowledging one's ignorance was the first step towards wisdom. Plato, in works such as the Apology and Gorgias, highlights elenxis as his teacher's primary tool.

Beyond philosophy, elenxis was also used in a legal context, meaning "proof of guilt" or "conviction," and in a rhetorical context as "refutation" or "counter-argument." In Hellenistic and Christian literature, its meaning expanded to include "reproof," "admonition," or "conviction" of moral truth, as seen in New Testament texts.

Etymology

elench- (root of the verb elenchō, an Ancient Greek root belonging to the oldest stratum of the language)
The root "elench-" lies at the core of the verb elenchō, meaning "to examine, to test, to refute, to prove, to convict." The sense of the root implies a process of investigation, scrutiny, and revelation, whether concerning the truth of a claim or the guilt of an individual. From this basic meaning, various senses related to critical examination and proof developed.

From the same root derive the noun elenchos (ἔλεγχος, "refutation, proof"), the adjective elenktikos (ἐλεγκτικός, "pertaining to refutation, able to refute"), and the verbs antelenchō (ἀντελέγχω, "to refute in turn") and dielenchō (διελέγχω, "to examine thoroughly, to refute completely"). These words highlight different facets of the process of examination, from simple scrutiny to complete refutation.

Main Meanings

  1. Cross-examination, interrogation — The Socratic method of investigating beliefs.
  2. Refutation, disproof — The demonstration of the falsity of a claim or argument.
  3. Conviction, proof of guilt — The legal concept of proving someone's culpability.
  4. Reproof, admonition — Moral or pedagogical correction, as in the New Testament.
  5. Testing, scrutiny — The process of subjecting something to examination or trial.
  6. Proof, demonstration — The presentation of evidence to confirm a position.
  7. Critique, critical analysis — Detailed examination and evaluation.

Word Family

elench- (root of the verb elenchō, meaning 'to examine, to test, to refute')

The root "elench-" forms the core of a family of words revolving around the concept of critical examination, testing, and proof or refutation. From the initial meaning of "to bring to light, to expose," this root gave rise to terms describing the process of dialectic, legal proof, and moral correction. Each member of the family develops a specific aspect of this fundamental idea, from the act of examination to the outcome of proof or conviction.

ἐλέγχω verb · lex. 1443
The basic verb from which elenxis is derived. It means "to examine, to test, to refute, to prove, to convict." In Socrates, it is the act of cross-examination to reveal ignorance.
ἔλεγχος ὁ · noun · lex. 913
The noun denoting the act or result of elenchō: "refutation, proof, conviction, reproof." It is the term used by Plato for the Socratic method.
ἐλεγκτικός adjective · lex. 683
Pertaining to examination or refutation, capable of examining or refuting. It describes the quality or nature of the process of elenchos, as in the "elenctic art."
ἐλεγκτέος participle · lex. 638
A verbal adjective meaning "that which must be examined, tested, or refuted." It indicates the necessity or obligation of being subjected to scrutiny.
ἀντελέγχω verb · lex. 1794
A compound verb meaning "to refute in turn, to counter-argue." It implies a reciprocal or adversarial process of examination, as in a dialectical debate.
διελέγχω verb · lex. 1457
A compound verb meaning "to examine thoroughly, to refute completely, to prove clearly." It emphasizes the completeness and effectiveness of the examination process.
ἐλέγξιμος adjective · lex. 423
Capable of being examined, refuted, or convicted. It describes the quality of being subject to scrutiny or proof.
ἀντέλεγξις ἡ · noun · lex. 664
A noun meaning "counter-refutation, rejoinder." It is the act of refuting an argument that has already been made, a response to an elenchos.

Philosophical Journey

The concept of elenxis, though initially general, acquired its specific philosophical weight during the classical period, evolving from a logical tool into a means of moral and intellectual purification.

5th C. BCE (Presocratics)
Early Philosophical Uses
Early uses of the verb elenchō in the sense of "testing" or "proving" in philosophical contexts, though the noun elenxis had not yet acquired the specific meaning Socrates would give it.
470-399 BCE (Socrates)
The Socratic Method
Elenxis becomes the central tool of his philosophical method. Through cross-examination, Socrates revealed the ignorance of his interlocutors, leading them to the pursuit of truth.
428-348 BCE (Plato)
Dialectic and Truth
Plato, in his dialogues, immortalizes the Socratic elenxis, making it an integral part of his dialectical method and the search for truth and virtue. Cf. Apology of Socrates, Gorgias.
384-322 BCE (Aristotle)
Logic and Rhetoric
Aristotle analyzes elenxis within a logical and rhetorical framework, particularly in his Topics and Sophistical Refutations, where he defines it as a syllogism leading to a contradiction of the initial thesis.
3rd C. BCE - 1st C. CE (Hellenistic Period)
Expansion of Meaning
The concept retains its meaning of "refutation" and "proof" in philosophical schools, while also being used in legal and ethical texts with the sense of "reproof" or "correction."
1st-2nd C. CE (New Testament)
Theological and Ethical Dimension
Elenxis acquires a theological and ethical dimension, signifying the "proof" or "conviction" of sin, "reproof," and "admonition" for correction, as in 2 Timothy 3:16.

In Ancient Texts

The significance of elenxis is illuminated through classical texts that established it as a philosophical and ethical instrument.

«ἐγὼ μὲν γὰρ οὐδὲν ἄλλο ποιῶν περιέρχομαι ἢ πείθων ὑμᾶς, καὶ νεωτέρους καὶ πρεσβυτέρους, μήτε σωμάτων μήτε χρημάτων πρότερον ἐπιμελεῖσθαι μήτε ἄλλου τινὸς μᾶλλον ἢ τῆς ψυχῆς, ὅπως ὡς ἀρίστη ἔσται, λέγων ὅτι οὐκ ἐκ χρημάτων ἀρετὴ γίγνεται, ἀλλ' ἐξ ἀρετῆς χρήματα καὶ τὰ ἄλλα ἀγαθὰ τοῖς ἀνθρώποις ἅπαντα καὶ ἰδίᾳ καὶ δημοσίᾳ. εἰ μὲν οὖν ταῦτα λέγων διαφθείρω τοὺς νέους, ταῦτ' ἂν εἴη βλαβερά· εἰ δέ τις φάσκει ἄλλο τι ἢ ταῦτα λέγειν με, ψεύδεται. ἀλλὰ γὰρ ἤδη ὥρα ἀπιέναι, ἐμοὶ μὲν ἀποθανεῖν, ὑμῖν δὲ ζῆν. ὁπότεροι δὲ ἡμῶν ἔρχονται ἐπὶ ἄμεινον πρᾶγμα, ἄδηλον παντὶ πλὴν ἢ τῷ θεῷ.»
“For I do nothing but go about persuading you all, old and young alike, not to care for your bodies or your money before your souls, or for anything else as much as for your souls, that they may be as excellent as possible, saying that virtue does not come from money, but from virtue comes money and all other good things to mankind, both privately and publicly. If, then, by saying these things I corrupt the youth, these things would be harmful; but if anyone claims that I say anything else than these, he lies. But now it is time to go, for me to die, for you to live. Which of us goes to a better state is unclear to everyone but God.”
Plato, Apology of Socrates 30b-c, 42a
«πᾶς γὰρ συλλογισμὸς ἐξ ἀναγκαίων ἢ ἐξ ἐνδόξων, καὶ ὁ μὲν ἐξ ἀναγκαίων ἀπόδειξις, ὁ δ' ἐξ ἐνδόξων διαλεκτικός. ἔλεγχος δ' ἐστὶ συλλογισμὸς ἀντιφάσεως τοῦ συμπεράσματος.»
“For every syllogism is either from necessary or from reputable premises, and that from necessary premises is a demonstration, while that from reputable premises is dialectical. A refutation (ἔλεγχος) is a syllogism of the contradiction of the conclusion.”
Aristotle, Topics 162a35-37
«πᾶσα γραφὴ θεόπνευστος καὶ ὠφέλιμος πρὸς διδασκαλίαν, πρὸς ἐλεγμόν, πρὸς ἐπανόρθωσιν, πρὸς παιδείαν τὴν ἐν δικαιοσύνῃ.»
“All Scripture is God-breathed and is useful for teaching, rebuking, correcting and training in righteousness.”
Apostle Paul, 2 Timothy 3:16

Lexarithmic Analysis

The lexarithmos of the word ΕΛΕΓΞΙΣ is 313, from the sum of its letter values:

Ε = 5
Epsilon
Λ = 30
Lambda
Ε = 5
Epsilon
Γ = 3
Gamma
Ξ = 60
Xi
Ι = 10
Iota
Σ = 200
Sigma
= 313
Total
5 + 30 + 5 + 3 + 60 + 10 + 200 = 313

313 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 ΕΛΕΓΞΙΣ:

MethodResultMeaning
Isopsephy313Prime number
Decade Numerology73+1+3=7 — The Heptad, a number of completeness, perfection, and spiritual wisdom, reflecting the goal of elenxis to lead to a comprehensive understanding of truth.
Letter Count77 letters — The Heptad, symbolizing completion, spiritual quest, and perfection, elements characteristic of the philosophical process of elenxis.
Cumulative3/10/300Units 3 · Tens 10 · Hundreds 300
Odd/EvenOddMasculine force
Left/Right HandRightDivine (≥100)
QuotientComparative method
NotarikonE-L-E-G-X-I-SElenchus Leads to Enlightened Gnosis, X-raying Ignorance, Seeking Wisdom
Grammatical Groups3V · 4C3 vowels (E, E, I) and 4 consonants (L, G, X, S), indicating a balance between the fluidity of expression and the stability of logical structure.
PalindromesYes (numeric)Number reads same reversed
OnomancyComparative
Sphere of DemocritusDivination with lunar day
Zodiacal IsopsephyJupiter ♃ / Taurus ♉313 mod 7 = 5 · 313 mod 12 = 1

Isopsephic Words (313)

Words from the Liddell-Scott-Jones lexicon with the same lexarithmos (313) as elenxis, but from different roots, offering interesting conceptual parallels.

ἄδηλος
"unseen," "obscure," "uncertain." Elenxis aims to reveal the adelos, bringing to light the truth hidden behind superficial knowledge or ignorance.
λογίς
"a reckoning," "calculation," "logic." The connection to logis underscores the rational and systematic nature of elenxis, which relies on logical processes to achieve refutation or proof.
παράνοιᾰ
"madness," "folly," "insanity." Elenxis often exposes the paranoia or inconsistency in interlocutors' thoughts, leading them from false certainty to the recognition of their intellectual confusion.
σκέπη
"covering," "shelter," "protection." While skepē offers concealment, elenxis works in opposition, revealing and exposing what is hidden or disguised, especially ignorance or error.
ἔλεγος
"lament," "dirge." Although etymologically unrelated, the phonetic similarity is intriguing. The revelation of ignorance through elenxis can lead to a kind of "lament" for lost illusions, but also to catharsis.
ἠλεός
"foolish," "silly." Like paranoia, ēleos is associated with a lack of rationality. Elenxis aims to remove ēleotēs, leading individuals towards wisdom and self-knowledge.

The LSJ lexicon contains a total of 35 words with lexarithmos 313. 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, with a revised supplement. Oxford: Clarendon Press, 1996.
  • PlatoApology of Socrates.
  • PlatoGorgias.
  • AristotleTopics.
  • AristotleSophistical Refutations.
  • Bauer, W., Arndt, W. F., Gingrich, F. W., Danker, F. W.A Greek-English Lexicon of the New Testament and Other Early Christian Literature (BDAG). 3rd ed. Chicago: University of Chicago Press, 2000.
  • Apostle Paul2 Timothy.
Explore this word in the interactive tool
Live AI filtering of isopsephic words + all methods active
OPEN THE TOOL →
← All words
Report an Error
Continue for free
To continue your research, complete the free registration.
FREE SIGN UP