LOGOS
PHILOSOPHICAL
ζήτημα (τό)

ΖΗΤΗΜΑ

LEXARITHMOS 364

In classical Greek thought, a zētēma is not merely a question, but a profound philosophical problem, an object of inquiry and dialectic that demands systematic examination. From the Socratic method to Aristotelian logic, the «ζήτημα» forms the core of the pursuit of truth. Its lexarithmos (364) suggests a stable foundation for the construction of knowledge.

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Definition

According to the Liddell-Scott-Jones Lexicon, zētēma initially means "a seeking, inquiry, search," derived from the verb zēteō. Its meaning rapidly evolved to include "a question, problem" and "a subject of debate or dispute."

In philosophy, especially in Plato and Aristotle, zētēma acquires a technical sense. It is not a simple query but a structured problem posed for investigation, a hypothesis requiring logical analysis and resolution. In Socratic dialectic, zētēmata are the questions that lead to the revelation of ignorance and the pursuit of truth.

In Aristotelian logic, zētēma is one of the types of propositions examined, often equivalent to "problem" (πρόβλημα) or "difficulty" (ἀπορία), but with an emphasis on the active search for a solution. The word is also used in legal and political contexts to denote a case or a matter for judgment.

Etymology

zētēma ← zēteō ← zēt- (root of the verb zēteō)
The root zēt- is an Ancient Greek root belonging to the oldest stratum of the language. It expresses the concept of seeking, searching, and pursuing. From this root derives the verb zēteō, meaning "to seek, inquire, pursue." The noun zētēma is formed with the suffix -ma, which denotes the result or object of an action, thus meaning "that which is sought" or "the object of inquiry."

The root zēt- has generated a series of cognate words that retain the central meaning of seeking and inquiry. These include the verb zēteō, the noun zētēsis, the adjective zētētikos, as well as compound verbs such as epizēteō and anazēteō, which reinforce or specify the concept of searching.

Main Meanings

  1. Seeking, inquiry — The primary meaning, the act of zētein. Refers to the action of investigating or searching for something.
  2. Question, problem — A matter posed for examination or answer. Often implying a difficulty or an issue requiring resolution.
  3. Subject of discussion, matter of dispute — An issue that is the object of dialogue, confrontation, or disagreement between individuals or groups. E.g., "questions of law."
  4. Problem, difficulty — A situation or question that presents difficulty and requires resolution or clarification. In philosophy, a "problem."
  5. Case, legal or political matter — A specific topic or instance examined within a legal or political framework, e.g., "a matter of litigation."
  6. Object of study or examination — Any topic or subject matter posed for scientific, philosophical, or other investigation.

Word Family

zēt- (root of the verb zēteō, meaning "to seek, inquire")

The root zēt- forms the core of a family of words revolving around the concept of seeking, searching, and investigating. From the simple act of "looking for" to the complex philosophical "inquiry," this root generates terms that describe both the action and the object of the search. Each member of the family develops a specific aspect of this fundamental human activity, whether as a verb, a noun, or an adjective.

ζητέω verb · lex. 1120
The fundamental verb from which zētēma derives. It means "to seek, search for, inquire, pursue." Used by Homer, it becomes central to philosophical dialectic, as in Plato and Aristotle.
ζήτησις ἡ · noun · lex. 733
The act of seeking, searching, or investigating. Often refers to the process of questioning or discussion itself. In Plato, "zētēsis" is the dialectical method for finding truth.
ζητητής ὁ · noun · lex. 831
One who seeks, an inquirer, an investigator. The term denotes the active subject of the act of zētein, such as a philosopher seeking knowledge or a judge seeking truth.
ζητητικός adjective · lex. 993
Inclined to seek, inquisitive, curious. Describes a quality or disposition towards inquiry and examination, characteristic of philosophers.
ἐπιζητέω verb · lex. 1215
A compound verb (epi + zēteō) meaning "to seek earnestly, pursue eagerly, desire." It intensifies the meaning of seeking, implying greater persistence or desire, as in the New Testament for seeking God.
ἀναζητέω verb · lex. 1172
A compound verb (ana + zēteō) meaning "to seek carefully, search thoroughly." It implies a more exhaustive and systematic search, often for something lost or hidden, as mentioned by Lucian.
ἀζήτητος adjective · lex. 894
That which has not been sought, uninvestigated, unexamined. With the privative a-, it denotes the absence of seeking or examination, often in the sense of "self-evident" or "neglected."

Philosophical Journey

Zētēma, as a concept and a word, traverses the history of Greek thought, evolving from a simple search into a central philosophical term.

8th-6th C. BCE
Archaic Period
The verb zēteō appears in Homer with the simple meaning of seeking or pursuing. The noun zētēma is rare or non-existent in this early period.
5th-4th C. BCE
Classical Athens (Socrates, Plato)
Zētēma becomes a central term in philosophy. In Socratic dialectic, it is the question leading to self-knowledge. In Plato, it refers to philosophical problems requiring systematic investigation, as in the "Republic."
4th C. BCE
Aristotle
Aristotle uses zētēma systematically in his logic and metaphysics, often as a synonym for "problem" or "difficulty," denoting a matter for resolution or investigation, e.g., in the "Metaphysics."
3rd C. BCE - 1st C. CE
Hellenistic Period
The use of the word expands into scientific, legal, and rhetorical texts, retaining the meaning of a topic for examination, a case, or a problem.
1st C. CE
New Testament
In the New Testament, zētēma is often used to denote a dispute, a controversy, or a question, particularly in religious or legal contexts (e.g., Acts 15:2, "ζητήματος").
4th-15th C. CE
Byzantine Period
The word continues to be used in theological, philosophical, and legal discussions, maintaining the meaning of a problem or a matter for investigation.

In Ancient Texts

Zētēma, as a central term in Greek thought, is found in numerous texts, highlighting its importance as an object of inquiry and dialogue:

«τὸ γὰρ ζήτημα τὸ περὶ τῆς ἀρετῆς πότερον διδακτὸν ἢ οὐ διδακτὸν ἀλλὰ φύσει ἢ ἄλλῳ τινὶ τρόπῳ παραγίγνεται τοῖς ἀνθρώποις, τοῦτο μὲν οὐδὲν ἄλλο ἢ περὶ τῆς οὐσίας αὐτῆς ἐστιν.»
For the question concerning virtue, whether it is teachable or not teachable but by nature or by some other means acquired by humans, this is nothing other than about its very essence.
Plato, Meno 70a
«τὸ δὲ ζήτημα τὸ περὶ τῆς ἀρχῆς τῆς κινήσεως ὅτι οὐκ ἔστιν ἀεὶ ἀλλὰ γίγνεται καὶ φθείρεται.»
The question concerning the principle of motion, that it is not eternal but comes into being and perishes.
Aristotle, Metaphysics Λ 6, 1071b28
«γενομένης οὖν στάσεως καὶ ζητήματος οὐκ ὀλίγου τῷ Παύλῳ καὶ τῷ Βαρνάβᾳ πρὸς αὐτούς, ἔταξαν ἀναβαίνειν Παῦλον καὶ Βαρνάβαν καί τινας ἄλλους ἐξ αὐτῶν πρὸς τοὺς ἀποστόλους καὶ πρεσβυτέρους εἰς Ἱερουσαλὴμ περὶ τοῦ ζητήματος τούτου.»
Therefore, when no small dissension and debate arose between Paul and Barnabas and them, Paul and Barnabas and some others of them were appointed to go up to the apostles and elders in Jerusalem concerning this question.
Acts of the Apostles 15:2

Lexarithmic Analysis

The lexarithmos of the word ΖΗΤΗΜΑ is 364, from the sum of its letter values:

Ζ = 7
Zeta
Η = 8
Eta
Τ = 300
Tau
Η = 8
Eta
Μ = 40
Mu
Α = 1
Alpha
= 364
Total
7 + 8 + 300 + 8 + 40 + 1 = 364

364 decomposes into 300 (hundreds) + 60 (tens) + 4 (units).

The 18 Methods

Applying the 18 traditional lexarithmic methods to the word ΖΗΤΗΜΑ:

MethodResultMeaning
Isopsephy364Base lexarithmos
Decade Numerology43+6+4=13 → 1+3=4 — Tetrad, the number of stability, foundation, and structure, indicating the need for fundamental examination of an issue.
Letter Count67 letters — Heptad, the number of completeness, perfection, and spiritual quest, reflecting the totality of investigation.
Cumulative4/60/300Units 4 · Tens 60 · Hundreds 300
Odd/EvenEvenFeminine force
Left/Right HandRightDivine (≥100)
QuotientComparative method
NotarikonZ-H-T-H-M-ASeek Honor, Truth, and Moral Action — emphasizing the ethical and cognitive dimensions of inquiry.
Grammatical Groups3V · 2S · 1M3 vowels (eta, eta, alpha), 2 semivowels (zeta, mu), 1 mute (tau). This composition suggests a balance between the fluidity of thought and the stability of formulation.
PalindromesNo
OnomancyComparative
Sphere of DemocritusDivination with lunar day
Zodiacal IsopsephyMoon ☽ / Leo ♌364 mod 7 = 0 · 364 mod 12 = 4

Isopsephic Words (364)

Words from the Liddell-Scott-Jones Lexicon with the same lexarithmos (364) as zētēma, but from different roots, offering interesting comparisons:

ἀθέτημα
the "athetēma" means "an annulment, transgression, rejection." While zētēma is a matter for examination, athetēma is the result of denial or violation, an act that sets something aside.
ἐθνικός
the adjective "ethnikos" means "national, foreign, heathen." Its isopsephy with zētēma may suggest the complexity of questions surrounding identity and difference.
πάγιος
the adjective "pagios" means "firm, solid, fixed." It contrasts with the fluidity and open-ended nature of a zētēma, which is by nature something not yet settled.
καταδίκη
the "katadikē" means "condemnation, sentence." Like zētēma, it is a noun denoting a result, but katadikē is a definitive conclusion, whereas zētēma is the beginning of an inquiry.
μεγαλεῖος
the adjective "megaleios" means "magnificent, glorious, splendid." Its isopsephy with zētēma may underscore the importance and depth of philosophical questions, which often concern grand and fundamental matters.

The LSJ lexicon contains a total of 47 words with lexarithmos 364. 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: Clarendon Press, 1940.
  • PlatoMeno, Republic.
  • AristotleMetaphysics, Topics.
  • New TestamentActs of the Apostles.
  • Diels, H., Kranz, W.Die Fragmente der Vorsokratiker, Berlin: Weidmannsche Buchhandlung, 1951-1952.
  • Long, A. A., Sedley, D. N.The Hellenistic Philosophers, Cambridge: Cambridge University Press, 1987.
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