ΣΥΜΠΕΡΑΣΜΑ
The term συμπέρασμα (lexarithmos 1067) stands as a cornerstone of logical and philosophical thought, marking the culmination of a reasoning process. From its initial meaning of 'completion' or 'result', it evolved into the technical term for the necessary conclusion of an argument, particularly in Aristotle. This word, rooted in πέρας (end/limit), underscores the human need to arrive at definitive conclusions and to delineate knowledge.
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According to the Liddell-Scott-Jones Lexicon, συμπέρασμα (neuter) initially means 'the end, completion, result'. The word derives from the verb συμπεραίνω, which means 'to complete, bring to an end, infer'. This primary meaning denotes the termination of a process or a task, the final outcome or consequence of an action.
In philosophy, and especially in Aristotle, συμπέρασμα acquires a much more specialized and central meaning. It refers to the necessary proposition that follows from the premises in a syllogism. It is the logical consequence, the unavoidable outcome of a series of reasoning steps, where the truth of the premises guarantees the truth of the conclusion. This usage established συμπέρασμα as a fundamental concept in formal logic.
Beyond its strictly logical application, συμπέρασμα can also refer to a more general judgment or decision reached after deliberation or examination of data. It is the final finding or ultimate position on an issue, which may not be strictly syllogistic but rather an overall assessment or a final opinion. The word thus retains its broader sense of 'culmination' or 'determination' in various contexts.
Etymology
The root per- / pera- is highly productive in the Greek language, yielding words related to an end, a limit, a passage, and completion. From this root come the noun 'πέρας' and the verbs 'περαίνω' and 'συμπεραίνω', as well as adjectives like 'ἀπέραντος', all retaining the core meaning of 'end' or 'passage'.
Main Meanings
- The end, completion — The original and most general meaning, referring to the termination of a process or task. E.g., 'the conclusion of the speech'.
- The result, outcome — The final state or consequence of a series of events or actions. E.g., 'the conclusions of the research'.
- Logical conclusion, inference — In logic, the proposition that necessarily follows from the premises in a syllogism. This is the technical meaning in Aristotle.
- Judgment, decision, finding — A final opinion or judgment formed after deliberation or examination of data, not necessarily strictly syllogistic.
- Summary, recapitulation — The final part of a text or speech that summarizes the main points and final thoughts.
- Conclusion as a boundary — In certain contexts, it can denote the limit or boundary of a situation or possibility.
Word Family
per- / pera- (root of πέρας, meaning 'end, limit, passage')
The root per- / pera- is fundamental in the Greek language, denoting the concept of 'end', 'limit', 'passage', or 'completion'. From this root developed a rich family of words describing both physical boundaries and abstract culminations, such as logical consequence. The meaning of the root focuses on movement towards a termination point or the transgression of a boundary, leading to concepts like completion, accomplishment, and ultimately, conclusion.
Philosophical Journey
The journey of 'συμπέρασμα' from a general concept of completion to a central philosophical term illustrates the evolution of Greek thought:
In Ancient Texts
Two classical passages that highlight the use of 'συμπέρασμα' in ancient Greek philosophy:
Lexarithmic Analysis
The lexarithmos of the word ΣΥΜΠΕΡΑΣΜΑ is 1067, from the sum of its letter values:
1067 decomposes into 1000 (hundreds) + 60 (tens) + 7 (units).
The 18 Methods
Applying the 18 traditional lexarithmic methods to the word ΣΥΜΠΕΡΑΣΜΑ:
| Method | Result | Meaning |
|---|---|---|
| Isopsephy | 1067 | Base lexarithmos |
| Decade Numerology | 5 | 1+0+6+7 = 14 → 1+4 = 5 — The Pentad, a symbol of harmony, balance, and human completion, as a conclusion brings completion to thought. |
| Letter Count | 10 | 10 letters — The Decad, the number of perfection and completeness, reflecting the final and comprehensive nature of a conclusion. |
| Cumulative | 7/60/1000 | Units 7 · Tens 60 · Hundreds 1000 |
| Odd/Even | Odd | Masculine force |
| Left/Right Hand | Right | Divine (≥100) |
| Quotient | — | Comparative method |
| Notarikon | Σ-Υ-Μ-Π-Ε-Ρ-Α-Σ-Μ-Α | Synthesis of Ultimate Form of Spiritual Energy, Rhetorical Truth, Wisdom, Mystical Principle. |
| Grammatical Groups | 4Φ · 5Η · 1Α | 4 vowels (Υ, Ε, Α, Α), 5 semi-vowels (Μ, Ρ, Σ, Σ, Μ), 1 mute (Π). Total 10 letters. |
| Palindromes | No | |
| Onomancy | — | Comparative |
| Sphere of Democritus | — | Divination with lunar day |
| Zodiacal Isopsephy | Sun ☉ / Pisces ♓ | 1067 mod 7 = 3 · 1067 mod 12 = 11 |
Isopsephic Words (1067)
Words from the Liddell-Scott-Jones Lexicon with the same lexarithmos (1067) but different roots, offering interesting conceptual parallels:
The LSJ lexicon contains a total of 48 words with lexarithmos 1067. 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.
- Aristotle — Prior Analytics. Edited and translated by the «Loeb Classical Library» or «Oxford Classical Texts».
- Plato — Phaedo. Edited and translated by the «Loeb Classical Library» or «Oxford Classical Texts».
- Barnes, Jonathan — Aristotle: A Very Short Introduction. Oxford University Press, 2000.
- Long, A. A., Sedley, D. N. — The Hellenistic Philosophers, Vol. 1: Translations of the Principal Sources with Philosophical Commentary. Cambridge University Press, 1987.