LOGOS
LEXARITHMIC ENGINE
PHILOSOPHICAL
ἀναλογισμός (ὁ)

ΑΝΑΛΟΓΙΣΜΟΣ

LEXARITHMOS 675

Analogismos — reasoning by the power of analogy — is one of the oldest schemes of Greek thought. From Pythagorean mathematical proportions (analogy as a bond uniting dissimilars) the term extended into rhetorical argumentation, dialectical assessment, and finally into the psychological process of reckoning and analogizing — recognizing a proportion between different things. Analogismos is thought that bridges gaps by means of common measures.

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Definition

According to the Liddell-Scott-Jones Lexicon, ὁ ἀναλογισμός means «reasoning, reckoning, analogical thought», especially inference based on analogy. It is formed from the verb ἀναλογίζομαι (to reckon, reflect, seek the analogy), which in turn comes from ἀναλογία — the mathematical or logical relation uniting two or more terms through a common measure.

In the Pythagorean tradition, ἀναλογία is a foundational concept: «equality of ratios». Mathematical proportions — arithmetic, geometric, harmonic — reveal hidden structures in nature. From this mathematical origin, analogismos expands into logical thought in general: the mind «analogizes» when it compares two situations seeking their common structure.

In rhetorical and forensic practice, analogismos becomes a tool of argument: from a known example a conclusion is drawn for a new case. In Aristotle (Topics, Rhetoric), the category of example and analogy constitutes an important type of non-syllogistic, empirical induction. Finally, in ancient and Hellenistic texts, the word also acquires a psychological meaning: analogizomai means «to ponder, to reckon inwardly», and analogismos becomes the conscious act of inner judgment.

Etymology

ἀναλογισμός ← ἀναλογίζομαι ← ἀνά (up, according to) + λογίζομαι (to calculate, reason)
The compound ἀνα-λογίζομαι originally means «to reckon according to proportion» or «to go up to the logos», i.e. «to ascend to the analogy». The root λογ- (λέγω, λογίζομαι) relates to measurement and organization of thought. The prefix ἀνα- has a double sense: «again» (repeated calculation) or «upward» (ascent to a principle). The suffix -ισμός denotes continuous or systematic process. Thus, analogismos is the methodical act of seeking or following a proportion.

Cognates: ἀναλογία (ratio, proportion), ἀνάλογον, ἀναλογίζομαι, λόγος (measure, ratio, word), λογίζομαι (to calculate), λογισμός (reckoning, reasoning), συλλογισμός (syllogism), διαλογισμός (internal deliberation). Opposites: παραλογισμός (false reasoning), ἀλογία.

Main Meanings

  1. Reasoning by analogy — The primary philosophical meaning — an inference drawn from comparison of two analogous cases.
  2. Mathematical proportion — The Pythagorean and Euclidean concept of mathematical ratio: A:B = C:D.
  3. Practical reckoning — The commercial or practical meaning — calculation of a budget, a quantity, a share.
  4. Inner deliberation — In psychological usage, analogismos means internal reflection, weighing a situation in the mind.
  5. Rhetorical argument — In forensic and political rhetoric, inference from example and analogy persuades through socially accepted patterns.
  6. Inductive analogy (Aristotle) — In the Topics, a form of probable reasoning resembling but not identical with full scientific induction.
  7. Theological analogy — In the Neoplatonic and Christian tradition, analogismos becomes a way of ascending from creatures to the divine through analogical language.

Philosophical Journey

Analogismos appears as a Pythagorean mathematical principle, extends as a tool of forensic and ethical argument, and is codified as a logical method by Aristotle.

6th c. BCE
Pythagoras
Proportion as «equality of ratios» grounds mathematical cosmology. Musical harmonies, planetary distances, and geometric relations are constituted through proportions.
5th c. BCE
Hippocrates
In the medical tradition, analogismos is applied to the measurement of doses and the evaluation of symptoms relative to the physiology of the body.
5th–4th c. BCE
Orators
Isocrates and Lysias use analogisms as basic inferences in public and forensic oratory — from past to present, from like to like.
4th c. BCE
Plato
In the mathematical chapters of the Timaeus and the Republic (525a ff.), proportion functions as an epistemological bond between the intelligible and the sensible world.
4th c. BCE
Aristotle
In the Topics and Rhetoric, analogismos becomes a technical term: probable reasoning from example or analogy, useful when full demonstrative science is unavailable.
3rd c. BCE
Euclid
In the Elements, proportion is systematized in Book V: the foundation of the geometry of proportionals and the presupposition of the theory of similar figures.
1st c. CE
Philo of Alexandria
Combines analogismos with theological anagōgē: by analogy we move from creatures to the uncreated.
3rd–5th c. CE
Neoplatonists
Plotinus and Proclus use it to link the levels of reality. Analogy becomes a metaphysical bond between the superior and the inferior.

Lexarithmic Analysis

The lexarithmos of the word ΑΝΑΛΟΓΙΣΜΟΣ is 675, from the sum of its letter values:

Α = 1
Alpha
Ν = 50
Nu
Α = 1
Alpha
Λ = 30
Lambda
Ο = 70
Omicron
Γ = 3
Gamma
Ι = 10
Iota
Σ = 200
Sigma
Μ = 40
Mu
Ο = 70
Omicron
Σ = 200
Sigma
= 675
Total
1 + 50 + 1 + 30 + 70 + 3 + 10 + 200 + 40 + 70 + 200 = 675

675 decomposes into 600 (hundreds) + 70 (tens) + 5 (units).

The 18 Methods

Applying the 18 traditional lexarithmic methods to the word ΑΝΑΛΟΓΙΣΜΟΣ:

MethodResultMeaning
Isopsephy675Base lexarithmos
Decade Numerology9
Letter Count11
Cumulative5/70/600Units 5 · Tens 70 · Hundreds 600
Odd/EvenOddMasculine force
Left/Right HandRightDivine (≥100)
QuotientComparative method
PalindromesNo
OnomancyComparative
Sphere of DemocritusDivination with lunar day
Zodiacal IsopsephySun ☉ / Cancer ♋675 mod 7 = 3 · 675 mod 12 = 3

Isopsephic Words (675)

The LSJ lexicon contains a total of 77 words with lexarithmos 675. 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, s.v. ἀναλογισμός.
  • AristotleTopics, Rhetoric. Loeb Classical Library.
  • PlatoRepublic 525a ff., Timaeus 31c-32c. Loeb Classical Library.
  • EuclidElements, Book V. Ed. J. L. Heiberg, Teubner.
  • Lloyd, G. E. R.Polarity and Analogy: Two Types of Argumentation in Early Greek Thought. Cambridge University Press, 1966.
  • Burkert, WalterLore and Science in Ancient Pythagoreanism. Harvard University Press, 1972.
  • Heath, T. L.A History of Greek Mathematics, Vol. I. Oxford: Clarendon Press, 1921.
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