LOGOS
LEXARITHMIC ENGINE
PHILOSOPHICAL
βάσις (ἡ)

ΒΑΣΙΣ

LEXARITHMOS 413

The word basis, deeply rooted in concepts of movement and stability, describes both the literal "stepping" and the abstract "foundation" of an idea or argument. From architecture to philosophy, the basis is the starting point, the support, the fundamental principle. Its lexarithmos (413) suggests a connection with notions of liberation and steadfastness.

Definition

According to the Liddell-Scott-Jones Lexicon, βάσις originally means "a stepping, a step, a walk," deriving from the verb βαίνω (to step, walk). This primary meaning underscores the action of movement and the placement of the foot on the ground, forming the point of support for locomotion.

Gradually, the word acquired broader significations, describing anything that serves as a support or foundation. In architecture and sculpture, βάσις refers to the base of a column, a statue, or a building—the lower part that bears weight and ensures stability. It is the point where the structure "stands" on the ground, its material origin, as described by Herodotus.

Beyond its material dimension, βάσις also entered the abstract realm, particularly in philosophy and rhetoric. There, it signifies the foundation of an idea, the premise of an argument, the underlying principle or precondition upon which a theory or line of reasoning is constructed. Aristotle, for instance, employs the term to refer to the principles of knowledge or existence, making the basis the logical or conceptual ground.

Overall, the semantic evolution of βάσις from the physical step to the abstract foundation reflects the Greek language's capacity to translate concrete experiences into universal concepts. It is the word that bridges the act of walking with the notion of stability and grounding, whether for a building or a philosophical system.

Etymology

βάσις ← βαίνω (to step, walk) ← root *ba-
The word βάσις derives from the verb βαίνω, meaning "to step, walk, go." The Indo-European root *gʷem- (or *gʷā-) has yielded similar concepts of movement in other languages. The original meaning of βάσις is directly linked to the action of the foot touching the ground, constituting the point of support for movement.

Cognate words include: βαίνω (to go), βῆμα (step, pace), βατήρ (one who steps), βάθρον (base, pedestal), βωμός (altar, originally "base" for sacrifices), as well as compounds such as πρόβασις (a going forward) and κατάβασις (a going down).

Main Meanings

  1. A stepping, a step, a walk — The primary and literal meaning, the act of placing one's foot.
  2. A base, foundation, pedestal — The lower part of an object that supports it, such as the base of a column or statue.
  3. A support, prop — Anything that provides stability and backing.
  4. A fundamental principle, premise — The abstract foundation of a theory, an argument, or an idea.
  5. A place for standing — A point or ground that offers stability.
  6. A measure of length — A step as a unit of measurement.
  7. A starting point, origin — The point from which a process or course begins.
  8. In rhetoric, the "status" or "issue" — The core point of a legal or rhetorical case.

Philosophical Journey

The word βάσις, with its initial connection to movement, evolved into a central term for stability and foundation, in both the material and intellectual realms.

8th-6th C. BCE (Homeric and Archaic Period)
Early Usage
Βάσις appears in early texts with the literal meaning of "stepping" or "pace." The connection to the verb βαίνω is direct, describing physical movement.
5th C. BCE (Classical Period)
Architectural and Material Constructions
The use of βάσις expands into architecture and sculpture, referring to the base of buildings and statues. Herodotus and Thucydides employ it to describe material constructions.
4th C. BCE (Platonic and Aristotelian Philosophy)
Philosophical Grounding
The word acquires deeper philosophical dimensions. Plato and Aristotle use it to denote the fundamental principles or hypotheses upon which knowledge or logic is built.
3rd C. BCE - 1st C. CE (Hellenistic and Roman Period)
Rhetoric and Logic
Βάσις becomes established as a technical term in rhetoric, referring to the "status causae" (the core issue of a case), and in logic, as the basis of a syllogism.
2nd-6th C. CE (Late Antiquity and Early Byzantine Period)
Continued Usage
The word's usage continues in philosophical, scientific (e.g., medicine, geometry), and theological texts, retaining its meanings of foundation and support.

In Ancient Texts

The significance of βάσις as a foundation and principle is highlighted in ancient literature, from architectural description to philosophical analysis.

«καὶ τῆς μὲν βάσεως ἑκάστου τῶν κιόνων τὸ πλάτος ἦν πέντε πήχεων.»
«And the breadth of the base of each of the columns was five cubits.»
Herodotus, Histories 2.125.4
«πᾶσα γὰρ ἐπιστήμη καὶ πᾶσα μέθοδος, ὁμοίως δὲ πρᾶξίς τε καὶ προαίρεσις, ἀγαθοῦ τινὸς ἐφίεσθαι δοκεῖ. διὸ καλῶς ἀπεφήναντο τἀγαθὸν, οὗ πάντ᾽ ἐφίεται. διαφορά τις φαίνεται τῶν τελῶν· τὰ μὲν γὰρ εἰσιν ἐνέργειαι, τὰ δὲ παρ᾽ αὐτὰς ἔργα τινά. ὧν δ᾽ εἰσὶ τέλη τινὰ παρὰ τὰς πράξεις, ἐν τούτοις βελτίω τὰ ἔργα τῶν ἐνεργειῶν. πολλῶν δὲ οὐσῶν πράξεων καὶ τεχνῶν καὶ ἐπιστημῶν, πολλὰ γίνεται καὶ τὰ τέλη· ἰατρικῆς μὲν γὰρ ὑγίεια, ναυπηγικῆς δὲ πλοῖον, στρατηγικῆς δὲ νίκη, οἰκονομικῆς δὲ πλοῦτος. ὅσαι δ᾽ εἰσὶ τῶν τοιούτων ὑπὸ μίαν τινὰ δύναμιν, καθάπερ ὑπὸ τὴν ἱππικὴν ἡ χαλινοποιικὴ καὶ ὅσαι ἄλλαι τῶν ἱππικῶν ὀργάνων εἰσίν, αὕτη δὲ καὶ πᾶσα πολεμικὴ πρᾶξις ὑπὸ τὴν στρατηγικήν, κατὰ τὸν αὐτὸν δὲ τρόπον ἄλλαι ὑφ᾽ ἑτέρας, ἐν ἁπάσαις δὲ ταῖς τοιαύταις αἱ τῶν ἀρχιτεκτονικῶν τέλη πάντων ἐστὶν αἱρετώτερα τῶν ὑπ᾽ αὐτὰς· τούτων γὰρ ἕνεκα κἀκεῖνα διώκεται. διαφέρει δ᾽ οὐδὲν εἰ αὐταὶ αἱ ἐνέργειαι τὰ τέλη τῶν πράξεών εἰσιν ἢ τι ἕτερον παρ᾽ αὐτὰς, καθάπερ ἐπὶ τῶν ῥηθεισῶν ἐπιστημῶν. εἰ δή τι τέλος ἐστὶ τῶν πρακτῶν ὃ δι᾽ αὑτὸ βουλόμεθα, τἆλλα δὲ διὰ τοῦτο, καὶ μὴ πᾶν ἑτέρου ἕνεκα αἱρούμεθα (πρόεισι γὰρ οὕτω γ᾽ εἰς ἄπειρον, ὥστ᾽ εἶναι κενὴν καὶ ματαίαν τὴν ὄρεξιν), δῆλον ὡς τοῦτ᾽ ἂν εἴη τἀγαθὸν καὶ τὸ ἄριστον. ἆρ᾽ οὖν καὶ πρὸς τὸν βίον ἡ γνῶσις αὐτοῦ μεγάλην ἔχει ῥοπήν, καὶ καθάπερ τοξόται σκοπὸν ἔχοντες μᾶλλον ἂν τυγχάνοιμεν τοῦ δέοντος; εἰ δ᾽ οὕτω, πειρατέον τύπῳ κἀκεῖνο διορίσαι τί ποτ᾽ ἐστὶ καὶ τίνων τῶν ἐπιστημῶν ἢ δυνάμεων. δόξειε δ᾽ ἂν τῆς κυριωτάτης καὶ μάλιστα ἀρχιτεκτονικῆς. τοιαύτη δ᾽ ἡ πολιτικὴ φαίνεται. τίς γὰρ αὐτῆς ἡ βάσις;»
«Every art and every inquiry, and similarly every action and choice, is thought to aim at some good; and for this reason the good has rightly been declared to be that at which all things aim. But a certain difference is found among ends; some are activities, others are products apart from the activities themselves. Where there are ends apart from the actions, it is the nature of the products to be better than the activities. Now, as there are many actions, arts, and sciences, their ends also are many; the end of the medical art is health, that of shipbuilding a vessel, that of strategy victory, that of economics wealth. But where such arts are subordinate to some one capacity—as bridle-making and all other arts concerned with the equipment of horses are subordinate to the art of horsemanship, and this and every military action to strategy, in the same way other arts are subordinate to still others—in all of these the ends of the master arts are to be preferred to all the subordinate ends; for it is for the sake of the former that the latter are pursued. It makes no difference whether the activities themselves are the ends of the actions, or something else apart from them, as in the case of the sciences just mentioned. If, then, there is some end of the things we do, which we desire for its own sake (everything else being desired for the sake of this), and if we do not choose everything for the sake of something else (for at that rate the process would go on to infinity, so that our desire would be empty and vain), clearly this must be the good and the chief good. Will not the knowledge of it, then, have a great influence on life? Shall we not, like archers who have a mark to aim at, be more likely to hit upon what is right? If so, we must try to determine, in outline at least, what it is, and to which of the sciences or capacities it belongs. It would seem to belong to the most authoritative art and that which is most truly the master art. And politics appears to be of this nature. For what is its basis?»
Aristotle, Nicomachean Ethics 1.1.1-1.2.1 (1094a1-1094a28)
«τῆς δὲ ῥητορικῆς βάσις ἐστὶν ἡ πίστις.»
«The basis of rhetoric is persuasion.»
Aristotle, Rhetoric 1.1.11 (1355b26)

Lexarithmic Analysis

The lexarithmos of the word ΒΑΣΙΣ is 413, from the sum of its letter values:

Β = 2
Beta
Α = 1
Alpha
Σ = 200
Sigma
Ι = 10
Iota
Σ = 200
Sigma
= 413
Total
2 + 1 + 200 + 10 + 200 = 413

413 decomposes into 400 (hundreds) + 10 (tens) + 3 (units).

The 18 Methods

Applying the 18 traditional lexarithmic methods to the word ΒΑΣΙΣ:

MethodResultMeaning
Isopsephy413Base lexarithmos
Decade Numerology84+1+3=8 — The Octad, representing stability, balance, and cosmic order.
Letter Count55 letters — The Pentad, the number of humanity, life, and harmony.
Cumulative3/10/400Units 3 · Tens 10 · Hundreds 400
Odd/EvenOddMasculine force
Left/Right HandRightDivine (≥100)
QuotientComparative method
NotarikonB-A-S-I-SΒάθος (Depth), Ἀρχή (Principle), Στήριγμα (Support), Ἰσχύς (Strength), Σταθερότητα (Stability).
Grammatical Groups2V · 3C2 vowels (Alpha, Iota) and 3 consonants (Beta, Sigma, Sigma).
PalindromesNo
OnomancyComparative
Sphere of DemocritusDivination with lunar day
Zodiacal IsopsephyMoon ☽ / Virgo ♍413 mod 7 = 0 · 413 mod 12 = 5

Isopsephic Words (413)

Words from the Liddell-Scott-Jones lexicon sharing the same lexarithmos (413) as βάσις, revealing interesting conceptual connections:

ἀπάλλαξις
“Deliverance, release.” The basis as a foundation can be the starting point for liberation from ignorance or instability, offering a stable ground for spiritual or physical freedom.
ἀρραγής
“Unbroken, firm.” A strong basis is by definition ἀρραγής, providing resilience and stability. A philosophical foundation must be unbroken to support a solid edifice of knowledge.
ἔκπληξις
“Astonishment, bewilderment, terror.” The discovery of a new basis or the overturning of an old one can cause ἔκπληξις, leading to a re-evaluation of fundamental principles. Philosophical inquiry often begins with astonishment at the inexplicable.
ὁμολόγιον
“Agreement, covenant.” The basis of a common understanding or a contract is the ὁμολόγιον, the shared agreement on principles. Without a common basis, agreement is impossible.
θεοπληγής
“Struck by a god, divinely inspired/mad.” Divine affliction can overturn any basis, whether personal stability or social structures, leading to a radical re-evaluation of the foundations of existence.

The LSJ lexicon contains a total of 38 words with lexarithmos 413. 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.
  • PlatoRepublic, edited by John Burnet, Oxford University Press, 1903.
  • AristotleNicomachean Ethics, edited by I. Bywater, Oxford University Press, 1894.
  • AristotleRhetoric, edited by W. D. Ross, Oxford University Press, 1959.
  • HerodotusHistories, edited by H. Stein, Weidmannsche Buchhandlung, 1893.
  • Chantraine, P.Dictionnaire étymologique de la langue grecque: histoire des mots. Paris: Klincksieck, 1968-1980.
  • Denniston, J. D.The Greek Particles. Oxford: Clarendon Press, 1954.
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