ΑΝΤΙΦΑΣΙΣ
Antiphasis — «contradictory statement» — is perhaps the most basic logical category of Western philosophy. Aristotle in the Metaphysics and Posterior Analytics established the principle of non-contradiction as the «firmest of all principles»: nothing can be and not be the same thing simultaneously. On this statement rests the whole edifice of classical logic. From the Stoics to medieval scholasticism and finally to modern logic, antiphasis remains a non-negotiable structure of thought.
REPORT ERRORDefinition
According to the Liddell-Scott-Jones Lexicon, ἡ ἀντίφασις means «contrary statement, contradiction, dispute». It is formed from ἀντί (against) and φάσις (statement, declarative act, from the verb φημί). Literally: «a statement against another statement». In formal logic, antiphasis is the relation between two propositions that cannot simultaneously be true nor simultaneously be false: «X is Y» and «X is not Y».
The full philosophical significance of antiphasis comes with Aristotle. In Book IV of the Metaphysics (Γ 3, 1005b18-23) he formulates the Principle of Non-Contradiction: «The same thing cannot at the same time both belong and not belong to the same thing and in the same respect». It is the «most certain of all principles» — it cannot be demonstrated or refuted without presupposing itself. In the Posterior Analytics he distinguishes antiphasis from contraries: contradictory propositions exhaust all possible cases, contraries do not.
The Stoics developed propositional logic around relations of antiphasis. In the medieval period, the scholastic work of Abelard, Thomas Aquinas, and Ockham deepened the Aristotelian analysis. In the modern age, Frege and Russell formulated it formally (¬(p ∧ ¬p)), while Hegel proposed a dialectical version in which contradiction is a driving force.
Etymology
Cognates: φημί, φάσις, ἀπόφασις, κατάφασις, φάσκω, φατικός. Logical terms: ἀντίθεσις, ἐναντία, ἀντικείμενα, διάζευξις. Latin parallels: contradictio, contradictorius. Opposites: ὁμολογία, συμφωνία, ταυτολογία.
Main Meanings
- Contrary statement — The basic meaning — the proposition that negates another proposition.
- Logical contradiction — Two propositions that cannot simultaneously be true nor simultaneously false.
- Principle of non-contradiction — The Aristotelian fundamental principle: nothing can at the same time be and not be.
- Pair of contradictory propositions — In the syllogistic, the complete disjunction that exhausts every possible case.
- Dispute, denial — In forensic and political rhetoric, the expression of an opposing opinion or refusal.
- Dialectical contradiction — In Hegel, contradiction becomes the internal dynamic that drives the dialectical process.
- Real contradiction — In the Marxist tradition, social and historical contradictions as driving forces of change.
- Formal contradiction — In modern mathematical logic, the symbolic expression ¬(p ∧ ¬p) as an axiom.
Philosophical Journey
Antiphasis, from an Aristotelian axiom, became the stable center of Western logic, running through ancient, medieval, modern, and contemporary philosophers.
Lexarithmic Analysis
The lexarithmos of the word ΑΝΤΙΦΑΣΙΣ is 1272, from the sum of its letter values:
1272 decomposes into 1200 (hundreds) + 70 (tens) + 2 (units).
The 18 Methods
Applying the 18 traditional lexarithmic methods to the word ΑΝΤΙΦΑΣΙΣ:
| Method | Result | Meaning |
|---|---|---|
| Isopsephy | 1272 | Base lexarithmos |
| Decade Numerology | 3 | |
| Letter Count | 9 | |
| Cumulative | 2/70/1200 | Units 2 · Tens 70 · Hundreds 1200 |
| Odd/Even | Even | Feminine force |
| Left/Right Hand | Right | Divine (≥100) |
| Quotient | — | Comparative method |
| Palindromes | No | |
| Onomancy | — | Comparative |
| Sphere of Democritus | — | Divination with lunar day |
| Zodiacal Isopsephy | Jupiter ♃ / Aries ♈ | 1272 mod 7 = 5 · 1272 mod 12 = 0 |
Isopsephic Words (1272)
The LSJ lexicon contains a total of 67 words with lexarithmos 1272. 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. ἀντίφασις.
- Aristotle — Metaphysics Γ (1005b-1011b), De Interpretatione (18a-19b). Loeb Classical Library.
- Łukasiewicz, Jan — Aristotle's Syllogistic from the Standpoint of Modern Formal Logic. Oxford: Clarendon Press, 1951.
- Kneale, William & Martha — The Development of Logic. Oxford: Clarendon Press, 1962.
- Hegel, G. W. F. — Science of Logic. Nuremberg, 1812-1816.
- Priest, Graham — In Contradiction: A Study of the Transconsistent. Oxford University Press, 2006.
- Aquinas, Thomas — In Libros Metaphysicorum Aristotelis IV. Marietti, 1964.