Axiom

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masculine noun / archaism (mathematics / logic)

Definition

An archaic, regional variant or a simplified linguistic form for the neuter noun 'axiomă' (axiom), defining a fundamental truth, self-evident in itself, which requires no proof and serves as a structural starting point in building a scientific theory or a deductive system. In old mathematical or philosophical texts, the term was utilized as a stable logical pillar from which secondary theorems and propositions were rigorously deduced.

Bilingual Equivalents

  • Axiom

Grammatical & Source Details

Inflection Type Archaic masculine noun, presenting specific singular and plural historical endings.
Formation Primary phonetic variant originating from the direct adaptation of the Greek etymon 'axioma' into a masculine format within old manuscripts.
Spelling / Pronunciation [ak.si.ˈom]
Source Lexicon of Historical Scientific Terminology and Logical Deductive Foundations

Contextual Usage Examples

RO: În traducerea veche a geometriei lui Euclid, fiecare axiom era prezentat clar la începutul capitolului.

EN: In the old translation of Euclid's geometry, each axiom was clearly presented at the beginning of the chapter.

RO: Filozoful se baza pe un axiom incontestabil pentru a-și construi întreaga demonstrație metafizică.

EN: The philosopher relied on an uncontestable axiom to construct his entire metaphysical demonstration.

RO: Acest text din secolul al XVII-lea folosește termenul axiom în loc de forma modernă feminină a cuvântului.

EN: This 17th-century text uses the term axiom instead of the modern feminine form of the word.

Idioms & Phrases

Un axiom logic / A logical axiom

RO: Principiu de bază imuabil care nu poate fi contrazis într-un sistem rațional structural.

EN: An immutable basic principle that cannot be contradicted within a structural rational system.

Sistem de axiomi / System of axioms

RO: Ansamblul postulatelor arhaice luate ca premisă pentru generarea regulilor științifice secundare.

EN: The assembly of archaic postulates taken as a premise for generating secondary scientific rules.

Validitate de axiom / Axiom validity

RO: Proprietate a unui enunț structural de a fi recunoscut instant ca adevărat, fără experimente.

EN: The property of a structural statement to be instantly recognized as true without experiments.

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