Axiomatic
Definition
Having the character of an axiom, regarding axioms, or based on a formalized system of axioms. In a broad and scientific sense, it describes a rigorous deductive method through which an entire body of knowledge is logically structured starting exclusively from fundamental propositions admitted without proof, ensuring precise derivation, conceptual balance, and indisputable mathematical validity.
Bilingual Equivalents
- Axiomatic
- Self-evident
Grammatical & Source Details
| Inflection Type | Variable adjective with standard masculine, feminine, and structural plural variations. |
| Formation | Neologistic borrow from French ('axiomatique'), structurally derived from the Greek root word 'axioma'. |
| Spelling / Pronunciation | [ak.si.o.ma.ˈtik] |
| Source | Glossary of Theoretical Logic, Mathematics and Advanced Scientific Methodologies |
Contextual Usage Examples
RO: Logicianul a dezvoltat un model axiomatic riguros pentru a formaliza regulile de inferență ale limbajului.
EN: The logician developed a rigorous axiomatic model to formalize the inference rules of the language.
RO: Această concluzie este axiomatică, decurgând direct și fără echivoc din definițiile stabilite inițial.
EN: This conclusion is axiomatic, following directly and unequivocally from the definitions established initially.
RO: Cercetarea folosește o abordare axiomatică pentru a redefini legile fundamentale ale fizicii particulelor.
EN: The research uses an axiomatic approach to redefine the fundamental laws of particle physics.
Idioms & Phrases
Metodă axiomatică / Axiomatic method
RO: Procedeu structural de expunere a unei științe deductive în care toate teoremele sunt deduse dintr-un set fix de axiome.
EN: A structural procedure of exposing a deductive science where all theorems are deduced from a fixed set of axioms.
Sistem axiomatic / Axiomatic system
RO: Ansamblu formal format din elemente primitive, definiții și postulate corelate matematic pentru a preveni contradicțiile.
EN: A formal assembly consisting of primitive elements, definitions, and postulates mathematically correlated to prevent contradictions.
Structură axiomatică / Axiomatic structure
RO: Configurație logică abstractă în care validitatea fiecărei componente depinde de rigoarea legăturilor cu premisele inițiale.
EN: An abstract logical configuration where the validity of each component depends on the rigor of the links to initial premises.
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