foundational axiom

[faʊn'deɪʃənəl 'æksiəm]
nounpl: foundational axioms
axioma fundamental
1. A basic, self-evident principle or proposition that serves as the foundation for a system of belief, theory, or logical framework and is accepted without proof
The foundational axiom of mathematics is that two things equal to the same thing are equal to each other.
O axioma fundamental da matemática é que duas coisas iguais a uma mesma coisa são iguais entre si.
2. A core assumption or fundamental truth upon which a larger body of knowledge, discipline, or argument is constructed
The foundational axiom of human rights is that all people possess inherent dignity.
O axioma fundamental dos direitos humanos é que todas as pessoas possuem dignidade inerente.
This term is predominantly used in academic and intellectual contexts in both Brazil and the United States, particularly in mathematics, philosophy, logic, and theoretical sciences. It represents the formal Western tradition of systematic knowledge-building that values explicit foundational principles.
Synonyms / Sinônimos
fundamental principlebasic assumptionfirst principlecore postulatebedrock principle
Antonyms / Antônimos
derived conclusionsecondary principlecontingent truth

Regional Variations

General Brazilian
axioma fundamental
Standard usage in academic and philosophical contexts
Portugal
axioma fundamental
Used identically; common in mathematics and logic
General English (USA)
foundational axiom
Primarily used in academic, mathematical, and philosophical discourse

Related Words

axiompostulateprincipletheoremhypothesispremisefoundation

Related Idioms & Phrases

build upon a foundational axiom
rest on a foundational axiom
challenge a foundational axiom
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