Definition

1. Noun:
   • Axiom: A statement or principle that is accepted as true without proof, serving as the starting point for further reasoning and deduction, especially in mathematics or logic.
   • Fundamental Principle / Postulate: A basic assumption that forms the foundation of a theory or system of thought.

Usage Examples

• Noun:
  • Trong hình học Euclid, tiên đề về đường thẳng song song là nền tảng quan trọng. (In Euclidean geometry, the parallel postulate is an important foundation.)
  • Ông ấy coi lòng trung thực là một tiên đề sống. (He considers honesty to be a fundamental life principle.)
  • Các nhà toán học xây dựng lý thuyết dựa trên những tiên đề rõ ràng. (Mathematicians build theories based on clear axioms.)

Advanced Usage

• The term is used primarily in formal, academic contexts such as mathematics, logic, and philosophy. In everyday metaphorical use, it refers to a deeply held, unquestioned belief.
• "Hệ tiên đề": Axiomatic system.
  • Toán học hiện đại phát triển từ các hệ tiên đề chặt chẽ. (Modern mathematics develops from rigorous axiomatic systems.)

Variants and Related Words

• Định đề (n): Postulate. Often used interchangeably with "tiên đề" in mathematics.
• Nguyên lý (n): Principle. A broader term for a fundamental truth or law.

Synonyms

• Axiom
• Postulate
• Fundamental principle
• Basic assumption

Related Concepts

• Định lý (Theorem): A statement that has been proven based on axioms and previously established theorems.
• Giả thuyết (Hypothesis): A proposed explanation made on the basis of limited evidence, requiring testing and proof.

noun

1. axiom