tiên đề
Học thuậtThân thiện
Definition
- 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.