Another Word For Axiom

Meaning

An "axiom" is a statement or proposition that is accepted as being true without proof. It serves as a foundational principle or starting point for reasoning and argument. In mathematics and logic, axioms are used to build the framework from which theorems and other conclusions can be derived. They are typically seen as self-evident truths.

Synonyms

• Principle
• Maxim
• Postulate
• Premise
• Assumption

Antonyms

• Conclusion
• Corollary
• Inference
• Hypothesis
• Denial

Etymology

The word "axiom" comes from the Greek word "axiōma," meaning "that which is thought worthy or fit," derived from "axioun," which means "to consider worthy." This illustrates that axioms are regarded as fundamental truths in various fields of study.

Examples

1. In geometry, Euclid's axioms lay the groundwork for all subsequent theorems and concepts.
2. The principle that all humans are created equal can be viewed as an axiom in discussions of human rights.
3. The researchers accepted the axiom that increased education leads to better economic outcomes.
4. In logic, the axioms of a system determine the validity of the arguments made within that system.
5. The axiom of choice is a key concept in set theory, illustrating that one can choose an element from each set in a collection.