Definition

A definition is an explanation of the meaning of a word, phrase, or concept. It is a concise statement that provides a detailed description of the meaning of a word, phrase, or concept, as well as its relationship to other words and concepts. A definition should be exact and clear and should not contain any opinion or bias. It should be based on facts and evidence, and it should accurately reflect the usage of the word, phrase, or concept within the context in which it is being used.

In mathematics, a definition is used to give a precise meaning to a new term, by describing a condition which unambiguously qualifies what a mathematical term is and is not. Definitions and axioms form the basis on which all of modern mathematics is to be constructed.