Definability refers to the ability to describe or specify an object, concept, or property using a clear and precise set of criteria or characteristics. In mathematics and logic, a definable set can be described by a formula or a set of rules that uniquely identify its members. This concept is crucial for understanding how we categorize and analyze different entities within various fields.
In philosophy, definability raises questions about the limits of language and thought. For instance, the Gödel's incompleteness theorems highlight that not all mathematical truths can be defined within a given system. This suggests that some concepts may be inherently indefinable, challenging our understanding of knowledge and meaning.