definabilitya
Definability refers to the concept within logic and mathematics concerning whether a particular object, relation, or property can be precisely described using the formal language of a given theory. An object is said to be definable if there exists a formula within the language that uniquely identifies that object. Similarly, a relation or property is definable if there is a formula that precisely characterizes all and only those elements satisfying that relation or property.
The notion of definability is fundamental in model theory, set theory, and computability theory. It allows mathematicians
Different notions of definability exist, such as definability with parameters, existential definability, and uniform definability. The