Definition:Object

An object is a thing. Everything that can be talked about in mathematics and logic can be referred to as an object.

‎Lewis Carroll was one of the first to consider such a basic abstraction, although he actually used the very word thing.

Another word used in this context is entity.

A general object may be referred to by an object variable which is a symbol used as a variable.

Particular objects can be identified either by means of their proper names or by means of a property.

As an example, $3$ is the proper name for a particular number, while this particular number can also be identified by using, for example, the property: having the state of being the smallest positive odd prime number.

Sources

• T.S. Blyth: Set Theory and Abstract Algebra (1975): $\S 1$