# Mathematical object

## Anything with which mathematical reasoning is possible / From Wikipedia, the free encyclopedia

#### Dear Wikiwand AI, let's keep it short by simply answering these key questions:

Can you list the top facts and stats about Mathematical object?

Summarize this article for a 10 year old

A **mathematical object** is an abstract concept arising in mathematics.
In the usual language of mathematics, an *object* is anything that has been (or could be) formally defined, and with which one may do deductive reasoning and mathematical proofs. Typically, a mathematical object can be a value that can be assigned to a variable, and therefore can be involved in formulas. Commonly encountered mathematical objects include numbers, sets, functions, expressions, geometric objects, transformations of other mathematical objects, and spaces. Mathematical objects can be very complex; for example, theorems, proofs, and even theories are considered as mathematical objects in proof theory.

This article includes a list of general references, but it lacks sufficient corresponding inline citations. (June 2009) |

The ontological status of mathematical objects has been the subject of investigation and debate by philosophers of mathematics.^{[1]}