What does it mean to refer to a mathematical object?

A number is a mathematical object used to count, label, and measure.

This is to say that no mathematical object exists without human construction of it, both in mind and language.

In the same way, there are other mathematical objects which may be considered as rings with extra structure.

The games studied in game theory are well-defined mathematical objects.

Such a circle of course cannot exist in the ordinary space we know, but as a mathematical object there is nothing wrong with it.

Not our axioms, but the very real world of mathematical objects forms the foundation.

These transformations are together described by a mathematical object known as a gauge group.

The delta function only makes sense as a mathematical object when it appears inside an integral.

Since some theories are powerful enough to model different mathematical objects, it is natural to wonder about their own consistency.

All agreed about finite mathematical objects like natural numbers.

Helly dimension has also been applied to other mathematical objects.

In that case, a mathematician's knowledge of mathematics is one mathematical object making contact with another.

Some other similar mathematical objects are also called "adjacency algebra".

The language of set theory can be used in the definitions of nearly all mathematical objects.

A vector is a mathematical object that has a size, called the magnitude, and a direction.

If so then it's profound indeed implying that mathematical objects can have consciousness.

There are however, many diverse mathematical objects that are called spaces.

His work is motivated specifically by the desire to create visual representations of mathematical objects.

Tuples are often used to describe other mathematical objects, such as vectors.

One of his most distinctive positions is the as yet controversial claim that mathematical objects don't exist.

The introduction of infinite mathematical objects was a development in mathematics which occurred a few centuries ago.

An isomorphism class is a collection of mathematical objects isomorphic to each other.

Questions of structure and classification of various mathematical objects came to forefront.

In particular, this clarifies exactly what it means for mathematical objects to be considered to be the same.