**Mathematics**

In modern mathematics spaces are defined as sets with some added structure. They are frequently described as different types of manifolds, which are spaces that locally approximate to Euclidean space, and where the properties are defined largely on local connectedness of points that lie on the manifold. There are however, many diverse mathematical objects that are called spaces. For example, vector spaces such as function spaces may have infinite numbers of independent dimensions and a notion of distance very different to Euclidean space, and topological spaces replace the concept of distance with a more abstract idea of nearness.

Read more about this topic: Space

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### Famous quotes containing the word mathematics:

“Why does man freeze to death trying to reach the North Pole? Why does man drive himself to suffer the steam and heat of the Amazon? Why does he stagger his mind with the *mathematics* of the sky? Once the question mark has arisen in the human brain the answer must be found, if it takes a hundred years. A thousand years.”

—Walter Reisch (1903–1963)