**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

### Other articles related to "mathematics":

... At Heiligenstadt, he taught

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... Toeplitz's father and grandfather were

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**Mathematics**faculty included David Hilbert, Felix Klein, and Hermann Minkowski ...

**Mathematics**- Foundational Crisis - Philosophical Views - Logicism

... Logicism is one of the schools of thought in the philosophy of

**mathematics**, putting forth the theory that

**mathematics**is an extension of logic and therefore some or all

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... He graduated from technical

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**mathematics**and physics of then Faculty for natural sciences and technology (FNT) of the University of Ljubljana ... He taught and solved problems from many fields the usage of

**mathematics**in natural and social sciences, statistics, mechanics, classical applied

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**Mathematics**As Science

... Gauss referred to

**mathematics**as "the Queen of the Sciences" ... Of course,

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### Famous quotes containing the word mathematics:

“... though *mathematics* may teach a man how to build a bridge, it is what the Scotch Universities call the humanities, that teach him to be civil and sweet-tempered.”

—Amelia E. Barr (1831–1919)

“*Mathematics* alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In *mathematics* we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of *mathematics* is in relation to our intelligence.”

—Simone Weil (1909–1943)