## ::Philosophy of mathematics

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The **philosophy of mathematics** is the branch of philosophy that studies the philosophical assumptions, foundations, and implications of mathematics. The aim of the philosophy of mathematics is to provide an account of the nature and methodology of mathematics and to understand the place of mathematics in people's lives. The logical and structural nature of mathematics itself makes this study both broad and unique among its philosophical counterparts.

The terms *philosophy of mathematics* and *mathematical philosophy* are frequently used as synonyms.<ref>{{#invoke:Citation/CS1|citation
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**Philosophy of mathematics sections**

Intro Recurrent themes History Major themes Contemporary schools of thought Arguments Aesthetics See also Notes Further reading External links

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