**Philosophy of mathematics** is the study of the foundations of mathematics and the practice of mathematicians from a philosophical perspective. It is concerned with epistemological questions of how mathematical knowledge is learned, as well as the metaphysical questions surrounding the ontological status of numbers and other mathematical logics. In recent decades it has also become more closely aligned with logic, with some overlapping concerns appearing in mathematical logic.

Some of the important philosophers and writers who have discussed or contributed to philosophy of mathematics include:

- Georg Cantor
- Gottlob Frege
- Kurt Gödel
- Charles Sanders Peirce
- Bertrand Russell
- Alfred Tarski
- W.V.O. Quine
- Ludwig Wittgenstein