**Mathematics**

In the foundations of mathematics, formalism is associated with a certain rigorous mathematical method: see formal system. In common usage, *a* formalism means the out-turn of the effort towards formalisation of a given limited area. In other words, matters can be formally discussed once captured in a formal system, or commonly enough within something *formalisable* with claims to be one. Complete formalisation is in the domain of computer science.

Formalism also more precisely refers to a certain school in the philosophy of mathematics, stressing axiomatic proofs through theorems, specifically associated with David Hilbert. In the philosophy of mathematics, therefore, a formalist is a person who belongs to the school of formalism, which is a certain mathematical-philosophical doctrine descending from Hilbert.

Read more about this topic: Formalism (philosophy)

### 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)