noun
- a person who believes in or advocates finitism, the philosophical position that only finite mathematical objects and constructions are valid or meaningful.
Usage: technical; philosophy of mathematics
adjective
- of, relating to, or characteristic of finitism or finitists.
Usage: technical; philosophy of mathematics
Examples
- The finitist rejects the existence of infinite sets in mathematics.
- A finitist approach to arithmetic focuses only on constructible numbers.
- Finitist mathematicians argue that only finitely computable objects should be accepted.
- The debate between finitists and classical mathematicians continues in logic.
- Her finitist philosophy influenced her work on computational mathematics.