noun
- Plural of finitism; philosophical or mathematical positions that reject the existence or validity of infinite objects, sets, or processes, accepting only finite constructions.
Usage: technical; philosophy of mathematics; formal logic
Examples
- Various finitisms have been proposed as alternatives to classical set theory.
- Constructivists and finitists argue that mathematical objects must be finitely constructible.
- The debate between finitisms and platonism remains central to philosophy of mathematics.
- Some finitisms reject the axiom of infinity outright.