1. A philosophical position in mathematics that accepts only finite mathematical objects and rejects the existence of infinite sets or completed infinities.
Usage: technical; philosophy of mathematics

Examples

• Finitism challenges the classical acceptance of infinite sets in modern mathematics.
• Some mathematicians have explored finitism as an alternative foundation for arithmetic.
• The debate between finitism and platonism remains central to philosophy of mathematics.
• Finitism restricts mathematical discourse to constructible, finite objects only.