Definition

A philosophical view in mathematics that states a mathematical object only exists if it can be created using a finite number of steps with natural numbers.

Example

Finitism challenges the existence of infinite mathematical objects.

Conversation

Have you ever heard of finitism in mathematics?

Yeah, I think it's about only accepting what can be constructed in finite steps, right?

Exactly! It's such an interesting concept, especially in contrast to other theories.

I agree! It really challenges how we think about mathematical existence.

Synonyms & Antonyms

Root Explanation

Finitism → It is formed from "finitus" (from Latin, meaning limited or finite) and the suffix "-ism" (meaning a doctrine or belief). The word "finitism" refers to the doctrine that asserts the existence of only a finite number of things or that certain concepts are limited in nature.

Memory Tip

Think of the Latin word for limited ('finitus') to remember that 'finitism' is about the belief in limits or finiteness.

Visually Confused Words