Meaning of finitism | Babel Free

Definitions

An extreme form of constructivism, according to which a mathematical object does not exist unless it can be constructed from natural numbers in a finite number of steps.

uncountable

Examples

“As a result⟳, some logical principles no longer apply⟳, including Aristotle’s theorem of the excluded middle, according to which a mathematical statement is always either true or false. In finitism, a statement can be indeterminate at a certain point⟳ in time if the value of a number⟳ has not yet been determined. For example, with statements that revolve around numbers such as 0.999..., if you carry⟳ out the full period and consider⟳ an infinite number⟳ of 9’s, the answer⟳ becomes 1. But if there is no infinity, this statement is simply wrong.”

CEFR level