intuitionistic arithmetic

Intuitionistic arithmetic is a way of doing math that emphasizes constructive methods, meaning that to prove a statement is true, you must explicitly demonstrate or construct an example. Unlike classical mathematics, which accepts proofs based on the law of the excluded middle (either a statement is true or false), intuitionistic mathematics only considers proven statements as true. This approach underpins many areas of constructive logic and computer science, focusing on the existence of objects and proofs that can be explicitly built, ensuring that mathematical assertions have concrete, verifiable evidence.