Non-constructive methods

Non-constructive methods are mathematical techniques used to prove that something exists without explicitly showing how to find or construct it. They often rely on logical arguments or indirect reasoning, such as contradiction or the pigeonhole principle, to establish existence. For example, a non-constructive proof might show that at least one solution exists without providing a specific example. These methods are valuable for confirming existence but do not necessarily offer a way to explicitly identify or build the objects involved.