Proposition (mathematics)

In mathematics, a proposition is a statement that asserts something specific and can be either true or false. It is the fundamental building block of logical reasoning and proofs. When mathematicians encounter a proposition, they carefully analyze and verify its truth using logical steps. If the statement can be shown to be true through reasoning and evidence, it is proved. If not, it is disproved. Propositions help mathematicians organize ideas, develop theories, and communicate results clearly, forming the backbone of mathematical logic and structure.