
Truth in mathematics
In mathematics, "truth" refers to whether a statement or proposition correctly describes a fact within a given system or context. A statement is considered true if it accurately follows from the accepted rules and axioms of that system, often verified through logical deduction or proof. Conversely, it is false if it contradicts these rules or facts. Mathematical truth is objective within its framework, meaning it doesn't change based on opinions but depends on logical consistency and evidence. This rigorous approach ensures that mathematical statements are either definitively true or false, providing a solid foundation for reasoning and discovery.