An axiom is a proposition or statement that is accepted as true without the need for proof, serving as the starting point for building a mathematical theory or system.
Axioms are fundamental in logic and mathematics, providing the basis upon which theorems and proofs are established.
They are considered self-evident or intuitive truths, and their validity is assumed by consensus within the context of a specific mathematical system.
Axioms are crucial for developing a coherent and consistent structure in the construction of mathematical knowledge.
