
Hilbert's axioms
Hilbert's axioms are a set of foundational rules designed to formalize Euclidean geometry, ensuring logical consistency and clarity. They specify basic concepts like points, lines, and planes, and define how these elements relate, such as how two points determine a line or how points lie on lines and planes. These axioms serve as the starting assumptions from which all geometric truths can be logically derived, providing a rigorous framework that eliminates ambiguities and ensures the integrity of geometric reasoning.