Aksioomajärjestelmien
Aksioomajärjestelmien, often translated as axiomatic systems, are foundational structures in logic and mathematics. They consist of a set of initial statements, known as axioms or postulates, which are accepted as true without proof. From these axioms, other statements, called theorems, are logically derived through deductive reasoning. The purpose of an axiomatic system is to provide a rigorous and consistent framework for a particular area of study.
The choice of axioms is crucial. They should be independent, meaning no axiom can be proven from
Historically, Euclidean geometry is a prime example of an axiomatic system, with its five postulates forming