postulates

Postulates are basic assumptions or fundamental principles accepted without proof, serving as the foundation for logical reasoning or mathematical systems. They are the starting points from which more complex ideas and theorems are derived. In essence, postulates are accepted truths that are taken as a given to build a logical framework. For example, in geometry, a postulate might state that through any two points, there is exactly one straight line. These assumptions are not proven within the system but are agreed upon to develop and explore the rest of the theory.