mathematical system are undefined terms, defined terms, axioms/postulates, theorems pls give my flashcard about this

Flashcard 1: Front: Undefined Terms Back: These are basic, foundational terms in mathematics that are not formally defined, but are given a general understanding. Examples include points, lines, and planes in geometry.

Flashcard 2: Front: Defined Terms Back: These are terms in mathematics that are defined using undefined terms and/or other defined terms. For example, a circle is defined as the set of all points in a plane that are a certain distance (the radius) from a certain point (the center).

Flashcard 3: Front: Axioms/Postulates Back: These are statements in mathematics that are accepted as true without proof. They serve as the starting point for developing a mathematical theory. For example, Euclid's postulates are the foundation of Euclidean geometry.

Flashcard 4: Front: Theorems Back: These are statements in mathematics that have been proven to be true based on axioms, postulates, and previously proven theorems. For example, the Pythagorean theorem is a well-known theorem in geometry.