Tarski's Geometry

Tarski's Geometry is a formal system that defines the fundamentals of geometry using basic concepts like points, lines, and them relationships, all through logical statements. It aims to simplify and clarify geometric reasoning by establishing precise axioms—basic assumptions—from which all other geometric truths can be logically derived. Unlike traditional geometry, which relies on visual intuition, Tarski's approach emphasizes rigor and consistency, grounding geometric ideas in formal logic. This framework allows mathematicians to analyze and understand geometry in a structured way, ensuring that theorems are provable and free from ambiguity.