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Set theory is the mathematical study of sets, which are collections of objects. In geometry, set theory can be used to define and work with shapes and spatial relationships. It provides a framework for describing groups of points, lines, planes, and other geometric figures. Set theory also underpins the logical foundations of mathematics, allowing for rigorous proofs and deductions in geometry and beyond. Through its use in defining sets and operations on them, set theory enables the formalization and abstraction of geometrical concepts, making it a powerful tool for understanding and analyzing spatial relationships and structures in geometry.