Lattices

Lattices are mathematical structures that organize elements in a way where any two elements have a unique highest common point (called their meet) and a lowest common upper point (called their join). Think of them like a family tree or a hierarchy, but with well-defined rules for combining and comparing elements. Lattices can model relationships like subsets, logic operations, or possible states, providing a flexible framework for understanding order, structure, and logic across various fields such as mathematics, computer science, and information theory.