Large Cardinals

Large cardinals are special, highly abstract mathematical concepts in set theory, representing types of infinite sizes larger than those commonly considered. They are hypothetical objects believed to exist within a broad mathematical universe, with properties that extend our understanding of infinity. Their introduction helps mathematicians explore the foundations of mathematics and examine the consistency of various mathematical systems. While they are not objects you can physically observe, large cardinals provide insight into the structure of mathematical infinity and influence what kinds of mathematical truths are possible.