Explore the concept of infinity in mathematics and its various manifestations in different mathematical contexts.

Infinity is a philosophical and mathematical concept representing boundlessness or endlessness, manifesting in different forms such as potential infinity (countable or uncountable), actual infinity (infinite sets), and limits (approaching infinity). It plays a foundational role in calculus, set theory, and other branches of mathematics, challenging our intuitions about finite quantities and leading to profound insights into the nature of space, time, and the universe.