**It goes in forever. And there are different sizes of it. It's also the basis of calculus.** Infinity is a weird concept. It's not a weird _number_, because infinity isn't really a number. It doesn't behave like a number. It doesn't obey the associative property. You can't add one to make it bigger. Some infinities are "countable" (e.g. all whole numbers) and some are "uncountable" (e.g. every irrational number between 0 and 1. Infinity is almost more about how it is expressed than it is a number itself. Different expressions of infinity are "bigger" than others, despite them both being never ending. $n!\lim_{n\to\infty}$ is "more infinite" than just $n\lim_{n\to\infty}$. **** # More ## Source - [[Beyond Infinity]] ## Related - [[Hilbert's Hotel]] - [[Prime Numbers]] - there's infinitely many - [[Composite Numbers]] - there's _more_ infinitely many