Infinity

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 $n{\lim }_{n\to \infty }$.

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Source §

• Beyond Infinity

Related §

• Hilbert’s Hotel
• Prime Numbers - there’s infinitely many
• Composite Numbers - there’s more infinitely many