Why Does Infinity Sometimes Behave Like a Number?

Imagine you have an endless row of candy bars, that’s like infinity. Now, if someone gives you another endless row of candy bars, it still feels like you have the same amount of candy. That’s how infinite numbers work: sometimes adding more to infinity doesn’t change its size.

What Makes Infinity Special?

Infinity can behave strangely. If you count from 1 to infinity and then start counting again from 2 to infinity, both groups are still the same size, even though one started at a different number.

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Examples

  1. You have an infinite pile of candy. You get another infinite pile, but it still feels the same size.
  2. The number of even numbers is just as big as all whole numbers, even though you are only counting half of them.
  3. If you count from one to infinity and then start counting again from two, both groups are the same size.

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