Why Do Infinity and Half-Infinity Feel the Same?

Infinity can feel like a never-ending party, and sometimes, two parties with different sizes still feel the same. Imagine you're at a party where there are infinite guests, but then a new guest comes in and brings another infinite group of friends. If everyone moves around smartly, it feels like the same big party all along. That’s how some infinities can be the same even when they seem different.

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Examples

  1. At an infinite party, a new guest walks in with another infinite group, and still, it feels like one big never-ending party.
  2. Imagine you have unlimited jellybeans and someone else has unlimited jellybean bags, they both feel like unlimited jellybeans.
  3. Even though there are more numbers between 0 and 1 than whole numbers, counting them all feels the same size.

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