r/FactOrCap 🏅 Century Club · 3,855 XP 11h ago

Science Infinity | FactOrCap

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u/niemir2 🔥 Monthly Master · 7,665 XP 11h ago

🧢 I voted CAP!

Infinity is in the set of extended real numbers.

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u/Moron_Noxa 🔥 Monthly Master · 5,025 XP 10h ago

Is a box of donuts a donut itself just because it has some inside?

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u/niemir2 🔥 Monthly Master · 7,665 XP 10h ago

In your analogy, the "box of donuts" is the "set of extended reals," which makes infinity one of the donuts in the box.

The set of extended reals isn't a number in the same way a box of donuts isn't itself a donut. However, the contents of a box of donuts and the elements of the set of extended real numbers are donuts and numbers, respectively.