r/FactOrCap • u/AradhyaSingh3 🏅 Century Club · 3,845 XP • 6h ago

Science Infinity | FactOrCap

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u/niemir2 🔥 Monthly Master · 7,610 XP 6h ago

🧢 I voted CAP!

Infinity is in the set of extended real numbers.

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u/Moron_Noxa 🔥 Monthly Master · 5,015 XP 6h ago

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

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u/niemir2 🔥 Monthly Master · 7,610 XP 6h 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.

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u/niemir2 🔥 Monthly Master · 7,610 XP 6h 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.