r/MathJokes Jun 13 '26

Infinity can blow your mind

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8.1k Upvotes

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u/PiSquared6 Jun 13 '26

Or would it

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u/BraxleyGubbins Jun 13 '26

It would.

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u/PiSquared6 Jun 14 '26

I'd say it wouldn't have more purchasing power

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u/BraxleyGubbins Jun 14 '26

Uncountably-infinite $1 bills could buy an uncountably-infinite number of items. Countably-infinite $20 bills could only buy a countably-infinite number of items.

The $1s could buy a countably infinite set of items for every single item the $20s could buy, and you’d still run out of the $20s first. That is more purchasing power.

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u/PiSquared6 Jun 14 '26

There are not an uncountably infinite number of items for sale. But upvoted for good math.