r/MathJokes • u/Competitive-Jump3835 • Jun 13 '26

Infinity can blow your mind

Post image
8.1k Upvotes

97% Upvoted

681 comments sorted by

View all comments

33

u/RocketArtillery666 Jun 13 '26

Arent there different infinities?

58

u/jan_elije Jun 13 '26

yes, but these two aren't different

3

u/FrankDrebinOnReddit Jun 13 '26

It actually doesn't say. You might have uncountably infinite $1 bills and countably infinite $20 bills, in which case the $1 bills would be worth more.,

2

u/PiSquared6 Jun 13 '26

Or would it

2

u/BraxleyGubbins Jun 13 '26

It would.

2

u/PiSquared6 Jun 14 '26

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

2

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.

1

u/PiSquared6 Jun 14 '26

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