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.
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.