I overheard someone ask another person, “Which has move value — an infinite number of 1 dollar bills or an infinite number of 20 dollar bills?”

I asked my mathematician friend about it (since I am ignorant about infinity and am still struggling with how infinity is such a powerful concept in the mathematical field of calculus).

He told me that “Both are equal; they are both of infinite value”.

He then proceeded to tell me things that I somewhat get, but not fully —

• Infinity is a concept that goes on forever
• No matter how many dollar bills you add of either denomination, you’ll never reach the end of the infinite set
• You can imagine pairing each $1 bill with a specific $20 bill. Since both sets are infinite, you can create a one-to-one correspondence between them, even though there are more $1 dollar bills for every corresponding $20 bill.
• This concept is mind-bending, but this is all about the idea of “infinite cardinalities”.

And I have no idea about “infinite cardinalities”.

But that is probably for another round of coffee with my mathematician friend.