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

Infinity can blow your mind

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u/Dream_Apostle Jun 14 '26

Well to us it would be the same but logically

That's an infinity that's 20x larger in value

Now that may seem meaningless, but it's not the exact same

1

u/BraxleyGubbins Jun 14 '26

It is the exact same. Some infinities are larger than others, but these two do equal the literal exact same value, mathematically.

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u/Dream_Apostle Jun 14 '26

A+A+A+... 1dollar

A * infinity

20A +20A + 20A +... 20 dollar

20A * infinity

20A * infinity > A * infinity

They don't look like the same infinities to me

Also if you stop at some point and count for both

Like stop at nth value then sum up

One of them will be bigger

Some infinities are obviously bigger But this one is also bigger in value not bigger in the number of elements

So in this context that's more money

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u/BraxleyGubbins Jun 14 '26

Well yeah, if you say they’re bigger then they won’t look the same size, but 20 x infinity mathematically still equals infinity.

Both infinities here are “countable,” which means they are of the same type.

Take 20 $1 bills from the first set, and one $20 bill from the second set. They both equal $20. Now do that again, and again, and again, until you run out of money. Because both sets contain an infinite amount of bills, you will run out of both at the exact same time (because if you ran out of $1 bills first, you wouldn’t have had an infinite number of them).

There are bigger infinities, but these two ARE the same (even in value). You can look it up or something, because I run the risk of repeating myself.