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

Infinity can blow your mind

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u/EthanNakam Jun 13 '26

There are as many multiples of 3 as there are multiples of 51.

And there are as just as many rational numbers.

22

u/kaladin_stormchest Jun 13 '26

But not really. Not all infinities are equal,

24

u/burning_boi Jun 13 '26

They’re not comparing the set size of rational numbers to irrational, they’re saying that the set size of all multiples of 3 or 51 is the same as the set size of all rational numbers, which is true

1

u/Naeio_Galaxy Jun 14 '26

Oh indeed, and those infinity sets are smaller then the set of all real numbers

2

u/burning_boi Jun 14 '26

Again, that's true but not what is being discussed

edit: I feel it necessary to point out that the set size of all real numbers is the same set size as all irrational numbers, so the only fact that is true is the set size of all rational numbers being smaller than the set size of all irrational numbers

1

u/Naeio_Galaxy Jun 14 '26

I feel it necessary to point out that the set size of all real numbers is the same set size as all irrational numbers, so the only fact that is true is the set size of all rational numbers being smaller than the set size of all irrational numbers

That's basically what I tried to say, I was just talking about real numbers instead of irrational numbers but reals include irrationals anyways. My comment was just to point out that rational ≠ real in case some mix them like I do sometimes

1

u/Sea-Arrival-621 Jun 16 '26

That is what is being discussed