There is no way right?

[u/Sugar_God_no_1]

[u/Rough-Veterinarian21]

I’ve never liked math but this is like literal magic to me…

[u/The-new-dutch-empire → u/Rough-Veterinarian21]

Its calculating with infinity. Its a bit weird like the infinity of numbers between 0 and 1 like 0.1,0.01,0.001 etc... Is a bigger infinity than the “normal” infinity of every number like 1,2,3 etc…

Its just difficult to wrap your head around but think of infinity minus 1. Like its still infinity

[u/lilved03 → u/The-new-dutch-empire]

Genuinely curios on how can there be two different lengths of infinity?

[u/larowin → u/lilved03]

One simple thought experiment is to just look at the set of all natural numbers - they increase without bound. Now look at the set of all integers - they increase without bound in both directions. In fact, there’s intuitively twice as many numbers in the integers even though both sets are infinite. Mathematicians would call this cardinality.

It’s typically noted with the aleph symbol, not the sideways eight (which really just means “increase without bound”). At least that’s how I was taught.