I started to watch this... Then I realized that it's midnight, the video is 20 min long, and at this point in my life not understanding bigger infinities than other infinities isn't probably going to impact my general happiness in life (I'm pretty satisfied and happy go lucky). In fact watching that could lessen my happiness because that 20 min could be spent playing dragon age. But thank you. I put it in my favorites so I can forget to watch it later.
Just think of it this way. There will always be more numbers than prime numbers, because one class exists inside the other (every prime number is a number but not every number is a prime number). However, there are an infinite number of both regular numbers and prime numbers, so therefore in some way the class of all numbers must be larger than the class of all prime numbers, even though each class is infinitely large.
Actually, both the set of regular numbers (I assume you mean the natural numbers), and the set of prime numbers are the same size of infinity, they are both countably infinite sets.
Actually, he is correct. We call the size of those sets aleph null. Even though those sets go on for infinity, we have a way of counting every element. The set of real numbers is has a larger size because there is no way to even start counting its elements because some of the numbers, like pi, go on forever. We call the size of this set the continuum
Like what is hard to understand? Between 0 and 1 there is an Infnite numbers and obliviously when you take interval from 0 to 2 there would be more numbers between than between 0 and 1 , so one infinite is bigger than another.I would say every kid in the second grade could undertood that
Fuck outta here with that bullshit, yeah if you get a good explanation and think about it maybe but don't be all uppity and "it's not that hard" ugh smh
Other guest here. This stuff about "infinities bigger than others" is a mathematical fact, so you don't need "common sense" to get it, because common sense does not even apprehend what infinity is. You need mathematical logic to get it. Bad guest, bad.
this video explains it very well