This seems to be a widely accepted theory on larger sets of infinite numbers, originally shown by Cantor.
After watching the video, I am trying to grasp in layman's terms why this is true. My understanding is the following, and I wondered if someone could confirm if this is correct;
The reason there are more real numbers between 0 and 1, than all the natural numbers, is because in this example, each real number can have a length of infinity.
Initially I thought that there is an infinite number of real numbers between 0 and 1, and an infinite number of natural numbers. This would allow for (to use the videos metaphore) a line to be drawn between every real and natural number. But if the real numbers are also infinite in length, there are "infinity to the power of infinity" real numbers, and just infinity natural numbers.
Have I understood this correctly? If not, could someone spell it out for me please?