Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)

On 10/12/24 2:19 PM, WM wrote:

On 11.10.2024 03:38, Richard Damon wrote:
 

The SIZE of the set of natural numbers is infinite, and thus obeys the laws of infinite numbers. An infinite number, which has a finite number, added to, multiplied by, or used as a power, is still that same infinite number. It may seem impossible, but that is the nature of infinite numbers.

 No natural number is infinite. They all obey the law of finite numbers. That includes the law that 2n > n.
 Regards, WM
 

Right, but for any number n that is a natural number 2n is also a natural number and in the set.
What I was discussing with the mathematics of INFINITE numbers, which follow different rules than the natural numbers.
The SIZE of these sets is not a Natural Number, but an infinite one.
The size of both the set of all Natural Numbers, as well as the subset of it this is only the Even Natural Number is ALeph_0, and infinite number. And that works as Aleph_0 / 2 is Aleph_0.