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

On 10/4/24 5:27 AM, WM wrote:

On 04.10.2024 03:23, Richard Damon wrote:

On 10/3/24 2:25 PM, WM wrote:

 

You distinguish two unit fractions 1/n and 1/m if you place a point in distance d from 0 between them: 1/n < d < 1/m.
That means you cannot distinguish ℵ₀ smaller unit fractions.

 

Sure we can, we just can't find any that have less than Aleph_0 numbers below them since those numbers don't exist.

 They do. 0 has no unit fraction below it. If the next unit fraction has unit fractions below it, then it is not the next. It has ℵ₀ smaller unit fractions below it which cannot be distinguished.
 Regards, WM
 

But there is not "next" unit fraction above zero, a concept that you don't seem to be able to understaend.
I guess you are just lioke the flat earthers that think there litterally could be "four corners" to the sphere of the world.
Sorry, your brain is just exposed as being totally exploded by the contradictions of your using finite logic on an infinite set that it doesn't support.
Your problem is you can't HAVE the set of Natural Numbers (or rational or reals) because your logic can't use them, and you destoryed what was left of your logic system by breaking it on a task too big for it,
Sorry, that is the facts, even if you refuse to believe them. Your trying to refute them just shows you to be an ignorant liar.