Re: Incompleteness of Cantor's enumeration of the rational numbers

On 12/17/24 2:45 PM, WM wrote:

On 17.12.2024 13:34, Richard Damon wrote:

On 12/17/24 5:25 AM, WM wrote:

 

There is no upper bound for the ratio between distance and size of intervals. This excludes the density of intervals. This excludes covering of all rationals by intervals. This excludes a bijection between natural numbers and rational numbers.

 

Nope,

 It does. oo/3 is infinite. That means there are finite distances much larger than the intervals of finite length between intervals which are next to each other. This excludes that these intervals are dense.
 Regards, WM
 

And where was the infinity? You then admit that they were finite distances, so they weren't infinite.
You are just mixing up your terms.
This is just your logic that shows that 0 == 1, and shows that your logic has always just been blown up.