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

On 12/15/24 6:05 AM, WM wrote:

On 15.12.2024 11:49, Mikko wrote:

On 2024-12-14 15:46:04 +0000, WM said:
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On 14.12.2024 12:06, joes wrote:

 

They are ALREADY there.

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Therefore they cannot appear after the cursor has passed their positions. Every interval and every end of an interval would be hit by the cursor.

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Yes, but not before another interval hits the cursor.

 You believe that only afterwards the first interval comes into being?
That is not the infinity used in set theory.
 Regards, WM
 

There is no "next", only before or after in dense sets.
Next is a property of directly indexed sets, like the naturals, which don't have a "last", even in complete actual infinity.