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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: The reality of sets, on a scale of 1 to 10 [Was: The
 non-existence of "dark numbers"]
Date: Sun, 23 Mar 2025 22:54:35 +0100
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Am 23.03.2025 um 22:28 schrieb Alan Mackenzie:

> What is the "reality" (in this sense) of N?

The "reality" (or rather "substance") of N are its elements

       1, 2, 3, ...

Clearly, IN\{1} has less "substance" than IN. Actually, the element 1 is 
missing in IN\{1} (in comparison to IN).