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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: The reality of sets, on a scale of 1 to 10 [Was: The
 non-existence of "dark numbers"]
Date: Tue, 25 Mar 2025 20:27:26 +0100
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On 25.03.2025 19:03, Alan Mackenzie wrote:
> WM <wolfgang.mueckenheim@tha.de> wrote:
>> On 24.03.2025 21:40, Alan Mackenzie wrote:
> 
>>> Or can you refute my assertions of nonsense by defining this
>>> "substance"/"Realität" in a mathematical fashion?
> 
>> The relative amount of substance of two infinite sets of numbers is the
>> limit for n --> oo of the quotient of the numbers of elements within [0, n].
> 
> Thank you!
> 
> So "substance"/"Realität" is not a propery of sets in general, it is a
> property only of subsets of N.

It has been expanded to rationals and reals the rule of construction and 
the rule of symmetry.

Regards, WM