Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: Ben Bacarisse <ben@bsb.me.uk>
Newsgroups: sci.math
Subject: Re: More complex numbers than reals?
Date: Sun, 14 Jul 2024 02:30:50 +0100
Organization: A noiseless patient Spider
Lines: 45
Message-ID: <87h6cskbed.fsf@bsb.me.uk>
References: <v6ihi1$18sp0$6@dont-email.me> <87v81epj5v.fsf@bsb.me.uk>
	<v6k216$1g6tr$3@dont-email.me> <878qyap1tg.fsf@bsb.me.uk>
	<v6mu4b$22opo$2@dont-email.me> <871q40olca.fsf@bsb.me.uk>
	<v6n880$23rgt$2@dont-email.me> <87jzhsn4bn.fsf@bsb.me.uk>
	<0_MBIwFUmcbVzDRphAhSXT1Jfqk@jntp> <87sewejgk9.fsf@bsb.me.uk>
	<ONuEZurz8QD0hIPq2Y0YWmtMwpU@jntp>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Injection-Date: Sun, 14 Jul 2024 03:30:52 +0200 (CEST)
Injection-Info: dont-email.me; posting-host="654b6c3918d78db6ef8aef8e07fa14fe";
	logging-data="4033299"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX19f02/FTaItAbDLZT9UkfKCW+z2IdGQibE="
User-Agent: Gnus/5.13 (Gnus v5.13)
Cancel-Lock: sha1:CWswVz19McpwVU8j93FcM6BS0dI=
	sha1:tbP8hnbLFtoDvIpbxD9btyV+csQ=
X-BSB-Auth: 1.79e4e28d4a27bae8bef8.20240714023050BST.87h6cskbed.fsf@bsb.me.uk
Bytes: 2857

WM <wolfgang.mueckenheim@tha.de> writes:

> Le 13/07/2024 à 02:12, Ben Bacarisse a écrit :
>> WM <wolfgang.mueckenheim@tha.de> writes:
>> (AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des
>> Unendlichen"
>
> and "Kleine Geschichte der Mathematik"

Optional, I hope.

>> at Hochschule Augsburg.)
>
> Meanwhile Technische Hochschule Augsburg.

A sound name change that reflects the technical college's focus.

>>> Le 11/07/2024 à 02:46, Ben Bacarisse a écrit :
>>>> "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> writes:
>>>
>>>>> {a, b, c} vs { 3, 4, 5 }
>>>>>
>>>>> Both have the same number of elements,
>>>> That will fall down for infinite sets unless, by decree, you state that
>>>> your meaning of "more" makes all infinite sets have the same number of
>>>> elements.
>>>
>>> There are some rules for comparing sets which are not subset and superset,
>>> namely symmetry:
>> Still nothing about defining set membership, equality and difference in
>> WMaths though.
>
> Are my rules appearing too reasonable for a believer in equinumerosity of
> prime numbers and algebraic numbers?

You can define equinumerosity any way you like.  But you can't claim the
"surprising" result of WMaths that E in P and P \ {E} = P whilst
admitting that you have no workable definition of set membership,
difference or equality.

Presumably that's why you teach history courses now -- you can avoid
having to write down even the most basic definitions of WMaths sets.

-- 
Ben.