Path: ...!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Tue, 8 Oct 2024 16:43:17 +0200
Organization: A noiseless patient Spider
Lines: 16
Message-ID: <ve3ge5$27hfk$1@dont-email.me>
References: <vb4rde$22fb4$2@solani.org>
 <461bf21a7f094701b936484f17bd3d68211fcf81@i2pn2.org>
 <vdjcg0$11itj$2@solani.org>
 <5086a1e540cdfb8fd979d8eca95ab8123166bf54@i2pn2.org>
 <vdmo3e$3r2lg$1@dont-email.me>
 <63b03cafeddb7c5485f1a863d629f56dd10c5bc1@i2pn2.org>
 <8d9d2296-ea12-4aa1-9e62-03828b3e516e@tha.de>
 <d0e0bd47dfb0b199c64b4e05fe17315c6750471d@i2pn2.org>
 <vdp228$96hv$1@dont-email.me> <vdpcja$alvo$5@dont-email.me>
 <95c4443902896e8ec4c5a99289332800ee56d33b@i2pn2.org>
 <bab0b508-82ea-42c1-bcb5-af42ea8ff230@tha.de>
 <87292fe4478728480baf991c7d2562fc7d372ecf@i2pn2.org>
 <vdrall$gag$1@solani.org>
 <075f62c7305fe7bf6aef0368b5c175d1fb37ba56@i2pn2.org>
 <vds29i$1ih6$4@solani.org>
 <08047fe749f5eb9e923344e444f7acaa419416e4@i2pn2.org>
 <vdtt7t$16hg6$5@dont-email.me>
 <53f7fd701d8dadc055a7c190e8a6967eb93eb891@i2pn2.org>
 <ve07iv$1kopi$4@dont-email.me>
 <14e202eaf3a740b9869ce235406980d7cfad9264@i2pn2.org>
 <ve2qfh$24f8f$1@dont-email.me>
 <4ddd1a0814c0dfb44dd5960f9408dab45b766e7e@i2pn2.org>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 7bit
Injection-Date: Tue, 08 Oct 2024 16:43:17 +0200 (CEST)
Injection-Info: dont-email.me; posting-host="65b8c298f0f553d70dc4358c0b0dae8a";
	logging-data="2344436"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX1/Fn6oIaXYRwKhbcqsnANFQBMu+5aMYyXc="
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:Gp8WvrJLgiBnMGfoTQMd2Zu4ddc=
Content-Language: en-US
In-Reply-To: <4ddd1a0814c0dfb44dd5960f9408dab45b766e7e@i2pn2.org>
Bytes: 2602

On 08.10.2024 14:13, Richard Damon wrote:

> Note, "Geometry" doesn't have the concept of the "open interval", that 
> is a concept created in mathematics. In Geometry, all lines have 
> endpoints,

So it is. Therefore the line going through the set of points has an 
endpoint.

> So, the "first existing point" can't be seen, not because it is dark, 
> but because it doesn't exist

Then the second point would be the first. Of a set of distinct points 
one is the first. In Geometry, all lines have endpoints.

Regards, WM