Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail
From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Mon, 7 Oct 2024 07:17:44 -0400
Organization: i2pn2 (i2pn.org)
Message-ID: <81f6f0271a53803c0bf79be304ce2484e33aecda@i2pn2.org>
References: <vb4rde$22fb4$2@solani.org> <vdpbuv$alvo$1@dont-email.me>
 <8c94a117d7ddaba3e7858116dc5bc7c66a46c405@i2pn2.org>
 <vdqttc$mnhd$1@dont-email.me> <vdr1g3$n3li$6@dont-email.me>
 <8ce3fac3a0c92d85c72fec966d424548baebe5af@i2pn2.org>
 <vdrd5q$sn2$2@news.muc.de>
 <55cbb075e2f793e3c52f55af73c82c61d2ce8d44@i2pn2.org>
 <vdrgka$sn2$3@news.muc.de> <vds38v$1ih6$6@solani.org>
 <vdscnj$235p$1@news.muc.de> <RJKcnSeCMNokRpz6nZ2dnZfqnPadnZ2d@giganews.com>
 <vdto2k$1jte$1@news.muc.de> <vdu4mt$18h8h$1@dont-email.me>
 <vdu874$271t$2@news.muc.de> <vdua6f$18vqi$2@dont-email.me>
 <05a3027798506434bf2f30b527e0f57d300e76c3@i2pn2.org>
 <ve0570$1kqpu$2@dont-email.me>
 <6f188d193341a3862f4c788a44dff3dfb27fb6bd@i2pn2.org>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Mon, 7 Oct 2024 11:17:45 -0000 (UTC)
Injection-Info: i2pn2.org;
	logging-data="951642"; mail-complaints-to="usenet@i2pn2.org";
	posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg";
User-Agent: Mozilla Thunderbird
X-Spam-Checker-Version: SpamAssassin 4.0.0
In-Reply-To: <6f188d193341a3862f4c788a44dff3dfb27fb6bd@i2pn2.org>
Content-Language: en-US
Bytes: 2859
Lines: 24

On 10/7/24 7:13 AM, joes wrote:
> Am Mon, 07 Oct 2024 10:13:21 +0200 schrieb WM:
>> On 06.10.2024 17:55, joes wrote:
>>> Am Sun, 06 Oct 2024 17:26:07 +0200 schrieb WM:
>>>> On 06.10.2024 16:52, Alan Mackenzie wrote:
>>>>> WM <wolfgang.mueckenheim@tha.de> wrote:
> 
>>>>> This idea of time may be what misleads the mathematically less adept
>>>>> into believing that 0.999... < 1.
>>>> That is true even in actual infinity.
>>>> We can add 9 to 0.999...999 to obtain 9.999...999. But multiplying
>>>> 0.999...999 by 10 or, what is the same, shifting the digits 9 by one
>>>> step to the left-hand side, does not increase their number but leaves
>>>> it constant: 9.99...9990.
>>>> 10*0.999...999 = 9.99...9990 = 9 + 0.99...9990 < 9 + 0.999...999 ==>
>>>> 9*0.999...999 < 9 as it should be.
>>> In actual infinity, there is no last 9 (that would not be infinite).
>> Actual means all, but not more. This implies a last before ω. The
>> infinity means an end cannot be determined. It is produced by the dark
>> numbers.
> Actually infinite means infinite, which doesn’t change when you add or
> subtract a finite number.
> 

Actual infinity doesn't exist for us finite beings.