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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: 2N=E
Date: Mon, 04 Nov 2024 03:45:54 -0500
Organization: Peripheral Visions
Lines: 19
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References: <vb4rde$22fb4$2@solani.org>   <a45b5e62-4b8c-4428-83ef-8b9bf62d6981@att.net> <vfj3e9$1e96h$1@solani.org> <40b398d1-40c5-45e9-8615-1cf437af0185@att.net> <vfoqi1$14lcd$6@dont-email.me> <3537899e-e951-4138-b56c-fc76340762b8@att.net> <vftj9t$26ql2$1@dont-email.me> <8b31df46-1361-4dd1-aed3-1f42039af960@att.net> <vfu2qi$29m4j$2@dont-email.me> <84c1bb5d-67db-4d21-918a-f86cd1f815c5@att.net> <vfvefj$9264$2@solani.org> <ca84d22c-3684-4744-a145-a941bac4651f@att.net> <vg0iba$2q8fo$1@dont-email.me> <c2087013-5e5c-4e01-b356-29ffa484bfc2@att.net> <vg0p6j$2ra8e$1@dont-email.me> <vg0u81$2s8he$1@dont-email.me> <vg29sb$36ojr$3@dont-email.me> <vg2cb1$379th$1@dont-email.me> <vg2eqf$36ojq$9@dont-email.me> <vg2i33$38a2j$1@dont-email.me> <vg31uv$3b2rd$1@dont-email.me> <a3f1a8c045d260ea779c538c2f5a360631cb7d64@i2pn2.org> <vg5n8t$3sb7d$4@dont-email.me> <a4609d595975de654c01758fba3906e7cea16285@i2pn2.org> <vg7oe0$9ma8$7@dont-email.me> <vg8u5c$ik8k$1@dont-email.me> <vg8u7o$ik8k$2@dont-email.me>
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Chris M. Thomasson pretended :
> On 11/3/2024 2:40 PM, Chris M. Thomasson wrote:
>> On 11/3/2024 3:56 AM, WM wrote:
>>> On 03.11.2024 09:50, joes wrote:
>>>> pparently you do think that there is a
>>>> natural n such that 2^n is infinite.
>>>
>>> If all naturals are there, then no further one is available.
>> 
>> Sigh. There are infinite natural numbers, there is no last largest one.
>
> I should say infinitely many natural numbers... Sorry! ;^o
>
> Damn it. :^)

Yeah, it is best to use the words 'set of' when 'all' is invoked. The 
set of all natural numbers is infinite while each and every one of the 
elements is finite. In that sense (the set of) 'all' is different from 
'each' and 'every'.