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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: 2N=E
Date: Sat, 02 Nov 2024 10:09:17 -0400
Organization: Peripheral Visions
Lines: 19
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References: <vb4rde$22fb4$2@solani.org>   <fb930b22-7f79-4a10-858d-a1a9faccc9b9@tha.de> <e2e906ae-48c5-453b-a38f-94c1ebc9ba6b@att.net> <vfgiqa$38oob$1@dont-email.me> <d781add9-cd6b-4fff-9601-111c74f4ae32@att.net> <vfgqa8$39o4h$1@dont-email.me> <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> <485101a8f8a63991b9a375b27310d639c1b71713@i2pn2.org> <vg2akc$36ojq$5@dont-email.me> <ea5b8e8fd08ae108c6a5ea83f448f9eeb889694e@i2pn2.org> <vg4upq$3nd3l$4@dont-email.me>
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WM formulated on Saturday :
> On 02.11.2024 01:55, Richard Damon wrote:
>> On 11/1/24 6:30 AM, WM wrote:
>
>>> If the complete interval is reduced in density then it is enlarged.
>>> Complete sets remain of same size.
>>>
>> Nope. because the "complete interval" has infinite length, and thus 
>> "density" in the finite sense isn't defined.
>
> Density does not depend on finiteness. The density of even numbers is half of 
> the density of integers.

Neither of those are dense sets.

> When doubling all natnumbers, the result cannot be that numbers are 
> exorcized.

Perhaps not, but the order type could change.