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| From | Ben Bacarisse <ben.usenet@bsb.me.uk> |
|---|---|
| Newsgroups | sci.math |
| Subject | Re: Question about unbounded infinite sets... |
| Date | 2024-02-19 00:01 +0000 |
| Organization | A noiseless patient Spider |
| Message-ID | <87il2liap7.fsf@bsb.me.uk> (permalink) |
| References | <uqohpe$11fn$1@dont-email.me> <87bk8gjey1.fsf@bsb.me.uk> <uqojmi$12mt$3@dont-email.me> |
"Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> writes:
> On 2/16/2024 1:07 PM, Ben Bacarisse wrote:
>> "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> writes:
>>
>>> Take a number that wants to get close to zero.
>> This makes no sense. "a number" is one number. And numbers don't want
>> anything.
>
> That was designed to raise a laugh or two. I guess it bombed. Yikes!
Read the room. There are lots of posts here that would be laughed at in
any maths department common room, but the posters make them in all
seriousness. In this context it's hard to make jokes.
>>> Say:
>>>
>>> [0] = 1
>>> [1] = .1
>>> [2] = .01
>>> [3] = .001
>>> [...] = [...]
>> Strange notation. [0] = 1. Eh? Why not just use a more conventional
>> notation for a s sequence:
>
> Too used to a programming language wrt indexing arrays I guess. :^)
What programming language allows you to index nothing?
>> s_0 = 1
>> s_1 = 0.1
>> etc.
>> You can, if you prefer, write it as a function: s(n) = 10^-n (as you do
>> later).
>>
>>> This gets close to zero, yet never will equal zero. Okay so:
>>>
>>> arbitrarily close seems to be the accepted term.
>> But it's not a very good one. For example, one could say that
>> p(n) = 2^n when n is even
>> p(n) = 2^-n when n is odd
>> gets arbitrarily close to zero but also arbitrarily far away from zero.
>
> That's fine with me. I can see it wrt your logic.
>
>
>>> infinitely close is the wrong wording?
>> I would not know what you mean if you said that, so I would say it's the
>> wrong wording. The best wording is to say
>> lim_{n->oo} s(n) = 0.
>> which you can read as "the limit, as n tends to infinity, if s(n) is
>> zero".
>
> The limit of f(n) = 10^(-n) is zero. However, none of the iterates equal
> zero. They just get closer and closer to it...
For all n, s(n) != 0. Is there a point in re-wording things from how a
mathematician would write it? I ask, because most cranks are just
playing language games so re-wording things in some metaphorical way can
suggest you are disputing something in conventional mathematics.
--
Ben.
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Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 12:49 -0800
Re: Question about unbounded infinite sets... Ben Bacarisse <ben.usenet@bsb.me.uk> - 2024-02-16 21:07 +0000
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 13:22 -0800
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-16 13:56 -0800
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 15:09 -0800
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 15:19 -0800
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 09:56 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-17 07:15 -0500
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Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-17 13:35 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 19:14 +0000
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Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-19 07:33 -0500
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Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-23 03:54 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-23 09:04 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-23 07:23 -0500
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Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-24 12:20 +0000
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-24 14:25 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-25 09:05 +0000
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Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-26 08:36 +0000
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-26 14:05 -0500
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Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-29 12:33 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-29 23:55 -0500
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-29 21:27 -0800
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-01 08:52 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-01 13:13 -0500
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-01 10:44 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-01 15:12 -0500
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-01 14:38 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-29 15:28 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-27 14:31 +0000
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-28 12:53 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-28 17:57 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-29 08:30 +0000
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-29 12:48 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-29 19:31 +0000
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-29 15:04 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-01 08:39 +0000
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-01 07:46 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-01 18:25 +0000
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-01 10:48 -0800
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-01 13:55 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-02 12:20 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-02 09:20 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-02 15:09 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-02 10:44 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-02 17:28 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-02 16:57 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-03 08:54 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-03 07:19 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-03 19:02 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-03 15:52 -0500
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-03 14:09 -0800
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-03 18:07 -0500
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-03 15:19 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-04 13:31 -0500
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-04 10:52 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-04 16:20 -0500
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-04 15:16 -0800
Why "not.first.false" Jim Burns <james.g.burns@att.net> - 2024-03-05 15:33 -0500
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-03 15:56 -0800
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-04 09:44 +0000
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-04 13:26 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-04 17:53 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-05 10:09 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-05 06:36 -0500
Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-03-05 08:49 -0500
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-03 14:08 -0800
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-03 14:11 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-01 16:27 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-02 14:33 +0000
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-02 18:04 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-03 08:51 +0000
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-03 11:48 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-04 08:08 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-04 18:56 +0000
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-04 12:49 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-04 16:39 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-05 09:57 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-05 06:40 -0500
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-05 08:15 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-04 16:52 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-05 10:07 +0000
Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-03-05 08:50 -0500
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-20 10:36 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-19 15:21 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-20 08:12 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-20 07:49 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-20 16:52 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-20 21:17 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-21 08:47 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-21 07:32 -0500
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-20 15:02 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-20 21:59 +0000
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-20 14:19 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-20 18:55 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-21 08:39 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-21 07:32 -0500
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-21 14:26 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-22 13:06 +0000
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-22 13:12 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-23 08:55 +0000
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-23 14:21 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-24 12:10 +0000
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-24 12:55 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-25 09:01 +0000
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-25 14:35 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-26 08:32 +0000
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-26 11:44 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-27 14:24 +0000
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-27 09:42 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-27 12:45 -0500
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-22 16:25 -0800
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-22 16:44 -0800
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-20 21:17 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-21 08:52 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-21 07:32 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-22 12:04 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-22 07:17 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-22 14:11 +0000
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-22 16:27 -0800
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-23 07:23 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-24 11:30 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-24 10:31 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-24 16:16 +0000
Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-24 11:29 -0500
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-24 11:47 -0500
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-22 16:26 -0800
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-21 10:27 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-21 15:02 -0500
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-21 12:59 -0800
Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-21 17:23 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 10:00 +0000
Re: Question about unbounded infinite sets... "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2024-02-18 20:00 -0800
Re: Question about unbounded infinite sets... Yecin Tcharushin Bazunov <inaah@htr.ru> - 2024-02-19 18:30 +0000
Re: Question about unbounded infinite sets... "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2024-02-19 19:19 -0800
Re: Question about unbounded infinite sets... "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2024-02-20 11:10 -0800
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-16 15:35 -0800
Re: Question about unbounded infinite sets... "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2024-02-16 18:48 -0800
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-16 19:34 -0800
Re: Question about unbounded infinite sets... Ben Bacarisse <ben.usenet@bsb.me.uk> - 2024-02-19 00:01 +0000
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-18 16:54 -0800
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 08:23 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-17 07:15 -0500
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 21:59 +0000
Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-18 07:36 -0500
Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-18 11:49 -0500
Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-18 10:03 -0800
Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-18 21:04 +0000
Re: Question about unbounded infinite sets... Erdélyi Szőke Komáromi <oikr@idrdls.hu> - 2024-02-16 21:44 +0000
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 15:07 -0800
Re: Question about unbounded infinite sets... x <x@x.org> - 2024-02-17 06:33 -0800
Re: Question about unbounded infinite sets... Burton Rabota Baidjanoff <nau@ninrbfbb.ru> - 2024-02-17 16:29 +0000
Re: Question about unbounded infinite sets... Trolidous <trolidous@go.com> - 2024-02-17 13:54 -0800
Re: Question about unbounded infinite sets... Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2024-02-16 21:45 +0000
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 15:12 -0800
Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-16 17:33 -0500
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 15:16 -0800
Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-17 06:33 -0500
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-20 11:59 -0800
Re: Question about unbounded infinite sets... "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2024-02-16 20:06 -0800
Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-17 14:29 -0800
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