Re: A simple argument. Acceptable?

From	FromTheRafters <FTR@nomail.afraid.org>
Newsgroups	sci.math
Subject	Re: A simple argument. Acceptable?
Date	2023-06-27 11:30 -0400
Organization	Peripheral Visions
Message-ID	<u7evb2$1e811$1@dont-email.me> (permalink)
References	<d2947a85-f7a2-42af-8c2e-713edc22f196n@googlegroups.com> <159272f7-cb81-4320-a534-9f81e4bc3c68n@googlegroups.com> <bdafcd85-a9c6-4b5f-a6de-ae936a1f73efn@googlegroups.com> <75f5a993-4879-458a-9575-3e9d0415f7c4n@googlegroups.com>

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Fritz Feldhase formulated on Tuesday :
> On Monday, June 26, 2023 at 9:52:07 PM UTC+2, WM wrote:
>
>> Thank you.
>
> 3 questions, 3 answers:
>
>
> (1) Question: "An endsegement is defined as E(n) = {n, n+1, n+2, n+3, ...}. 
> Is it true that the intersection of all these endsegments is the empty set."
>
> ChatGTP: "Yes, you are correct. The intersection of all the endsegments 
> defined as E(n) = {n, n+1, n+2, n+3, ...} is indeed the empty set.
>
> If we consider [all] of these endsegments, we can see that they have no 
> common elements. Each endsegment starts at a different number, and as we move 
> along the sequence, the numbers only increase. Therefore, there is no number 
> that belongs to all of the endsegments simultaneously.
>
> Since the intersection of sets refers to the elements that are common to all 
> sets being considered, and in this case, there are no common elements, the 
> intersection is empty."
>
> ChatGPT is completely right here!
>
>
> (2) Question: "An endsegement is defined as E(n) = {n, n+1, n+2, n+3, ...}. 
> Is it true that the intersection of all infinite endsegments is the empty 
> set."
>
> ChatGTP: "Yes, it is true that the intersection of all infinite endsegments 
> defined as E(n) = {n, n+1, n+2, n+3, ...} is the empty set."
>
> If we consider [all] infinite endsegments, they will have no common elements. 
> Each endsegment starts at a different number, and as we move along the 
> sequence, the numbers only increase. Thus, there is no number that belongs to 
> all of the endsegments simultaneously.
>
> Since the intersection of sets refers to the elements that are common to all 
> sets being considered, and in this case, there are no common elements, the 
> intersection is empty."
>
> Once more ChatGPT is completely right here! (Actually, the answer agrees with 
> the answer to question 1., since all endsegments are infinite. Siee question 
> 3.)
>
>
> (3) Question: "An endsegement is defined as E(n) = {n, n+1, n+2, n+3, ...}. 
> Is it true that all endsegments are infinite "
>
> ChatGTP: "Yes, all endsegments defined as E(n) = {n, n+1, n+2, n+3, ...} are 
> indeed infinite.
>
> By definition, an endsegment extends infinitely in one direction. In this 
> case, each endsegment starts at the number n and continues indefinitely, 
> incrementing by 1 with each subsequent element. Therefore, the set of 
> elements in each endsegment is infinite.
>
> For example, if we take E(1), it would be {1, 2, 3, ...}, which represents 
> the set of all positive integers, extending infinitely in the positive 
> direction. Similarly, E(2) would be {2, 3, 4, ...}, E(3) would be {3, 4, 5, 
> ...}, and so on. In each case, the endsegment continues infinitely without 
> [an] endpoint."
>
> Again, ChatGPT is completely right here!
>
>
> You are welcome!

I would rather believe you, than it.

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A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-23 04:41 -0700
  Re: A simple argument. Acceptable? Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-23 05:09 -0700
  Re: A simple argument. Acceptable? Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-23 05:12 -0700
    Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-23 09:58 -0700
  Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-23 07:10 -0700
  Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-23 07:12 -0700
    Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-23 07:25 -0700
    Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-23 09:56 -0700
    Re: A simple argument. Acceptable? Eram semper recta <thenewcalculus@gmail.com> - 2023-06-24 05:31 -0700
  Re: A simple argument. Acceptable? Jim Burns <james.g.burns@att.net> - 2023-06-23 11:54 -0400
    Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-23 09:59 -0700
      Re: A simple argument. Acceptable? Jim Burns <james.g.burns@att.net> - 2023-06-23 15:48 -0400
        Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-24 06:04 -0700
    Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-23 10:11 -0700
    Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-24 05:59 -0700
      Re: A simple argument. Acceptable? FromTheRafters <FTR@nomail.afraid.org> - 2023-06-24 10:07 -0400
      Re: A simple argument. Acceptable? Jim Burns <james.g.burns@att.net> - 2023-06-24 12:04 -0400
        Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-24 10:43 -0700
          Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-24 10:50 -0700
            Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-25 08:55 -0700
              Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-25 09:38 -0700
          Re: A simple argument. Acceptable? Jim Burns <james.g.burns@att.net> - 2023-06-25 10:16 -0400
            Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-25 09:04 -0700
              Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-25 09:51 -0700
        Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-25 08:59 -0700
          Re: A simple argument. Acceptable? Jim Burns <james.g.burns@att.net> - 2023-06-25 16:19 -0400
            Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-26 12:42 -0700
              Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 12:49 -0700
              Re: A simple argument. Acceptable? FromTheRafters <FTR@nomail.afraid.org> - 2023-06-26 16:10 -0400
              Re: A simple argument. Acceptable? Jim Burns <james.g.burns@att.net> - 2023-06-26 17:02 -0400
      Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-24 10:22 -0700
        Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-25 09:01 -0700
          Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-25 09:42 -0700
            Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-26 12:35 -0700
              Re: A simple argument. Acceptable? FromTheRafters <FTR@nomail.afraid.org> - 2023-06-26 16:15 -0400
          Re: A simple argument. Acceptable? Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-25 13:24 -0700
            Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-26 12:43 -0700
              Re: A simple argument. Acceptable? Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-26 18:57 -0700
                Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 19:08 -0700
                Re: A simple argument. Acceptable? Jim Burns <james.g.burns@att.net> - 2023-06-26 22:35 -0400
                Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-28 10:34 -0700
                Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-28 11:54 -0700
                Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-29 05:45 -0700
                Re: A simple argument. Acceptable? Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-28 12:47 -0700
                Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-29 05:45 -0700
                Re: A simple argument. Acceptable? Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-29 08:01 -0700
          Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-27 05:28 -0700
  Re: A simple argument. Acceptable? Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2023-06-23 11:51 -0700
    Re: A simple argument. Acceptable? Eram semper recta <thenewcalculus@gmail.com> - 2023-06-24 05:34 -0700
  Re: A simple argument. Acceptable? Eram semper recta <thenewcalculus@gmail.com> - 2023-06-24 05:29 -0700
    Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-24 06:08 -0700
      Re: A simple argument. Acceptable? FromTheRafters <FTR@nomail.afraid.org> - 2023-06-24 10:15 -0400
        Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-25 08:52 -0700
          Re: A simple argument. Acceptable? FromTheRafters <FTR@nomail.afraid.org> - 2023-06-25 12:06 -0400
            Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-25 09:56 -0700
              Re: A simple argument. Acceptable? FromTheRafters <FTR@nomail.afraid.org> - 2023-06-25 17:42 -0400
              Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-26 12:38 -0700
                Re: A simple argument. Acceptable? FromTheRafters <FTR@nomail.afraid.org> - 2023-06-26 16:17 -0400
            Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-26 12:26 -0700
              Re: A simple argument. Acceptable? FromTheRafters <FTR@nomail.afraid.org> - 2023-06-26 16:25 -0400
          Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-25 09:35 -0700
            Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-26 12:30 -0700
      Re: A simple argument. Acceptable? Eram semper recta <thenewcalculus@gmail.com> - 2023-06-25 16:23 -0700
        Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-26 12:48 -0700
  Re: A simple argument. Acceptable? Eram semper recta <thenewcalculus@gmail.com> - 2023-06-26 05:19 -0700
    Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 08:12 -0700
      Re: A simple argument. Acceptable? Eram semper recta <thenewcalculus@gmail.com> - 2023-06-26 08:42 -0700
        Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 08:57 -0700
          Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-26 13:01 -0700
            Re: A simple argument. Acceptable? FromTheRafters <FTR@nomail.afraid.org> - 2023-06-26 16:27 -0400
            Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-27 02:55 -0700
    Re: A simple argument. Acceptable? WM <askasker48@gmail.com> - 2023-06-26 12:52 -0700
      Re: A simple argument. Acceptable? Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-27 03:06 -0700
        Re: A simple argument. Acceptable? Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-27 04:20 -0700
        Re: A simple argument. Acceptable? FromTheRafters <FTR@nomail.afraid.org> - 2023-06-27 11:30 -0400

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