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Re: Theorem: There are at least ∞^4 integers in 2 dimensions.

From David Brown <david.brown@hesbynett.no>
Newsgroups comp.programming
Subject Re: Theorem: There are at least ∞^4 integers in 2 dimensions.
Date 2020-11-18 21:46 +0100
Organization A noiseless patient Spider
Message-ID <rp417s$h48$1@dont-email.me> (permalink)
References (1 earlier) <rp0i4m$4hq$1@dont-email.me> <rp1fpb$8k7$1@dont-email.me> <rp35b2$ntb$1@dont-email.me> <rp3b05$3r7$1@dont-email.me> <rp3ncs$114$1@gioia.aioe.org>

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On 18/11/2020 18:58, Peter wrote:
> David Brown wrote:
>> [...]
>> precise.  And that means dumping ∞, because that symbol is used to mean
>> various things (such as increasing integers or reals without a limit, or
>> when defining limits, or to mean "infinity" without saying /which/
>> infinity).  
> 
> I must protest.  Expressions such as "lim_{x -> infty} f(x)", when
> replaced by their definitions, make no reference to infinity.
> 

Indeed.  But you still typically use the symbol ∞ when writing them.

> As for the number of lines and what-have-you in various geometric
> figures, I would refer interested parties to
> 
>     Hilbert & Cohn-Vossen /Geometry and the imagination/
> 
> first.  Hilbert's 15-th problem sought a rigorous account of the topics
> described there, and those interested parties (are there any?) may like
> to pursue the Schubert calculus.
> 

I'm afraid I have no idea what Shubert calculus is - I guess a trip to
Wikipedia or Wolfram Alpha is in order...  (And while I am aware of
Hilbert's list of problems, and know of a few, I don't have the full
list in my head - and I know that for several of them I can't begin to
comprehend the question, never mind the answer.)

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Thread

Theorem: There are at least ∞^4 integers in 2 dimensions. K R <ownerofachattingportal@gmail.com> - 2020-11-16 22:09 -0800
  Re: Theorem: There are at least ∞^4 integers in 2 dimensions. Richard Heathfield <rjh@cpax.org.uk> - 2020-11-17 13:10 +0000
    Re: Theorem: There are at least ∞^4 integers in 2 dimensions. Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-11-17 17:25 +0000
      Re: Theorem: There are at least ∞^4 integers in 2 dimensions. Richard Heathfield <rjh@cpax.org.uk> - 2020-11-18 12:41 +0000
        Re: Theorem: There are at least ∞^4 integers in 2 dimensions. David Brown <david.brown@hesbynett.no> - 2020-11-18 14:58 +0100
          Re: Theorem: There are at least ∞^4 integers in 2 dimensions. Khritjan Robam <hrrobam@gmail.com> - 2020-11-18 06:01 -0800
          Re: Theorem: There are at least ∞^4 integers in 2 dimensions. Richard Heathfield <rjh@cpax.org.uk> - 2020-11-18 14:42 +0000
            Re: Theorem: There are at least ∞^4 integers in 2 dimensions. David Brown <david.brown@hesbynett.no> - 2020-11-18 16:43 +0100
              Re: Theorem: There are at least ∞^4 integers in 2 dimensions. Richard Heathfield <rjh@cpax.org.uk> - 2020-11-18 18:59 +0000
                Re: Theorem: There are at least ∞^4 integers in 2 dimensions. David Brown <david.brown@hesbynett.no> - 2020-11-18 21:39 +0100
    Re: Theorem: There are at least ∞^4 integers in 2 dimensions. David Brown <david.brown@hesbynett.no> - 2020-11-17 22:36 +0100
      Re: Theorem: There are at least ∞^4 integers in 2 dimensions. Richard Heathfield <rjh@cpax.org.uk> - 2020-11-18 12:50 +0000
        Re: Theorem: There are at least ∞^4 integers in 2 dimensions. David Brown <david.brown@hesbynett.no> - 2020-11-18 15:27 +0100
          Re: Theorem: There are at least ∞^4 integers in 2 dimensions. Richard Heathfield <rjh@cpax.org.uk> - 2020-11-18 14:50 +0000
          Re: Theorem: There are at least ∞^4 integers in 2 dimensions. Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-11-18 15:44 +0000
            Re: Theorem: There are at least ∞^4 integers in 2 dimensions. David Brown <david.brown@hesbynett.no> - 2020-11-18 18:09 +0100
              Re: Theorem: There are at least ∞^4 integers in 2 dimensions. Peter <peterxpercival@hotmail.com> - 2020-11-18 18:00 +0000
                Re: Theorem: There are at least ∞^4 integers in 2 dimensions. David Brown <david.brown@hesbynett.no> - 2020-11-18 21:42 +0100
          Re: Theorem: There are at least ∞^4 integers in 2 dimensions. Peter <peterxpercival@hotmail.com> - 2020-11-18 17:58 +0000
            Re: Theorem: There are at least ∞^4 integers in 2 dimensions. David Brown <david.brown@hesbynett.no> - 2020-11-18 21:46 +0100
    Re: Theorem: There are at least ∞^4 integers in 2 dimensions. Melzzzzz <Melzzzzz@zzzzz.com> - 2020-11-19 03:49 +0000
      Re: Theorem: There are at least ∞^4 integers in 2 dimensions. Khrictian Robam <hrrobam@gmail.com> - 2020-11-19 01:12 -0800

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