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Re: Infinitesimals

From root <NoEMail@home.org>
Newsgroups comp.programming
Subject Re: Infinitesimals
Date 2024-02-19 16:41 +0000
Organization Linux Advocacy
Message-ID <ur00bp$1vb31$1@dont-email.me> (permalink)
References <7e8f0f6c-9688-4d24-b1ed-409f3d5ca841n@googlegroups.com>

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Paul N <gw7rib@aol.com> wrote:
> Hi all
>
> Recently there was a discussion in comp.theory about infinitesimals. It seems
I can't post to that group but can post to this one, so hopefully people will
not mind too much and some kind person might even post a link there to my post
here? > > I wanted to point out that Ian Stewart had written an article called
"Beyond the vanishing point" in which he discusses the strange situation in
which doing calculus by using very small numbers and then treating these numbers
as zero after you've divided through by them is not valid but nevertheless seems
to work. Here is some of the article as a taster:
>

I respect Ian Stewart because of his books, but here is being an alarmist.

Continuous functions are defined as those for which the infinitesmal analysis
works. Calculus applies to such functions.

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Thread

Infinitesimals Paul N <gw7rib@aol.com> - 2024-02-19 05:51 -0800
  Re: Infinitesimals root <NoEMail@home.org> - 2024-02-19 16:41 +0000
    Re: Infinitesimals Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-07 10:12 -0800
  Re: Infinitesimals Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-07 10:04 -0800

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