From: <tomas@tuxteam.de>
To: emacs-orgmode@gnu.org
Subject: Re: [more absurd]
Date: Mon, 4 Jul 2022 08:23:54 +0200 [thread overview]
Message-ID: <YsKHeqrnH7GxvZ8o@tuxteam.de> (raw)
In-Reply-To: <87zghpa2f0.fsf@mat.ucm.es>
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On Mon, Jul 04, 2022 at 07:10:27AM +0200, Uwe Brauer wrote:
[...]
> That really su... (My use case only concerned numbers from 0-10).
>
> So it boils down to the question: why isn't 0 considered as natural numbers, as, according to the Peano axioms, it is?
I don't know whether you're serious or making fun (Poe's Law and
all that), but actually, Peano's axioms couldn't care less: as
far as they are concerned, natural numbers could well start at
23 or something.
Actually it seems to be some kind of "cultural question" whether
mathematicians start counting at 0 or at 1; my observation is
that they tend to agree across one faculty at one university.
I know positively one that tends to count from 1 (HU Berlin),
another that counts from 0 (Freiburg), both in Germany.
Something for mathematical ethnologists (do those exist?) to mull
over.
I once asked a maths prof and he said foundational folks (set
theorists, math logicians -- that's the typical environment
where you'd tend to stumble upon Peano) tend to favour starting
at 0.
Historically, Peano himself seems to have been a one-counter:
"Peano's original formulation of the axioms used 1 instead
of 0 as the "first" natural number,[6] while the axioms in
Formulario mathematico include zero." as quoted in [1].
Cheers
[1] https://en.wikipedia.org/wiki/Peano_axioms
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t
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next prev parent reply other threads:[~2022-07-04 6:25 UTC|newest]
Thread overview: 17+ messages / expand[flat|nested] mbox.gz Atom feed top
2022-07-01 5:31 org-table-sort-lines (numerically) leaves 0 separated Uwe Brauer
2022-07-03 18:26 ` [more absurd] (was: org-table-sort-lines (numerically) leaves 0 separated) Uwe Brauer
2022-07-03 19:11 ` Bruno Barbier
2022-07-03 19:29 ` [more absurd] Uwe Brauer
2022-07-03 19:44 ` Bruno Barbier
2022-07-03 19:58 ` Uwe Brauer
2022-07-03 20:14 ` Bruno Barbier
2022-07-03 20:24 ` Uwe Brauer
2022-07-04 4:31 ` tomas
2022-07-04 5:10 ` Uwe Brauer
2022-07-04 6:23 ` tomas [this message]
2022-07-04 6:46 ` Martin Steffen
2022-07-04 7:42 ` Uwe Brauer
2022-07-04 12:16 ` tomas
2022-07-04 13:59 ` Uwe Brauer
2022-07-04 12:12 ` tomas
2022-07-04 13:18 ` Martin Steffen
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