From mboxrd@z Thu Jan 1 00:00:00 1970 X-Spam-Checker-Version: SpamAssassin 3.4.4 (2020-01-24) on polar.synack.me X-Spam-Level: X-Spam-Status: No, score=-1.9 required=5.0 tests=BAYES_00,FREEMAIL_FROM autolearn=unavailable autolearn_force=no version=3.4.4 X-Received: by 2002:a37:38e:: with SMTP id 136mr1903225qkd.247.1588308668522; Thu, 30 Apr 2020 21:51:08 -0700 (PDT) X-Received: by 2002:a4a:b489:: with SMTP id b9mr2278672ooo.71.1588308668249; Thu, 30 Apr 2020 21:51:08 -0700 (PDT) Path: eternal-september.org!reader01.eternal-september.org!feeder.eternal-september.org!news.gegeweb.eu!gegeweb.org!usenet-fr.net!proxad.net!feeder1-2.proxad.net!209.85.160.216.MISMATCH!news-out.google.com!nntp.google.com!postnews.google.com!google-groups.googlegroups.com!not-for-mail Newsgroups: comp.lang.ada Date: Thu, 30 Apr 2020 21:51:07 -0700 (PDT) Complaints-To: groups-abuse@google.com Injection-Info: google-groups.googlegroups.com; posting-host=212.251.152.55; posting-account=bPTmZAoAAAC_6HP9XLKB9aAAxBa6BuOR NNTP-Posting-Host: 212.251.152.55 User-Agent: G2/1.0 MIME-Version: 1.0 Message-ID: <9f0215ca-2760-47cf-a7cb-50184892e1d0@googlegroups.com> Subject: What is the history behind Natural'First = 0 ? From: reinert Injection-Date: Fri, 01 May 2020 04:51:08 +0000 Content-Type: text/plain; charset="UTF-8" Content-Transfer-Encoding: quoted-printable Xref: reader01.eternal-september.org comp.lang.ada:58535 Date: 2020-04-30T21:51:07-07:00 List-Id: I have been wondering about this for years: Why Natural'First =3D 0 ? There is no consensus about including 0 among the natural numbers. Since there is a Positive (Positive'First =3D 1), one may expect Natural'Fi= rst =3D 0 Except for this, I find little intuition in "Natural'First =3D 0". Copy form: https://en.wikipedia.org/wiki/Natural_number#History Some definitions, including the standard ISO 80000-2,[1][2] begin the natur= al numbers with 0, corresponding to the non-negative integers 0, 1, 2, 3, = =E2=80=A6, whereas others start with 1, corresponding to the positive integ= ers 1, 2, 3, =E2=80=A6,[3][4] while others acknowledge both definitions.[5]= Texts that exclude zero from the natural numbers sometimes refer to the na= tural numbers together with zero as the whole numbers, but in other writing= s, that term is used instead for the integers (including negative integers)= .[6] Is the key point here: "the standard ISO 80000-2" ? reinert