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 autolearn=ham autolearn_force=no version=3.4.4 X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 103376,86d333341f490421 X-Google-Attributes: gid103376,public X-Google-ArrivalTime: 2002-03-28 08:42:23 PST Path: archiver1.google.com!news1.google.com!newsfeed.stanford.edu!logbridge.uoregon.edu!news.tele.dk!small.news.tele.dk!193.162.153.118!news.tele.dk!not-for-mail Message-ID: <3CA347EC.5000902@oek.dk> Date: Thu, 28 Mar 2002 17:42:20 +0100 From: "Peter I. Hansen" User-Agent: Mozilla/5.0 (X11; U; FreeBSD i386; en-US; rv:0.9.9) Gecko/20020320 X-Accept-Language: en-us, en MIME-Version: 1.0 Newsgroups: comp.lang.ada Subject: Re: Natural data type ? References: <3CA12AD4.2030807@oek.dk> Content-Type: text/plain; charset=us-ascii; format=flowed Content-Transfer-Encoding: 7bit Organization: TDC Internet NNTP-Posting-Host: 195.215.62.2 X-Trace: 1017333742 dread01.news.tele.dk 72016 195.215.62.2 X-Complaints-To: abuse@post.tele.dk Xref: archiver1.google.com comp.lang.ada:21768 Date: 2002-03-28T17:42:20+01:00 List-Id: Georg Bauhaus wrote: >Peter I. Hansen wrote: >: We learn in mathematics that the natural numbers are positive integers >: not including zero..., So to me the 'Natural' way of defining these > >Natural, the way it is defined, allows me to very naturally >answer the question, 'How many?' > >- Georg > No, this is a misunderstanding. The natural numbers are defined to be the numbers you can count to. You can count to 1, you can count to 2, you can count to 3, ... and so forth. You cannot count to Zero. The question 'How many?' is the reason for defining other numbers than natural. 'Q: How many apples did you eat ? A: 2 and a half (=2.5 a rational number)'. /Peter