Question

在美国数学中自然数包括零么

在美国数学中自然数包括零么?
我在我的数学书本上natural numbers 不包括0.
但是我在中国学习的时候自然数又好像包括0.
现在不在意那考试的时候怎么办?

Answer 1

Several set-theoretical definitions of natural numbers were developed in the 19th century. With these definitions it was convenient to include 0 (corresponding to the empty set) as a natural number. Including 0 is now the common convention among set theorists, logicians, and computer scientists. Many other mathematicians also include 0, although some have kept the older tradition and take 1 to be the first natural number[4]. Sometimes the set of natural numbers with 0 included is called the set of whole numbers or counting numbers.
就是说大部分数学家把0当自然数，仍有很多不这样不把0当自然数，不必很在意的。

Answer 2

自然数是从1开始的，不包括零，零是整数范围的。零是一个非常奇特的数。

自然数集合为N，也叫正整数。

楼上说改了，那么是什么情况？

Answer 3

这是在04年的时候中国改的，其实无关紧要。数字只是一种工具，给数字分类本来就是为了方便，搞复杂就不好了

Answer 4

自然数不包括零，整数包括零