Is it really zero
Is it really zero
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真的是零吗
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
C. Yap
中科院分区：
文献类型：
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作者：
C. Yap
在这本杂志的前一期（KIAS通讯第32期，2006年夏季）中，安德烈亚斯·本德博士问2 + 2 = 5吗？现在我想问一个显然更简单的问题：一个数真的等于零吗？它更简单，不仅因为零似乎比其他数字更简单，而且因为我们的问题只需要在“是”或“否”的答案之间做出决定。这些问题被称为决策问题。我们需要解释为什么这个问题需要任何努力来回答。首先，数字有规范名称，如零，一，二，二分之一，负十，二的平方根，π等，在符号中，规范名称被写为0，1，2，12，−10，π 2，π等，当然，当我们面对一个规范名称时，我们立即识别它是否为零。因此，当我们需要识别的数字由以下表达式给出时，问题就出现了：
In the previous issue of this magazine (KIAS Newsletter No.32, Summer 2006), Dr. Andreas Bender asked if 2 + 2 = 5? Now I want to ask the apparently simpler question: is a number really equal to zero? It is simpler, not only because zero seems to be simpler than the other numbers, but because our question only requires deciding between a “yes” or “no” answer. Such problems are called decision problems. We need to explain why this question requires any effort to answer. First of all, numbers have canonical names such as zero, one, two, half, negative ten, square root of two, pi, etc. In symbols, the canonical names are written as 0, 1, 2, 12 ,−10, √ 2, π, etc. Of course, when we are faced with a canonical name, we instantly recognize whether it is zero or not. So the problem arises when the number that we need to recognize is given by an expression such as