What is ×?
What is ×?
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×是什么？
DOI：
10.2307/3610181
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发表时间：
1959
影响因子：
0.3
通讯作者：
H. Cundy
中科院分区：
文献类型：
--
作者：
H. Cundy
你会说3+3+3+3是4x3还是3x4†我问过的大多数同事和男孩都是前者。对他们来说，4x3意味着“四个三”或“四乘三”，这显然不是“四乘以三”的意思。显然，“四乘三”等同于“三乘四”；(我的意思不是说它们相等，我的意思是，这两种表达方式是说同一件事的两种方式)。如果我们用符号4x3来表示这个共同的含义，我们实际上是在做与我们在其他三个算术过程中所做的相反的事情。对大多数人来说，4+3的意思是“四加三”，也就是“四加三”；4-3的意思是“四减三”，所以4+3的意思是“四减三”。显然，4x3的意思一定是“取四乘以三”，即“取四乘三”或“取三个四”。
Would you indicate 3 + 3 + 3+3 as 4x3 or as 3x4† Most colleagues and boys that I have asked plump for the former. 4x3 means to them “four threes” or “four times three”, which is emphatically not the meaning “four multiplied by three”. Clearly “four times three” is the same as “three multiplied by four”; (I do not mean that they are equal, I mean that the expressions are two ways of saying the same thing). If we indicate this common meaning by the symbols 4x3, we are in fact doing the opposite of what we do in the case of the other three arithmetical processes. 4 + 3 means (to most people) “take four and add to it three”, or “four increased by three”; 4-3 means “take four and subtract three from it” , or “four diminished by three”; so 4 + 3 means “take four and divide it by three”. Obviously, then, 4x3 must mean “take four, and multiply it by three”; i.e. “four taken three times” or three fours.