我们无法了解导致我们产生数字概念的事件的发生顺序。

It is impossible to learn the sequence of events that led to our developing the concept of number.

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儿童掌握数字词汇的概念需要付出很大的努力。

It takes great efforts for children to grasp the concept of number words.

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然而，当早期的人类第一次开始反思周围事物的本质，他们发现只是为了让思维保持有序也需要有数字的概念。

However, when early humans first began to reflect on the nature of things around them, they discovered that they needed an idea of number simply to keep their thoughts in order.

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If a person has the basic concept down, regardless of numerical errors, if the person has the basic concept down, he or she must get at least five out of ten.

如果一个人有一些基本的概念，不管一些数字上的错误，如果他有基本的概念，至少都能够得到一半的分。

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So that's how you get a sense of these numbers.

这样你对这些数字就有个概念

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But Ian Hacking, being a good historian, thought that someone must have had some concept of probability going before even if they didn't quote it as a number the way-- it must have been in their head or in their idea.

但是这位优秀的历史学家伊恩·哈金认为,一定有人在更早时候就用过概率这个概念,即便他们没有用数字来表述,但他们一定有过类似的想法

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