本文论述了数学抽象的特点，探讨了如何培养数学抽象能力的问题。

This paper discusses the characteristics of mathematical abstraction, and considers how to train the ability of mathematical abstraction in mathematics teaching.

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韩礼德经研究发现儿童语言的告知功能是在两岁以后出现的，它标志着抽象能力的形成，域重合开始出现。

Halliday discovered that children's language informing function occur at the age of two, symbolizing the formation of their abstraction ability, that means the occurrence of domain conflation.

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由于我们能将对象看成是实体在计算机中的表示，因此面向对象的方法可让我们将注意力集中在这些实体上并构造那些具有相同抽象能力的计算实体。

Because we can regard objects as entities' representation for computer, we can pay our attention to these entities and construct some computable entities that are as abstract as these entities.

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You could make a long list but it might include things Like the capacity for language and higher thought or abstract thought, conscience, self-control, free-will.

你也许能列出一个长单子，它可能包括以下东西,比如语言能力，高级或抽象思维能力，良心，自控力和自由意志。

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And then finally, at around age twelve, you could get abstract and scientific reasoning.

最后,大约在十二岁的时候,儿童的抽象推理和科学推理能力得以完善

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So the question then comes is given that, do you have the courage to examine who you are, do you have the courage to try to cultivate the capacity to love, not just with them in the abstract, but other human beings, not just your family, but what I call "spill-over love".

因此，问题就是，你有没有勇气去审视你到底是谁？,你有没有勇气去培养自己去爱的能力，不仅仅是抽象的爱，不仅仅是爱家人，而是爱其他所有人，这就是我所说的“满溢的爱”

普林斯顿公开课 - 人性课程节选