If the mathematical ideas are out there, waiting to be found, then somehow a purely abstract notion has to have existence even when no human being has ever conceived of it.

如果数学思想在某处等待着被发现，那么即使人类从未构想，一个纯粹抽象的概念也必须存在。

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Abstract legal concepts, standard, ambiguity is the fundamental reason for its existence.

法律概念的抽象性、规范性、模糊性是其存在的根本原因。

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Beauty is not abstract or empty, it can not get away from the structure and sport of the material, can not get away from the existence of the main body and the object.

美不是抽象的、空洞的，它离不开物质的结构与运动，离不开主体与客体的存在。

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Or you could use the "is there" question to ask about the existence of something more abstract

另外，你也可以使用“Is there”问句来询问更为一些抽象的事情是否存在。

Is there 课堂 - SpeakingMax英语口语达人

And this was so short a time ago, for the woman lawyer in the abstract has not yet attained her majority, that the novelty of her very existence has scarcely begun to wear off, and the newspapers publish and republish little floating items about women lawyers along with those of the latest sea-serpent .

FORBES: Women's Suffrage: a "Costly and Dangerous Experiment"?