At the bottom of the ladder we have only ignorance, and at the top we have knowledge.

在阶梯的最底层，我们是无知的。当我们到达顶端时，我们就拥有了知识。

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One discovers his ignorance only through learning.

学然后知不足。

《新英汉大辞典》

But ignorance only partly explains the jumpiness.

但是愚昧只能部分解释这种易变。

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In the end, feigning ignorance only helps perpetuate a misperception.

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Information and knowledge are the only antidotes to that ignorance.

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So I looked it up and both facts are right, which is a sign not only of my own ignorance but also of the importance of Germany to the European economy.

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