We may say: 'Derivative knowledge is what is validly deduced from premisses known intuitively'.

我们可以说：“派生知识是从直觉已知的前提中有效地推导出来的知识” 。

Our derivative knowledge always depends upon some pure a priori knowledge and usually also depends upon some pure empirical knowledge.

我们的衍生知识总是依赖于一些纯粹的先验知识，通常也依赖于一些纯粹的经验知识。

Our derivative knowledge of things, which we call knowledge by description, always involves both acquaintance with something and knowledge of truths.

我们对事物的衍生知识， 我们称之为描述知识， 总是既涉及对某事的了解， 又涉及对真理的了解。

Our derivative knowledge of truths consists of everything that we can deduce from self-evident truths by the use of self-evident principles of deduction.

我们对真理的衍生知识包括我们可以通过使用不言而喻的演绎原则从不言而喻的真理中推断出的一切。

We shall, then, admit such psychological inference as a means of obtaining derivative knowledge, provided there is a discoverable logical inference which runs parallel to the psychological inference.

那么，我们将承认这种心理推理是获得衍生知识的一种手段，前提是存在与心理推理平行的可发现的逻辑推理。

In derivative knowledge our ultimate premisses must have some degree of self-evidence, and so must their connexion with the conclusions deduced from them. Take for example a piece of reasoning in geometry.

在派生知识中，我们的最终前提必须具有某种程度的自明性，它们与从中推导出的结论的联系也必须如此。以一段几何推理为例。

Leaving on one side, for the moment, the question of intuitive knowledge, let us consider the above suggested definition of derivative knowledge. The chief objection to it is that it unduly limits knowledge.

暂时撇开直觉知识的问题，让我们考虑上面建议的衍生知识定义。反对它的主要理由是它不适当地限制了知识。

This renders our definition of derivative knowledge less precise than we could wish, since the word 'discoverable' is vague: it does not tell us how much reflection may be needed in order to make the discovery.

这使得我们对衍生知识的定义不如我们希望的那么精确，因为“可发现”这个词含糊不清：它没有告诉我们可能需要多少反思才能做出发现。

We must, therefore, admit as derivative knowledge whatever is the result of intuitive knowledge even if by mere association, provided there is a valid logical connexion, and the person in question could become aware of this connexion by reflection.

因此，我们必须承认直觉知识的任何结果都是派生知识，即使只是通过联想，只要存在有效的逻辑联系，并且相关人员可以通过反思意识到这种联系。