explore matters and dig into principles, accumulate knowledege and live up to your sense.
参考笃行意思，个人觉得这里有知行合一的意思，内心是明白的，行为应该按照自己内在的理智而进行而不是自己的内心想法。
楼主觉得如何？

中文很高深的文字，英语怎么都翻不出那种感觉，只能浅显易懂。格物穷理其实就是表达一个意思吧，穷究事物的道理、原委，make a through inquiry about things. 博学即知识渊博，have a wide range of knowledge. 笃行表达知行合一，理论跟实践相结合，take appropriate action in accordance with ones knowledge.     只能直译了 我的能力

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To question and explore, to learn and take action

Exploration of natural theorems, motivation with broadened horizon.