独立认真思考英文怎么说

独立认真思考英文可以表达为 "think independently and critically"，这是一个常见的英文短语，用来描述一个人自主地思考问题，并且能够从多个角度进行批判性思考。

这个短语的来源可以追溯到拉丁文，"independent" 来自拉丁文的 "independens"，意思是 "不受影响的"，"critical" 来自拉丁文的 "criticus"，意思是 "批判性的"。

下面是一些例句：

It's important to think independently and critically when evaluating information, so you can make informed decisions. (在评估信息时独立认真思考很重要，这样才能做出明智的决策。)
The teacher encouraged her students to think independently and critically, rather than just accepting what they were told. (老师鼓励学生独立认真思考，而不是被告诉什么就原封不动地接受。)
In order to be a successful learner, you need to be able to think independently and critically. (要成为一名成功的学习者，你需要能够独立认真思考。)