然而，那些学习了音乐的数学家们更善于用审慎的眼光来看待他们的学科，看看其中会不会有什么遗漏或者缺陷的地方可以改进。

Mathematicians who learn music, though, are more likely to cast an ironic eye upon their craft, and look for flaws and opportunity in its cracks and crannies.

youdao

同时一个“审慎的眼光”可以是完全支持，也可能是完全反对。

And a "firm view" could be firmly in favour or firmly opposed.

youdao