その一
While there are good reasons to believe that the approximate equations should, in many circumstances, give answers close to those given by the true equations, approximations — like translations — always miss something.
その二・この一文のさまになる訳を教えてください。
Understanding requires context; insight must be anchored.
以下の文脈です。
Everyone knew that things could move, but what about the arena within which the motion took place? Well, that's space, we'd all answer. But, Newton would reply, what is space? Is space a real physical entity or is it an abstract idea born of the human struggle to comprehend the cosmos? Newton realized that this key question had to be answered, because without taking a stand on the meaning of space and time, his equations describing motion would prove meaningless. Understanding requires context; insight must be anchored.
お礼
回答ありがとうございます。特に2の回答で視野がひろがった気がします。