The advancement of mathematics is due to those who are driven not by the desire for application but by the joy of discovery.

历史学家必须公正，但不能冷漠。

Science is a collaborative effort. No one makes discoveries alone.

Problem-solving often requires restructuring one's mental representation of the situation.

卒：同“猝”，指突然事变。这两句大意是：心中没有预先考虑应对事变的方法，就不能应付突然变故。