Echo. Understanding something abstract or proving that something is true becomes a task a lot like building something. You think: "First I will lay this foundation, then I will build this framework using these familiar pieces, but leave the walls to fill in later, then I will test the beams..." All these steps have mathematical analogues, and structuring things in a modular way allows you to spend several days thinking about something you do not understand without feeling lost or frustrated.
- 虾仁
But after years of working in a commercial company, the truth is that in real world modular way of thinking does not apply to anyone, your boss your manager, anyone that doesn't want to spend more than 2mins thinking on anything. Glorious old days are gone.
- 虾仁
“the biggest misconception that non-mathematicians have about how mathematicians work is that there is some mysterious mental faculty that is used to crack a research problem all at once.” 这让我想起前些天我跟小明的关于较真就无趣的争论——其实数学爱好者们可能从另一个反面以为他们拥有并且迷恋mysterious mental faculty。
- viav