483. What’s Wrong With Shortcuts?

483.快捷方式有什么问题?

Freakonomics Radio

社会与文化

2021-11-18

43 分钟
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You know the saying: “There are no shortcuts in life.” What if that saying is just wrong? In his new book "Thinking Better: The Art of the Shortcut in Math and Life," the mathematician Marcus du Sautoy argues that shortcuts can be applied to practically anything: music, psychotherapy, even politics. Our latest installment of the Freakonomics Radio Book Club.
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  • This is a little fairy tale that we all get told as mathematicians.

  • Thats Marcus de Sotoy, who is a mathematician at Oxford University in England.

  • As for this fairy tale, I dont.

  • Know whether its true or not, but who cares?

  • The story takes us back to Germany in the late 18th century and a schoolboy named Karl Friedrich Gauss.

  • The young Gauss, sitting eight, nine years old in his class, the teacher wants to get a little bit of rest, decides to set them a problem.

  • It will take them ages to actually do.

  • Young Carl Friedrich Gauss would become one of the most remarkable mathematicians in history.

  • There are more than 100 theorems, formulas, models, and other math terms named after him.

  • But that was later.

  • At the time of our story, he's just a very bright young student.

  • And the teacher gives the class this problem to solve.

  • As de Sotoi said, it's not a particularly interesting problem.

  • The teacher says, you've got to add.

  • Up the numbers from one to 100.

  • And most of the class set off and they go, one plus two, three plus three, six.

  • Go ahead, try it for yourself.

  • Add up the numbers from one to 100.

  • I'll give you a minute.

  • Are you done?