gwern comments on Rationality Quotes June 2012 - Less Wrong

4 Post author: OpenThreadGuy 02 June 2012 05:14PM

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Comment author: pnrjulius 09 June 2012 01:18:54AM 1 point [-]

The standard proof of the Product Rule in calculus has this form. You add and subtract the same quantity, and then this allows you to regroup some things. But who would have thought to do that?

Comment author: gwern 09 June 2012 01:33:37AM 10 points [-]

One of the characteristics of successful scientists is having courage. Once you get your courage up and believe that you can do important problems, then you can. If you think you can't, almost surely you are not going to. Courage is one of the things that Shannon had supremely. You have only to think of his major theorem. He wants to create a method of coding, but he doesn't know what to do so he makes a random code. Then he is stuck. And then he asks the impossible question, ``What would the average random code do?'' He then proves that the average code is arbitrarily good, and that therefore there must be at least one good code. Who but a man of infinite courage could have dared to think those thoughts? That is the characteristic of great scientists; they have courage. They will go forward under incredible circumstances; they think and continue to think.

--Richard Hamming