I agree this is an excellent post.
In fact, I just created an account and came out of lurking just to vote it up.
Yes, the example came out a little forced and unnecessarily convoluted, but the point made is extremely important.
To those who clamp down on the post on grounds of lack of formal rigour are missing the point entirely. You are so preoccupied with formulating your rationality in mathematically pleasing ways, applying it to matrix-magic and Knuth-arrow-quasi-infinity situations, that you are in danger of missing the real-life applications where just a modest bit of rationality will result in a substantial gain to yourself or to society.
I agree this is an excellent post. In fact, I just created an account and came out of lurking just to vote it up. Yes, the example came out a little forced and unnecessarily convoluted, but the point made is extremely important. To those who clamp down on the post on grounds of lack of formal rigour are missing the point entirely. You are so preoccupied with formulating your rationality in mathematically pleasing ways, applying it to matrix-magic and Knuth-arrow-quasi-infinity situations, that you are in danger of missing the real-life applications where just a modest bit of rationality will result in a substantial gain to yourself or to society.