There aren't enough interesting sequences of 40 coinflips to ever see one.
Every sequence of 40 coin flips is interesting. Proof: Make a 1 to 1 relation on the sequence of 40 coin flips and a subset of the natural numbers, by making H=1 and T=0 and reading the sequence as a binary representation. Proceed by showing that every natural number is interesting.
I think the blog post was basically speaking in favor of the charity principle.
That's a really insightful comment!
But I should correct you, that you are only talking about the Spanish conquest, not the Portuguese, since 1) Mesoamerica was not conquered by the Portuguese; 2) Portuguese possessions in America (AKA Brazil) had very little gold and silver, which was only discovered much later, when it was already in Portuguese domain.
Lets abstract about this:
There are 2 unfair coins. One has P(heads)=1/3 and the other P(heads)=2/3. I take one of them, flip twice and it turns heads twice. Now I believe that the coin chosen was the one with P(heads)=2/3. In fact there are 4/5 likelihood of being so. I also believe that flipping again will turn heads again, mostly because I think that I choose the 2/3 heads coin (p=8/15). I also admit the possibility of getting heads but being wrong about the chosen coin, but this is much less likely (p=1/15). So I bet on heads. So I flip it again and it ... (read more)
I think the only problem with the article is that it tries to otheroptimize. It seems to address a problem that the author had, as some people do. He seems to overestimate the usefulness of his advices though (he writes for anyone except if "your career is going great, you're thrilled with your life and you're happy with your relationships"). As mentioned by NancyLebovitz, the article is not for the clinical depressed, in fact it is only for a small (?) set of people who sits around all day whining, who thinks they deserve better for who they are... (read more)
I think I have heard of such studies, but the conclusion is different.
Who the parents are matter more than things like which school do the kids go, or in which neighborhood they live, etc.
But in my view, that's only because being something (let's say, a sportsman), will makes you do things that influence your kids to pursue a similar path
"Bias" has a strict definition. Not all errors are biases. One can clearly be wrong and rational, for example, by not gathering enough information (laziness, or lack of time...).
I know that. People are so lame. Not me though. I am one of the genius ones.