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Russ Andersson's avatar

This definitional change doesn't solve the fundamental issue that its is the absolute difference and not the ratio that needs to be used as the central element before multiplication ... of this I am highly confident ( :)) and now that I have bought this to your attention, I am sure you know that you can model this out with dice and cards etc to prove it for yourself.

But the big picture here is you deserve considerable credit for putting together a really interesting question and model so lets not get too hung up on mathematical minutiae, the big point I wanted to make was the value of info literature had addressed a fair amount of this and you are aware of that so we are all good.

With that minor caveat out of the way, I think you are asking some very probing questions here ... why do we have limited regard for the value of information anywhere in society? Why are we a society that doesn't really invest in information at all ... basically why are we so foolish?

my high level response is that we get what we deserve and that as humans our lack of real respect and acceptance of the truth/reality causes us to harm ourselves in very material ways. News being merely one of them. If we were more sincere about finding and acting on the truth/reality then we would probably be more happy and well adjusted beings.

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Robin Hanson's avatar

When giving formulas, I had in mind applying them where the news was that a claim had *risen* in probability. Once can of course represent them with the complement event whose probability has lowered, but that is a lot less natural.

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