This series is great. But, I'm having a little trouble understanding the fourth diagram, the one with the folded configuration space.
I sort of get it: the original configuration space distinguished between two particles, which is wrong, so in reality only half of the configuration space's area matters when it comes to information. But I don't get how that means you delete the probability from half of the space. Why is it wrong to make the space symmetrical across the diagonal line? It seems a little arbitrary to me; is there a physical reason, or is this a standard thing to do?
Also, I don't get why "this identity cuts down the size of a 2-particle configuration space by 1/2, cuts down the size of a 3-particle configuration space by 1/6, and so on." What's the relationship from 1/2 to 1/6? What comes after that? Why isn't it 1/2 to 1/4 to 1/8?
Thank you for this article. Some people may react to finding that their professional opinion be less accurate than a simple formula, but I get excited instead. It's such a great opportunity to become more accurate, with such comparatively little effort! I'm particularly interested in the medical SPRs; I aim to be a doctor, and if these will help me be better than the average doctor in many cases, then so be it. I suspect that I'll have to use them secretly.
Hello. Please call me Paul Watcher. Watcher is not my real name, but I do know someone named Watcher, and it is what I've been doing. I'm a medical student.
I've recently finished all the sequences (except the luminosity one still), and my head still hurts. I'm really happy I found them, though. It was painful, but I call myself better now.
I'm now relearning as much as I can. I'm trying to use divia's Anki deck to memorize the sequences: basic things worth memorizing. I still have yet to actually understand lot of what I read here, so I hope that helps.
I registered because I'm still confused about some things, which I hope will get answered in whatever general discussion thread I post them in. I don't really anticipate participating much more (though I'm not too confident on that).
Nevertheless, I am pleased to meet you all.
Edit: I have a question. Let's say that I'm confused about something in, say, Conservation of Expected Evidence. Should I ask my questions on it in comments of the article itself, or in the open thread of this month, or somewhere else?
Thanks, that explains the 1/2, 1/6, etc. thing. So 1/24 is indeed next.
I still don't get the folding thing (vs. making the picture diagonally symmetrical) very much, but I kind of get it, so I'll leave it be.