Please read the post before voting on the comments, as this is a game where voting works differently.
Warning: the comments section of this post will look odd. The most reasonable comments will have lots of negative karma. Do not be alarmed, it's all part of the plan. In order to participate in this game you should disable any viewing threshold for negatively voted comments.
Here's an irrationalist game meant to quickly collect a pool of controversial ideas for people to debate and assess. It kinda relies on people being honest and not being nitpickers, but it might be fun.
Write a comment reply to this post describing a belief you think has a reasonable chance of being true relative to the the beliefs of other Less Wrong folk. Jot down a proposition and a rough probability estimate or qualitative description, like 'fairly confident'.
Example (not my true belief): "The U.S. government was directly responsible for financing the September 11th terrorist attacks. Very confident. (~95%)."
If you post a belief, you have to vote on the beliefs of all other comments. Voting works like this: if you basically agree with the comment, vote the comment down. If you basically disagree with the comment, vote the comment up. What 'basically' means here is intuitive; instead of using a precise mathy scoring system, just make a guess. In my view, if their stated probability is 99.9% and your degree of belief is 90%, that merits an upvote: it's a pretty big difference of opinion. If they're at 99.9% and you're at 99.5%, it could go either way. If you're genuinely unsure whether or not you basically agree with them, you can pass on voting (but try not to). Vote up if you think they are either overconfident or underconfident in their belief: any disagreement is valid disagreement.
That's the spirit of the game, but some more qualifications and rules follow.
If the proposition in a comment isn't incredibly precise, use your best interpretation. If you really have to pick nits for whatever reason, say so in a comment reply.
The more upvotes you get, the more irrational Less Wrong perceives your belief to be. Which means that if you have a large amount of Less Wrong karma and can still get lots of upvotes on your crazy beliefs then you will get lots of smart people to take your weird ideas a little more seriously.
Some poor soul is going to come along and post "I believe in God". Don't pick nits and say "Well in a a Tegmark multiverse there is definitely a universe exactly like ours where some sort of god rules over us..." and downvote it. That's cheating. You better upvote the guy. For just this post, get over your desire to upvote rationality. For this game, we reward perceived irrationality.
Try to be precise in your propositions. Saying "I believe in God. 99% sure." isn't informative because we don't quite know which God you're talking about. A deist god? The Christian God? Jewish?
Y'all know this already, but just a reminder: preferences ain't beliefs. Downvote preferences disguised as beliefs. Beliefs that include the word "should" are are almost always imprecise: avoid them.
Additional rules:
- Generally, no repeating an altered version of a proposition already in the comments unless it's different in an interesting and important way. Use your judgement.
- If you have comments about the game, please reply to my comment below about meta discussion, not to the post itself. Only propositions to be judged for the game should be direct comments to this post.
- Don't post propositions as comment replies to other comments. That'll make it disorganized.
- You have to actually think your degree of belief is rational. You should already have taken the fact that most people would disagree with you into account and updated on that information. That means that any proposition you make is a proposition that you think you are personally more rational about than the Less Wrong average. This could be good or bad. Lots of upvotes means lots of people disagree with you. That's generally bad. Lots of downvotes means you're probably right. That's good, but this is a game where perceived irrationality wins you karma. The game is only fun if you're trying to be completely honest in your stated beliefs. Don't post something crazy and expect to get karma. Don't exaggerate your beliefs. Play fair.
- Debate and discussion is great, but keep it civil. Linking to the Sequences is barely civil -- summarize arguments from specific LW posts and maybe link, but don't tell someone to go read something. If someone says they believe in God with 100% probability and you don't want to take the time to give a brief but substantive counterargument, don't comment at all. We're inviting people to share beliefs we think are irrational; don't be mean about their responses.
- No propositions that people are unlikely to have an opinion about, like "Yesterday I wore black socks. ~80%" or "Antipope Christopher would have been a good leader in his latter days had he not been dethroned by Pope Sergius III. ~30%." The goal is to be controversial and interesting.
- Multiple propositions are fine, so long as they're moderately interesting.
- You are encouraged to reply to comments with your own probability estimates, but comment voting works normally for comment replies to other comments. That is, upvote for good discussion, not agreement or disagreement.
- In general, just keep within the spirit of the game: we're celebrating LW-contrarian beliefs for a change!
I think you're not drawing a clear enough distinction between two different things, namely the mathematical relationships between numbers, and the correspondence between numbers and reality.
If you ask an astronomer what is the mass of some asteroid, he will presumably give you a number with a few significant digits and and uncertainty interval. If you ask him to justify this number, he will be able to point to some observations that are incompatible with the assumption that the mass is outside this interval, which follows from a mathematical argument based on our best knowledge of physics. If you ask for more significant digits, he will say that we don't know (and that beyond a certain accuracy, the question doesn't even make sense, since it's constantly losing and gathering small bits of mass). That's what it means for a number to be rigorously justified.
But now imagine that I make an uneducated guess of how heavy this asteroid might be, based on no actual astronomical observation. I do of course know that it must be heavier than a few tons or otherwise it wouldn't be noticeable from Earth as an identifiable object, and that it must be lighter than 10^20 or so tons since that's roughly the range where smaller planets are, but it's clearly nonsensical for me to express that guess with even one digit of precision. Yet I could insist on a precise guess, and claim that it's "meaningful" in a way analogous to your above justification of subjective probability estimates, by deriving various mathematical and physical implications of this fact. If you deprecate my claim that its mass is 4.5237 x 10^15kg, then you cannot also deprecate my claim that it is a sphere of radius 1km and average density 1000kg/m^3, since the conjunction of these claims is by the sheer force of mathematics false.
Therefore, I don't see how you can argue that a number is meaningful by merely noting its relationships with other numbers that follow from pure mathematics. Or am I missing something with this analogy?
The only thing you are missing is the first paragraph of my reply. Just because something doesn't have the kind of meaning you think it ought to have (by virtue of being a number, for example) that doesn't justify your claim that it is meaningless.
Subjective probabilities of isolated propositions don't have the kind of meaning you want numbers to have. But they ha... (read more)