Usually, if a die lands on edge we say it was a spoiled throw and do it over. Similarly if a Dark Lord writes 37 on the face that lands on top, we complain that the Dark Lord is spoiling our game and we don't count it.
We count 6 possibilities for a 6-sided die, 5 possibilities for a 5-sided die, 2 possibilities for a 2-sided die, and if you have a die with just one face -- a spherical die -- what's the chance that face will come up?
I think it would be interesting to develop probability theory with no boundaries, with no 0 and 1. It works fine to do it the way it's done now, and the alternative might turn up something interesting too.
"To say that human beings "invented numbers" - or invented the structure implicit in numbers - seems like claiming that Neil Armstrong hand-crafted the Moon. The universe existed before there were any sentient beings to observe it, which implies that physics preceded physicists."
No, there's a conflation of two things here.
Have you ever really looked at a penny? I'm looking at a 1990 penny now. I know that if you look at the front and you see the bas-relief of Lincoln, and the date 1990, and it's a penny, then you can be sure that the b...
Robs, religions tend to thrive among people who work hard and behave well and such. The two tend to go together. But just as priests do well in that environment so do politicians. How can we tell whether these people are helping to maintain the prosperity, or merely parasitising it? In general parasites do better with healthy hosts.
I do not claim that religion is useless. I claim that you are assuming your conclusion that it is not. Ideally we might find some sort of data. We might for example look at examples where people who previously had no religion ge...
Razib, I see you argue that different religions can compete, and what they compete for is converts who perhaps are comparing the benefits the competing religions provide them. Whether individuals make rational choices or whether they irrationally gravitate to the religions that appear to bring prosperity, either way the religions compete.
But I'm talking about how religions could have gotten their start. If people who are predisposed to religion are better at living in larger-than-kinship groups, and if people who live in larger groups survive better, then the spread of predisposition-for-religion can be explained by individual selection without requiring group selection arguments.
Lots of people think that the main thing religions do is to bind people together. The etymology of the word works that way, right? re-ligio.
If they think that's what religion does, then it's only natural they'd think that's what it gets selected for. No mystery there.
Does it take group selection? People can stay in family groups with kin selection. No mystery. Suppose that people in groups all tend to survive better than loners. That's plausible. Then anything that helps people work together in larger groups (without too many side effects) could be individ...
I didn't think it was tremendously funny. But I thought it was funny enough to recite the whole thing to my wife while she sat at her own keyboard, instead of just send her a link. She didn't think it was tremendously funny. But she politely stopped typing to listen, and she laughed some.
It seems to me like at least a B effort. The humor was in everybody wanting to believe.
In reality, wasn't there a claim that the midwife confirmed Mary was a virgin? If I lived in the village I'd probably accept that as sufficient evidence, though in my namesake's traditio...
"If you want to see an example of a measured response, take a look at the UK's after the London Underground bombings of 7th July 2005. Admittedly the bombings weren't of the same league as the September 11th attacks, but virtually nobody in the UK was saying "let's bomb the f*ers" And a month or two later (at the most) it was as if nothing had ever happened."
Mike K, I tend to agree with you, but....
The fact is, the british empire is gone and the british are ex-colonialists. As a nation they're old and tired and wimpy. It's different for...
"If you believe invading Afghanistan was a correct choice then I'm not sure how you could say Iraq was a complete mistake. The invasion of Afghanistan was aimed at eliminating a state that offered aid and support to an enemy who would use that aid and support to project power to the US and harm her citizens or the citizens of other western states. Denying that aid and support would hope to achieve the purpose of reducing or eliminating the ability of the enemy to project power.
"Any other state that might offer aid and support to the enemy would e...
"I would have preferred, for example, that the U.S., Russia, China, UK, Israel and perhaps France announced that in one year they will declare war an any other nation that either has weapons of mass destruction or doesn't allow highly intrusive inspections to make sure they don't have weapons of mass destruction."
James D. Miller, I think your idea has possibilities. However, it would be very hard for it to succeed with israel on the list of nations that has nukes but denies them to others. Israel would have to be one of the nations that would be ...
"I'd say they were cowards. Suicide isn't an act of bravery."
R U Kidding, I agree in this particular case.
If they had lived, we would have caught them and slowly tortured them to death. They were taking the easy way out by dying. Similarly with palestinian suicide bombers. By dying they avoid the treatment they'd get as prisoners of the israelis -- they get off easy.
"I still remember a kid who hit me from behind on the street once, because he was too much of a pussy to come up to my face about it."
He was expressing his feelings. Did he ...
"But there is never an Idea so true that it's wrong to criticize any argument that supports it. Never. Never ever never for ever."
Was it wrong for the guy who thought Buzz Aldrin helped fake the moon landing to present his arguments to Buzz?
One of the hungarian Manhattan-project physicists had a slogan that went "It is not enough to be rude, one must also be wrong." When it comes time to decide whether to answer a verbal argument with violence, does it matter whether the argument is wrong, or is it enough to be rude?
GW, to what extent should we treat people as we want them to treat us, and to what extent should we treat them the way they say is right and the way they treat others?
Sometimes it's polite to treat other people by their own standards, and it isn't an admission that their way is right and ours is wrong.
in the human art of rationality there's a flat law against meeting arguments with violence, anywhere in the human world
"No. You're confusing rationality with your own received ethical value system. Violence is both an appropriate and frequently necessary response to all sorts of arguments."
I want to note that Buzz Aldrin, the second man to set foot on the moon, famously encountered a man who denied that humans have ever gone to the moon but that the videos of Buzz on the moon were filmed in arizona. Buzz's response when the man presented his argu...
This generalises. Since you don't know everything, anything you do might wind up being counterproductive.
Like, I once knew a group of young merchants who wanted their shopping district revitalised. They worked at it and got their share of federal money that was assigned to their city, and they got the lighting improved, and the landscaping, and a beautiful fountain, and so on. It took several years and most of the improvements came in the third year. Then their landlords all raised the rents and they had to move out.
That one was predictable in hindsight, b...
Skilling was selecting badly. The 10% he discarded each year might have included some he should have kept, and vice versa.
Similarly, God at one point said he was going to get rid of evil people and keep good people and so people would get better. I don't see much evidence that's worked well.
Evolution happens, but if you want to harness it for your own goals you have to be very careful. Try to arrange it so you can throw away your mistakes.
There are lots of examples of unexpected selective outcomes.
A story -- a long time agon a swedish researcher tried to increase wheat yields by picking the biggest wheat kernels to plant. In only 5 generations he had a strain of wheat that produced 6 giant wheat kernels per stalk.
When scale insects were damaging citrus fruits, farmers tried to poison them with cyanide. They'd put a giant tent over the whole tree and pump in the cyanide and kill the scale insects. Plants can be immune to cyanide but no animal that depends on respiration can be. And yet in on...
Me: "in principle you ought to consider the entire state of the future universe when you set a terminal value."
Douglas: 'Yes, and in practice we don't. But as I look further into the future to see the consequences of my terminal value(s), that's when the trouble begins.'
Me: Doctor, it hurts when I do this.
Doctor: Then don't do that.
'Our modern transportation systems have effectively eliminated most of the barriers between human populations. All of our eggs are in one basket. If a highly lethal virus that will spread throughout an entire population and kill it arises, that basket will be dropped.'
This is a strong argument to change that situation. We have a communications system that lets us transmit data widely without needing personal contact. We could do some sorts of trade without a whole lot of risk, and minimise both the risk and the amount of trade for the rest.
It would be hard...
Chris and Ben, we create axiom systems and we discover parts of "mathematics". There are probably only a finite number of theorems that can be stated with only 10 characters, or 20 characters, or 30 characters, provided we don't add new definitions. But the number of possible theorems quickly gets very very large. Will each independent group of mathematicians come up with the same theorems? Probably not. So we get different mathematics.
How different could alien mathematics be? I don't know. We could look at a variety of alien mathematics and see.... (read more)