I feel like question 1 could be tweaked so that it's harder to put in wrong answers (in this case, not weakly increasing probability estimates). Maybe you could ask for the probabilities that humanity will go extinct in certain ranges of time (e.g. "How likely do you think it is that humanity survives to the year 2100 but goes extinct by 2200?"). Or, to circumvent the condition that the probabilities add to less than 100%, you could condition: "Assuming that humanity survives to the year 2100, how likely do you think it is that humanity th...
When you use the actual numbers of people, you get those numbers by using the base rate: 10,000 women total, of which 100 have cancer (that's the base rate in action), of which 80 test positive, etc. So if you use the numbers 80 (= 0.8 0.01 10000) and 950 = (0.096 0.99 10000), you're not ignoring the base rate. You would be ignoring the base rate if you used the numbers 8000 and 960 (80% and 9.6% of the population of 10,000, respectively), but those numbers don't refer to any relevant groups of people.
You're forgetting the "base rate" in your calculation: the actual rate of cancer in the population. What you should really be taking the ratio of is (the fraction of all women that have cancer and test positive) / (the fraction of all women that test positive, whether or not they have cancer). In percentages, that's
(80% of the 1% of women who have cancer, who correctly test positive) = 0.8 * 0.01.
divided by
(80% of the 1% of women who have cancer, who correctly test positive) together with (9.6% of the 99% of women who don't have cancer, who t...
I meant the first one: faster than light in both directions.
You can think of it this way: if any reference frame perceived travel from B to A slower than light, then so would every reference frame. The only way for two observers to disagree about whether the object is at A or B first, is for both to observe the motion as being faster than light.
Shinoteki is right - moving slower than light is timelike, while moving faster than light is spacelike. No relativistic change of reference frame will interchange those.
You are correct: moving from A to B faster than the speed of light in one reference frame is equivalent to moving from B to A faster than the speed of light in another reference frame, according to special relativity.
I think the error lies in this sentence:
"Presumably your chances of success this time are not affected by the next one being a failure."
I assume you think this is true because there's no causal relationship where the next shuttle launch can affect this one, but their successes can still be correlated, which your probability estimate isn't taking into account.
If you want to update meaningfully, you need to have an alternative hypothesis in mind. (Remember, evidence can only favor one hypothesis over another (if anything); evidence is never "...
Here's a practical suggestion: bake crackers. Buying gluten-free crackers can get annoyingly expensive, but it's not hard to bake your own, and they come with the following benefits:
Upvoted; thanks for providing the name "Dunning-Kruger" and the Oresme example!
You're right; maybe I'm overestimating my ability to explain things so that laypeople will understand. But there are some concessions you can make to get the idea across without the full background of complex linear algebra - often I use polarizers as an example, because most people have some experience with them (from sunglasses or 3D movies), and from there it's only a hop, skip, and a jump to entangled photons.
I do try to explain so that people feel like the explanation is totally natural, but then I often run into the problem of people trying to reason about quantum mechanics "in English", so to speak, instead of going to the underlying math to learn more. Any suggestions?
I can intentionally do lots of things, some of which cause entanglement and "collapse", and some of which don't. I'd say to them that it still seems like the conscious intent isn't what's important.
If you'd like to substitute a better picture for the layperson, I'd go with "disturbing the system causes collapse". (Where "disturb" is really just a nontechnical way of saying "entangle with the environment.") Then it's clear that conscious observation (which involves disturbing the system somehow to get your measurem...
Perhaps that extremely simple systems, that no one would consider conscious, can also "cause collapse"? It doesn't take much: just entangle the superposed state with another particle - then when you measure, canceling can't occur and you perceive a randomly collapsed wavefunction. The important thing is the entangling, not the fact that you're conscious: measuring a superposed state (i.e. entangling your mind with it) will do the trick, but it's entirely unnecessary.
I used to believe the consciousness-causes-collapse idea, and it was quite a relief when I realized it doesn't work like that.
Upvoted because I like to see this kind of brainstorming, although I feel like the "strongly care about" criterion is a bit ad hoc and maybe unnecessary. To me it sounds more correct to say that Mr. IHJ doesn't care about his future selves, not that he doesn't have any.
Upvoted for noticing your confusion. At least two possible reasons come to mind:
Explanation 1: Luke has made many solid contributions in the past, and such contributors' comments tend to receive more upvotes than others' do, just by a kind of halo effect: "Luke's other posts are good, so he's a good rationalist, so this comment of his must be good too." I don't know how true this is: I've heard the idea suggested by other people here, but I've also seen several examples of top contributors receiving well-deserved downvotes in some cases.
Explana...
I'm about 15% through the lessons on Gregg shorthand here: http://gregg.angelfishy.net/ (This is my first comment, so I'm not sure how to do links. If someone would to point me to instructions, I'd be grateful.)
Mostly this comes under the "productive entertainment" heading, like knitting, but there's the possibility that knowing shorthand will come in useful in the future, e.g. for taking more complete lecture notes or fitting more words on a postcard.
My goals for this project are to (1) work through all the units on the website, (2) improve my speed to at least my current longhand speed, and (3) write shorthand as fast as people talk.
In my experience, this is a very legitimate concern. What you might want to do instead is set sub-goals: reach 200 posts by Saturday, 230 by the Saturday after that, etc. That way, you're giving yourself the chance to see now whether 4 posts per day is too much to expect yourself to handle, while at the same... (read more)