Comment author: EHeller 07 August 2015 04:00:28PM 0 points [-]

How are you defining territory here? If the territory is 'reality' the only place where quantum mechanics connects to reality is when it tells us the outcome of measurements. We don't observe the wavefunction directly, we measure observables.

I think the challenge of MWI is to make the probabilities a natural result of the theory, and there has been a fair amount of active research trying and failing to do this. RQM side steps this by saying "the observables are the thing, the wavefunction is just a map, not territory."

Comment author: nyralech 07 August 2015 05:37:10PM 0 points [-]

natural result of the theory

To my very limited understanding, most of QM in general is completely unnatural as a theory from a purely mathematical point of view. If that is actually so, what precisely do you mean by "natural result of the theory"?

Comment author: bojangles 13 June 2013 07:17:33PM 1 point [-]

I haven't read the comments yet, so apologies if this has already been said or addressed:

If I am watching others debate, and my attention is restricted to the arguments the opponents are presenting, then my using the "one strong argument" approach may not be a bad thing.

I'm assuming that weak arguments are easy to come by and can be constructed for any position, but strong arguments are rare.

In this situation I would expect anybody who has a strong argument to use it, to the exclusion of weaker ones: if A and B both have access to 50 weak arguments, and A also has access to 1 strong argument, then I would expect the debate to come out looking like (50weak) vs. (1strong) - even though the underlying balance would be more like (50weak) vs. (50weak + 1strong).

(By "having access to" an argument, I mean to include both someone's knowing an argument, and someone's having the potential to construct or come across an argument with relatively little effort.)

Comment author: nyralech 07 August 2015 01:32:02PM 0 points [-]

I think that another problem in the context of a debate is with people in often throwing down a lot of arguments. If the weak arguments all come from a single source within a short period of time I tend to discount their arguments (perhaps too much).

Comment author: roland 06 August 2015 05:14:36AM 0 points [-]

So then this initial probability estimate, 0.5, is not repeat not a "prior".

This really confuses me. Considering the Universe in your example, which consists only of the urn with the balls, wouldn't one of the prior hypotheses(e.g. case 2) be a prior and have all the necessary information to compute the lookup table?

In other words aren't the three following equivalent in the urn-with-balls universe?

  1. Hypothesis 2 + bayesian updating
  2. Python program 2
  3. The lookup table generated from program 2 + Procedure for calculating conditional probability(e.g. if you want to know the probability that the third ball is red, given that the first two balls drawn were white.)
Comment author: nyralech 06 August 2015 05:55:46PM 0 points [-]

Unless I am misunderstanding you, yes, that's precisely the point.

I don't understand why you are confused, though. None of these are, after all, numbers in (0,1), which would not contain any information as to how you would go about doing your updates given more evidence.

Comment author: Martin-2 06 August 2015 08:27:23AM 0 points [-]

One of my favorite lessons from Bayesianism is that the task of calculating the probability of an event can be broken down into simpler calculations, so that even if you have no basis for assigning a number to P(H) you might still have success estimating the likelihood ratio.

Comment author: nyralech 06 August 2015 05:43:08PM 0 points [-]

How is that information by itself useful?

Comment author: ChristianKl 22 July 2015 10:28:35PM 0 points [-]

And current mathematician have them with infinitesimally small numbers ;)

Comment author: nyralech 24 July 2015 03:10:39PM 1 point [-]

Non-standard analysis is perfectly fine. Most mathematicians just don't deal with that kind of analysis.

Comment author: Pancho_Iba 14 July 2015 11:10:25PM 0 points [-]

So, should I seek for reasonableness or rationality to prevail, whenever the rational is outside the Overton window? My dilemma is that I find more pleasure on being rational, so rationality stands I should seek for rationality, whereas the reasonable thing to do would be to stand with reasonableness and shut up.

The point is: whenever I can't decide on one over the other, which criterion should I use to make the decission, since each seems to point towards itself? This is fun.

Comment author: nyralech 14 July 2015 11:32:53PM 1 point [-]

If being reasonable is necessary to your goals, then it is already instrumentally rational to be reasonable.

Comment author: ChristianKl 03 June 2015 11:48:43AM 1 point [-]

What Do We Mean When We Say Bias?

Eliezer talked about cognitive bias, statistical bias, and inductive bias in a series of posts only the first of which made it directly into the sequences as currently organized (unless I've missed them!)

We also use the word bias when we speak about how funding sources can bias a researcher.

Comment author: nyralech 04 June 2015 09:09:20AM 0 points [-]

Isn't this just cognitive bias on part of the researcher?

Comment author: ChristianKl 03 June 2015 12:26:44PM 0 points [-]

But even if those do dominate, his involvement in math is still (weak) Bayesian evidence for my claim.

Can you quantify what you mean with "weak"?

Comment author: nyralech 04 June 2015 08:58:12AM 0 points [-]

Weak bayesian evidence E is something which you can reasonable expect to find given either hypothesis (e.g. "math is useful" vs "math is useless"), but nevertheless results in P(H|E)/P(~H|E) > P(H)/P(~H).

Strong bayesian evidence would pretty much kill the alternative hypothesis, i.e. P(~H|E) ~ 0.

Comment author: ChristianKl 03 June 2015 12:19:07PM 10 points [-]

Is there any particular reason to focus on anecdotes and not focus on the percentage of millionaires who have specific degrees?

http://time100.time.com/2013/11/11/these-are-the-most-popular-college-degrees-earned-by-millionaires/ gives for example a list.

Comment author: nyralech 04 June 2015 08:53:48AM 0 points [-]

I don't think this list tells you much.

The most obvious reason why the list might look this way is that there are simply more people getting MBAs or engineering degrees. So of course there would be more of those becoming millionaires than there are math students etc.

I'm also not sure if the study actually measured how many people with a given degree actually got this level of wealth by themselves or if they also asked those who had wealthy parents. I don't have statistics on this but it does sound reasonable (not to say that it necessarily is) that wealthy parents try to direct their children towards those degrees which are 'useful' - in their opinion - in a business environment. Since most of these people have a very poor concept of what math actually is, math probably won't be among that class.

People who study math, theoretical physics or theoretical computer science are also much more likely to stay in academia than do those who studied engineering etc.

For all I know those people who did become millionaires by themselves who got the degrees they got might actually have done much better if they had studied math or theoretical physics.

So a statistic which would really be telling here would be one which measured how many of those getting a certain degree and going into the market are becoming rich.

Comment author: AshwinV 11 May 2015 04:57:58AM 0 points [-]

I got 6 as the answer, basing it on 1. presence of inner circle 2. outer box apparently following a pattern.

But there's a high chance i'm privileging my observations.

Comment author: nyralech 11 May 2015 05:30:29AM 0 points [-]

You could also do a row-wise XOR on every feature and get 2. Which for me seemed like a pretty obvious solution to me so I went with it.

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