This is a very interesting part of an interview with Freeman Dyson where he talks about how computation could go on forever even if the universe faces a heat death scenario. https://www.youtube.com/watch?v=3qo4n2ZYP7Y
Against Phrasal Taxonomy Grammar, an essay about how any approach to grammar theory based on categorizing every phrase in terms of a discrete set of categories is doomed to fail.
What would be the physical/neurological mechanism powering ego depletion, assuming it existed? What stops us from doing hard mental work all the time? Is it even imaginable to, say, study every waking hour for a long period of time, without ever having an evening of youtube videos to relax? I'm not asking what the psychology of willpower is, but rather if there's a neurology of willpower?
And beyond ego depletion, there's a very popular model of willpower where the brain is seen as a battery, used up when hard work is being done and charged when relaxing. I...
I've decided to create a website/community that will focus on improving autonomy of humans.
https://improvingautonomy.wordpress.com
The first goal is to explore how to do intelligence augmentation of humans in safe way (using populations dynamics/etc).
I think that this is both a more likely development path than singleton AIs and also a more desirable one if done well.
Still a work in progress. I'm putting it here so that if people have good arguments that this path should not be developed at all, I would like to hear them before I get too embroiled in it.
If we want a measure of rationality that's orthogonal to intelligence, maybe we could try testing the ability to overcome motivated reasoning? Set up a conflict between emotion and reason, and see how the person reacts. The marshmallow test is an example of that. Are there other such tests, preferably ones that would work on adults? Which emotions would be easiest?
Please, recommend me more books in the line of ‘Metaphors we live by’ and ‘Surfaces and Essences’.
80,000 Hours recently ranked "Judgement and decision making" as the most employable skill.
I think they've simplified too much and ended up with possibly harmful conclusions. To illustrate one problem with their methodology, imagine that they had looked at medieval England instead. Their methods would have found kings and nobles having highest pay and satisfaction, and judgment heavily associated with those jobs. The conclusion? "Peasants, practiceth thy judgment!"
What do you think? If there was a twin study where the other twin pursued...
Cool insight. We'll just pretend constant density of 3M/4r^3.
This kind of integral shows up all the time in E and M, so I'll give it a shot to keep in practice.
You simplify it by using the law of cosines, to turn the vector subtraction 1/|r-r'|^2 into 1/(|r|^2+|r'|^2+2|r||r'|cos(θ)). And this looks like you still have to worry about integrating two things, but actually you can just call r' due north during the integral over r without loss of generality.
So now we need to integrate 1/(r^2+|r'|^2+2r|r'|cos(θ)) r^2 sin(θ) dr dφ dθ. First take your free 2π from φ. Cosine is the derivative of sine, so substitution makes it obvious that the θ integral gives you a log of cosine. So now we integrate 2πr (ln(r^2+|r'|^2+2r|r'|) - ln(r^2+|r'|^2-2r|r'|)) / 2|r'| dr from 0 to R. Which mathematica says is some nasty inverse-tangent-containing thing.
Okay, maybe I don't actually want to do this integral that much :P
EDIT: On second thoughts most of the following is bullshit. In particular, the answer clearly can't depend logarithmically on R.
I had a long train journey today so I did the integral! And it's more interesting than I expected because it diverges! I got the answer (GM^2/R^2)(9/4)(log(2)-43/12-log(0)). Of course I might have made a numerical mistake somewhere, in particular the number 43/12 looks a bit strange. But the interesting bit is the log(0). The divergence arises because we've modelled matter as a continuum, with parts of it getting arbitrarily close...
If it's worth saying, but not worth its own post, then it goes here.
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