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Large numbers are abstract. I experimented with different ways to more closely feel these scales and discovered a personally effective approach using division and per-second counting.

The Against Malaria Foundation has protected 611,336,286 people with insecticide-treated nets.

  1. Divide by seconds in a week (604,800), giving approximately 1,000 people per second
  2. Count aloud: "1 one thousand, 2 one thousand, 3 one thousand..."
  3. Imagine doing it every second for a week

Let's try a larger number: Toby Ord calculates our "affectable universe" as having at least 10²¹ stars.

  1. Divide by Earth's projected peak population (10 billion), yielding 100 billion stars per person
  2. Divide by seconds in a century (3.16 billion), giving approximately 31 stars per person per second
  3. Count aloud: "31 Mississippi, 62 Mississippi, 93 Mississippi..."
  4. Imagine doing it every second for a century

Counting by 31s disrupts the familiar rhythm of adding single digits. Disruptive "Mississippi counting" works for more per-second quotients than just 31.

The full effect comes from simultaneously holding the count, what each increment represents, and the full timespan in mind.

I'm interested in learning what techniques others use to feel large numbers.

Index cards are good at externalizing, organizing, and engaging with thoughts.

They're small enough to focus thoughts without needing to fill space. Cards can have multiple thoughts, or just one. This is what my ADHD has found to be useful and low-friction:

Organization

  • Reorganize, discard, or add cards fast
  • Arrange on desk/floor to see connections
  • Stack to show categories, priorities, or dependencies
  • Create visual hierarchies by physically overlapping cards (completely or partially)
  • Remove unneeded cards from sight (out of mind)

Enhancements

  • Color-code with pencils or cardstock (use paper guillotine for custom sizes)
  • Hole-punch and add binder rings to keep ordered (hang from thumbtacks, carry in pocket)
  • Print labels for highly-legible permanent information (useful for habits or workflows)
  • Add stickers for fun or indication: I have one stack with the number of stickers indicating pomodoros completed, and flip to the next card on the ring after each session
  • Add fabric with textile glue for tactile elements (polyester ribbon works well)

Warnings

  • Paperclips can get stuck together or fall off
  • Sticky tabs can also fall off
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Around 1 month ago, I wrote a similar Forum post on the Easterlin Paradox. I decided to take it down because: 1) after useful comments, the method looked a little half-baked; 2) I got in touch with two academics – Profs. Caspar Kaiser and Andrew Oswald – and we are now working on a paper together using a related method.  That blog post actually came to the opposite conclusion, but, as mentioned, I don't think the method was fully thought through.  I'm a little more confident about this work. It essentially summarises my Undergraduate dissertation. You can read a full version here. I'm hoping to publish this somewhere, over the Summer. So all feedback is welcome.  TLDR * Life satisfaction (LS) appears flat over time, despite massive economic growth — the “Easterlin Paradox.” * Some argue that happiness is rising, but we’re reporting it more conservatively — a phenomenon called rescaling. * I test this hypothesis using a large (panel) dataset by asking a simple question: has the emotional impact of life events — e.g., unemployment, new relationships — weakened over time? If happiness scales have stretched, life events should “move the needle” less now than in the past. * That’s exactly what I find: on average, the effect of the average life event on reported happiness has fallen by around 40%. * This result is surprisingly robust to various model specifications. It suggests rescaling is a real phenomenon, and that (under 2 strong assumptions), underlying happiness may be 60% higher than reported happiness. * There are some interesting EA-relevant implications for the merits of material abundance, and the limits to subjective wellbeing data. 1. Background: A Happiness Paradox Here is a claim that I suspect most EAs would agree with: humans today live longer, richer, and healthier lives than any point in history. Yet we seem no happier for it. Self-reported life satisfaction (LS), usually measured on a 0–10 scale, has remained remarkably flat over the last f
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Crossposted from my blog.  When I started this blog in high school, I did not imagine that I would cause The Daily Show to do an episode about shrimp, containing the following dialogue: > Andres: I was working in investment banking. My wife was helping refugees, and I saw how meaningful her work was. And I decided to do the same. > > Ronny: Oh, so you're helping refugees? > > Andres: Well, not quite. I'm helping shrimp. (Would be a crazy rug pull if, in fact, this did not happen and the dialogue was just pulled out of thin air).   But just a few years after my blog was born, some Daily Show producer came across it. They read my essay on shrimp and thought it would make a good daily show episode. Thus, the Daily Show shrimp episode was born.   I especially love that they bring on an EA critic who is expected to criticize shrimp welfare (Ronny primes her with the declaration “fuck these shrimp”) but even she is on board with the shrimp welfare project. Her reaction to the shrimp welfare project is “hey, that’s great!” In the Bible story of Balaam and Balak, Balak King of Moab was peeved at the Israelites. So he tries to get Balaam, a prophet, to curse the Israelites. Balaam isn’t really on board, but he goes along with it. However, when he tries to curse the Israelites, he accidentally ends up blessing them on grounds that “I must do whatever the Lord says.” This was basically what happened on the Daily Show. They tried to curse shrimp welfare, but they actually ended up blessing it! Rumor has it that behind the scenes, Ronny Chieng declared “What have you done to me? I brought you to curse my enemies, but you have done nothing but bless them!” But the EA critic replied “Must I not speak what the Lord puts in my mouth?”   Chieng by the end was on board with shrimp welfare! There’s not a person in the episode who agrees with the failed shrimp torture apologia of Very Failed Substacker Lyman Shrimp. (I choked up a bit at the closing song about shrimp for s
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Confidence: Medium, underlying data is patchy and relies on a good amount of guesswork, data work involved a fair amount of vibecoding.  Intro:  Tom Davidson has an excellent post explaining the compute bottleneck objection to the software-only intelligence explosion.[1] The rough idea is that AI research requires two inputs: cognitive labor and research compute. If these two inputs are gross complements, then even if there is recursive self-improvement in the amount of cognitive labor directed towards AI research, this process will fizzle as you get bottlenecked by the amount of research compute.  The compute bottleneck objection to the software-only intelligence explosion crucially relies on compute and cognitive labor being gross complements; however, this fact is not at all obvious. You might think compute and cognitive labor are gross substitutes because more labor can substitute for a higher quantity of experiments via more careful experimental design or selection of experiments. Or you might indeed think they are gross complements because eventually, ideas need to be tested out in compute-intensive, experimental verification.  Ideally, we could use empirical evidence to get some clarity on whether compute and cognitive labor are gross complements; however, the existing empirical evidence is weak. The main empirical estimate that is discussed in Tom's article is Oberfield and Raval (2014), which estimates the elasticity of substitution (the standard measure of whether goods are complements or substitutes) between capital and labor in manufacturing plants. It is not clear how well we can extrapolate from manufacturing to AI research.  In this article, we will try to remedy this by estimating the elasticity of substitution between research compute and cognitive labor in frontier AI firms.  Model  Baseline CES in Compute To understand how we estimate the elasticity of substitution, it will be useful to set up a theoretical model of researching better alg