#139 Classic episode – Alan Hájek on puzzles and paradoxes in probability and expected value

#139 Classic episode – Alan Hájek on puzzles and paradoxes in probability and expected value

A casino offers you a game. A coin will be tossed. If it comes up heads on the first flip you win $2. If it comes up on the second flip you win $4. If it comes up on the third you win $8, the fourth you win $16, and so on. How much should you be willing to pay to play?

The standard way of analysing gambling problems, ‘expected value’ — in which you multiply probabilities by the value of each outcome and then sum them up — says your expected earnings are infinite. You have a 50% chance of winning $2, for '0.5 * $2 = $1' in expected earnings. A 25% chance of winning $4, for '0.25 * $4 = $1' in expected earnings, and on and on. A never-ending series of $1s added together comes to infinity. And that's despite the fact that you know with certainty you can only ever win a finite amount!

Today's guest — philosopher Alan Hájek of the Australian National University — thinks of much of philosophy as “the demolition of common sense followed by damage control” and is an expert on paradoxes related to probability and decision-making rules like “maximise expected value.”

Rebroadcast: this episode was originally released in October 2022.

Links to learn more, highlights, and full transcript.

The problem described above, known as the St. Petersburg paradox, has been a staple of the field since the 18th century, with many proposed solutions. In the interview, Alan explains how very natural attempts to resolve the paradox — such as factoring in the low likelihood that the casino can pay out very large sums, or the fact that money becomes less and less valuable the more of it you already have — fail to work as hoped.

We might reject the setup as a hypothetical that could never exist in the real world, and therefore of mere intellectual curiosity. But Alan doesn't find that objection persuasive. If expected value fails in extreme cases, that should make us worry that something could be rotten at the heart of the standard procedure we use to make decisions in government, business, and nonprofits.

These issues regularly show up in 80,000 Hours' efforts to try to find the best ways to improve the world, as the best approach will arguably involve long-shot attempts to do very large amounts of good.

Consider which is better: saving one life for sure, or three lives with 50% probability? Expected value says the second, which will probably strike you as reasonable enough. But what if we repeat this process and evaluate the chance to save nine lives with 25% probability, or 27 lives with 12.5% probability, or after 17 more iterations, 3,486,784,401 lives with a 0.00000009% chance. Expected value says this final offer is better than the others — 1,000 times better, in fact.

Ultimately Alan leans towards the view that our best choice is to “bite the bullet” and stick with expected value, even with its sometimes counterintuitive implications. Where we want to do damage control, we're better off looking for ways our probability estimates might be wrong.

In this conversation, originally released in October 2022, Alan and Rob explore these issues and many others:

  • Simple rules of thumb for having philosophical insights
  • A key flaw that hid in Pascal's wager from the very beginning
  • Whether we have to simply ignore infinities because they mess everything up
  • What fundamentally is 'probability'?
  • Some of the many reasons 'frequentism' doesn't work as an account of probability
  • Why the standard account of counterfactuals in philosophy is deeply flawed
  • And why counterfactuals present a fatal problem for one sort of consequentialism

Chapters:

  • Cold open {00:00:00}
  • Rob's intro {00:01:05}
  • The interview begins {00:05:28}
  • Philosophical methodology {00:06:35}
  • Theories of probability {00:40:58}
  • Everyday Bayesianism {00:49:42}
  • Frequentism {01:08:37}
  • Ranges of probabilities {01:20:05}
  • Implications for how to live {01:25:05}
  • Expected value {01:30:39}
  • The St. Petersburg paradox {01:35:21}
  • Pascal’s wager {01:53:25}
  • Using expected value in everyday life {02:07:34}
  • Counterfactuals {02:20:19}
  • Most counterfactuals are false {02:56:06}
  • Relevance to objective consequentialism {03:13:28}
  • Alan’s best conference story {03:37:18}
  • Rob's outro {03:40:22}

Producer: Keiran Harris
Audio mastering: Ben Cordell and Ryan Kessler
Transcriptions: Katy Moore

Jaksot(293)

#4 - Howie Lempel on pandemics that kill hundreds of millions and how to stop them

#4 - Howie Lempel on pandemics that kill hundreds of millions and how to stop them

What disaster is most likely to kill more than 10 million human beings in the next 20 years? Terrorism? Famine? An asteroid? Actually it’s probably a pandemic: a deadly new disease that spreads out of control. We’ve recently seen the risks with Ebola and swine flu, but they pale in comparison to the Spanish flu which killed 3% of the world’s population in 1918 to 1920. A pandemic of that scale today would kill 200 million. In this in-depth interview I speak to Howie Lempel, who spent years studying pandemic preparedness for the Open Philanthropy Project. We spend the first 20 minutes covering his work at the foundation, then discuss how bad the pandemic problem is, why it’s probably getting worse, and what can be done about it. Full transcript, apply for personalised coaching to help you work on pandemic preparedness, see what questions are asked when, and read extra resources to learn more. In the second half we go through where you personally could study and work to tackle one of the worst threats facing humanity. Want to help ensure we have no severe pandemics in the 21st century? We want to help. We’ve helped dozens of people formulate their plans, and put them in touch with academic mentors. If you want to work on pandemic preparedness safety, apply for our free coaching service. APPLY FOR COACHING 2m - What does the Open Philanthropy Project do? What’s it like to work there? 16m27s - What grants did OpenPhil make in pandemic preparedness? Did they work out? 22m56s - Why is pandemic preparedness such an important thing to work on? 31m23s - How many people could die in a global pandemic? Is Contagion a realistic movie? 37m05s - Why the risk is getting worse due to scientific discoveries 40m10s - How would dangerous pathogens get released? 45m27s - Would society collapse if a billion people die in a pandemic? 49m25s - The plague, Spanish flu, smallpox, and other historical pandemics 58m30s - How are risks affected by sloppy research security or the existence of factory farming? 1h7m30s - What's already being done? Why institutions for dealing with pandemics are really insufficient. 1h14m30s - What the World Health Organisation should do but can’t. 1h21m51s - What charities do about pandemics and why they aren’t able to fix things 1h25m50s - How long would it take to make vaccines? 1h30m40s - What does the US government do to protect Americans? It’s a mess. 1h37m20s - What kind of people do you know work on this problem and what are they doing? 1h46m30s - Are there things that we ought to be banning or technologies that we should be trying not to develop because we're just better off not having them? 1h49m35s - What kind of reforms are needed at the international level? 1h54m40s - Where should people who want to tackle this problem go to work? 1h59m50s - Are there any technologies we need to urgently develop? 2h04m20s - What about trying to stop humans from having contact with wild animals? 2h08m5s - What should people study if they're young and choosing their major; what should they do a PhD in? Where should they study, and with who? More...

23 Elo 20172h 35min

#3 - Dario Amodei on OpenAI and how AI will change the world for good and ill

#3 - Dario Amodei on OpenAI and how AI will change the world for good and ill

Just two years ago OpenAI didn’t exist. It’s now among the most elite groups of machine learning researchers. They’re trying to make an AI that’s smarter than humans and have $1b at their disposal. Even stranger for a Silicon Valley start-up, it’s not a business, but rather a non-profit founded by Elon Musk and Sam Altman among others, to ensure the benefits of AI are distributed broadly to all of society.  I did a long interview with one of its first machine learning researchers, Dr Dario Amodei, to learn about: * OpenAI’s latest plans and research progress. * His paper *Concrete Problems in AI Safety*, which outlines five specific ways machine learning algorithms can act in dangerous ways their designers don’t intend - something OpenAI has to work to avoid. * How listeners can best go about pursuing a career in machine learning and AI development themselves. Full transcript, apply for personalised coaching to work on AI safety, see what questions are asked when, and read extra resources to learn more. 1m33s - What OpenAI is doing, Dario’s research and why AI is important  13m - Why OpenAI scaled back its Universe project  15m50s - Why AI could be dangerous  24m20s - Would smarter than human AI solve most of the world’s problems?  29m - Paper on five concrete problems in AI safety  43m48s - Has OpenAI made progress?  49m30s - What this back flipping noodle can teach you about AI safety  55m30s - How someone can pursue a career in AI safety and get a job at OpenAI  1h02m30s - Where and what should people study?  1h4m15s - What other paradigms for AI are there?  1h7m55s - How do you go from studying to getting a job? What places are there to work?  1h13m30s - If there's a 17-year-old listening here what should they start reading first?  1h19m - Is this a good way to develop your broader career options? Is it a safe move?  1h21m10s - What if you’re older and haven’t studied machine learning? How do you break in?  1h24m - What about doing this work in academia?  1h26m50s - Is the work frustrating because solutions may not exist?  1h31m35s - How do we prevent a dangerous arms race?  1h36m30s - Final remarks on how to get into doing useful work in machine learning

21 Heinä 20171h 38min

#2 - David Spiegelhalter on risk, stats and improving understanding of science

#2 - David Spiegelhalter on risk, stats and improving understanding of science

Recorded in 2015 by Robert Wiblin with colleague Jess Whittlestone at the Centre for Effective Altruism, and recovered from the dusty 80,000 Hours archives. David Spiegelhalter is a statistician at the University of Cambridge and something of an academic celebrity in the UK. Part of his role is to improve the public understanding of risk - especially everyday risks we face like getting cancer or dying in a car crash. As a result he’s regularly in the media explaining numbers in the news, trying to assist both ordinary people and politicians focus on the important risks we face, and avoid being distracted by flashy risks that don’t actually have much impact. Summary, full transcript and extra links to learn more. To help make sense of the uncertainties we face in life he has had to invent concepts like the microlife, or a 30-minute change in life expectancy. (https://en.wikipedia.org/wiki/Microlife) We wanted to learn whether he thought a lifetime of work communicating science had actually had much impact on the world, and what advice he might have for people planning their careers today.

21 Kesä 201733min

#1 - Miles Brundage on the world's desperate need for AI strategists and policy experts

#1 - Miles Brundage on the world's desperate need for AI strategists and policy experts

Robert Wiblin, Director of Research at 80,000 Hours speaks with Miles Brundage, research fellow at the University of Oxford's Future of Humanity Institute. Miles studies the social implications surrounding the development of new technologies and has a particular interest in artificial general intelligence, that is, an AI system that could do most or all of the tasks humans could do. This interview complements our profile of the importance of positively shaping artificial intelligence and our guide to careers in AI policy and strategy Full transcript, apply for personalised coaching to work on AI strategy, see what questions are asked when, and read extra resources to learn more.

5 Kesä 201755min

#0 – Introducing the 80,000 Hours Podcast

#0 – Introducing the 80,000 Hours Podcast

80,000 Hours is a non-profit that provides research and other support to help people switch into careers that effectively tackle the world's most pressing problems. This podcast is just one of many things we offer, the others of which you can find at 80000hours.org. Since 2017 this show has been putting out interviews about the world's most pressing problems and how to solve them — which some people enjoy because they love to learn about important things, and others are using to figure out what they want to do with their careers or with their charitable giving. If you haven't yet spent a lot of time with 80,000 Hours or our general style of thinking, called effective altruism, it's probably really helpful to first go through the episodes that set the scene, explain our overall perspective on things, and generally offer all the background information you need to get the most out of the episodes we're making now. That's why we've made a new feed with ten carefully selected episodes from the show's archives, called 'Effective Altruism: An Introduction'. You can find it by searching for 'Effective Altruism' in your podcasting app or at 80000hours.org/intro. Or, if you’d rather listen on this feed, here are the ten episodes we recommend you listen to first: • #21 – Holden Karnofsky on the world's most intellectual foundation and how philanthropy can have maximum impact by taking big risks • #6 – Toby Ord on why the long-term future of humanity matters more than anything else and what we should do about it • #17 – Will MacAskill on why our descendants might view us as moral monsters • #39 – Spencer Greenberg on the scientific approach to updating your beliefs when you get new evidence • #44 – Paul Christiano on developing real solutions to the 'AI alignment problem' • #60 – What Professor Tetlock learned from 40 years studying how to predict the future • #46 – Hilary Greaves on moral cluelessness, population ethics and tackling global issues in academia • #71 – Benjamin Todd on the key ideas of 80,000 Hours • #50 – Dave Denkenberger on how we might feed all 8 billion people through a nuclear winter • 80,000 Hours Team chat #3 – Koehler and Todd on the core idea of effective altruism and how to argue for it

1 Touko 20173min

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