JOHN WILCOX
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John's Blog

How to calculate probabilities: The Bayesian calculator

11/10/2021

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the tl;dr key points

  • This post describes and provides a Bayesian calculator to supplement a philosophy of science course taught at Stanford University
  • The calculator is potentially useful for a variety of purposes, including calculating the probability of propositions in philosophical, scientific and mundane contexts
  • The calculator also features some examples of Bayesian calculations, just to help others get an intuition for how to use the calculator

THE BAYESIAN CALCULATOR: WHY YOU SHOULD CARE ABOUT IT

Tomorrow, I'll be giving my last lecture on Bayesianism for the course "Phil 60: Introduction to Philosophy of Science" at Stanford University. 

There, I'll be talking about a Bayesian solution to the problem of underdetermination, associated with Pierre Duhem and Willard van Orman Quine.

The problem essentially concerns the limited ability of evidence to support or rule out isolated hypotheses. For example, if you run an experiment to test whether a putative piece of iron melts at 1538 degrees Celsius, and the piece doesn't melt at that temperature, then you have at least two possible responses: you could rule out the hypothesis that iron melts at 1538 degrees Celsius, or you could instead rule out the hypothesis that the piece of metal was actually iron as opposed to another substance. As Duhem put it, the experiment itself does not tell you which specific hypothesis is false: 
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What makes for good judgment? A re-analysis

5/6/2021

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The TL;DR key points

  • We all make judgments about what’s true or false, but we often don’t know how good our judgments really are 
  • Thankfully, the Good Judgment project can tell us something about what makes judgments good
  • Below, I describe a re-analysis of their data which vindicates their main findings 
  • But the re-analysis also made some potential methodological improvements: ​​
               1. Estimates of accuracy could consider only final forecasts for a question
               2. When we do this, people are better forecasters than it initially appeared 
               3. And we are able to explain and predict accuracy better than it initially appeared

Good Judgment: Why you should care about it

We all make judgments every day. We all depend on them to make decisions and to live our lives. You might think someone is a good partner for you, and so you might marry them. Or you might think you will be happy in a particular career, and so you might spend countless hours of your life studying and working your way towards it.

But what happens if your judgments are wrong—if the person you married or the career you chose weren't good options?

We all know that this kind of thing happens: people make bad judgments and regret their decisions all the time. That is old news—and bad news, at that. What’s more, if we take a passing glance at the scientific study of reasoning, we’ll see that we are often biased in our judgments and we may not even realize it (check out Kahneman's fantastic book, for instance).

But there is good news: we can improve our judgments!
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How do we make changemakers? Models of metachangemaking

7/20/2020

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The TL;DR key points

  • ​This post describes a research project about "models of metachangemaking"
  • A "model of metachangemaking" is a set of ideas about how to make changemakers
  • Such models are explicit or implicit in the work of organizations like the Weaving Lab, FUNDAEC, Effective Altruism, those who try to develop altruistic leaders and others
  • Such models vary along specific dimensions: how they motivate participants, for example
  • The project is comprised of three components:
             1. Building a database of different models
             2. Assembling an annotated bibliography about metachangemaking
             3. The development of models of metachangemaking
  • The project made seem daunting, but it shouldn't: small contributions help, many hands make light work, and some progress has already been made in this area

Models of metachangemaking

How do we make “changemakers”? Put differently, how do we empower people with the motivation and efficacy to make a positive impact, to contribute to the wellbeing of humanity?

I’ll assume you’re already interested in this question, perhaps for reasons which I discuss in this other post here. Kuhan Jeyapragasan and I were talking about this, and an idea came up in our discussions: we can explore this question by doing research into so-called “models of metachangemaking”.

What is a “model of metachangemaking”? Well, let’s back up and look at a few concepts here.

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A project for Stanford affiliates: Education and impact

7/14/2020

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The TL;DR key points

  • Presumably we'd all like to live lives that make a positive impact on the world 
  • Education is a uniquely powerful tool for making an impact: it can make changemakers
  • On some toy models, the impact of education drastically outperforms the impact of other approaches to making a positive impact
  • We do not know how realistic those models are, but it is worth exploring the potential of education
  • That is the purpose of this project, and everyone is welcome to participate how they see fit

​Making an impact: Why you should care about it

Imagine that you’re 80 years old, looking back on your life and all the things you have accomplished. What would you like to see? Perhaps you’d like to see that you had a happy life, a family and success in some line of work.

But I suspect you’d also like to see that you had made a positive impact in some way: that somehow others benefited from your existence. After all, when we step back to consider the question, what beauty is there in a life lived only in pursuit of one’s selfish ends? Presumably, then, this has implications for now: presumably we’d like to make a positive impact while we still can.


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Estimating risk: Why we're bad at it, and how to get better

7/12/2020

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​The TL;DR key points

  • We all estimate risks, especially in the age of COVID-19
  • But research shows we are often bad at this, and we don't even realize it
  • This is true for people with PhDs, people across cultures and even doctors and political experts
  • Fortunately, though, research shows we can get much better if we:
               1. Think in terms of probability
               2. Know our biases, such as overconfidence and availability biases
               3. Use statistics, even simple ones
  • If we do this, we'd be less worried--at least about some risks--but ideally still conscientious 

Estimating risk: Why you should care about it

Nowadays, we’re especially worried about risks—about the risk of getting COVID if we hop on a plane or go to an in-person class, or about the risk of dying if we get COVID. And some risks are worth taking, but others aren't; it depends partly on how we estimate the risks.

So, then, how good are we at estimating risk? And how should we estimate risks?


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    John Wilcox

    Cognitive scientist
    @ Columbia University
    Founder
    @ Alethic Innovations

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  • Home
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  • Teaching
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  • John's Blog