Episode 31: Branden Fitelson discusses reasoning fallacies

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Elucidations 44 min 2 speakers 8 chapters transcribed 2 hours ago
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What is the introductory overview of the episode and who are the hosts?

Matt Teichman 0:00
This is just a quick message to let you know that Elucidations now has a blog. Check it out at Lucian that's L U C I A N Lucian dot ushicago.edu slash blogs slash elucidations. Check it out. Let us know what you think.
Matt Teichman 0:36
Hello and welcome to Elucidations, a philosophy podcast recorded at the University of Chicago. I'm Matt Teichman.
Jamie Edwards 0:42
And I'm Jamie Edwards.
Matt Teichman 0:45
With us today is Brandon Feidelsen, Associate Professor of Philosophy at Rutgers University, and he is here to talk to us about reasoning fallacies. Brandon Feidelsen, welcome.
Branden Fitelson 0:55
Thank you. So it's great to be here.
Matt Teichman 0:59
So what are some of these reasoning fallacies that you're interested in? What would be an example of one?
Branden Fitelson 1:04
Okay, well there's lots of reasoning fallacies in the contemporary psychological literature. There are ones involving deduction, you know, simple deductive rules where people tend to make mistakes. Uh but today I'm gonna focus instead on some very simple examples involving probability, involving induction. So these aren't deductive inferences. That is uh There aren't cases where you can, you know, infer with certainty a conclusion. Uh there'll be probabilistic inferences. But they're relatively simple, and they're the kind of things that we do all the time. So the fact that we make certain kinds of systematic mistakes is a very important subject in psychology. In fact, Kahneman and Tversky, who are the people I'm going to talk about, who discovered these fallacies, they won a Nobel Prize for this work, among other things, but they won
Branden Fitelson 1:50
won a Nobel Prize in Economics. So this stuff's i it's really has important ramifications. Let me start with probably the simpler of the two. The simpler two which is sometimes known as the so called base rate fallacy. It's called that because part of the story involves what are called base rates. So I'll give you just a simple there are many examples of this, but a simple example would be: suppose you're considering whether you have some very, very rare disease. Pick your favorite rare disease. It could be some very rare genetic disease or some communicable disease, doesn't really matter, but it has to be very, very rare in the population. And that means it has a low base rate. So that's where the word base rate comes from.
Branden Fitelson 2:28
So the base rate is sort of the background frequency with which it occurs in the population. Suppose that's That's really low. So pick your favorite very, very rare disease. There are many. It doesn't really matter which one. But let it be one for which we have a reliable diagnostic test. Okay, not perfectly reliable, but highly reliable. And suppose you don't know anything about whether you have the condition yet, and you go and get this test performed reliably, according to the usual protocol, and a positive test result comes back for the disease. So the question then is, how probable do you think it is that you have the disease, just based on this single reliable but not perfectly reliable test result?
Branden Fitelson 3:08
Most people would be inclined to say it's pretty probable. Maybe it's more probable than not, maybe it's even highly probable that I have the disease. In fact that answer is incorrect. And you know, you can look at detailed cases with specific numbers, but actually that won the details of this won't matter too much for our purposes. We can actually gloss over a lot of the details. But if we make the the point is this, if we make the disease rare enough. then no matter how reliable the test, as long as it's not perfectly reliable. A single test result is only going to raise the probability. It'll raise it in ratio a very large amount. It'll sort of magnify it, but still it'll come out in the end the end of that process being still very small, certainly less than a half.
Branden Fitelson 3:48
And this kind of mistake is made very commonly not just among ordinary people, but these experiments involving specific numbers. So you know, we can instantiate this. You can imagine this instantiate with specific diseases and specific populations. And not only do ordinary people get this reasoning wrong, but experts, epidemiologists, doctors, this is a very robust phenomenon where people overestimate the probability of a rare disease on the at least on the basis of just a single test result.

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