Reasoning | Nick Byrd, Ph.D.

The Bat And Ball Problem 20 Years Later

In 2002, a chapter from Kahneman and Frederick mentioned “the bat and ball problem”.

A bat and a ball cost $1.10 in total.
The bat costs $1.00 more than the ball.
How much does the ball cost?

By 2005, Frederick’s Cognitive Reflection Test paper added the lesser known Widgets and Lily Pad problems. In the intervening 20-ish years, each paper seems to have accrued over 5000 citations.

In 2023, Meyer and Frederick published a massive follow-up paper about the first problem: 59 studies, over 73,000 participants, and more pages of Appendixes than pages in the main article. As someone studying various reflection tests and interventions, I had to take a look right away. In this post, I list five initial takeaways and two things to like about the paper.

Oppenheimer: ‘Philosopher-Scientist-Statesman’

J. Robert Oppenheimer “was widely known not just for his scientific success but for his remarkably wide-ranging knowledge of the humanities [,…] an extraordinary combination…”, says Ashutosh Jogalekar in his 8th and final post about Oppie over at 3 Quarks Daily (2023). Why do I start with this quote? I think it alludes to an important lesson for our time. I explain in less than 700 words below.

Upon Reflection, Ep. 12: Tell Us What You Really Think

I have a question for you: “If a bat and a ball cost $1.10 in total and the bat costs $1.00 more than the ball, how much does the ball cost?“. Did 10 cents seem right? The authors of questions like this are attempting to lure you to accept this incorrect answer in order to test whether you thought reflectively when you solved the problem. However, there may be problems with this method of testing reflective thinking. So my colleagues used some underrated methods to determine the degree to which tests like this misclassify correct responses as reflective or lured responses as unreflective. I’ll read the paper in this episode.

Podcast: Play in new window | Download (Duration: 32:57 — 60.3MB)

Upon Reflection, Ep. 10: Great Minds Do Not Think Alike

This time I read my 2022 paper in Review of Philosophy and Psychology titled, “Great Minds Do Not Think Alike: Philosophers’ Views Predicted by Reflection, Education, Personality, and Other Demographic Differences“. As the title suggests, various psychological factors predicted variance in philosophers’ answers to classic philosophical questions. This raises questions about how psychological and demographic differences can explain philosophical differences. There are also implications for scientific psychologists as well as academic philosophers.

Podcast: Play in new window | Download (Duration: 47:14 — 86.5MB)

Upon Reflection, Ep. 9: Bounded Reflectivism & Epistemic Identity

In this episode, I read one of my 2022 articles in Metaphilosophy titled, “Bounded Reflectivism & Epistemic Identity“. Does reflective reasoning help or hinder our judgment? In this paper, I take a middle view between reflectivism and anti-reflectivism that I call bounded reflectivism. The idea is that reflection is a tool that can be used to improve our judgment or for other purposes (such as to defend the beliefs that we consider essential to our identity—a.k.a., our “epistemic identity”).

Podcast: Play in new window | Download (Duration: 40:55 — 74.9MB)

Upon Reflection, Ep. 8: Reflective Reasoning & Philosophy

On this episode, I read one of my articles from 2021 titled, “Reflective Reasoning and Philosophy” in Philosophy Compass. Both philosophers and cognitive scientists seem to think that philosophical thinking could depend on whether we reason intuitively or reflectively. In this paper, I review the claims, scientific methods, evidence, and what we may need to do to improve our understanding of reflection’s role in philosophical thinking.

Podcast: Play in new window | Download (Duration: 24:03 — 44.0MB)

Upon Reflection, Ep. 6: Your Health vs. My Liberty (COVID-19 Research Paper)

Welcome to the latest episode of Upon Reflection. This time, I read my paper with Michał Białek, “Your health vs. my liberty: Philosophical beliefs dominated reflection and identifiable victim effects when predicting public health recommendation compliance during the COVID-19 pandemic” (Total N = 998).

As the title suggests we found that complying with public health recommendations didn’t depend on whether people received messaging about identifiable COVID-19 victims or statistical victims in flatten the curve graphs. Rather compliance increased the more that people endorsed an effective altruist principle about reducing harm and the more that they endorsed the truth of scientific theories, but compliance decreased as people valued liberty more than equality. Importantly, we also found that people were less likely to prevent the spread of disease by wearing masks and staying at home if the pandemic was equally deadly, but labeled as a “flu” pandemic—-mostly because they perceived this as less threatening to society. We think this suggests that people’s life-threatening decisions to flout public health recommendations like mask-wearing and staying at home during the COVID-19 pandemic was not just about ineffective messaging, but also about their prior philosophical commitments.

Podcast: Play in new window | Download (Duration: 46:52 — 85.8MB)

What good is reflective reasoning?

Philosophers and cognitive scientists tend to think that reflective reasoning will improve our judgments and decisions. The idea reflection will lead us to test our judgments by “looking for their coherence with our beliefs about similar cases and our beliefs about a broader range of …issues” a la reflective equilibrium. This sounds intuitively plausible. But is it true? In this post I briefly present some research suggesting that reflective reasoning often, but does not always improve our judgments and decisions. Continue reading What good is reflective reasoning?

8 Sources Of Morality

What is the source of morality? There are many proposed sources of morality. Here are eight, with links to peer-reviewed resources where you can find out more about each proposed source of morality.

Upon Reflection, Ep. 5: Reflective Reasoning For Real People (Dissertation Overview)

Welcome to Upon Reflection. In this episode, I review the major take-aways and findings from my dissertation titled, “Reflective Reasoning For Real People”. I explain what cognitive scientists mean by terms like “reflective reasoning”, how reflection is measured empirically, how reflection can either help or hinder our reasoning, how more reflective philosophers tend toward certain philosophical beliefs, and how reflection may help us retrain our implicit biases.

Podcast: Play in new window | Download (Duration: 15:53 — 29.1MB)