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On these math problems, smarter people do worse

When Higher Intelligence Makes You Worse at Reasoning

Here's something that should worry every person who believes they're rational: the more mathematically capable you are, the less likely you are to think clearly about politically charged issues.

That counterintuitive finding comes from research by Dan Kahan, a scholar studying how people process scientific information. His work suggests that something other than raw intelligence determines how well we reason with data—and that thing is political identity.

On these math problems, smarter people do worse

The Skin Cream Test

Kahan's study presented participants with what looks like a simple problem. Imagine a fake clinical trial testing a new skin cream for rashes. Participants who used the cream had improved rashes 81% of the time, while those in the control group improved 65% of the time.

Most people look at these numbers and conclude the cream works—it's obvious which group had better outcomes. The larger number sits with the treatment group. This is what researchers call "proportional reasoning": comparing two ratios rather than raw totals.

But here's where it gets interesting. When Kahan tested 1,111 Americans on this problem, something unexpected happened. Participants with higher numeracy scores—meaning those more comfortable working with numbers and quantitative data—were significantly more likely to get the right answer. The math-savvy participants correctly identified that no treatment actually worked better than the control; in fact, the cream appeared to make rashes worse.

This is exactly what you'd expect: more mathematical skill leads to better reasoning when the problem is purely statistical. No politics involved. Just numbers.

When Politics Enters the Picture

Kahan then flipped the script. Instead of skin cream, he presented participants with a made-up study on gun control—comparing cities that enacted stricter firearm regulations against those that didn't—and tracked whether crime rose or fell.

The results were radically different.

When shown data suggesting gun control reduced crime, higher numeracy helped participants find the correct answer. But when shown data suggesting gun control increased crime—a conclusion aligned with conservative politics—numeracy suddenly stopped mattering. Highly numerate people scored no better than those who struggled with math.

The same pattern appeared in reverse for liberal participants. When the data showed gun control reducing crime, their reasoning improved with increasing numeracy. But when the data showed it increasing crime—a politically threatening result—all that mathematical ability vanished. They performed just as poorly as people with low numeracy scores.

This is the polarization effect. The research also found identical patterns for questions about climate change and fracking.

The Paradox of Science Literacy

Perhaps most troubling: Kahan's data showed that people who score higher on general science literacy are actually MORE polarized on politically contentious topics than those with lower scores. More knowledge doesn't lead to better reasoning—it leads to more rigid defense of existing beliefs.

The opposite holds for people who score high on something the researchers called "science curiosity." Those participants remained consistent regardless of political alignment.

What Can Be Done

Kahan identified two promising approaches. First, avoid partisan framing entirely. Instead of talking about "gun control" or "climate change," focus on specific local policies that address concrete problems—like bipartisan Florida lawmakers working together on sea-level rise without debating whether climate change is human-made.

Second, cultivate curiosity rather than knowledge. People who are curious about how the world works don't show the same polarization effect as those who simply acquire information.

The Hard Truth

The beliefs most people hold aren't formed by carefully weighing evidence. They're shaped by tribal loyalty—to political party, to social group, to cultural identity. Questioning those beliefs risks ostracism from the community that matters most.

This isn't new. It's just more visible now because everyone can shout into an infinite digital space. But awareness might be the first step toward change.

"Most people will continue to hold partisan beliefs regardless of evidence—all while believing they arrived at these positions through careful analysis."

Bottom Line

The core insight is sound: when problems are apolitical, numeracy helps reasoning. When they're political, higher intelligence makes you worse—which explains why policy debates feel impossible no matter how much expertise exists.

The biggest vulnerability is that solutions remain theoretical. Avoiding partisan language and fostering curiosity help at the margins, but they don't address the deeper problem: most people aren't interested in changing their minds, even when presented with contradictory evidence. The research confirms this. Changing behavior requires something harder than awareness—it requires genuine discomfort.

Sources

On these math problems, smarter people do worse

by Derek Muller · Veritasium · Watch video

there is this research paper that has been on my mind for years it shows that there is a particular type of problem where the smarter you are the more likely you are to get it wrong so I asked my American friend Wy to go out on the street and ask people the questions from the study to see if we could replicate its findings the first question in the paper is about a fictitious study on skin cream so in this madeup study people with skin rashes are assigned to eat did the experimental group where they use a new cream for 2 weeks or the control group where they use no cream for that same period and at the end they count up how many rashes improved and how many got worse in each treatment group the results are summarized in this table so the question study participants were asked was did the skin cream make the rash better or did it make it worse the question is a little tricky because it requires proportional reasoning I think better so what are you looking at just real quick I'm I'll be honest I'm just looking at how big the numbers are if you just look for the biggest number well that is the group who used the skin cream and the rash improved so this number is bigger than this number yeah so you might conclude that the cream worked it makes rashes better that is the intuitive answer but if you look more carefully at the data and use proportional reasoning you realize that in the experimental cream group about three times as many people got better as got worse but in the control group around five times as many people got better than worse so using no cream your rash was significantly more likely to improve in fact it's a fair conclusion to say that the cream on average made rashes worse the lead author on this study was Dan Kahan I'm studying the science of science communication he and colleag recruited a nationally diverse sample of 1,111 Americans to participate but before answering the question on skin cream each participant was asked a series of questions to assess their numeracy a numeracy it's not so much the capacity to use complicated mathematics but really to reason well about quantitative information numeracy scores for the ...