Nature

Counterintuitive result

Nothing is wrong with the reasoning. The result is simply correct and human intuition is simply unreliable here. Not a contradiction at all.

True, provable, and deeply surprising.

54 entriesFilter these further →

Beginner

Ages 8+, no background needed.

PsychologyEffectFamousBeginner

Anchoring Effect

A random wheel-of-fortune spin changes your estimate of how many African nations are in the UN. The spin was meaningless. The effect was real. Why?

19746 min read

PsychologyEffectFamousBeginner

Bystander Effect

If you collapse on a busy street, your chances of getting help may be worse than on a quiet one. Why does a crowd of witnesses make you less safe?

19688 min read

PsychologyEffectFamousBeginner

Dunning-Kruger Effect

The less you know, the more confident you feel. The more you know, the more you see how much you don't. Why?

19996 min read

PsychologyEffectFamousBeginner

Halo Effect

Why does being attractive make you seem smarter, or sounding confident make you seem right — even when neither is true?

19208 min read

MathematicsFamousBeginner

Hilbert's Grand Hotel

A hotel with infinitely many rooms is completely full. At two in the morning, one more guest arrives. The manager finds them a room.

1924 (lectures), 1947 (popularised)13 min read

Computer ScienceLawFamousBeginner

Moore's Law

A pattern that held for fifty years: every two years, computers got twice as powerful for the same price. What happens when it stops?

19657 min read

PsychologyLawFamousBeginner

Murphy's Law

If anything can go wrong, will it? The saying is a joke — but the engineering principle behind it is dead serious.

19497 min read

PhilosophyPrincipleFamousBeginner

Occam's Razor

When two explanations fit the evidence equally, which should you believe? The one that assumes less.

c. 13206 min read

EconomicsPrincipleFamousBeginner

Pareto Principle

80% of results come from 20% of effort. 80% of bugs from 20% of code. Is this a law of nature, or a coincidence with a catchy ratio?

18966 min read

PsychologyLawFamousBeginner

Parkinson's Law

Give yourself a week for a task that takes an hour, and it will take a week. Why does work expand to fill available time?

19556 min read

PsychologyEffectFamousBeginner

Placebo Effect

A sugar pill reliably reduces pain in clinical trials — measurably, not just subjectively. How does a fake treatment produce real healing?

19556 min read

PsychologyFamousBeginner

Sunk Cost Fallacy

You paid for a concert ticket and now feel terrible. If you hadn't paid, you'd stay home. You paid, so you go. Why does a sunk cost change anything?

19857 min read

ProbabilityFamousBeginner

The Birthday Problem

How many people must be in a room before two of them probably share a birthday? The answer is far smaller than you expect.

1939 (first published), circulating from the 1920s14 min read

PhysicsEffectFamousBeginner

The Butterfly Effect

Can a butterfly in Brazil cause a tornado in Texas? Not by force — but by changing everything that follows.

1963 (discovery), 1972 (butterfly metaphor coined)7 min read

PsychologyPrincipleFamousBeginner

The Peter Principle

Why does every organisation seem to be run by people who are bad at their jobs? Because the good ones got promoted until they weren't.

19696 min read

EconomicsFamousBeginner

The Prisoner's Dilemma

Two people can each do better by betraying the other — and end up worse off than if neither of them had.

195018 min read

EconomicsLawBeginner

Amara's Law

Every major technology is overhyped on arrival and underestimated a decade later. Why does intuition fail in the same direction twice?

19776 min read

PsychologyEffectBeginner

Baader-Meinhof Phenomenon

You learn a new word. Within a week, you hear it three times. Did the world start using it when you did — or did you just stop filtering it out?

20066 min read

PhilosophyLawBeginner

Brandolini's Law

A tweet spreads a false claim to a million people. Correcting it requires essays and citations. Why does the truth always have to work harder?

20137 min read

PhilosophyPrincipleBeginner

Chesterton's Fence

You find a fence in the middle of a field with no obvious purpose. Remove it? Chesterton says no — and the reason reveals something about reform.

19297 min read

EconomicsEffectBeginner

Cobra Effect

The British paid a bounty for dead cobras to reduce the snake population. When it ended, the population was higher than before. What went wrong?

19008 min read

PsychologyLawBeginner

Cunningham's Law

Ask a question online and wait hours. Post the wrong answer and be corrected in minutes. Why is the urge to correct stronger than the urge to help?

20106 min read

PhilosophyPrincipleBeginner

Hanlon's Razor

They didn't do it to hurt you. Probably they just didn't think. How much does it matter?

19806 min read

PsychologyEffectBeginner

Hawthorne Effect

Workers became more productive every time the researchers changed conditions — even when they changed them back. What was the actual cause?

1924–1932 (studies), 1958 (effect named)6 min read

PsychologyLawBeginner

Hofstadter's Law

It always takes longer than you think — and that's still true even after you account for the fact that it always takes longer than you think.

19796 min read

PsychologyEffectBeginner

Ringelmann Effect

Add more people to a task and each person works harder, right? Experiments show the opposite. Why does individual effort fall as the team grows?

19136 min read

PsychologyEffectBeginner

Semmelweis Reflex

A doctor proved handwashing saved lives. He had the data. The medical profession ignored him for twenty years. Why does evidence trigger resistance?

18476 min read

PsychologyEffectBeginner

Streisand Effect

The most reliable way to ensure millions of people see something is to try to prevent anyone from seeing it.

2003 (incident), 2005 (term coined)6 min read

MathematicsBeginner

The Coastline Paradox

How long is the coastline of Britain? The answer depends on how you measure it. As the ruler gets shorter, the answer grows without bound.

1951 (Richardson), 1967 (Mandelbrot)7 min read

SocietyBeginner

The Condorcet Paradox

A majority prefers A to B, and B to C, and C to A. Every voter was honest and nobody made a mistake.

178517 min read

PsychologyBeginner

The Abilene Paradox

Everyone at the table agreed to a trip that not one of them wanted to take. How does a group choose what every member is against?

197417 min read

Intermediate

Curious teenagers and general adult readers.

EconomicsFamousIntermediate

Goodhart's Law

The moment you measure something and start rewarding the number, the number stops telling you what it used to.

1975 (Goodhart's formulation), 1997 (Strathern's phrasing)14 min read

PsychologyEffectFamousIntermediate

Pygmalion Effect

Can a teacher's expectation — with no basis in fact — make a student smarter? The data say yes. The mechanism is more unsettling than the result.

19687 min read

EconomicsFamousIntermediate

The Tragedy of the Commons

Every herder gains by putting one more animal on the shared field. The field is destroyed by people behaving reasonably.

196815 min read

MathematicsLawIntermediate

Benford's Law

Look at the first digit of every number in a newspaper. You'll see 1 far more often than 9 — and it is a mathematical law, not a coincidence.

19388 min read

Computer ScienceLawIntermediate

Brooks's Law

A software project is six months late. You add more developers. Now it's eight months late. Why?

19756 min read

Computer ScienceLawIntermediate

Conway's Law

Your software will look like your org chart. Not because you planned it, but because you couldn't plan it otherwise.

19685 min read

PsychologyLawIntermediate

Dunbar's Number

You can maintain real relationships with about 150 people. Beyond that, a group becomes something different. Is this a law of human nature?

19927 min read

PsychologyEffectIntermediate

Flynn Effect

IQ scores rise 3 points per decade worldwide. If the tests measure intelligence, are we smarter? Or is something wrong with the tests?

19847 min read

SocietyEffectIntermediate

Matthew Effect

Two equally talented people start. One gets a small early advantage. Decades later, the gap is enormous. Where did the extra distance come from?

19688 min read

Computer ScienceLawIntermediate

Metcalfe's Law

Double the users of a network and the value quadruples. This simple mathematics is why some networks become monopolies and others die empty.

19806 min read

AIIntermediate

Moravec's Paradox

A computer beat the world chess champion in 1997. Getting one to pick up a cup it has not seen before is still hard.

198811 min read

EconomicsIntermediate

The Ellsberg Paradox

You know exactly how many red balls there are, and nothing about how many are black. Does knowing more make a bet more attractive?

19617 min read

EconomicsIntermediate

The Jevons Paradox

Build an engine that burns less coal and the country ends up burning more coal. This was noticed in 1865 and has not stopped.

186518 min read

EconomicsIntermediate

The Paradox of Thrift

Every family starts saving more. The economy ends up with less saving. How can everyone doing the right thing produce the wrong outcome?

19367 min read

MathematicsLawIntermediate

Zipf's Law

The most common English word is twice as frequent as the second. Why does language obey the same mathematical law as city populations?

19357 min read

StatisticsIntermediate

Berkson's Paradox

Two things with nothing whatever to do with each other can look strongly related — purely because of who ended up in the study.

194615 min read

BiologyIntermediate

Peto's Paradox

A whale has a thousand times more cells than you and lives longer. It should be riddled with cancer. It is not.

1975 (observation), 1977 (Peto's fuller statement)17 min read

MathematicsIntermediate

The Tristram Shandy Paradox

A man writes his autobiography but keeps falling behind. If he had infinite time, would he ever catch up?

1759 (novel), 1903 (paradox formulated)8 min read

Advanced

Undergraduate level in the relevant field.

EconomicsAdvanced

Braess's Paradox

Add a new road to a congested city and every journey gets slower. Close the road again and the traffic speeds up.

196819 min read

MathematicsAdvanced

Cantor's Diagonal Argument

There are more numbers between 0 and 1 than there are whole numbers in all of eternity. Both lists are infinite.

189116 min read

EconomicsAdvanced

The Allais Paradox

Offered the same improvement in odds twice, most people take it once and refuse it the second time. Both choices feel obviously right.

1952 (posed at the Paris colloquium), 1953 (published)22 min read

EconomicsAdvanced

The Giffen Paradox

Some things sell more as the price goes up, and the people buying them are behaving perfectly sensibly.

1895 (Marshall's third edition); 2008 (first credible field evidence)18 min read

Expert

Graduate level or specialist readers.

MathematicsFamousExpert

The Banach–Tarski Paradox

Cut a solid ball into five pieces, move them around, and you have two balls the same size as the first. Nothing was stretched.

192423 min read

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