Meet Clever Hans, the 1900s horse that was believed to be able to solve math equations and read German

When Clever Hans was prompted with math questions, he responded by tapping his hoof to indicate his answers. Even a panel of experts found no indication of trickery in the horse's demonstrations. However, psychology student Oskar Pfungst found that Hans stopped tapping once a subtle cue on his owner's face told him to stop. The cues were so subtle that Wilhelm von Osten didn't even know he was giving them.

Lady Wonder, the horse with supposed clairvoyant powers

Lady Wonder became widely known as a horse that shared her special powers by spelling out words by using blocks with letters. She reportedly helped solve the case of a missing young boy while also offering advice and sports predictions.

How Seabiscuit's DNA made him a winner

Seabiscuit's sudden success in the sport has been framed as a classic against-the-odds sports story. One Binghamton University molecular physiologist wanted to go a bit deeper, though, to see how much genetics played a role in the horse's legendary career. Using the horse's silvered hooves, his research team discovered that Seabiscuit's genotype was typically associated with late bloomers, a finding confirmed by the horse's track record.

Mathematicians often solve problems using wordless mental processes

It's a common technique among expert mathematicians, where thinkers rely on intuition, blurry perceptions and subconscious work—no writing, no formulas. The state is distinct from daydreaming, and often relies on sudden illuminations stemming from extended periods of subconscious reflection.

Data suggests the typical horse produces over 12 horsepower—a unit of measurement for the rate of work done that was conceived as a marketing tool to communicate steam engine performance.

Computer pioneer Alan Turing was also an elite runner

Alan Turing is credited with helping to found modern computer science, in addition to cracking the Nazi code known as Enigma. Beyond these world-historical achievements, the British mathematician also nearly represented his country in the Olympics in the marathon, running just 11 minutes slower than the eventual gold recipient at the 1948 games. Read more on this lesser-known aspect of the man here.

How a brain injury created a mathematical mind

In 2002, two men savagely attacked Jason Padgett outside a karaoke bar, leaving him with a severe concussion--and turning Padgett into a mathematical genius.

Researchers once thought Stonehenge functioned as a precise astronomical computer

In the 1960s, scientists used early computers to analyze the stone layout at Stonehenge, arguing it could predict eclipses and other celestial events. This BBC Sky at Night Magazine piece explains how the theory arose—and why scholars now doubt it.

Mathematical breakthroughs influenced Shakespeare’s stories

New ideas in math were transforming Europe at the time Shakespeare penned his plays, including newly popular conceptions of zero via philosophers Descartes and Leibniz.

How math whizzes exploit sportsbooks

Chris Dirkus is a professional sports bettor who approaches the hobby as a math problem, not from a fan's perspective. He focuses on mispriced odds in popular games where many fans are betting for high liquidity. He's one of a rare segment of sports bettors exploiting slow models and human mistakes.

One of Einstein's papers challenged quantum theory but helped confirm entanglement

In 1935, Einstein suggested that quantum mechanics was incomplete due to its strange implications about entangled particles. Their challenge led to decades of experiments that eventually proved distant particles could affect each other instantly.

Button boards may be the next step in human-canine communication

In a viral trend, dogs have been recorded using button boards to seemingly "talk" with humans. Researchers are divided on whether this means dogs have learned language or are engaging in sophisticated behavioral conditioning.

In 1898, Nikola Tesla wowed a crowd by controlling a boat with no visible connection

Some onlookers thought it was a trick, such a a monkey being inside the boat, rather than mind control or some other metaphysical phenomenon. In reality, Tesla was pioneering radio waves, proving wireless control was possible.

Harvard drowned rats for this?

Harvard's 1950s rat study was ethically questionable, but scientifically profound. One rescue attempt made rats swim 40x longer. The finding: hope isn't poetic, it's biological.

Can animals understand fairness?

Academics have long wondered if fairness is solely a concern of humans. In the largest meta-analysis to date, UC Berkeley researchers tested whether monkeys felt jealousy after receiving unequal rewards. The patterns showed low evidence for inequity aversion and instead frustration due to their expectations not being met by humans. These findings suggest that pursuing fairness and equality is uniquely human.

The story of two female programmers running the simulations behind chaos theory's discovery

Margaret Hamilton and Ellen Fetter worked on MIT's 800-pound Royal McBee LGP-30 computer, which was fed binary code on paper tape to perform computations. Among the computations performed were those involving equations describing the motion of gas in a circulating fluid for Edward Lorenz, widely considered the father of chaos theory.

Some Nobel laureates have expressed beliefs in pseudoscience after winning

Examples of the phenomenon, known as Nobelitis or Nobel disease, include promoting psychic research, harmful practices like eugenics, and seeing talking raccoons. Increased external pressures after a win and a greater spotlight may contribute to developing or exposing these beliefs.

Nearly 50 years before the first observational evidence, a soldier fighting on the Eastern Front in World War I found a mathematical solution to Einstein's equations that suggested the existence of black holes.

How a competition honoring a king's birthday uncovered history's first chaotic system

A committee established a contest for King Oscar II's 60th birthday, featuring four unsolved problems in mathematics, including one on proving the stability of a system of more than two objects held together by gravity. Focusing on three celestial objects, Henri Poincaré won the prize for his proof, which he later learned was incorrect and, upon correcting it, instead proved these systems to be unstable.

In 2000, the Clay Mathematics Institute placed million-dollar bounties on seven unsolved problems in mathematics—the Millennium Prize Problems—in the hopes of spurring solutions.

The global horse market is worth about $400B

In this podcast episode from a new series on horses, Freakonomics explores the market around buying and selling some of the world's top sport horses, and the nebulous forces that make them so valuable.

Anthropic's interpretability team discusses how AI models' thinking mimics biology

Just as humans engage in complex behaviors to survive and reproduce, teams of experts in neuroscience, virology, mathematics, and other disciplines argue that large language models develop complex mechanisms to achieve their goals. These mechanisms can be manipulated to assess how they modify outputs—much like stimulating individual neurons—to uncover how LLMs "think."

The most bizarre numbers in the universe

Even for math-y types, some numbers are incomprehensible. This article dives into several kinds of numbers more complicated than even irrational numbers with endless decimals like "pi" or Euler's number: Noncomputable numbers. Read the bizarre...

The life of Edward Lorenz, who originally used a seagull in his 'butterfly effect' metaphor

By accidentally finding that rounding one variable to its third decimal place and re-running a weather simulation produced a drastically different two-month forecast, the American mathematician established the field of chaos theory. His paper—"Predictability: Does the Flap of a Butterfly's Wings in Brazil Set off a Tornado in Texas?"—introduced the well-known metaphor for the behavior of chaotic systems. (Some readers may experience a paywall.)

One of the first mechanical calculators—the Pascaline—was built in the 1640s by French mathematician Blaise Pascal to help his father, who worked as a tax collector.

Dogs' disease-sniffing skills were first identified in 1989

This capability, reported in the medical journal The Lancet, was discovered when a dog reportedly detected cancer in its handler. The dog repeatedly focused on a spot on the owner's leg where a malignant melanoma lesion was later found, helping lead to an early diagnosis.

Nine different studies exploring animals' relationship to music

Researchers have conducted multiple studies attempting to answer a certain question: do animals like human music? Across species, they observed different results and no clear pattern. Primates appear to prefer silence, and cockatoos appear to dance to funky beats.

Horses account for about 96% of known mammalian cases of West Nile virus infection beyond humans.

The Ishango bone suggests mathematics was born about 20,000 years ago

Ancient civilizations developed mathematical systems for various purposes, including the Egyptians for the construction of the pyramids and the Ancient Greeks for logical reasoning in theorems. However, these systems were predated by the Ishango bone—found in the Democratic Republic of the Congo—whose notches suggest a base ten system, prime numbers, and simple mathematical operations.

Thomas Edison, eager to communicate with ghosts, tinkered with an apparatus called the 'spirit phone.'

There are at least 6 fascinating examples of mind-controlling parasites

Parasitic organisms—including flatworms and barnacles, not just fungi—can modify animal behavior. They can give rise to dancing fish, pulsating snails, suicidal rats, and more. Though some of these pathogens can sicken humans, there is no strong evidence that any can control human behavior.

Twain claimed to possess 'mental telegraphy'

In an 1891 essay, the writer claimed to possess psychic powers. It’s something that seemingly supported by his mother and his own death: Twain predicted he would die the day after Halley’s Comet returned in 1910, which did indeed happen.

Stephen Hawking's early rowing days shaped the bold persona for which he became known

Before gaining fame as a physicist, Hawking was a coxswain at Oxford, where the sport helped him find his social footing and develop leadership skills, even as his motor neuron disease began to emerge.

The science of optical illusions

The human brain has developed cognitive shortcuts to help us navigate in a world where our visual senses are constantly bombarded of information. But these shortcuts can also be exploited, tricking the brain into telling us something is happening when it really isn't. This short video unpacks the neuroscience behind some of the most common (but perplexing) optical illusions.

The magazine competition that pitted Houdini against the author of 'Sherlock Holmes'

In 1922, Scientific American magazine launched a contest to prove, or disprove, the existence of ghosts and define the limits of Spiritualism. This article details how this competition furthered the growing ideological split between escapologist...

In the 1950s, Alan Turing developed a mathematical model to explain why animals have stripes, spots, and other patterns based on differences in how quickly two interacting chemicals spread throughout a developing organism.

Using scientific bets, Hawking challenged and highlighted major physics ideas

Hawking famously placed wagers on high-stakes questions in theoretical physics—such as the Higgs boson—for fun and to draw attention to science. When Hawking lost a bet about Cygnus X-1 being a black hole, he paid up with a magazine subscription.

An academic on why the animals in 'Animal Farm' matter

Although Orwell intentionally wrote his 1945 novella as an allegory of the Russian Revolution, Charlotte Sleigh—an associate professor of science and technology—argues that the text can also be used to understand (and complicate) our relationship with the nonhuman world.

Ray Bradbury said he was inspired to pursue writing after meeting a magician named Mr. Electrico, but scholars have never been able to confirm the story.