A ripple tells you something happened, but not exactly what. That is the core problem behind a hard class of equations that ...

The Greek philosopher Plato wrote about Socrates challenging a student with the "doubling the square" problem in about 385 B.C.E. When asked to double the area of a square, the student doubled the ...

Working memory is like a mental chalkboard we use to store temporary information while executing other tasks. Scientists worked with more than 200 elementary students to test their working memory, ...

When solving a puzzle, the answer could lie in your dreams. In a study of lucid dreamers, playing soundtracks linked with unsolved puzzles helped the sleepers solve the problems the next day, ...

A mathematician has built an algebraic solution to an equation that was once believed impossible to solve. The equations are fundamental to maths as well as science, where they have broad applications ...

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When my cofounder and I were accepted into a competitive startup accelerator program in fall 2025, we applied with an ambitious idea: to build an “AI scientist” for machine learning research. What ...

The problem with forever chemicals — a group of microscopic toxins that do not easily break down in the environment — is that the more you look for them in our water supply, the more you find them.

Neuroscientist Karen Konkoly is a lucid dreamer. When she’s asleep and immersed in a dream, she knows that she is, in fact, dreaming. One of her favorite things to do during these sleep sojourns is ...