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What does "equals" mean? For mathematicians, this simple question has more than one answer, which is causing issues when it comes to using computers to check proofs. The solution might be to tear up the foundations of maths

AI apps can help autistic people practice social skills. But algorithms are no substitute for human relationships, experts say

ESA’s EarthCARE mission has completed its important ‘Launch and Early Orbit Phase’ and is ready to begin the commissioning of its four scientific instruments. The data they gather will improve our understanding of the role that clouds and aerosols play in Earth’s radiation balance and benefit both climate modelling and weather forecasting.

The first ESA instrument to land on the Moon has detected the presence of negative ions on the lunar surface produced through interactions with the solar wind.

Over 200 dedicated professionals from ESA, EUSPA and European industry across four Galileo centres and seven external entities have seamlessly upgraded Galileo’s massive ground segment. In a remarkable feat of coordination and precision involving the deployment of 400 items, and after five months of rehearsals, Galileo’s ground segment, the largest in Europe, has transitioned seamlessly to System Build 2.0.

A pulsar, the spinning remnants of a star that blew up in a supernova, has been spotted rotating at a comparatively slow rate of once every 54 minutes. That means it may be about to cross the "death-line" - the first time we have seen one of these stars die a second death

A pulsar, the spinning remnants of a star that blew up in a supernova, has been spotted rotating at a comparatively slow rate of once every 54 minutes. That means it may be about to cross the "death-line" - the first time we have seen one of these stars die a second death

Researchers trained a hawk outfitted with microphones to fly through a swarm of 600,000 bats, revealing how they can hear their own voice in a crowd

Researchers trained a hawk outfitted with microphones to fly through a swarm of 600,000 bats, revealing how they can hear their own voice in a crowd

Americans don’t like being told what to do, and many don’t trust government. These stubborn attitudes might turn H5N1 bird flu into a pandemic

A film made of lithium niobate and gratings of silicon dioxide converts infrared light into visible light better than the other leading compound, potentially allowing nighttime vision

A film made of lithium niobate and gratings of silicon dioxide converts infrared light into visible light better than the other leading compound, potentially allowing nighttime vision

COVID numbers are low, but some evidence suggests they could be rising. Here’s how to protect yourself this summer, according to experts

A 25-year study shows that teens who receive empathy from their parents give more empathy to their peers and, later, their own children

SpaceX is getting ready to launch its massive Starship rocket tomorrow and we have all the details on the mission

SpaceX is getting ready to launch its massive Starship rocket tomorrow and we have all the details on the mission

Five children have had gene therapy to treat inherited deafness, this time in both ears, following the success of earlier treatments in just one ear

Five children have had gene therapy to treat inherited deafness, this time in both ears, following the success of earlier treatments in just one ear

An atmospheric phenomenon known as STEVE has a secret twin that appears before the break of dawn and flows in the opposite direction, new research finds.

Make the best of the “double brood” of cicadas with insect kimchi and tempura-fried bugs.