Mathematics Starts With an Empty Set
The empty set may seem a bit feeble, but appearances deceive; it provides a vital building block for the whole of mathematics.
The empty set may seem a bit feeble, but appearances deceive; it provides a vital building block for the whole of mathematics.
Some scientists advocate pumping aerosols into the atmosphere to counter global warming by reflecting solar energy away. But according to Carnegie Institution scientists, the price we’d have to pay is the loss of the Earth’s blue skies. Blocking 2% of the sun’s light, they say, would make the sky three to five times brighter, and…
An evolutionary transition that took several billion years to occur in nature has happened in a laboratory, and it needed just 60 days. Under artificial pressure to become larger, single-celled yeast became multicellular creatures. That crucial step is responsible for life’s progression beyond algae and bacteria, and while the latest work doesn’t duplicate prehistoric transitions,…
Better lithium ion batteries have led to an explosion in availability of plug-in passenger cars. And now, thanks to relatively cheap electricity and the simplicity of the electric drivetrain, electric vehicles have even more potential for use in the extremely cost-sensitive public transportation arena—a concept that is only just taking root. In particular, two projects…
The largest 3D map yet of the universe’s huge galaxies and bright black holes may serve as a springboard toward solving some of astronomy’s greatest mysteries, its creators say. The map uses new data to reveal the locations of more than a million galaxies over a total volume of 70 billion cubic light-years. David Schlegel…
At least four times in the last few years, astronomers have announced they have found planets orbiting other stars in the sweet spot known as the habitable zone — not too hot, not too cold — where water and thus perhaps life are possible. In short, a so-called Goldilocks planet fit to be inhabited by…
A new map of the seafloor off the coast of Iberia—the region of Europe that includes Portugal and Spain—has revealed what could be the birth of a new subduction zone. Subduction zones happen when tectonic plates—the large rock slabs that make up the Earth’s crust—crash into one another. The edge of the heavier plate slides,…