THE philosopher Kant declared that Euclidean geometry was inherent in the human mind and expressed the truth about space. We now recognize that non-Euclidean geometry is equally valid as an abstract ...

IN a recent number of NATURE (June 30) there appeared a review of a book by G. Mannoury on the philosophy of mathematics, and the reviewer emphasised a statement of the author to the effect that the ...

"It took human culture millennia to arrive at a mathematical formulation of non-Euclidean spaces", comments SISSA neuroscientist Alessandro Treves, "but it's very likely that our brains could get ...

In fall 2021, senior (then-sophomore) Spencer Kates had booked a show to play at the co-op, a local St. Louis venue. But there was an issue: he didn’t have a band. A few weeks earlier, he had played ...

The shortest distance between two points is a straight line. This is one of the basic principles of Euclidean geometry. But we live on a spherical Earth, so we cannot travel the straight line path ...