For many centuries it was believed that only classical Euclidean geometry could provide a correct way of mathematically representing the universe  Nevertheless, scientists have come to believe that a representation of the universe employing non-Euclidean geometry is much more useful in developing certain areas of scientific theory
In fact, such a representation underlies the cosmological theory that is now most widely accepted by scientists as accurate
Scientists who use Euclidean geometry are likely to believe that progress in mathematical theory results in progress in natural science.