Theoretical physicists James Hartle and Stephen Hawking, for example, proposed that rather than having a strict beginning as ...

I've long been fascinated by the fundamental mystery of our universe's origin. In my work, I explore an alternative to the ...

A mathematical problem solved by Susanna Heikkilä relates to the classification of quasiregularly elliptic 4-manifolds, ...

Euclidean geometry is the branch of mathematics describing shapes and the spatial relationships between objects in two-dimensional (2D) and three-dimensional (3D) settings. The rules of Euclidean ...

How is this possible? The Euclidean Programme conceives of mathematical knowledge as based on watertight deduction from self-evidently true axioms (first principles). We argue that this account is not ...