What is it about mathematics that it can describe so accurately the world around us?

In this talk that straddles the border of hard science and philosophy, Sabine Hossenfelder explains.

From quantum physics, the very smallest features and forces of the foundations of matter and energy, to cosmology, the very largest structures and forces of the beginning and evolution of the universe, mathematics is the language of description.

Why does the physical world follow so faithfully equations of abstract symbols and variables?

Mathematics describes the real world of atoms and acorns, stars and stairs, with remarkable precision.

Is mathematics invented by humans just like chisels and hammers and pieces of music?

Or is mathematics discovered—always out there, somewhere, like mysterious islands waiting to be found?