Mathematics offers a unique realm where concepts and ideas can flourish beyond the constraints of physical reality. In this abstract space, mathematicians can explore possibilities that are unattainable or unimaginable within our everyday world. This includes solving problems involving infinite dimensions, working with numbers far greater than anything we encounter in practical life, and manipulating variables that exist purely in thought.
The deeper meaning of this statement lies in the boundless creativity and freedom inherent in mathematical thinking. Mathematics provides a platform for imagination to thrive without the limitations imposed by physical laws or material boundaries. This allows mathematicians to create theories and models that may one day find applications in the real world, but which start as purely abstract concepts. For instance, complex numbers and non-Euclidean geometry were initially considered theoretical curiosities with no practical use, yet they are now fundamental in advanced physics and engineering.
Marcus du Sautoy is a renowned British mathematician known for his work in number theory and symmetry. He holds the position of Simonyi Professor for the Public Understanding of Science at the University of Oxford. Du Sautoy not only contributes to mathematical research but also aims to make mathematics accessible and engaging to people from all walks of life, much like how he describes the liberating nature of mathematical exploration in his quote.
