Mathematicians are proud of the fact that, generally, they do their work with a piece of chalk and a blackboard. They value hand-done proofs above all else. A big question in mathematics today is whether or not computational proofs are legitimate. Some mathematicians won't accept computational proofs and insist that a real proof must be done by the human hand and mind, using equations.

Seeing and playing with physical objects can enable access to symbolic ideas. When I studied physics and math at university it was all done through equations and textbooks whereas artists go to art school and start making stuff; they fling paint at the walls, they dance and bash things together with giant bits of metal. Our society has come to think of science as being a very abstractified thing, and art as being a materialized thing.

If I could do anything in my life and be remembered for anything, I would like to be remembered for helping the world see the value of physical engagement with ideas.

Simple DNA gradually morphed and evolved, so that you had the coming into being of ever more complex and diverse creatures, until one day you wake up and find there are peacocks and giraffes. Nature is an open-ended experiment based on morphing a DNA code, and ours is an open-ended experiment based on morphing a crochet code.

I believe that there is a love that moves the sun and the other stars.

When you're in a room with twenty people who've all got the True Theory of the universe, it's difficult to know what to do. And the paradox is that so much important science is now being done by huge teams. With Higgs boson, for example, it's estimated there were around ten thousand scientists and engineers involved in building the machines that made this discovery possible.

As a child it was clear to me that in some sense math was in the world around us. I became fascinated by what this means. When you look at the shape of the sun and the moon, they're circles, so every time you see a circular thing, there's pi embedded in it.