I think math is a hugely creative field, because there are some very well-defined operations that you have to work within. You are, in a sense, straightjacketed by the rules of the mathematics. But within that constrained environment, it's up to you what you do with the symbols.
Brian GreeneScience is the greatest of all adventure stories, one that's been unfolding for thousands of years as we have sought to understand ourselves and our surroundings.
Brian GreenePhysicists are more like avant-garde composers, willing to bend traditional rules... Mathematicians are more like classical composers.
Brian GreeneTime allows change to take place and the very evolution of the universe is what requires some conception of time. Mathematically can we write down a universe that doesn't have time? Sure. Do we think that would be realised in the larger reality that is out there? None of us take that possibility seriously.
Brian GreeneEvidence in support of general relativity came quickly. Astronomers had long known that Mercuryโs orbital motion around the sun deviated slightly from what Newtonโs mathematics predicted. In 1915, Einstein used his new equations to recalculate Mercuryโs trajectory and was able to explain the discrepancy, a realization he later described to his colleague Adrian Fokker as so thrilling that for some hours it gave him heart palpitations.
Brian Greene