“What you write down becomes fixed. It takes on the constraints of any tangible entity. It collapses into a reality estranged from the realm of its creation. It’s a marker. A roadsign. You have stopped to get your bearings, but at a price. You’ll never know where it might have gone if you’d left it alone to go there. In any conjecture you’re always looking for weaknesses. But sometimes you have the sense that you should hold off. Be patient. Have a little faith. You really want to see what the conjecture itself is going to drag up out of the murk. I don’t know how one does mathematics. I don’t know that there is a way. The idea is always struggling against its own realization. Ideas come with an innate skepticism, they don’t go barreling ahead. And these doubts have their origin in the same world as the idea itself. And that’s not something you really have access to. So the reservations that you yourself in the your world of struggle bring to the table may actually be alien to the path of these emerging structures. Their own intrinsic doubts are steering-mechanisms while yours are more like brakes. Of course the idea is going to come to an end anyway. Once a mathematical conjecture is formalized into a theory it may have a certain luster to it but with rare exceptions you can no longer entertain the illusion that it holds some deep insights into the core of reality. It has in fact begun to look like a tool.”