A mathematician on how to get a stuck mind moving
Dan Rockmore writes: My job is to come up with ideas. Sometimes we mathematicians call the things we think about and work with “objects,” which doesn’t mean triangles, spheres, or other shapes. Mathematical objects are big ideas about algebra, geometry, and logic, about the properties and definitions of numbers. It’s not at all obvious how to go about thinking up some new twist on these things—the transformation from test-taker to theorem poser and then theorem prover is difficult to articulate….