Suppose that every unsolved problem in mathematics that exists today were somehow solved. Would mathematics then be "complete," or would those solutions naturally lead to new unsolved problems? In other words, does solving difficult mathematical problems tend to create entirely new questions that nobody had thought of before, causing the number of unsolved problems to keep growing? Or are there reasons to think that the total number of meaningful unsolved problems could eventually decrease to zero? I'm curious whether mathematics can ever reach an endpoint, or whether the process of solving problems inevitably generates new frontiers to explore.