"Sets and number theories overlap," said Amrita. I suddenly realized by the tension in her voice that she was very serious. "Geometries don't. Different geometries are based on different theorems, postulate different axioms, and give rise to different realities." "Different realities?" I repeated. "How can you have different realities?" "Perhaps you cannot," said Amrita. "Perhaps only one is 'real.' Perhaps only one geometry is true. But the question is, What happens to me—to all of us—if we've chosen the wrong one?"
