One Ring that Binds Them All

rings_that_bind

They were her boys.

And she revolutionized the way to they thought about things.

And she proved it.

No, not a physical proof, for there is no such thing.  But a Mathematical proof.  Ironclad, never changing — Well almost.

To imitate, but not too much, if our discipline is not to become a marsh, a large one to be sure, but stagnant, with neither life nor movement. First imitate to learn, and then renew ourselves. … I love, at least when I am able, to regard science from a personal point of view, and always, again when possible, go beyond current opinions and look at the problem from a new perspective. I have the impression that some ways must be left behind, some mental habits must be abandoned, if we are not to clip the wings of progress. Even to science we must sometimes repeat Charon’s cry: By another way, by other ports, not here, you will find passage across the shore. In my role as teacher I hope to be able to show you other ways, if not other ports. — Giuseppe Vitali

Emmy was a teacher too.  And she fabricated some mathematics that binds them all, as they sought their own passages and ports of call. The Rings that Bind.

For she had had obstacles and a vast ocean to cross in her own passage in life — she was able to reach another shore and dwell for only a short while.  But her perspective and rings will live on forever.

Continue reading