- Seattle Neighborhoods: Madison Valley — Thumbnail History (historylink.org)
Madison Valley is a Seattle neighborhood located just east of Capitol Hill and the Central Area, south of Madison Park and north of Madrona. A new-old community, it is best located at the small business district near Madison Street and Martin Luther King Jr. Way. According to community leaders, its boundaries are Madison on the north, Lake Washington Boulevard and Dorffel Drive on the east, 23rd Avenue E on the west, and Denny Way to the south. The community, at one time a deteriorating hollow that affluent Madison Park and Denny-Blaine residents hurriedly drove by, has changed. Today the neighborhood is festooned with small parks, two greenbelts, a pea patch, three schools, craftsman-style houses, and a cozy upgraded business district that boasts several of Seattle’s best neighborhood restaurants.
- Well-ordering theorem (Wikipedia)
In mathematics, the well-ordering theorem, also known as Zermelo’s theorem, states that every set can be well-ordered. A set X is well-ordered by a strict total order if every non-empty subset of X has a least element under the ordering. The well-ordering theorem together with Zorn’s lemma are the most important mathematical statements that are equivalent to the axiom of choice (often called AC, see also Axiom of choice § Equivalents). Ernst Zermelo introduced the axiom of choice as an “unobjectionable logical principle” to prove the well-ordering theorem. One can conclude from the well-ordering theorem that every set is susceptible to transfinite induction, which is considered by mathematicians to be a powerful technique. One famous consequence of the theorem is the Banach–Tarski paradox.