By Saharon Shelah

ISBN-10: 0198537859

ISBN-13: 9780198537854

Is the continuum speculation nonetheless open? If we interpret it as discovering the legislation of cardinal mathematics (or exponentiation, when you consider that addition and multiplication have been classically solved), the speculation will be solved by way of the independence result of Godel, Cohen, and Easton, with a few remoted optimistic effects (like Gavin-Hajnal). such a lot mathematicians count on that basically extra independence effects stay to be proved. In Cardinal mathematics, even though, Saharon Shelah deals an alternate view. by means of redefining the speculation, he will get new effects for the normal cardinal mathematics, unearths new functions, extends older tools utilizing general filters, and proves the lifestyles of Jonsson algebra. Researchers in set thought and comparable parts of mathematical good judgment may want to learn this provocative new method of a tremendous subject.