Tao (mathematics, U. of California-Los Angeles) has selected articles from his blog and Buzz feed during 2010 for the latest in a series of such collections. The six articles are loosely connected around the use of compactness and contradiction to connect finitary and infinitary mathematics. They cover logic and foundations, group theory, analysis, non-standard analysis, partial differential equations, and miscellaneous topics. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com)