<div>The classical logic of Frege and Russell has dominated formal logic in the 20th century. But a new type of weak relevant logic may prove itself to be better equipped to present new solutions to persisting paradoxes. <br><br><i>Universal Logic</i> conceptualizes a new weak quantified relevant logic where the main inference connective is understood as 'meaning containment.' This logic is intended to analyze naive set/class theories. The volume begins with an overview of classical logic and relevant logic, and discusses the limitations of both types of logic in analyzing certain paradoxes. A summary on the history of logic segues into the author's introduction of his new logic modeled on the properties of set-theoretic containment. This book is the first to demonstrate how the main set-theoretic and semantic paradoxes can be solved in a systematic way, which is conceptualized independently of the paradoxes themselves.<br><br></div>