The classical logic of Frege and Russell 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.
Universal Logic conceptualizes a new weak quantified relevant logic where
the main inference connective is understood as `meaning containment'. This
logic is intended to analyze naïve 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.
Ross Brady is a senior lecturer in philosophy at La Trobe University in
Australia.
