This book describes a new formulation of Logic. It appears to resolve all of the paradoxes that have beset Logic since the 19th century as well as the Liar paradox that dates from early Greek times. It also reduces the importance of Godel"s Undecidability Theorem by showing how to generally, and consistently, exclude undecidable propositions from a mathematical-deductive system or its corresponding calculus. The reduced system or calculus then is fully "decidable" - all propositions in the system are either provably true or false. We thus view paradoxes and other undecidable statements as the result of an inadequate (c-number) symbolic/linguistic formulation of Logic that is remedied by an operator (q-number) formulation of Logic. Remarkably the basis of this new formulation is in the general Measurement Theory of quantum phenomena. The new formulation of Logic uses Quantum Measurement Theory to create an operator (q-number) based Logic using Godel numbers throughout for signs...