Algebra of Thought & Reality: a New Operator Formulation for Classical & Quantum Logic Obviating Logic Paradoxes & Gödel's Theorem; & Realizing Plato's Theory of Ideas & Reality - the Standard Model

This book describes a new formulation of Logic -- Operator Logic. It appears to resolve all of the paradoxes that have beset Logic since the 19th century. It reduces the importance of Gödel's Undecidability Theorem by showing how to generally, and consistently, exclude undecidable propositions from a mathematical-deductive system or its corresponding calculus. The book also shows how Plato's theory of Ideas and Reality, and their mathematical relation, is mirrored by the development of the Standard Model of Elementary Particles from the mathematical framework of Operator Logic. This book can be viewed as the precursor of the derivation of the Standard Model given in Blaha??s book A Complete Derivation of the Form of the Standard Model with a New Method to Generate Particle Masses. Together these books provide an implementation of Plato's qualitative theoretic framework.