Mathematical Foundation for Dialectical Logic II

With distinctive treatments, this book uses continuous true-valued function to express the true-or-false state of contradiction, i.e. the partial-truth and partial-falsity, and generalized Shannon-Boltzmann entropy to contradiction entropy. If we say the methods used in formal logic are mainly algebraic, to dialectical logic author uses not only algebra, but also analysis methods.The second edition for this book adds Chapter 6. to discuss the higher-order predicate formulas, Chapter 7. to the deontic dialectical logic and benefit dialectical logic, and Chapter 8. to discuss the pure mathematics in dialectical logic. Some errors in first edition also are corrected.This book includes a huge number of examples and exercises to make readers easy to understand dialectical logic, the old and newest concept.