A simplified and rewritten presentation of QA including new material. This new version is much easier to grasp but does not replace volumes 1, 2 and 3. Natural arithmetic, number theory and geometry is the basis of all natural phenomena. Mr. Iverson has devoted 40 years of his life to develop the principles of QA. This is system will play a major part in the New Sciences. It is based on ancient arithmetic and wholistic principles. Completely retypeset 11/2005. Also on pdf.