(HARK! THERE IS ANOTHER VIDEO WITH EXACTLY THE SAME TITLE, BUT FILMED AT A DIFFERENT TIME FOR A DIFFERENT SERIES OF LECTURES. The same title was used for Managing the Unmanageable: The Mathematics of Structure, MTU2000 Video Lecture No. 4, videotaped on June 16, 2000.) note added by R.W, 3 May 2012.)

This is a record for the video filmed November 2, 1998:The full title of this lecture is The Mathematics of Structure: Its Relevance to Knowledge Reconstruction in All Fields of Study. This was Lecture No.6, of the Johnson Center Lecture Series given during 1998 Fall semester at George Mason University. It was the second of three lectures on the topic of Science. The lecture was videotaped by GMU student video center technicians. It was approximately 1 1/2 hours in length. For documents and printouts of the transparencies used in this lecture, go to the IASIS Report titled: JOHNSON CENTER LECTURE SERIES ON COMPLEXITY: Lecture Group 2, in Box 36, Folder 10

ANNOTATION WRITTEN BY WARFIELD, THIS IS AN EMAIL MESSAGE SENT TO POSSIBLE AUDIENCE ANNOUNCING THE LECTURE: “The 6th Lecture on Complexity is scheduled for Monday, 2 November, at the usual time. This is the second lecture on Science. The subtopic is: The Mathematics of Structure: Its Relevance to Knowledge Reconstruction in All Fields of Study. I have identified 24 branches or sub-branches of mathematic that are involved in the mathematics of structure. This lecture will primarily be an overview in which these branches are identified, and the way in these branches relate to one another is explained. The branches will also be organized into three categories, these being correlated with the types of mathematical mind identified in Philosophy 2: Seven Milestones in the History of Thought (Lecture 5), having come down from the biography of the American-native-born founder of physical chemistry and vector analysis: J. Willard Gibbs, i.e.: THE LOGICIANS, WHOSE PLEASURE AND POWER LIES IN THE SUBTLETY OF DEFINITION AND DIALECTIC SKILL, THE GEOMETERS, WHOSE POWER LIES IN THE USE OF THE SPACE-INTUITIONS; AND THE FORMALISTS, WHO SEEK TO FIND AN ALGORITHM FOR EVERY OPERATION I will describe how the non-mathematician is insulated from knowing the mathematics, while still being empowered by access to software that enables the Mathematics of Structure to be applied to organize knowledge.”

OVERALL LIST OF THE 12 JOHNSON CENTER LECTURES: 1- Thought Leaders and Their Contributions. This lecture was not filmed; it is hoped to make a studio videotape later. 2 - Twenty Laws of Complexity This lecture was not filmed; it is hoped to make a studio videotape later. 3 - Applications in Industry & Government 4 - Implications for Higher Education, Part I: Undergraduate Education in the USA 5 - Seven Milestones in the History of Thought This lecture was not filmed; it is hoped to make a studio videotape later. 6 - The Mathematics of Structure 7 - Applications in Ghana, Liberia and Mexico 8 - Higher Education and the Thought Leaders 9 - The Legacy of Charles Sanders Peirce 10 - The Work Program of Complexity 11 - Applications of Im in Cyprus 12 - The Wandwaver Solution r.w.3/2/2007