Transparencies for the Mathematics of Structure

This is a collection of 31 transparencies printed and tape-bound as a manual, and used as a handout for the George Mason University 4-day Short Course on Complexity Science and Interactive Management, offered 15-18 February 1999. The full title is: “Transparencies for the Mathematics of Structure: Its Relevance to Knowledge Construction and Reconstruction in All Fields of Study."

"Transparencies for the Mathematics of Structure: Its Relevance to Knowledge Construction and Reconstruction in All Fields of Study" is the full title on the title page. This is a collection of 31 transparencies printed and tape-bound as a manual, and used as a handout for the George Mason University 4-day Short Course on Complexity Science and Interactive Management, offered in the period 15 February to 18 February inclusive, 1999. Taught in Room 311 Johnson Center, attendees were Phil Ernzen, Jim Bernthal and PSOL students. Most of Warfield's notes on this course refer to it as "Ernzen1999ShortCourse." Prior to that workshop, this same cell collection was used as handout and also shown as the transparencies for Lecture No. 6 of the Complexity Lectures presented at Johnson Center in the Fall Semester of 1998.

In this 1999 cell-pack (almost but not quite identical to the Lecture 6 1998 cell-pack), the titles are: Title page Components of the Mathematics of Structure, a 3-page transparency List of Transparencies (a contents page); 1. The Central Message, cow153F Page 6; 2. PEIRCE (C. S.): The Observer and the Observed, phw014A Page 7; 3. Digraph of Matrix, Page 8; 4. Rearrangement of Matrix, Page 9; 5. Matrix for Example, Page 10; 6. JOPES Problematique, cai09.idw Page 11; 7. JOPES Problematique for Categories, cai36.idw Page 12; 8. Seven Ways to Represent Complexity, cow074F Page 13; 9. Model Exchange: Three Forms that Portray the Same Information, Page 14; 10. LEE: The Type of Model that we get but Don't Want, biw010G Page 15; 11. LEE: The Type of Model that we want but Don't Get, biw003G Page 16; 12. Consequence of Reliance on Sophisticated Models Based on Simplistic Assumptions, Page 17; 13. Sophisticated Models Lack Referential Transparency, Page 18; 14. The Mathematics of Structure is a Synergistic Union…, Page 19; 15. Symbolic Associations, Page 20; 16. Example of a Relation Map: Teaching Fractions, imi102.idw Page 21; 17. An Inner Cycle for the Pascal Computer Language, Page 22; 18. Computer-Drawn Relation Maps, Page 23; 19. Dependency Sequence of Components of the Mathematics of Structure, imi16.idwG Page 24; 20. Hierarchy of Model Types, mmi06.idwE Page 25; 21 Fundamental Structural Types, Page 26; 22. Illustrating Double-Structuring, Page 27; 23. Fundamental Model Types, krw012G Page 28; 24. Formal Model Types, krw011G Page 29; 25. Formal Structural Model Types, krw010G Page 30; 26. Formal, Linear Structural Models, krw009G Page 31; 27. PEIRCE (C.S.): The Value of Formal Logic, phw024D Page 32; References, Page 33.

NOTE: SOME OF THE FILENAMES INCLUDED IN THE LIST ABOVE MIGHT NO LONGER BE CORRECT, SINCE WARFIELD WAS ALWAYS CHANGING FILENAMES.


Additional Info

  • Category: Complexity, Interactive Management (IM), Modeling, Teaching Materials
  • Size: 26 leaves
  • Description: Publishers offprint,
  • Publication Year: 1999
Read 112 times Last modified on Sunday, 19 July 2015 14:40

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