Micromathematics and Macromathematics

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Building on Charles S. Peirce's ideas on symbolic logic and the organization of human knowledge, this is a presentation of a model of information-gathering and processing which will reliably and incrementally increase humanity's storehouse of accurate, usable scientific knowledge. In part, this paper is a protest against current enshrinement of the superficial and insufficient 'artificial intelligence', (a widely utilized methodology which is said to be superficial and insufficient for human needs). Includes discussion of the “Cosmic Partition,” which he introduced at the 1985 SGSR Annual meeting in Los Angeles in his paper "On the Choice of Frames for Systems Studies." 

Presented at IEEE International Conference on Systems, Man and Cybernetics, Atlanta, GA, 14-17 October 1986, this paper includes following illustrations:

Table 1. Broad Types of Inference

Figure 1. A Scale of Belief

Figure 2. Types of Inference

Figure 3. The Structure of Inference

Figure 4. Information Operations.

Figure 5. Inference Processes Embedded in the Phaneron and Influenced by the Residue and the Library.  

In an unpublished 1987 manuscript "Integrative Sciences, Interactive Management, Generic Design, and Social Problem-Solving" Warfield has described MICROMATHEMATICS AND MACROMATHEMATICS as  "a publication in which it is argued that most technical people work with micromathematics, which is the mathematics of the local and suboptimal; while macromathematics is available to work with overview and to structure complex issues and problems. The latter involves the longest lived discipline of all, namely logic, which is now about 1400 years old, and which has an available history and numerous untapped applications."

Dr. Warfield's personal copy of the publisher's offprint was shipped to Fenwick Library Special Collections, George Mason University, Fairfax, VA on 23 October 2000.

A paper offprint of full text is at Fenwick Library, Box 09/21, C0016, SCRC, George Mason University Libraries. There has been difficulty in locating access to copyrighted online version published by IEEE. All searches performed so far reveal the Proceedings volume as NON-EXISTENT. But it does exist, because GMU Libraries have the paper offprint and also a backup scanned copy of the offprint is on Dr. Warfield's home computer. Ordinarily backup scans are not displayed on the Warfield Catalog web page because of copyright restrictions, but as an EXCEPTION, this particular document will be displayed in Warfield Catalog until IEEE Proceedings publication data is clarified so that the title is available from IEEE.ORG.  (r.w. Jan 11, 2018)

 

Additional Info

  • Category: Philosophy, Science, Systems Science, Thought Leaders
  • Size: 312 p
  • Description: Handwritten notes, and 1 typed page
Read 326 times Last modified on Monday, 16 March 2020 17:21

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