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Examples of Integrated, Multi-set Concept Schemes

Annexes to Patterns of N-foldness

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The concept schemes identified here are discussed in the paper on: Patterns of N-foldness; comparison of integrated multi-set concept schemes as forms of presentation. This was prepared for a sub-project meeting of the Forms of Presentation group of the Goals, Processes and Indicators of Development (GPID) project of the United Nations University (UNU). They were published in Patterns of Conceptual Integration. Brussels, UIA, 1984, pp. 161-204 [searchable PDF version]

Each concept scheme is the subject of an Annex listed below. The items within each Annex are ordered according to the number of set elements. This number is given as that portion of each (non-zero) item number before the decimal. The number after the decimal is a sequence number of no significance.

It should be stressed that the exercise is tentative and experimental.

Order within Annexes

Following the brief introductory references to the work[s) from which the items within each Annex were obtained, the items are ordered sequentially by a numeric code structured as follows:

Number before decimal Number after decimal Order of items within such groupings is not significant, except that occasionally related items have been placed together, especially for contextual extracts. Example: 12.2 indicates, the second extract containing information on a concept set of 12 elements. Some references to annex material in the introductory paper are made in the form 17.12.2, meaning Annex 17, item 12.2.

Extract criteria

The extracts within each of the following Annexes were selected in the light of the following considerations:

General contextual extracts (prefix 0)

  1. Brief indication of the general approach.
  2. Remarks touching on the problem of comprehension.
  3. Remarks concerning the use of number or geometry as an ordering aid.

Concept set extracts (non-zero prefix)

  1. Any clear identification of a complete set generally indicated by a reference to a number of elements.
  2. Duplicate references to the same set were included when this might assist comprehension of the set,
  3. Sufficient contextual material was given, when available, to assist comprehension of the significance of the set within the concept scheme.
  4. Extracts which seemed of questionable interest were included if there seemed some possibility that they might later prove to be of signi ficance in relation to corresponding extracts in other annexes.

In general, the extracts were selected in the spirit of a "data gathering exercise", namely they might (or might not) prove to be of interest in continuing, this investigation.


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