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Example of an Elaboration of a Number-based Sequence of Systems

Annex 2 of Representation, Comprehension and Communication of Sets: the Role of Number (1978) Originally published in International Classification, 6 (1979) No. 2, p. 92 - 103

Abstract | Part 1-3 | Notes | References | Annex 1Annex 3 | Annex 4

1-term representation and comprehension
term representation and comprehension
3-term representation and comprehension
4-term representation and comprehension
5-term representation and comprehension
6-term representation and comprehension
7-term representation and comprehension
8-term representation and comprehension
9-term representation and comprehension
10-term representation and comprehension
11-term representation and comprehension
12-term representation and comprehension

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The series below was developed by J. G. Bennett (45) to replace the Aristotelian and Kantian categories, with their dualistic characteristic. His definitions of systematic features are given in Annex 1. The characteristics given here summarize the extensive descriptions of Bennett (vol. 1, pp. 31-48, vol. 3, pp. 14-75).

Comprehension of the systems proceeds in a definite sequence, given their order of emergence into awareness and the minimum number of terms required to exemplify their attributes. Only 12 systems are identified here, although systems of any number of terms may be considered in order to encompass whatever degree of concreteness one is capable of grasping. The limitation is one of understanding.

A particular system never exhausts the possibility of description and comprehension for, whatever number of terms is reached, some degree of abstraction remains and additional terms must be admitted in order to move towards a greater concreteness. Growth in understanding requires recognition of the representational power of successive systems and a deepening appreciation of they significance. As implied here and as stressed in the main text, Bennett's word labels and comments are only indicative and do not encompass or exhaust the meanings to which they refer. Their indicative power may be severely eroded by irrelevant polysemantic associations and increasingly so for the 3-term case and above. Conversely the richness of meaning in a given case is indicated by the symbol complexes which cultures produce to exemplify such systems. The symbols may facilitate a better intuitive grasp of each system as a whole, in contrast to the fragmented comprehension resulting from the following descriptions presented as linear text.o the fragmented comprehension resulting from the following descriptions presented as linear text.

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