“Despite the importance of systems concepts and the attention that they have received and are receiving, we do not yet have a unified or integrated set (i. e., a system) of such concepts. Different terms are used to refer to the same thing and the same term is used to refer to different things. This state is aggravated by the fact that the literature of systems research is widely dispersed and is therefore difficult to track. Researchers in a wide variety of disciplines and interdisciplines are contributing to the conceptual development of the systems sciences but these contributions are not as interactive and additive as they might be.”

As cited in: Journal of systems management. Vol. 25, p. 39. Association for Systems Management, 1974.
1970s, Towards a System of Systems Concepts, 1971

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Russell L. Ackoff 70
Scientist 1919–2009

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This observation immediately suggests a close parallel between the concept of a system and the development of the mathematical concept of a set. Given any specific aggregate of things; e. g., five oranges, three sticks, five fingers, there are some properties of the aggregate which depend on the specific nature of the things of which the aggregate is composed. There are others which are totally independent of this and depend only on the "set-ness" of the aggregate. The most prominent of these is what we can call the cardinality of the aggregate…
It should now be clear that system hood is related to thinghood in much the same way as set-ness is related to thinghood. Likewise, what we generally call system properties are related to systemhood in the same way as cardinality is related to set-ness. But systemhood is different from both set-ness and from thinghood; it is an independent category.”

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