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One of the problems in addressing complexity issues has been formalizing the intuitive conceptual distinction between the large number of variances in relationships extant in random collections, and the sometimes large, but smaller, number of relationships between elements in systems where constraints (related to correlation of otherwise independent elements) simultaneously reduce the variations from element independence and create distinguishable regimes of more-uniform, or correlated, relationships, or interactions.
Phenomena of 'disorganized complexity' are treated using probability theory and statistical mechanics, while 'organized complexity' deals with phenomena that escape such approaches and confront "dealing simultaneously with a sizable number of factors which are interrelated into an organic whole".Contrast "complicated" where plic (meaning "folded") refers to many layers.A complex system is thereby characterised by its inter-dependencies, whereas a complicated system is characterised by its layers.In Weaver's view, disorganized complexity results from the particular system having a very large number of parts, say millions of parts, or many more.Though the interactions of the parts in a "disorganized complexity" situation can be seen as largely random, the properties of the system as a whole can be understood by using probability and statistical methods.This cookie stores just a session ID; no other information is captured.
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A prime example of disorganized complexity is a gas in a container, with the gas molecules as the parts.
Some would suggest that a system of disorganized complexity may be compared with the (relative) simplicity of planetary orbits – the latter can be predicted by applying Newton's laws of motion.
Complexity characterises the behaviour of a system or model whose components interact in multiple ways and follow local rules, meaning there is no reasonable higher instruction to define the various possible interactions.
The stem of the word "complexity" - complex - combines the Latin roots com (meaning "together") and plex (meaning "woven").
The organized aspect of this form of complexity vis-a-vis to other systems than the subject system can be said to "emerge," without any "guiding hand".