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Homoarchy

Homoarchy is a computer science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Homoarchy rather than just read about it. In short: Homoarchy is "the relation of elements to one another when they are rigidly ranked one way only, and thus possess no (or not more than very limited) potential for being unranked or ranked in another or a number of different ways at least without cardinal reshaping of the whole socio-political order." Homoarchy and heterarchy This notion is coupled with the one of heterarchy, defined by Crumley as "the relation of el…

Key takeaways

  • Homoarchy belongs to computer science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Homoarchy to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Homoarchy from memory before moving on to harder problems.

Reference excerpt

Homoarchy is "the relation of elements to one another when they are rigidly ranked one way only, and thus possess no (or not more than very limited) potential for being unranked or ranked in another or a number of different ways at least without cardinal reshaping of the whole socio-political order."

Homoarchy and heterarchy This notion is coupled with the one of heterarchy, defined by Crumley as "the relation of elements to one another when they are unranked or when they possess the potential for being ranked in a number of different ways". Note that heterarchy is not the opposite of any hierarchy all together, but is rather the opposite of "homoarchy".

Homoarchy and hierarchy Homoarchy must not be identified with hierarchy (as well as heterarchy must not be confused with egalitarianism in the proper meaning of the word). In any society both “vertical” and “horizontal” social links may be observed. More so: sometimes it seems too difficult to designate a society as “homoarchic” or “heterarchic” even at the most general level of analysis, like in the cases of the late-ancient Germans and early-medieval “Barbarian kingdoms” in which one can observe the monarchy and quite rigid social hierarchy combined with (at least at the beginning) democratic institutions and procedures (like selection of the king), not less significant for the whole socio-political system's operation. So, it does look like it is impossible to measure degrees of homoarchy and heterarchy in a society with mathematical exactness, for example, in per cent. A purely quantitative approach is also inapplicable here: the presence of, say five hierarchies in a society as an entity does not make it more heterarchic and less homoarchic in comparison with a society with four hierarchies if in the former there is and in the latter there is no one dominant hierarchy. The pathway to evaluation of a society as heterarchic or homoarchic (in either absolute or relative categories) goes through an analysis of it as a whole – as a dynamic system of social hierarchies, and the aim of this analysis in the vein of systems theory should be not to count the hierarchies but to understand the way they are related to each other. Hence, the question which rises at studying a particular society is as follows: are the hierarchies that form the given social system ranked (more or less) rigidly or not? Do, say, two individuals find themselves ranked toward each other the same way in any social context or not?

See also Tree structure

Notes

Bibliography Bondarenko D.M., Grinin L.E., Korotayev A.V. 2002. Alternative Pathways of Social Evolution. Social Evolution & History. Vol. 1, N 1. P. 54-79; Bondarenko D.M. 2005. A Homoarchic Alternative to the Homoarchic State: Benin Kingdom of the 13th – 19th Centuries. Social Evolution & History. Vol. 4, N 2. P. 18-88; Bondarenko D.M. 2006. Homoarchy: A Principle of Culture’s Organization. The 13th – 19th Centuries Benin Kingdom as a Non-State Supercomplex Society. Moscow: KomKniga/Editorial URSS; Bondarenko D.M. 2007. Homoarchy as a Principle of Sociopolitical Organization: An Introduction. . Vol. 102. P. 187–199; Bondarenko D.M. 2007. What Is There in a Word? Heterarchy, Homoarchy and the Difference in Understanding Complexity in the Social Sciences and Complexity Studies. In K.A. Richardson and P. Cilliers (eds.). Explorations in Complexity Thinking: Pre-Proceedings of the 3rd International Workshop on Complexity and Philosophy. Mansfield, MA: ISCE Publishing. P. 35–48; Bondarenko D.M. and A.A. Nemirovskiy (eds.). 2007. Alternativity in Cultural History: Heterarchy and Homoarchy as Evolutionary Trajectories. Third International Conference “Hierarchy and Power in the History of Civilizations”. June 18–21, 2004, Moscow. Selected Papers. Moscow: Center for Civilizational and Regional Studies Press. Cook G.W. 2006. Heterarchy and homoarchy in Maya village politics. Hierarchy and Power in the History of Civilizations, Third International Conference, 2004, Selected Papers. Moscow: RASHN. pp. 69–80.

Worked examples

Example 1 — a first encounter with Homoarchy

Start with the simplest possible case. Write down what Homoarchy claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In computer science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Homoarchy before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Homoarchy ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Homoarchy

In research
Homoarchy appears in computer science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Homoarchy in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Homoarchy is common in secondary-school and first-year university syllabi. It links to neighbouring topics Hierarchy, Networks, Patterns, so understanding it makes those chapters shorter.
In everyday life
Look for Homoarchy outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Homoarchy in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Homoarchy means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Homoarchy out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Homoarchy in simple terms?

Homoarchy is "the relation of elements to one another when they are rigidly ranked one way only, and thus possess no (or not more than very limited) potential for being unranked or ranked in another or a number of different ways at least without cardinal reshaping of the whole socio-political order…

Why does Homoarchy matter?

Because it connects several computer science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Homoarchy?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Homoarchy.

Tags

  • Hierarchy
  • Networks
  • Patterns
  • Social systems concepts
  • Structure

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