Principles and axioms of organization

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Principles and axioms of organization

HOE Appendix One, “Glossary of Rules for the Viable System” (HOE 1979: 565–567), is the authorised list. Pure VSM — Overview Draft 0.8 — not project canon.

What Beer says

First Principle: “Managerial, operational and environmental varieties, diffusing through an institutional system, tend to equate; they should be designed to do so with minimum damage to people and to cost.” (HOE 1979: 565; p. 97). They “tend to equate”; they “should be designed” to — “it is management’s job to DESIGN the necessary amplifiers and attenuators” (HOE 1979: 97).

First Axiom (body): “The sum of horizontal variety disposed by n operational elements = the sum of vertical variety disposed on the six vertical components of corporate cohesion” (HOE 1979: 217). Those six loops absorb System One’s horizontal variety (HOE 1979: 143).

Second Axiom (glossary): “The variety disposed by System Three resulting from the operation of the First Axiom equals the variety disposed by System Four.” (HOE 1979: 566; p. 298; DTS 1985: 118). Three–Four homeostat = “the organ of ADAPTATION” (DTS 1985: 120).

Third Axiom: “The variety disposed by System Five equals the residual variety generated by the operation of the Second Axiom.” (HOE 1979: 567; DTS 1985: 130). System Five closes what Three and Four leave (HOE 1979: 261).

Where it sits in the model

First Principle: variety engineering (Variety and regulation). First Axiom: cohesion in one recursion (System One vs six vertical channels at System Three). Second: Three–Four (System Four). Third: Five as residual. Law of Cohesion extends the First Axiom across recursions (HOE 1979: 355).

Textual notes

First Principle: body “minimal damage” (HOE 1979: 97) vs appendix “minimum damage” (HOE 1979: 565). First Axiom: body “=” (HOE 1979: 217); glossary “equals” (HOE 1979: 566); DTS “EQUALS” (DTS 1985: 84). Second/Third: body “are equivalent” / “is equivalent to” (HOE 1979: 298); glossary and DTS “equals” (HOE 1979: 566–567; DTS 1985: 118, 130). Six vertical loops: HOE happenstance three + command, Two, audit (HOE 1979: 142–143) ≠ DTS Corporate Intervention, Resource Bargain, operational linkages, environmental intersects, Two, audit (DTS 1985: 81–82).

Punch and Judy

Punch and Judy (Mathis and Heath, v0.5.0 draft) reads the First Principle as resting on the sentence “only variety can absorb variety,” and argues that in Beer’s form it is an instruction to a designer while in Ashby’s it states a bound — a matter the manuscript says calls for corrected footnotes rather than a new experiment (Ch 3). It records Beer conceding that variety cannot be counted absolutely, only matched by state generators, and that no procedure for computing the variety balance was ever built or measured (Ch 12). Chapter 21 marks the necessity-and-sufficiency family as constitutive claims, which the manuscript says a community may hold only if it drops the representational reading whenever it is asked for evidence.

Open points

Ch. 3 wording checks resolved on scans. HOE figure labels for “3*” not checked on figures (ch. 9 todo).

Stafford Beer · Viable System Model · Variety and regulation · System Three · System Four · System Five · Law of Cohesion · The Heart of Enterprise · Part I — Foundations · Part II — The Viable System Model · Punch and Judy — Overview