The second two auxiliary systems, one for the state and one for religion, establish the dominance of the productive spheres over the non-productive spheres. The final step in the auxiliary system for state is world government which establishes the dominance of the economy over the state. This point is no doubt confusing, but remember that the source of the state's power is the threat and use of violence. A socialist world government would eliminate the need for a military to defend against a then nonexistent enemy. Thus the power source of the state would be eliminated as economically unnecessary. The violence that is used against criminals would be regulated by the economic motives expressed in the social utility function thus establishing the dominance of the economy over the state.

The final step in the religious subsystem is the personal acceptance of the world view discovered by artificial intelligence. This step establishes the dominance of science over religion. Thus the main purpose of the auxiliary systems is first to win independence for the productive spheres and then establish their dominance over the non-productive spheres.

The auxiliary systems develop in close association with the mainline systems. The economic auxiliary system develops parallel to the state's mainline system. The economic auxiliary system finishes with the Greeks development of the market just as the Greeks finished the mainline system for he state with the invention of democracy. Similarly the auxiliary system for the state develops parallel to the mainline economic system. Socialism and world government, the end points of the two systems, develop together. The same relation exists between the auxiliary and mainline systems for science and religion. The auxiliary system for science develops parallel to the mainline system for religion.

Both systems are completed in the early modern period with the establishment of civil liberty and empiricism. Similarly the religious auxiliary system develops parallel to the scientific mainline system. Both systems end at the final point in the system optimalism and the acceptance of the scientific view developed by artificial intelligence. In conclusion each physical sphere's auxiliary system develops parallel to the other physical spheres mainline system and each intellectual sphere's auxiliary system develops parallel to the other intellectual sphere's mainline system.

There are four steps in an auxiliary system (1) specialization, (2) an educational institution (3) specialists with growing independence, in the case of a productive sphere, or growing dependence, in the case of a non-productive sphere, (4) an institutional change giving independence to a productive sphere or establishing dependence for a non-productive sphere. The first three steps coincide roughly to the first three steps in the parallel mainline system while the last step coincides roughly with the last step in the mainline system. The third step, specialists with growing independence or dependence, fills most of the period between the second and eighth steps in the mainline system. The close association between the mainline and auxiliary systems is not accidental. The steps in the mainline system are often controlling those in the auxiliary.

An interesting point is that the mainline systems rationalize the ends of power for each specialty while the auxiliary systems rationalize the means of power. For example the means in economics is the production of goods, the objective or end is the consumption of goods. Socialism will rationalize the objective of economics by arranging the rules for the distribution of goods so as to maximize the social utility function. The market rationalizes the production of goods by forcing the producer through competition to adopt the most efficient mode of production. In this manner the means to economic power are rationalized.

1. Specialization
2. Educational institution
3. Partially independent or dependent specialist
4. Institution establishing independence or dependence

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