The Principle of Duality is the first idea that emerges in consciousness when attempting to develop a mathematical model of the psychodynamics of society, explaining what is causing scientists and technologists to drive the pace of change in society at unprecedented exponential rates of acceleration.

It has evolved from the principle of duality in Boolean logic and in projective and inversive geometry, drawing on the intuitive concept of set, as a way of grouping similar ideas. In Integral Relational Logic, the Principle of Duality states, A complete conceptual model of the manifest Universe consists entirely of dual sets.

But is this proposition true? Well, sometimes groups of data elements don’t have a common property, so they form a miscellaneous set that does not have an opposite. So we can put all those occasions when the Principle of Duality (D) is true and false into dual sets proving that it is always irrefutably true, illustrated in this diagram.

There is thus a primary-secondary relationship between the truth and falsity of the Principle of Duality, which resolves its essential paradoxical nature, where D and not-D are equally valid, whether they are complementary or contradictory.

Furthermore, those occasions when a primary-secondary relationship holds between opposites are duals of those when opposites are in equal relationship, once again proving the irrefutable, universal truth of the Principle of Duality, which becomes the Principle of Unity, when the concept of the Absolute is included in reasoning and brought into the picture.