THE 3n+1 CONJECTURE: AN INTRIGUING PROBLEM TO INVESTIGATE

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The 3n+1 conjecture represents an intriguing mathematical problem, because it is simple and yet, it turns out to be unsolvable. In fact, its very existence is a challenge to all mathematicians because it appears to be both a complete waste of time and a beautiful pathway to humility at the same time. Generally known as the Collatz conjecture, it is also known as the Thwaites conjecture, the Kakutani’s problem, the Ulam conjecture, the Hasse’s algorithm, or the Syracuse problem.

A GLIMPSE INTO GOD’S MIND BY THE ‘CITIZENS OF HEAVEN’

THE STRATEGIC EPISTEMOLOGY OF LEIBNIZ’S MONADOLOGY

Gottfried Wilhelm Leibniz’s Monadology is not an introduction to his philosophy; it is rather a conclusive epistemological assertion of the political maturity of his time, the highest expression of Leibniz’s own optimism about the human mind created in the Image of God.

Monadology is the domain where optimism and optimization of increasing relative population density coincide in the creative process itself; that is, where human identity begins to emerge from national citizenry to become universal citizenry. However, the only way to capture the significance of such a strategic act of political maturity is to apply it to your own mind, performatively, for the benefit of the common purpose of mankind.

Let’s discuss Leibniz’s Monadology from the view of an axiomatic relationship between three different epistemological manifolds: the manifold of the Monad of natural Souls and of human Spirits, the manifold of the Divine Monad, and the manifold of the World Monad. From that vantage point, the Monadology is the elaboration of a Universal Noosphere-Biosphere-Geosphere multiply-connected manifold reflecting itself back into the domain of creativity in the Image of the Mind of God.