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When Leibniz discovered the principle of pre-established harmony behind even and odd numbers, that is, when he found the means of ordering congruence and reciprocity among all counting numbers from the vantage point of a higher unity of principle between power and reason, he had acquired one of the most powerful ways of dealing with conflicting oppositions in war as in peace ever devised by mankind.

What I intend to demonstrate, here, is that the reason behind the ordering of regular numbers reflects, infinitely, the process of reciprocity and congruence of doubly-connected circular action. It is as if God had created within them, and in the human mind, some pre-established cyclical harmonic order of continuity for the purpose of showing mankind how to progress from a lower to a higher manifold. Schiller articulated a similar process to access the principle of reciprocity.

Throughout the entire span of his dialogues, Plato skillfully placed a unique and crucial moment of discovery of principle through which he showed how the mind is able to reach a higher level of creativity, beyond anything it was able to do before. He didn’t do it with a lot of fanfare and fireworks. He did it by taking one step back and two steps forward and called this axiomatic experience of discovery of principle an instantaneous [exaiphnēs (ἐξαίφνης)] moment of eternity.

This exceptional moment of discovery is fundamentally related to experiencing an axiomatic change that takes place inside of your mind whenever a sharp and sudden [exaiphnēs (ἐξαίφνης)] change occurs in your life, producing an unexpected transition to a new, higher, and better manifold of understanding and of thinking, which generally appears as a sudden change of going from a state of perplexity to a state of joyful laughter.

This is a newly edited version of an article, originally published in EIR, on the history of the famous treaty that established the modern idea of cooperation and non-intervention among nations (EIR Vol. 30, No. 21, May 30, 2003). British Prime Minister Tony Blair’s speech in Chicago in 1999, in which he declared that the era of the Treaty of Westphalia was over, opened a period of unceasing wars by major powers on smaller nations. The principles of the 1648 Treaty of Westphalia are needed now more than ever

Follow the pathway of this knotwork with your finger by going two steps forward and one step back, starting your circular action clockwise at one o’clock The motion first starts at F# at one o’clock, then goes down to B# at 4 o’clock, then back up under D# to A at 3 o’clock. Then, tie the four Lydian knots into a single One: [F#, B#, A], [D#, B#, F#], [D#, A, F#], [B#, A, D#]. The One tone that is not there, but which you can hear coming into your mind from the future, is the key of C# Minor, which is the One that provides the unity of Beethoven’s composition; that is, the sudden One over the Many.

Plato’s use of the adverbial expression “suddenly” (exaiphnēs) is an appropriate metaphor for identifying the transformative nature of an “instantaneous” axiomatic change inside of the human mind. Lyndon LaRouche identified this as the transfinite measure of a discovery of principle of going from a lower to a higher manifold. In the Parmenides, Plato qualified such a changing state of mind as a “sudden instantaneous moment” which he identified as the unifying mental action of a One over the Many.

Throughout European history, the primary advocates of such an epistemological function of the human mind have been Thales, Pythagoras, Plato, Nicholas of Cusa, Gottfried Leibniz, and Lyndon LaRouche. These thinkers have used such a timely form of action for the same historical purpose, which is to modify and measure the power of the human mind with respect to God and the infinite for the common benefit and progress of mankind.

In that sense, “suddenly” (exaiphnēs) represents an instantaneous and unforeseen action of change which reflects the state of perplexity of the thinking person at the decisive moment of discovering, not merely the growing capacity of his or her mind at some moment in history, but also, the power of going beyond the limits of the apparent finite domain of knowledge, by measuring the critical steps of an unbounded human transfinite progress; thus, proving by factual demonstration that there are no limits to growth.