Striving Towards the ONE

To see how the three and four might be transcended we begin by looking at Erwin Schrodinger’s observations of cell division.

In his work, What is Life?, Schrodinger is not concerned with investigating the ancient dilemma of three and four, but he describes cell divisions, and in his descriptions one sees that the “triadic” family structure, mother-father-child, is involved with a “tetradic” pattern – as Schrodinger discusses the hereditary “code-script” that rests in the chromosomes, he says:

…this whole four-dimensional pattern is known to be determined by the structure of that one cell, the fertilized egg.

egg

He points out that physical laws “rest on atomic statistics” and their “precision is based on the large number of atoms intervening,” whereas the living organism is under the control of “incredibly small groups of atoms, much too small to display exact statistical laws,” but they play a dominant role, control observable large-scale features, determine important characteristics of its functioning, and “in all this very sharp and very strict biological laws are displayed.” These laws insure that each one is always an event in himself, unto himself.

Here we can see that the three and the four both exist within the one and work together towards becoming one.

Old folk-wisdom has also acknowledged the predicament of the three and the four…

The strangest thing about the dilemma of three and four is that some time ago those on the side of three, embracing Euclidian geometry which says that the whole is equal to the sum of its parts, were contradicted in the nursery:

Humpty Dumpty sat on the wall,

Humpty Dumpty had a great fall.

All the King’s horses and all the King’s men

Couldn’t put Humpty together again.

This bit of wisdom is restated by Kluckhohn, the anthropologist, “A whole is different from the sum of its parts,” and it is restated by Koestler, “A whole is defined by the pattern of relations between its parts, not by the sum of its parts…”

humpty-dumpty

It is also worth noting that the rhyme has also been interpreted as representing the second law of thermodynamics in that after his fall and shattering, the inability of the most powerful men in the world to reassemble Humpty is representative of the high unlikeliness to return him to his previous state of lower entropy as the entropy of an isolated system never decreases.

And in the nursery, those on the side of four, insisting upon the qualitative aspects of the whole, were reminded that time changes the aspects:

Hickory, dickory, dock.

The mouse ran up the clock.

The clock struck one, the mouse ran down.

Hickory, dickory, dock.

In these rhymes both the devotees of three and the devotees of four were given the clue: the whole must be described in terms of one, whole, and one must be seen as a working principle through which as time changes the arrangement of material forces within and without, one remains, itself a unity and the measure of unity.

This is to say, the answer to the dilemma of three and four rests in the answer to the mystery of one. This answer must be given in a mathematical statement that describes the composition and inner operation of one, itself. Jesus stated the Equation of One which must be seen against the briefly sketched background of the dilemma of three and four in order to appreciate the magnitude of His thought, for He transcends the dilemma, giving as the measure of one or wholeness, the number five.

We will begin to look at “Jesus the mathematician” in our next post. Until then, peace.

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A Musical “Number”

music-music-score-favim-com-40948

Merriam-Webster’s Dictionary defines music as “the science or art of ordering tones or sounds in succession, in combination, and in temporal relationships to produce a composition having unity and continuity.” Notice how “science” is used as part of this definition, along with the usual category music falls under, “art.” Any musician knows that music’s aural qualities can be described in terms of numbers, for instance the way rhythm or time is notated – ¾, 4/4, 6/8, etc. Most western music is based on a 12 tone chromatic scale, with numbered intervals denoting the spaces between the tones. There are major thirds, minor thirds, flatted fifths, dominant sevenths, etc. Numbers play a major role in how musicians communicate with one another and notate their compositions. Of course music cannot be reduced to numbers as they leave out the emotional and immaterial impacts of the SOUND, which can lead us to a higher plane. As a musician myself I know the importance of understanding theory, but also understand the fact that theory must be secondary to the actual aural experience and feelings invoked by the tones themselves.

Preston Harold explains the dilemma of the three and four and how it manifests in music.

The dilemma of the three and four is not confined to the world of science. One comes upon the play between three and four in the world of art. Here one sees that musicians, like ancient alchemists, strive to bring together four “elements” to make possible the quinta essentia, the lapis, that brings forth a new element or a whole new statement. Although musicians do not discuss this in terms of the dilemma of three and four, one can hear the play between the two numbers in Beethoven’s Symphony #5 in C Minor.

This symphony begins with a four-note rhythm, described by the composer as “destiny knocking on the door.”  Deems Taylor calls it an “ominous” signal. This signal announces an agitated main theme which changes to suppressed tragedy, to resignation, to a lyrical movement during which the dread reminder of the four-note rhythm is played. It continues as a sinister reminder throughout the work. The third movement is a dream of terror wherein the four-note beat “sounds noble,” but the nobility fades and it becomes a caricature – the restated theme becomes a “macabre joke.” Reduced to its original skeleton, it becomes suppressed tension, increasing in rhythmical intensity, releasing tightly harnessed fury which becomes a bridge to the last movement. Here triplet note rhythms are introduced, artistic unity is achieved, the symphony ends on a one-two-three beat and a magnificent chord in a triumph of grandeur. In that chord is expressed wholeness: one sound based upon the number man’s hand is based upon – five. Abt Vogler says of music:

“I know not if, save in this, such gift is allowed to man

That out of three sounds he frame, not a fourth sound but a star.”

Perhaps Sibelius was trying to say this in another way in his mighty Seventh Symphony – here, symphonic expression is not given in four movements following each after the other, posed the one against the other: one movement encompasses the whole expression that transcends the dilemma of three and four.

The question becomes – how does life transcend its play between triad and tetrad to produce one, wholeness?

This we will begin to explore in our next post. Until then, peace.