Norbert Brainin On Motivführung
by Lyndon H. LaRouche, Jr.
Lyndon LaRouche (left) and Norbert Brainin, in 1987.
This article is reprinted from the Winter 1995 issue of FIDELIO Magazine.
Norbert Brainin presented the notion of Motivführung to me, through a mutual friend, just over four years ago. Summarily, this came about under the following circumstances.
During 1990, I had posed to my collaborators the proposition, that the benchmark for the organization of the second book of the Manual on the Rudiments of Tuning and Registration1 ought to be the revolutionary change in the structure of musical composition represented by the comparison of the work of Josef Haydn to his predecessor Carl Philip Emmanuel Bach. Shortly after that, cellist Renée Sigerson had travelled to Germany, where she reported my proposal to Norbert Brainin. As Mrs. Sigerson reported this to me shortly afterward, Mr. Brainin had exclaimed, Motivführung, and followed that with an explanation of his meaning of that term.
My reaction to Mrs. Sigersons report of this exchange, was one of great excitement.
During the late 1940s, I had first learned what every student of the Classical keyboard repertoire knows as the signal debt of Wolfgang Amadeus Mozart to Johann Sebastian Bachs A Musical Offering. For the keyboard repertoire, the key point of reference is Mozarts K. 475 Fantasy, prefaced to the K. 457 Sonata. From that point on, the K. 475 Fantasy is the most frequent point of variously direct and indirect reference met in the major keyboard and other compositions of Mozart, Beethoven, Schubert, and Brahms, among others.
Brainins identification of the echoing of the Haydn Russian Quartets, notably Opus 33, No. 3, in the new method of composition presented by Mozarts six Haydn Quartets, transformed everything I knew about the implications of the Mozart K. 475 Fantasy. Putting those implications together with Brainins Motivführung, revolutionized everything I knew about music axiomatically. Within weeks of receiving Renée Sigersons report of the discussion in Germany, each nook and cranny of my previous knowledge of motivic thorough-composition was completely overhauled.
The result is to be recognized readily in a reading of my Mozarts 1782-1786 Revolution in Music, published in the Winter 1992 edition of the Fidelio quarterly [Vol. I, No. 4].
Axioms and Principles
Prior to 1952, I had made what has turned out to have been one of the most important scientific discoveries of this century, a fundamental principle of the science of physical economy. This discovery has been summarized in various locations over the years, most recently in Why Most Nobel Prize Economists Are Quacks2 and Non-Newtonian Mathematics for Economists. This discovery led, in turn, to a fresh view of the discoveries of Georg Cantor, and, that, in turn, to a fresh view of the most fundamental discovery of Bernhard Riemann, as set forth in his famous Hypotheses dissertation.3 In short, it was not a study of Riemanns dissertation which led me to my discovery in economics, but, rather, my discovery in economics made possible a revolutionized view of the implications of Riemanns discovery for economics. It was as if Riemann had written his Hypotheses dissertation as a contribution to the application of my discoveries in physical economy. Thus, my work is known by the epithet LaRouche-Riemann Method, rather than Riemann-LaRouche Method.
Similarly, just as my discovery in economics revolutionized Riemanns discovery, so, it was Norbert Brainins discovery which revolutionized my knowledge of music. My earlier understanding of the implications of Mozarts reworking of Bachs A Musical Offering, as in his K. 475 Fantasy, or Beethovens Opus 111 Sonata, was the relatively commonplace knowledge of all qualified musicians. The addition of one ingredient, Brainins identification of the implications of the germ-principle in motivic thorough-composition, transformed everything which I knew of music up to that time.
Norbert Brainins revolutionizing my knowledge of music, in that way, like my own revolutionizing of the implications of Riemanns Hypotheses dissertation, involves the addition of a fundamental principle to the implied set of axioms underlying an existing body of knowledge. The addition of one principle revolutionizes everything.
Briefly, then, the following qualifying remarks are to be added here.
Every effort to represent an existing body of knowledge as logically consistent, restricts all acceptable propositions in that field to an array of theorems which are each and all consistent with one another, and also consistent with an underlying set of axioms, analogous to the axioms of a formal classroom geometry. Such a set of axioms is known among literate persons as an hypothesis; this is the usage of the term hypothesis by both Plato and Bernhard Riemann, for example, in contrast to the illiterate use of the same term in Isaac Newtons famous hypotheses non fingo. Any change within the set of axioms associated with a specific hypothesis, produces a second hypothesis which is absolutely inconsistent with the first.
In rigorous scientific usage, the distinction between an ordinary discovery and a fundamental discovery, is that every fundamental discovery represents a change in the existing set of axioms, and, therefore, the generation of a new hypothesis. In mathematics, such a change in hypothesis marks an absolute mathematical discontinuity (contrary to the mystical, reductionist sleight-of-hand, respecting discontinuities, of Leonhard Euler, Cauchy, the Bourbaki group, et al.). Thus, for me, Norbert Brainins presentation of his view of Motivführung represented a sweeping discovery, a new axiom, and, therefore, a new hypothesis.
Of all such discoveries, whether one initiates them oneself, or learns them from another, one echoes Archimedes, crying out, Eureka! All is changed, as if in a single instant.
My distinctive advantage in receiving this knowledge from Brainin, lay in the fact, that unlike most who shared my earlier knowledge of the musical side of the matter, my prior discoveries in economic science supplied me relevant knowledge of the human creative-mental processes. Thus, my first published presentation on this subject appeared as the second of a series of articles on the principle of metaphor in science. So, I have situated the implications of Brainins representation of that principle of composition since.
|* Bread-scholars. Friedrich Schillers derisive characterization of brain-dead academic careerists|
1. See, A Manual on the Rudiments of Tuning and Registration, Book I, ed. by John Sigerson and Kathy Wolfe (Washington, D.C.: Schiller Institute, 1992). The project, of writing a two-volume manual, targetted by design for the use of music teachers and advanced students, was begun in 1985, but delayed by unexpected interruptions of the 1986-89 interval. The commitment to complete the then almost-finished Book I (on the singing voice), and to proceed with Book II (on the instruments), was summoned in 1990.
2. Executive Intelligence Review, Vol. 22, No. 30, July 28, 1995.
3. Bernhard Riemann, On the Hypotheses Which Underlie Geometry (1854). See the authors Non-Newtonian Mathematics for Economists,