NOTE: You have now arrived at the threshold of the third stage of an ongoing investigation, commissioned by economist and statesman Lyndon LaRouche, and conducted by teams from the LaRouche Youth Movement (LYM), into the most crucial breakthroughs made in the development of scientific method. If you have not already reviewed and/or worked through the first two phases of the project, namely, an interactive pedagogy covering Johannes Kepler’s investigation of the principle which governs the motion of heavenly bodies in his Astronomia Nova (New Astronomy), and secondly, a similar exposition of Kepler’s other main work developing the universal quality of this principle in his Harmonices Mundi (The Harmony of the World), it is necessary that you do so, in order to situate the contents of the following report. Also, what is included as a "Preliminary Report" on this website, was the result of the early investigations of this current team, into the foundations upon which all of Gauss's work is based. This set of reports was originally published in May of 2007, but remains crucial material for the reader of this site to look at and explore.
The event of a national election, particularly in the United States, tends to evoke a dramatically increased sense of optimism, as well as a heightened concern about the requirements of leadership, in the minds of the general populus. In this, our present 2008 presidential election, one of the greatest achievements of human civilization thus far lies at stake: the modern sovereign nation state. Like a colossal and majestic mountain range, hewn and carved out by the careful hand of geological time, the concept and realization of the nation state reflects the concerted and passionate efforts of thousands of men and women, over the course of the last several thousand years. Plato, one of the founding fathers of this achievement, calls to our minds one of the most important elements of the nation state in The Republic dialog. To Glaucon he says, "...our city will be governed by us and by you with waking minds, and not, as most cities now which are inhabited and ruled darkly as in a dream by men who fight one another for shadows and wrangle for office as if that were a great good."
In the succeeding discussion of the dialog, as also for our present time, the question becomes, "by what means do we effect this?" As opposed to a flight into the vacuous shadow-world of soulless pleasure and entertainment, known to some by the name of "My Space," (but, like the concept of Satan, may go by many other names including "Bebo", "Facebook", and all of the other less known crevices of the "internets"), Plato urges those studies which will cultivate the mind to better and better contemplate truth. Hearkening back to the knowledge of the Pythagoreans, Plato calls upon the study of Arithmetic, Geometry (and Stereometry), Astronomy, and Harmony, as all crucial to the provoking of thought, and the education of the true leader in society. These concepts are not to be confused with the paltry teachings that may happen to go by the same name in most educational institutions today. Plato's concept of Arithmetic was that which "compels the soul to employ pure thought with a view to truth itself," through the study and paradox of number: the one and the many. In studying Geometry, Plato considered the student to be concerned with "the knowledge of the eternally existent," and in Astronomy, the study of those motions which "can be only apprehended by reason and thought, but not by sight..." And last but not least, "as the eyes are framed for Astronomy, [in this way] the ears are framed for the movements of Harmony."
Young Carl F. Gauss
This concept of the four-fold pursuit of truth has later been referred to as the Pythagorean-Platonic idea of the "Quadrivium." Indeed, in the study of the work and and inner-workings of the mind of Carl F. Gauss, our team has found that his discoveries were produced from a shared view of the nature of the universe. Many have attempted to dissect and compartmentalize the works of Gauss, some attributing his genius to a "super-human" ability to carry out calculations in his head, others attributing it to the sheer size of his brain! We, however, through a long and intense period of chasing down the elusive process of Gauss's mind, after grounding ourselves on the same scientific foundations upon which he stood, have found, increasingly, that Gauss knew the universe to be discoverable, and approached his studies in the same quality of mind as the Quadrivium expresses: a study of the manifold and interconnected characteristics of science, with an eye toward their unity. Here lies the advantage of Gauss's thinking to any of his contemporaries: in the realm of epistemology, rather than any special bag of tricks that he had in excess of everyone else.
Thus, in this spirit, we set you loose into the playground of ideas we have constructed for your delight, as well as for the politically dire necessity of developing a cadre of "waking minds," in the words of Plato, as opposed to those darkened and immoral ones which have led human civilization to the brink of disaster over the span of the recent several decades.
~The "Basement" Crew