Presentation Q1-8
Presented on: Saturday, February 21, 2015
Presented by: Roger Weir
The Future and The New Past
Presentation 8 of 52
Presentation 1-8
Presented by Roger Weir
Saturday, February 21, 2015
Transcript:
Let's come to the 8th presentation of 2015. And the title for this year's 52 presentations as a set, as a series that has its groups of 13, four times. Making a grand set of 52, which fits into seven previous years of sets. So that there are eight sets to make up a very large harmonic that complements the 42 years of developing a paired year program called The Learning Civilization. Finally, was called that. So that all together, this body of work, as one would call it, is about 50 years. Which is a jubilee. Seven times seven is 49. Seven times seven as a Sabbath of Sabbaths. And then cubed makes a jubilee, which is a very transcendental set, as Immanuel Kant would have written it.
We're looking now at the way in which there is a symmetry to an ingress, an integral, and an egress, a differential, that paired, tuned, to make a congress, a complementarity. One of the most poignant ways in which this has been expressed over the last 200 years, pair of centuries, is the way in which a mathematic has matured immensely because of the historical dimension. As a seventh dimension to space-time, has had the benefit of a population of artists in language who express themselves in mathematics. A mathematic is really an art. And is a part kin to a poetic.
And so, it is a quality where the poetic literally caught fire, as they say. Began to have not only the countdown, but the launch about 200 years ago. And one of the great figures at that time was Joseph Fourier. Uh, he lived from 1768 to 1830. This is a sketch of his, uh, visage at the time from life and is in Grenoble and the library there in Paris, uh, France. Most of his work was done, but he was exiled for a number of years to, um, Grenoble and from there to Lyon. And finally, towards the end of his life, the great Joseph Fourier was allowed back into Paris. Which is the characteristic of the time where the enlightenment of the 18th century, the 1700's curdled in 1789 into the cutoff of the French Revolution. And Foyer was arrested as being not fully approved by the new regime and imprisoned. The first of several imprisonments in his life. But Foray was a master mathematician, and he was spared the guillotine. Three very prominent revolution accepted mathematicians appealed to the bickering council that had the power, and he was, uh, spared.
The French Revolution devolved and devolved until it became a question of not just the directorate, but of the terror. And it proved, as in our time in 2015, that terror is not sustainable and its complement, a directorate is not effective against a terror, the terror. And so, one of the time-honored classical resolutions of that was to bring back effectively an empire. And that French empire was brought back by Napoleon. And the Emperor refused to be called the emperor. And, uh, wanted to be called an English first citizen. Because that first citizen was the archetypal touchstone of the Roman Empire, founded by Augustus Caesar, in which he refused to be called the dictator for life. As his, uh, uncle once removed, Julius Caesar had been awarded. Nor to be called a King. Nor to be called a King of Kings an Emperor, but to be called the first citizen. In Latin, the Prince, the Principia, the first. That whoever you listen to, listen to me first. Then make a decision on the basis that your baseline referent is what I have said.
And so, the Roman Empire was not called the Empire right away. It was called the Principate. It is the structural organization in this grand integral that is now called the Principate and the world order is based upon our road network, our law code, and our ability to back it up with military legions that are professionally trained to win. You may fight glorious battles and kill a whole legion. In fact, there was a time in Germany where a tremendous force of Teutonic warriors slew in one day three Roman legions. And the Roman Empire, the Principate, response was to send not only more legions but to be merciless. And they reclaimed Germany to leave a deep scar in what in Latin is Germania and the extension of Germania.
The account is delivered by the Great Roman, the greatest of Roman historians, Tacitus in his Germania. And the complement to ordering into the world order Germany was to extend that order finally to the British Isles. And Tacitus wrote an account called, in Latin the little book that's often reprinted with The Germania is The Agricola. Because uh, Agricola was the master Roman general in charge of reducing Britain to becoming a Roman province. And Agricola was the father-in-law of Tacitus, so he knew very well. But the most famous volumes by Tacitus are a pair of major works, one called The Histories. Uh, the other called The Annals. And The Annals deal with the 1st century A.D., as we recognize the time period now. And The Histories of the whole development that somewhat preceded and somewhat followed. And so, the whole complication could be understood as a history. Much like the classic history of Herodotus in Greek and of Thucydides in Greek. That those pairs were like the model some 500 years before Tacitus. That one has to be able to take a look at a very comprehensive retuning of civilization. And it is this retuning of civilization that gives the world finally a world order. All of that is an integral empire order exclusively.
What escaped so narrowly, and only for a couple of 300 years was that the complementarity of the integral, which is the differential conscious ecology, generated spontaneously out of vision and expressed primordially from a fifth-dimension vision, a quintessential universal dimension into a sixth dimension of art. Whereas the first dimension of time, spontaneously coming into an integral emergence from a fertile zero field, delivers the power of being, of existing, of continuing to exist, intriguingly, by ritual. It is only with art as a sixth dimension that dimensions two, three and four bring in time so that the integral foursome, the four-square frame of the integral of the universe, of the world, of what is happening in the world, regardless of the picture, it is framed in this way and will be. That emphasis is completely transformable by the free differential consciousness of vision as an infinite field that very easily has a complementarity with the zero field of nature. And that vision and nature together make art creatively imaginative and not just a structure of the mind that has an imagination. A sorting out integrally of the image base of ritual with the language development of themes and types and archetypes of images and feelings that come out to augment and to communicate and to express mythically that horizon where the ritual basis now has given blossom to this meaningful order of culture. Which then is integrated by ideas, by structures of the imagination, structures of the memory into the mind, which now symbols, integrals, the entire cycle in a way which will hold. And hold it does ever increasingly. But at the same time increasingly is vulnerable to regressions. Because a cycle that is repeated is by the very clever, understood preemptively by a few who then garner for themselves all of the sources of power the ritual base and comportment of things and actions in their existence. The myths that control the feelings and the images. And the language spoken into the integrals of the symbols that in the darkness bind them. A phrase from Tolkien's Lord of the Rings. Of Sauron, who will control all for as long as anyone can see.
That distance of seeing, of absolute power, extends no farther than the first moment of entry into vision, which in its differential instantly out of the spontaneity of infinity begins the transform that dissolves that order spontaneously into an entry into the inconceivable. And it is this quality that then the visionary differential consciousness has a whole ecology of not only relief. Unto rest. And not only freedom unter...unto inquiry and exploring but comes eventually into a grand complementarity that allows for the dimensions within which one can begin to understand the tuned paired-ness in all of its major sets that are not limited to types but regroup into clusters called archetypes. But not even limited by archetypes because in the integral psychology, the study of the psyche, the study of, uh, the mythic experience brought together by the symbols on the basis of understanding exactly the rituals. And then we have commandeered the order. Nature in its zero field is unaffected by all of that. Infinity, in its infinite field is completely accepting and absorbing all that into transforms that continue to transform.
This is a little orange paperback published by Princeton University Press 1949. An epochal year. 1949 was the time that we are coming to understand was the realization that no matter how powerful this world order is, there are other worlds. There are other powers. There are other beings who are very advanced in their ordering of power. And that they have arrived. The authors of this volume, Fourier Transforms. One of them is an interesting figure in his own right. Initial S Bochner. He was of the, uh. U.S. Naval Research Group. And it is the U.S. Naval Research Group, the head of it that headed the Majestic 12, which was in charge Supra government by Washington D.C. By order of the President Harry Truman. Counseled by those very powerful people around him, including the head of the Navy. And that naval research was the lead of how one is going to have to deal with the alien issue on the basis of power. And can it possibly be worked out that there is a power sharing at best until we achieve parity. And then we shall see.
The other author is Initial K. Chandrasekharan from India. One of the world's great mathematical geniuses. And he was at the Institute of Advanced Study in Princeton. Not of Princeton University, but adjunct to it. And the first person selected, invited, chosen, brought in to be the first person of the Advanced Studies Institute was Albert Einstein. Followed by the second under Einstein's encouragement, the great mathematician Hermann Weyl. And while Einstein, famous for the two theories of relativity specific in general and many other developments of genius, Hermann Weyl also a great genius in 1928, published his theory of types. In the theory of groups that one can sidestep the language of a type and a typology into the trans phenomenon of grouping. So that one now has not just archetypes of types, but one can have clusters of groups. And that they then cluster in a way in which they can form a series. And that that series in its grouping is capable of transforming so that one has the mutability of types and eventually the understanding of the mutability of archetypes. And all of this in the one paragraph preface.
This is a track dealing with Fourier Transforms and some topics naturally connected with them. And although the material included is familiar, if not classical, there is not much of a duplication with other books and the field. This is the first one. Acknowledgement of thanks is due from Bochner to the Office of Naval Research and from Chandrasekaran to the Institute for Advanced Study, November 1948.
About the right time. This orange paperback is venerable. Um, this copy I bought, uh, used and was originally the property of a mathematician at UCLA. Uh, a, an engineering mathematician, John L. Barnes UCLA Engineering Department. And he bought it in 1948. And I found it through a very famous rare book seller for science material, Geoff Webber, W-e-b-b-e-r. And a very good friend.
In the series of orange paperbacks, they were all first edition like this. I'll bring some more next week. Annals of Mathematics Studies: Volume Three Consistency and the Continuum Hypothesis by Kurt Gödel. Finite-Dimensional Vector Spaces by Paul Halmos. Introduction to Nonlinear Mechanics Lectures on Differential Equations by Solomon Lefschetz. Very famous. Topological Methods in the Theory of Functions of a Complex Variable. Transcendental Numbers. A Unified Theory of Special Functions.
And this one number 19, Fourier Transforms. And after it Lefschetz Contributions to the Theory of Nonlinear Oscillations, like an oscillation over a thruster in Buckaroo Banzai. Allowing you to go to the eighth dimension under contention by terrorists of the eighth dimension, in our four-dimensional universe. And it takes something special not to get involved to the demise of ourselves. And those two, Number 19, Number 20 on the Contribution to the Theory of Nonlinear Oscillations, 21 and 22 were volumes one and two of Functional Operators by John von Neumann.
Some of the most brilliant mathematicians of all time focused here in the Princeton orange paperback series. Right at the time when the 1940's was turning into the 1950's. When there was a cusp in the first decade after the atomic bombs ending World War Two. That first decade of the atomic age is so catastrophic that it even dwarfs the previous decade from 1935 to 1945, which already was catastrophic. So that the decade after is best called super catastrophic. The following decade from 1955 to 1965, must then be characterized by an excessive language. And we can call that decade hyper catastrophic.
What is catastrophic? Hyper. Super. Terror. Itself enough is the way in which the 20th century came not only unraveled but began to dissolve in a way which characteristic to someone keeping track of time forms of civilization was able to track throughout the entire 19th century and in the 20th century became aggravated and asymptotic in terms of the dissolving of any integral limited order whatsoever. So that a zero field and an infinite field in complementarity as the field of the real is the viable reality within which we have been for some while and must learn to live on those vast dimensions.
We're going to take a little break soon.
Fourier and one of the characteristic books that you can buy in any technical bookstore in the world. This was bought at Caltech. I bought it in 1997 when it first came out. Fourier Series and Integral Transforms. Uh, the two authors of this, uh, volume, published by Cambridge University Press, originally here in paperback. Uh, Allan Pinkus and Samy Zafrany, who are at, were at the Technion, the Israel Institute of Technology. So, the Institute of Advanced Studies, the Israel Institute of Technology, separated by just about 50 years. Is a way of sandwiching, of pairing, of putting together the sound of two hands clapping. There is so much to learn. There is no time to not learn. Learning itself brings into play dimensions that allow for time to creatively not only extend but expand. Not only time to not only extend and expand, but because time as the energy of the first dimension confers upon the other three dimensions of space, the ability to expand and to continue to occur. And if we wish to live, we must tune ourselves to the sets of a time space expanding cosmos that not only has an ongoing-ness but has a continuity. And not only a structure that will hold, but its annuity, where all of the transforms can continue to have a stability.
Let's take a little break and we'll come back.
END OF SIDE ONE
Let's come back and we'll maintain the continuity with the first part.
For those who were in engineering at universities in the 1950's, like myself, University of Wisconsin. When we bought our slide rules, we did not go to the university bookstore we went to the engineering department bookstore. And there were all the Dover paperbacks on science and engineering that were not in the university bookstore but we're in the engineering bookstore. Copies of this Dover paperback were available since 1950, and I remember seeing it in 1958 the University of Wisconsin Engineering Bookstore. And among the course volumes that I bought on thermal Ionic emissivity of molten metals for metallurgy. And I bought a copy of this. This is a later printing. An Introduction to the Theory of Fourier Series and Integrals. Fourier's series is as famous as the theory of relativity. And it is the polar bear on the tip of the iceberg that is the whole development of the transforms of mathematics over the previous 200 years.
When our carrier wave of 1991 had its reference wave in 1650 there might have been a couple of handfuls of necessary books on mathematics. The Development of, uh, Logarithms in England and a few other things. Classics. Translations from the Greek, the Alexandrian mathematicians and so forth. Archimedes.
In the late 1700's, in the early 1800's, it leapt up so that a good bookcase would be stuffed with important books on mathematics. And within another generation you would have had to have and began to then did have whole studies with bookshelves lined. And now you have whole university libraries on mathematics growing asymptotically, not only every year, every day.
This volume was First Edition 1906 Fourier Series and Integrals. Then it was revised in 1921 because everything was really heating up. And by 1930 it had to have a third edition already. And then it jumped in the 1930's to become almost asymptotic by then, the 1950 reprint by Dover was, um, of the third edition, because by that time all of the furthering of additions would have required too many books, too many bookshelves, too many bookcases. You couldn't put it into a volume. Though some bravely like, uh, John R. Newman, tried to make a history of mathematics and four volumes just in 2015 being reprinted by the collector rare book publisher Easton Press for I think $500 for a set. I bought a used copy of a set in, uh, the early 1960's. I think I paid about $15 at the time and I'm very comfortable with it.
This book was published in 1941, Fourier Series and Boundary Value Problems. Um, the, uh, author, Ruel, uh, Churchill associate professor of Mathematics University of Michigan, Ann Arbor. About the time that I began to be jumpstarted into awareness, 1941.
Those engineering shelves of Dover paperbacks included The Theory of Functions of a Real Variable and The theory of Fourier Series. Or later Dover changed its covers, Fourier Series and Orthogonal Functions. And one has a handbook of Fourier theorems, uh, towards the end of the 20th century or Fourier Optics, uh, and Introduction, and on it goes. Can go.
Just being reprinted finally, are some of the cursory all overview volumes of Fourier's 20 volume set on ancient Egyptian knowledge and archaeology because he was in charge of the scientific inquiry by several hundred savants under Napoleon who invaded Egypt and made Fourier the head of the Cairo Institute in Egyptology. Awarded him with a tremendous multi starburst metal with the ribbon and so forth as a hero of their revolution that's still going on.
There would have been no Fourier without French mathematics having been completely transformed. And that's because ostensibly, of Sir Isaac Newton. The first citizen of the referent wave of the transform of civilization. His book, uh, was called **inaudible word or two** Principia Mathematica. He is the first citizen of mathematics. 1687. It just established. It took him a while himself with all of his incredible genius to do the refining, the new additions and so forth. Until the third edition, of course. The original always has like a grandfather quality or grandmother quality. That finally is where one can hear, see, vision, and learn.
Newton was so alone on the scalar of geniuses. He was like a Robinson Crusoe of science and mathematics. Marooned on a world that was not civilized at all. But he, like Robinson Crusoe had to learn to make almost everything for himself. He made his own telescope, the Newtonian style of telescope. And many other things. He was a universal genius. When he was finally recommended out of the rural countryside of Lincolnshire to go up to Cambridge University in Cambridge, he was astounded at what he found. That everyone there was interested in him and what he was doing. Because the learning inquiry was beginning to catch steam. Not only were the gears turning, but the intermeshing of gears to make a pattern that became a technology.
And Newton was glad to find a man Friday that he could confide in. That was his mathematical mentor at Cambridge, who immediately, when he was teaching Isaac Newton, the young Isaac Newton, some advanced mathematics. Newton in months outstripped his tutor. His tutor was Isaac Barrow. And Barrow is one of the best mathematicians in the world at the time. In fact, Cambridge University made him made a new chair for Isaac Barrow, the Lucasian Chair of mathematics at Cambridge. Barrow only held it for a decade or so and then passed early and the chair went to Sir Isaac Newton. Later, Sir Isaac went to from Isaac Barrow to Isaac Newton. Today, 2015, that Lucasian chair of Mathematics belongs, still belongs, a long time has belonged to Stephen Hawking. And the Newton Institute associated with that was the university through the Lucasian chair, etc., sponsored a great dialogue between Hawking and his mentor, Roger Penrose, in a great six-part debate on the nature of reality and the cosmos, etc., and mathematics and so forth and filmed everything. I'll bring the original Princeton University publication of the videos of those six. And of course, the quote, juice, of it was put out into a slim volume. And I'll bring that slim volume as well.
That was a generation ago. There are no institutes in the world now to host what is needed and necessary for learning in so many dimensional differential and kaleidoscopic tensors, not just vectors in space. Not even in a mental space. But the way in which the tunable of a minimum of a pair of vectors give an Einsteinian tensor. Not just the onwards and the upwards, but the outwards of the differential consciousness in expansion and the cosmic import of its kaleidoscopic historical consciousness.
The big jump and jump it was, quantum jump it was. For Newton was under the beginnings when Barrow began to recognize this is someone really not just special, but extra special. He had gone up to, uh, Cambridge in 1661. Barrow had been made Lucasian professor in 1660. Why all of a sudden all of this? Because the commandeering of England under a tyranny of Protestant reformers under Cromwell and so forth, had frozen everything. They had torn down the old monasteries. They had torn down Glastonbury Cathedral. Made ruins out of it. We will only have our people's Power Committee to decide what is what and who is who. All overthrown. And Charles the second was brought in from exile, and the period is called the Restoration. Before the Enlightenment, there is the Restoration.
And after the Enlightenment there is the Romantic Revolution, which we haven't gotten to yet in our discussion today and probably will be a little down the series, maybe next week.
The quality that interceded, that pulled the trigger on the genius quantum jump outburst of Newton came because Cambridge University was shut down in 1665 because of plague. The plague not only ravaged Cambridge, but all of England, especially London. And the person who was in London who wrote the great book on the Journal of a Plague Year in London was Daniel Defoe, who had written Robinson Crusoe. Anyone who read Robinson Crusoe would have read Journal of a Plague Year as well. They're both still in print. They've been in print all this time.
The recognition of Newton as a Robinson Crusoe marooned on an island of his own except that there was a man Friday that was contentious with that Caruso, with that Newton out of over defensiveness and those who were defending Newton were very jealous of this other man Friday would be. And his name was Leibnitz. He was German. Oh, German. Well, he isn't English. Leibnitz whose patron became the King of England. George. Yes. The House of Windsor, direct from Hanover. And Germania took over the British crown. Yes. But they did not bring Leibnitz along because George was very jealous, because Leibnitz was the tutor to his wife and his daughter. And they were becoming very independent women. They were learning much more than George would have been capable of even beginning to understand in reduced outline.
So, Leibnitz was left like a Robinson Crusoe himself, like a Friday without the Robinson Crusoe in the Royal Library in Hanover in Germany. Stay there. You can do all the studying you want, but you're not going to publish. You're not going to become famous. And you're not going to influence anybody or anything. And to this day, 2015, late February, only now are the unpublished works of Leibnitz after more than 300 years starting to be published. Where are they going to be published? They are being published. Yale University Press. The Leibnitz series. I think there are four or five volumes out. There'll be dozens.
This is part of the hyper catastrophic muffling of the very voices of kaleidoscopic consciousness in the field of differential consciousness that are not only essential but quintessential to the seventh dimension beyond. When you look at, as we did just cursory peel and the first part Fourier Transforms, uh, Bochner and Chandrasekaran. Chandrasekaran the major figure here. Um, the universal genius. Chapter one Just the first couple of lines. Oh, yes. It starts with mathematics. Let's read it out loud and see if it can be read out loud so that quintessential visionary consciousness can be accessed through the prism of an artist to enter into the kaleidoscopic conscious trance flow of history. Uh, they always use a symbol that's like a complex S. Uh, one underlined elementary properties, you have to begin with elements.
The Fourier Transforms of f parentheses x function of abstract x, function of any x is by definition the functional and then the mathematical equation that states in mathematic superior in Fourier Transform dialect. On the left is the Greek letter. All mathematics, by the way, has a lot of Greek letters. Amazing. Someone at, uh, Caltech wisely noted, overheard at one time, a generation or two ago. Uh, well, after all, we're all still Pythagoreans. Phi P, and then the parentheses is empty. There is nothing written in that parentheses, but the parentheses is there marking that this is a boundary of expression that has zero on entries...entrees. It's empty, yet it is real. Understand it is empty, but mathematically it is considered real. And Phi P, the parentheses is times the emptiness equals. Yes, it's an equal sign. And then there is the elongated. S for the way in which a calculus is stated, integrally, at the top of the great extended S for that integral is, uh, an infinity sign. And at the bottom of it is a negative infinity sign. Do you know the word? Whoa? Whoa.
And then furthering because all of this is times and so you don't have to put it in. You just nestle it together because it's a continuity, because calculus is about the continuity and it's about the annuity that obtains in the continuity. Otherwise, you can't get from 0 to 1 or from 1 to 0 in any way. But if you go, go in with an expanded dimensionality there are exactly an infinitesimally measurable, identifiable infinite points in between one and zero or zero and one. That's how you calculate. That the integral has a differential complement and that together in that complementarity we can be as exacting as we ever want to be about any step or stage or decimal or fraction in between. In fact, fractions come into play later on.
So, Phi P parentheses zero equals integral infinity minus infinity. The next letter is E with a sub I upper one a Greek alpha X. One alpha X alpha as the abstract mathematic symbolic expression translucent that we're dealing now with any exact case whatsoever. And then F for function parentheses of X. DX. And the proviso underneath it immediately is that the Greek alpha. Alpha being a real number. As long as there is a real number, no matter how infinitesimally small or infinitely large, one can compute. One can calculate. One can express. And you can build equipment and operators who can utilize it.
The simplest class of functions F parentheses X for which it can be introduced is the Liebig Lévesque, uh, who is a famous, uh, mathematician of Transforms Levesque. The simplest class of functions function of X for which it can be introduced into the best class L sub one on, parenthesizes, minus infinity comma infinity. 1948.
Back to Fourier who by the late 1700's was already universal genius. Lived until 1830. Mostly in exile when he wasn't being touted as the great head of a Napol...Napoleonic advance of empire to making new civilization that already in the French Revolution it said, time in your calendar is over. And we start with year one.
The crucial flaw in the French Revolution that turned into the directorate and then the terror and then the empire of Napoleon. All of which crumbled into a mass, was that they started with the year one. If you start with one, you have sabotage. Not only everything, but anything. Because there's no starting. You can only start a series because time already occurs. And time occurs spontaneously out of zero. Out of a zero field. You have to bring in field theory in a very big way and measurement as a gauge. And when you get into gauge theory of fields, one is beginning to get into late 20th century mathematics that in the early 21st century, there are many tens of thousands of people working to try to understand we're going in this great complementarity. The problem is not that we're going and we're learning, but that almost everyone else is dying on the anchor that's still in the mud of a harbor that nobody needs those kinds of harbors or ships or anchors at all anymore. You want to know what's surreal? That is surreal.
Newton, like almost all the students in 1665, left Cambridge. Newton went back to Lincolnshire, to the rural England, where everything was just very simple. You knew everyone and there was no contacts with strangers or plague. But he made an excursion for a few months back to Cambridge. To do some refining that was necessary. And, uh, this volume, uh, The Newtonian Moment: Isaac Newton and the Making of Modern Culture. Um, the author, uh, Mordechai Feingold. Just came out a couple of years ago.
Here's his, uh, short paragraph on this hiatus, which most people, biographers of Newton studiers said, well, he left for two years. He came back for four months in the middle of it. Then, yes, plague resurfaced again. You think Ebola is fierce, bubonic plague with horrific. You want to talk about it terrorists? Bubonic plague will do it. "A common perception lingers with the outbreak of the epidemic in 1665. Newton left Cambridge for two years and that it was precisely during these Annie.". They used to say a miracle year, anni, a-n-n-i is plural to these any miraculous Latin for miracle years because it was like a miracle. No prediction could have pointed out to it. There was no prediction. This is a message to world order and to terrorists. You have not predicted anything because it's not predictable of what is real and occurring freely.
"Two wonder years of isolation that Newton made his great discoveries. In actual fact, Newton was away for only two periods of eight or nine months each." Nine months is a gestation period. A pair of gestation periods with a quartet, a square of returns to Cambridge, to get his refining frame so that he was understanding keep inquiring and expressing pragmatically. And the rainbow as there. Not that it will follow, but that you will be able to see it, not just vision it.
"Two periods of nine months, each with a creative Cambridge interval in between." It is the creative interval. That is to use an old Coca Cola model and model, motto, the pause that refreshes. There needs to be intervening in the groups of advanced learning, like the learning civilization, in between the phases and then in between the first year of four phases and the second year of four phases a grand, pivotal, integraling that has a double, a paired stage of acceptance and absorption because one can't emerge freely, spontaneously into differential consciousness from where the mind in its perfect completeness is. Because it becomes baffled by the slightest isn't. And if there's a parenthetical blank, you can't even write that math.
We're going to come back next week, and we'll take a look at the rest of this little paragraph. And at the way all of this in the early 21st century is what the lawyers call moot.
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