Astronomy and the Quadrivium

Astronomy and the Quadrivium

Perhaps your first thought, as was mine, is: “How can Astronomy be an ‘art?'” Furthermore, how can Astronomy be called a ‘liberal’ art? From a very interesting (and worth exploring) website called “Arts of Liberty,” we have a snippet for explanation:

“To call astronomy an ‘art’ can come as a shock to a modern reader… Perhaps without thinking much about it, we think of “science” as being a genuine and exact knowledge, whereas ‘art’ is more expressive, or touchy-feely.  But, that is not quite adequate, since medicine is also an ‘art,’ and it is anything but touchy-feely… And while ‘science’ and ‘art’ do not appear to be synonyms, it could very well be that the same discipline can be called both a ‘science’ and an ‘art,’ although for different reasons.

To understand this properly requires us to consider a sense of the word ‘science’ not in common use today.  The word ‘science’ comes from the Latin word scientia, which meant a very exact knowledge, a rigorous and sure knowledge of things deduced from self-evident truths.  The ancient Greeks would have called such knowledge epistémé...  

In the vocabulary of the ancients, an ‘art,’ like a science, meant a carefully reasoned-out knowledge, but more than that, it meant a knowledge of how to produce something.  Where there is no ‘product,’ there is no ‘art.’  So it is possible for a form of knowledge to be a ‘science’ but not an ‘art.’  For example, Aristotle considered the study of god to be a ‘science,’ a body of knowledge rigorously reasoned out from self-evident principles, but not an ‘art,’ because it did not teach us how to make gods, or how to do anything about god.”

Ptolemaicsystem-smallClaudius Ptolemy (100-170 CE) was a Greek mathematician living in Alexandria. His work The Amalgest was one of the most influential astronomical works until Galileo’s discoveries in the 17th C. The Amalgest documents many mathematical and astronomical treatises, including works by other mathematicians – works thought to be lost. The most significant piece of this Amalgest (total of 13 books), is the documentation of the geocentric model of the universe. Ptolemy’s work became the accepted theory of the structure of the planets and stars, with the Earth central to all.

This influenced not only astronomy and mathematics but also theology, philosophy, and fine art. Three centuries after it was written, Hypatia and her father Theon, genius mathematicians, added to the work with their own commentary, throwing in their thoughts of elliptical orbits, the procession of the equinoxes, revising Ptolemy’s Handy Tables, and introducing the sexigesimal calculation systems. It’s believed that this rendering of the Amalgest, with the Hypatia/Theon commentary, is the one that was used for the majority of the Middle Ages although no direct reference to Theon survives and Hypatia is mentioned only in a passing 10th C. reference.


And thus, the Quadrivium ends. I hope you’ve enjoyed my answer to the Bro.’s challenge of finding a significant event, work, or person who influenced each specific liberal art. The question was posed, should Freemason’s really learn the liberal arts? The answer, to me, should be obvious. Not only should we learn the liberal arts individually, but understand their context in the whole of being educated about the natural world. Human beings can be taught easily to survive; we cannot just “pick up” how to thrive, generate ideas, and create a better world.

An example of this “Freemasonic mindset” is James Madison, even though he was not a Freemason. In his early twenties, when the United States was in its infancy, he gave up much of his career and life to studying the histories and government of world cultures. He was relentless in his pursuit of the histories and knowledge of government administration, what worked, what didn’t; he studied philosophy, history, theology, art, classical literature, geography – the liberal arts and more. By the time he finished, and began his work in the new nation’s government, he was arguably the single biggest influencer in shaping the United States Constitution and the framework of our Democracy. By learning the past deeply, he was able to innovate and create a new world. To me, that is a main goal of the Service of Freemasons.

Are Sacred Places Important? The Labyrinth at Chartres

Are Sacred Places Important? The Labyrinth at Chartres

In our present time, there seems to be a huge market for “buying” your way to enlightenment. Everyone is peddling a secret. Chant this mantra. Hold this crystal. Buy some incense. Rub that oil. Say these words. Go to this retreat. Some of these things may have some value. Spiritual longing is a real part of the human experience. Labyrinths hold a special attraction for me. Can a labyrinth really be a tool for enlightenment? Are sacred places important?

The first labyrinth that I ever experienced was a Chartres Labyrinth, although I was not lucky enough to be in at the famous labyrinth in Chartres, France. I liked it so much I began to investigate labyrinths in general and the Chartres Labyrinth in particular.

Chartres Cathedral was built one thousand years ago to be the site of a Mystery School. Not only was the cathedral an architectural feat but was one of the leading learning centers at the time. The edifice combined the visionary teachings of Plato with Christian mysticism. You must walk the entire labyrinth path before gaining entrance to the Temple. It is the “way in,” if you will, a Chamber of Reflection of sorts.

Those who have been to the actual site in France say that the effect of the Cathedral is peaceful and nurturing. You are at rest, left to wander or to meditate in tranquility. The atmosphere suggests that the veil between the human and celestial worlds is thin, and God is very near. It represents the ideal of a sacred space: a blending of the divine and material. The impact of Chartres on people at that time must have been enormous. How can a place be so heavenly?

Sacred Geometry

The Divine mystery of the labyrinth walk might be due in part to the magical pattern. One path leads inwards to the center, and the same path leads back out again. Chartres has an eleven-circuit design, divided into four quadrants. They are encircled by an outer ring of lunations, thought to represent a type of lunar calendar. The quadrants suggest the even armed cross. At the center is a Rosette pattern of 6 petals which is the place of 14761614336_92dabf6bf4_zrest. It reminds us of the sacred lotus, symbol of enlightenment.

In medieval times, the path was considered a substitute for a pilgrimage to the Holy Land. It is symbolic of the pilgrim’s journey into his Soul: the Center. It must be a two-way journey, which ends at the starting point. The pilgrim must not seek to remain inside. He goes and comes back. He visits. He walks from the unreal to the real, from the periphery to the center, from the mundane to the spiritual and back. Is this not life?

Symmetry of the Design

In his book, The Mysteries of Chartres Cathedral, Louis Charpentier recalls his first experience of being inside the cathedral. He was immediately struck with the impression that “everything contained its opposite in itself.” He said that the same balance contained in the secret of the Chinese Tai Chi, is at work in Chartres where the “proportions, orientation, position and symbolism have all been designed to alert the psyche and refresh the spirit.”

This idea is hinted at in Chapter 14 of the Tao Te Ching

LabyrinthWhat we look for beyond seeing 
And call the unseen,
Listen for beyond hearing
And call the unheard.
Grasp for beyond reaching
And call the withheld,
Merge beyond understanding
In a oneness
Which does not merely rise and give light,
Does not merely set and leave darkness,
But forever sends forth a succession of living things as mysterious
As the unbegotten existence to which they return.

Charpentier further states:

“If the pilgrim experienced the entire sensuousness of the cathedral, it would be because the body’s senses had apprehended all the musical and geometrical proportions, and all the numbers and lines expressed in the building’s interior.”

Geometric forms that exist in the labyrinth or even the Masonic Temple such as the cube, triangle, sphere, square, or oblong square could act as a doorway into various states of awareness. “God Geometrizes.” Sacred Temples can be said to stand for an unseen condition of something that can be known.

Beauty as an Expression of Truth

Divine archetypes are said to be not only doorways to the unknown, but as Plato has indicated, they are the very essence of beauty. The nature of beauty cannot always be described in words, and so it is possible, that certain symbols act as a bridge between the visible and the invisible. Satisfying both a physical and metaphysical need, sacred architecture can:

2248714047_a3a0d5da4f_z

1. Provide an energetic focusing center on the physical plane wherein the mysteries are learned and enacted;

2. Serve those seekers who enter the building and become intellectually and spiritually stimulated.

The more beautiful the appearance in form – the more closely will it correspond with spiritual truth. Buckminster Fuller stated it like this, “When I am working on a problem, I never think about beauty, but when I have finished, if the solution is not beautiful, I know it is wrong.”

My sense is that if a person does not appreciate beautiful or holy things, he will lose them. Without reverence, the sacred feeling will diminish and then be forgotten. Thereafter, his only concern will be his personal comfort and selfish desires.

On the other hand, as we honor holy places we will be entrusted with holy things. Just the opposite of disbelief and despair, the goal is eternal life and peace. Contemplating art and architecture, the spiritual and the divine, moves us away from the mundane world of the daily round.

Do sacred spaces make us more enlightened? Some have scoffed at labyrinths, masonic temples, mantra, and things like crystals or incense for centuries. In times of need, I have tried all of them.

Geometry and the Quadrivium

Geometry and the Quadrivium

Whist sitting in school, slaving away with compasses and a ruler, one hardly remembers that geometry is the study of the measurement of the earth. Earth. The thing we sit on, utilize, and finally rest in when this is all over. The geometry in schools today looks nothing like the geometry of 3000 years ago. It is difficult to divorce geometry from the other liberal arts when we take into consideration the scale to while discoveries are interconnected. Geometry arose from the needs of agriculture, civilization, and war. For so much of this, we can thank Archimedes of Syracuse. A student of Euclid in the 3rd c. BCE, his advances in the field of geometry furthered irrigation (Archimedes’ Screw), astronomy (the first planetarium), and weights & measures (Archimedes’ Principle). The most interesting, to me, is The Method of Exhaustion (remember Dialectica) also known as “The Method” or “Archimedes’ Method.”

“…, to estimate the area of a circle, he constructed a larger polygon outside the circle and a smaller one inside it. He first enclosed the circle in a triangle, then in a square, pentagon, hexagon, etc, etc, each time approximating the area of the circle more closely. By this archimedes_circleso-called ‘method of exhaustion’ (or simply ‘Archimedes’ Method’), he effectively homed in on a value for one of the most important numbers in all of mathematics, π.” 1

Linked together with this Method is the “Method of Mechanical Theorems.” Proofs are everything to the mathematician, and in his Method of Mechanical Theorems, Archimedes had none that would be accepted. He set out using Eudoxus’ The Method of Exhaustion to prove what he knew to be true. In a letter to Eratosthenes, in manuscripts discovered in 1906, Archimedes outlines his thought processes. This document is known as the Archimedes Palimpsest.

Certain theorems first became clear to me by means of a mechanical method. Then, however, they had to be proved geometrically since the method provided no real proof. It is obviously easier to find a proof when we have already learned something about the question by means of the method than it is to find one without such advance knowledge.

The importance of these discoveries and the methods by which Archimedes came to them may be obvious – who doesn’t need π? However, it is also fascinating to peer inside the mathematician’s mind and view it with a Freemason’s perspective. Here was a man who could see the Plan, understand the Plan, and only needed to bring it to life: a divine spark of wisdom, the will to discover, and beauty in its presentation.

For an interesting and short expose on The Method and the “Archimedes Palmipsest,” whence this Method is documented, review  “The Illustrated Method of Archimedes” by  Andre Koch Torres Assis and Ceno Pietro Magnaghi. The PDF can be found here.

Additionally, the originally translated letter from Archimedes to Eratosthenes can be downloaded here. (Thank you, JSTOR.)


Just a note (1): The Story of Mathematics, Luke Mastin – http://www.storyofmathematics.com/hellenistic_archimedes.html – I’ve done my best to verify statements here, and so should you.

The History of the All Seeing Eye

The History of the All Seeing Eye

What people in the U.S.A. commonly referred to as the “All Seeing Eye” is more appropriately called the “Eye of Providence.” No, not Rhode Island. This would be the more divine providence – the big guy watching over all of us. Or gal. Or it. Whichever you prefer.

The Eye of Providence is the idea that some divine force is watching over us all, sees our deeds and actions, and judges accordingly. The Eye is associated with the Judgement card of the Tarot: Alchemical texts of the 17th Century and Egypt.

While the Eye of Providence, as noted above, has from the 18th Century C.E. onward been associated with Christianity, the idea of an “all-seeing God” has been around for Millenia. What is called “The Eye of Horus” originally was known as the Wadjet Eye, for the goddess Wadjet.

EyeofHorus

The Eye of Horus

Wadjet, as many can read on the Internet and in several Egyptian Mythology books, was one of the oldest deities in Egypt and dates from the pre-dynastic period. She is associated with Lower Egypt as well as the papyrus. Her name symbolizes the color of blue/green – the color of the papyrus plant. She is nearly always associated with a cobra and is considered the protector of pharaohs and the ruling classes of Egypt.

She’s seen as the Goddess, which represents time, heaven, and hell, and she is an ardent protector, especially of children. Over the millennia, she has been merged with many other goddesses, such as Bast and her sister, Nekhebet, Goddess of Upper Egypt, who is shown as a vulture. Wadjet has also been associated with Buto, the city which first revered her – originally named Per-Wadjet.

According to Herodotus, in his Histories ( Herodotus, The Histories, ii 55, and vii 134), “The Egyptians were also the first to introduce solemn assemblies, processions, and litanies to the gods; of all which the Greeks were taught the use by them. It seems to me a sufficient proof of this that in Egypt these practices have been established from remote antiquity, while in Greece they are only recently known.” There is note of a Temple to Wadjet in Buto (Per-Wadjet) that had an Oracle in it; it was considered that the Greek practice of using Oracles was co-opted from the Egyptians who, as Herodotus states, “taught them in their use.” 

The Eye of Wadget

The Eye of Wadget

Originally, oracles were used to be able to link the individual to the divine. A worshiper would travel to the oracle with a very specific and important question relevant to their lives. Kings would consult oracles to strategize on war or gain insight on divine events which would influence their people, like famine or floods. Using auguries drawn from various animals innards, smoke, visions, the flight of doves, or other “symbols,” the oracle would define the upcoming events based on intuition and divine inspiration. Oracles were eventually replaced by priests and religious figures as a way to connect the individual with their god or goddess, and in a way be a conduit for the divine.

We humans have always been looking for a way to have some kind of communion with the mind of our Divine source, whether it is through other individuals, hallucinogens, runes, tarot, channelling, or simply study. We look for some higher source to tell us what we ought to do, what will help us be successful, happy, healthy, or free. In this case, I find the idea of the Eye of Wadjet to be a symbol that connects us to a dusty, mythic past with some vague idea of what it really meant.

We’ve gone from the protection of a goddess to the protection of a country or our ideals, or maybe even our prosperity. I think this is the most interesting thing in this: the symbols we have in our daily lives are historical treasures that have been modified as our cultures modify them. They come to reflect what, and how we think about the world.

Mathematics and the Quadrivium

Mathematics and the Quadrivium

Personally, I struggled with Math in school. Faced with a math test, any math test, I froze, cried, banged my head against the desk, and ultimately gave up. I saw mathematics as an isolated “thing” to be conquered. You were either good at math, or you were not.

How little I knew, and how little I was taught, about true mathematics. More than numbers, factorials, and fractions, Mathematics is about relationships – of numbers: how they work with each other, work for us, against us, and can talk about any situation. There are mathematics of money, elections, government, science, music, agriculture, capitalism, socialism, any -ism. Math is language and structure: it is a bridge between all aspects of liberal art. Which leads us to the Bridges of Koenigsberg.

bridgesLeonhard Euler, a Swiss mathematician of the 18th Century solved, sort of, the problem of the Seven Bridges of Koenigsberg (Russia, at the time). Koenigsberg had two islands connected by seven bridges. The problem is to decide whether it is possible to follow a path that crosses each bridge exactly once and returns to the starting point (touching every edge only once). Euler proved that a necessary condition for the existence of Eulerian circuits is that all vertices in the graph have an even degree, and stated without proof that connected graphs with all vertices of even degree have an Eulerian circuit. The bridges did not meet this condition and therefore, no solution could be found to the problem.

Yet, what this Eulerian circuit eventually did provide is the basis for modern topology , which has expanded into areas of quantum physics, cosmology, biology, computer eulernetworking, and computer programming. For example, the Eulerian cycle or path is used in CMOS circuit design to find an optimal logic gate layouts. For anyone wanting to read the paper outlining these paths in the original Latin, it can be found here.  English translations do exist. A good page on the history of topology is here.

Leonhard Euler was a fascinating individual in that he saw mathematics as something that infused all of life. Though his writings, he made applied mathematics accessible to the layman and his scholastic peers alike. An excellent and thorough biography, written by Walter Gautschi, can be downloaded in PDF form here. With a varied interest in all aspects of mathematics  (arithmetic, geometry, algebra, physics), music, anatomy, physiology, and astronomy, he truly was a man of the “Enlightenment.”  While he was not a Freemason from what I can tell, he seemed to hold much regard for the idea of true science, and creating a better world for his fellow man: a Freemason’s true ideals, to be sure.

The Quadrivium

The Quadrivium

What scholars call the “foundation of Liberal Arts” – the Trivium – is taught in order that one may expand to other subjects, building upon the skills learned. These subjects have been varied over time, based on the philosopher teaching them but they are now generally accepted as mathematics, geometry, music, and astronomy – the Quadrivium. While these subjects were taught by ancient philosophers (Pythagoras, Plato, Aristotle, etc.), they became “the Quadrivium” in the Middle Ages in Western Europe, after Boethius or Cassiodorus had a go at translation.

(Encyclopedia Britannica has an excellent article on Mathematics in the Middle Ages, which discusses the Quadrivium briefly.)

Anicius Manlius Severinus Boethius (usually known simply as Boethius) (c. 480 – 525) was a 6th Century Roman Christian philosopher of the late Roman period. Flavius Magnus Aurelius Cassiodorus Senator (c. 485 – c. 585), commonly known as Cassiodorus, was a Roman statesman and writer, serving in the administration of Theoderic the Great, king of the Ostrogoths.  The former, Boethius, did a great deal to translate most of the ancient philosophers from Greek to Latin. Many of his works on Aristotle were foundational learning in the Middle Ages. Cassiodorus made education his life’s passion, particularly the liberal arts, and worked diligently to ensure classical literature was at the heart of Medieval learning. Both men have been credited with coining the term “Quadrivium,” or “where four roads meet.” Adding to the mix of Medieval education “influencers” is Proclus Lycaeus, one of the last classical philosophers and an ardent translator of Plato. He is considered one of the founding “fathers” of neoplatonism and had a great influence on Medieval education as well. His translations of Plato are peppered with his own ideas of education and philosophy. One of his most interesting books, considered a major work, is “The Platonic Theology.”

sevenLA1For the serious student of the classics, all of these philosophers, in their original Greek or Latin (with English translations alongside the original) can be found in the Loeb Classical Library series. Many used book stores, especially near universities, carry these books and they can be had for about 10$ each. There are hundreds of books but all are quite good as original references (See NOTE below) Back to the Quadrivium…

While many see the Trivium and Quadrivium as “separate,” I think this is a manufacture of our modern educational system. The Trivium are the basics for communicating thought, generating ideas, and conveying those thoughts clearly; yet, like Freemasonry, I don’t know that you would have jumped completely away from your foundations. Plato, in The Republic, does note that the quadrivium subjects, as identified above, should be taught separately. The Pythagorean School divided the subjects up between quantity (mathematics and harmonics, or otherwise known as music) and magnitude (geometry, cosmology or astronomy.) Personally, I find it difficult to talk about music without first having at least fundamental mathematics and exploring both together makes sense. I have not delved into the curriculum of the universities of the Middle Ages in Europe but if someone else has, it would be interesting to hear about it. sevenliberalarts

What I find most fascinating about the art surrounding the Quadrivium (and the Trivium, for that matter) is that nearly all of the plates, pictures, or engravings represent the subject matter as female or feminine. Perhaps it has to do with the receptive qualities of studiousness, or the idea of fecundity or maybe gentleness; whatever the reason, many of the Medieval and Renaissance European depictions show all subjects with a feminine demeanor. Since nearly all scholars in the middle ages in Europe were men, perhaps it was simply a bleed-over of the Medieval ideal of women. I am sure this is another subject for another time.

On an additional side note, I searched for representations of the Quadrivium and Trivium in Islamic art, also knowing full well that Islam is aniconistic. Islam really had begun to gain ground at the last part of the classical period in North Africa & Europe and as such did not really experience the same type of “downfall” or Dark Ages, that Europe did. The schools of Islam continued to develop the subjects of the quadrivium and trivium uninterrupted until Europe “caught up.” In fact, many of the mathematics, geometry, and astronomy texts of the latter Middle Ages were translated from Greek to Syriac Aramaic or from Arabic to Latin, and later taught in Latin universities in Europe.  Suffice to say that Islam did have an impact of the learning of the West, probably much more than most people today are aware.

So, why would the Freemason study the Quadrivium? The answer, to me, is obvious. If the one of the primary studies we must take on is Geometry, we need to understand how number fits into this process. We need Mathematics to understand Geometry, and Music to understand relationship of numbers, working in harmony. Astronomy teaches us our place in universe, and allows us to expand our knowledge of our own earth toward the heavens. Geometry, or the study of the measurement of the earth, is far more than the squares and triangle theorems we all know…and love. It’s about how to apply these numbers to the world around us. As we will see in each of the subjects, they can be taken for their base modern “ideas” or we can expand and overlap them, apply them to the natural world, and thereby become better caretakers of not only the earth we live on but the beings who live on it with us. The idea of a Renaissance Man is one who is well-versed in these foundations and has ideas that expand the world around us. They make the world a better place to live in, now and for the future. The Freemason, to me, embodies this idea completely.

Next stop, the subjects of the Quadrivium. Thank you for joining me!


NOTE For those interested in more of the Loeb Classical Library, but limited access to purchase these books, Harvard University Press has been working to put them online. The link is here: http://www.hup.harvard.edu/features/loeb/digital.html.

Individuals can subscribe for a yearly cost, with subsequent years being cheaper, and non-profits can also subscribe for a reduced cost. If you are a serious researcher and you would like primary sources, this library is an excellent resource.

Trivium: Rhetoric

Trivium: Rhetoric

We’re back with the third part of the Trivium: Rhetoric.

Rhetoric is the art of persuasion through communications, either written or spoken. There are always two components to rhetoric – the rhetoric and the audience. Rhetoric’s aim is to make comparisons, evoke emotions, censure rivals, and convince their audience to switch a point of view. Rhetoric takes the form of speech, debate, music, story, play, movie, poem; nearly anything that can be written or spoken may be a piece of rhetoric. In fact, it may be the rhetoric that makes the art.

In the poem, The Road Not Taken, by Robert Frost, the author provides a brief insight into life’s travels:

Two roads diverged in a yellow wood,
And sorry I could not travel both
And be one traveler, long I stood
And looked down one as far as I could
To where it bent in the undergrowth;
 
Then took the other, as just as fair,
And having perhaps the better claim,
Because it was grassy and wanted wear;
Though as for that the passing there
Had worn them really about the same,
 
And both that morning equally lay
In leaves no step had trodden black.
Oh, I kept the first for another day!
Yet knowing how way leads on to way,
I doubted if I should ever come back.
 
I shall be telling this with a sigh
Somewhere ages and ages hence:
Two roads diverged in a wood, and I—
I took the one less traveled by,
And that has made all the difference.
 

The rhetorical line of this poem is: “I took the one less traveled by / And that has made all the difference.” Frost has set a scene for us of decision, or indecision, and given us a glimpse into his thoughts, which may be our thoughts at any given moment. His work is convincing us that in order to perhaps make a difference in our lives, we should tread whether others have infrequently traveled.

When we talk about skilled negotiators, people with “charisma” and “charm,” we are really talking about the art of rhetoric. We use rhetoric in our everyday lives when we create a job resume, negotiate to buy a car, when we debate politics, or even when we are convincing a teenager to clean their room. We may do it every day, but do we really understand the finer points of rhetoric? It seems to be the pinnacle of the Trivium and the highest goal we can work toward in order to communicate our ideas with one another effectively.


A nod to this blog for providing the Cornelis Cort images.

Beethoven’s Last Work – Ode to Joy

Beethoven’s Last Work – Ode to Joy

As a classically trained musician, I often frame the way I think about the mysteries of the universe in terms of music. I love the quote of Einstein where he says, “I live my daydreams in music. I see my life in terms of music.” A world without music would be lifeless, silent, and depressing. Almost every moment in a person’s life is continually underscored by music — from birth to death, at weddings and other celebrations. The ancients were convinced that music could become internalized by the individual; the music influencing, as it were, the manner of our thoughts, feelings, and actions.  

Beethoven’s Ninth Symphony and Ode to Joy 

The “Ode to Joy” in Beethoven’s Ninth Symphony, first performed on May 7, 1824, is one of those musical treasures that invites me to dream, to turn within and to contemplate my mortal coil. The chorus was the finale in the “last work” that Beethoven ever composed.

The idea for “Ode to Joy,” and the words for the chorus, came to Beethoven in his early 20’s.  The famous poet Friedrich Schiller had written in 1785 an excessively cheerful drinking song, and Beethoven was creatively impressed to set the poem to music. He was the first major composer to include a chorus and vocal soloists in the last movement of a symphony. In the chorus, we hear the joy of a man who, through suffering and compassion, embraced all.  

It is such a glorious moment. So shocking. So hopeful: even though we know the violence and burdens of the world are out there surrounding us, waiting for us. The joyful lyrics ring true the message of uniting all people in universal brotherhood. Beethoven’s little introduction to the poem also mentions not dwelling on sad things but being happy instead.

The last words direct themselves to heaven, and in some amazing m34481589172_8d767a068a_o 1usical craftsmanship, the movement ends with a sublime message:

Be embraced, ye millions!
For the universe, this kiss!
Brothers – above the canopy of stars
A loving Father surely dwells.

Millions, do you fall upon our knees?
Do you sense the Creator, world?
Seek him above the canopy of stars!
Surely he dwells above the stars!

Just imagine that Beethoven was fully deaf and writing about being happy!  He was acquainted with a deep compassion that swept through him for others in a destitute situation. He dearly loved mankind and his skill as a master musician provided the means to reveal to us the hidden nature of the world within us, touching our souls.  Could this message possibly be a metaphor in itself? Who is really hard of hearing — him or us?

Beethoven’s music has been said to awaken compassion and the desire for universal brotherhood.  Because of the feelings contained in Beethoven’s music, his works can stir crowds to higher levels of realization. One wonders what power graced Beethoven that he could write such music. His joyful message still has the ability to lift the souls of all who hear it. How does this piece or any music tend to shape and mold us?  I have wondered that so many times and questioned myself. I have tried to touch the heart of the composer; Tried to turn my life into an “Ode to Joy.”352228023_28f8dd197a_o

Ancient Philosophers and the Mysteries of Music

David Tame, in his excellent book on The Secret Power of Music describes how a select group of composers have been able to show us what the ancient philosophers knew about the mysteries of music:

Pythagoras’ understanding of music was far more than a merely materialistic, academic one, and such an understanding is lamentably rare today. Yet we discover something of this timeless flame of ageless wisdom preserved in that small minority of musicians who still today have combined academic knowledge and the practical experience of music with a genuine and earnest inner spiritual development.

A Modern Take on Immortal Beloved

I consider Beethoven to be among this elite group.  In the 90’s, there was a film that came out about Beethoven’s life called “Immortal Beloved.”  Critics disagree with much of the movie’s historical contents, but there is one scene that took my breath away. I have pondered the meaning of it ever since. 

It begins by showing Beethoven standing before the orchestra while he is conducting the finale of the Ninth Symphony. He finds himself thinking back to a childhood memory of running away from his abusive father. The film draws us in as this young boy runs through the woods to escape the awful beatings that have plagued him all his life. His journey leads him to a lake where he wades in to float on his back to look up at the stars. The whole scene is illumined by a radiant full moon. 

Suddenly, we are transported to a change of perspective as the camera pans back.  The lake becomes a reflection of the sky, making Beethoven look as if he is suspended amid the stars until eventually his young body has merged with the heavens. He finds himself in his own universe, yet above the pain and uncertainty of his troubled adolescence. From this, we are left to wonder if Beethoven was truly alone and if his immortal beloved was music: his music. 

An Ode to Joy and Freemasonry 

There are many times that I have given myself over to Beethoven’s “Ode to Joy” masterpiece.  I bathe in the sounds, leave the troubles of my world behind and allow the joy to slowly purify me.  Freemasonry is much like any beautiful well-crafted piece of music in that the ceremonies and rituals give inspiration and perspective.  While the millions of stars in the sky may make us feel small in comparison, Freemasonry teaches that we are capable of so much.  We are truly a significant part of this very same Universe, and we have within us capacity to behold a sacred moment of transcendent power.

____________________________________________________________________________________________

Footnote:  Some say that Beethoven was a Freemason, although there is a lack of absolute evidence to that fact. Further exploration of this theory can be found in the article: http://freemasonry.bcy.ca/biography/beethoven_l/beethoven_l.html
 

Trivium: Logic or Dialectica

Trivium: Logic or Dialectica

Today’s theme is Logic, or as seen the picture here, Dialectica. As the New Catholic Encyclopedia states, “Logic is the science and art which so directs the mind in the process of reasoning and subsidiary processes as to enable it to attain clearness, consistency, and validity in those processes. The aim of logic is to secure clearness in the definition and arrangement of our ideas and other mental images, consistency in our judgments, and validity in our processes of inference.”

trivio7

Aristotle is generally considered the “Founder of Logic,” although many others before him put themselves to the task of thinking about how we think. One of these, Zeno of Elea, was considered to have developed reductio ad absurdum, or the method of indirect proof. If something cannot be both true and false, then an argument can be made from reducing the statement to the absurd.

For example, “The earth is round. The earth is not flat. If it were flat, people would fall off the edge.” Since the earth cannot be both round and flat, the statement is true.

Another good example, from Wikipedia (Yes, I know. Don’t judge.), reads:

xenophanes1The ‘reduction to the absurd’ technique is used throughout Greek philosophy, beginning with Presocratic philosophers. The earliest Greek example of a reductio argument is supposedly in fragments of a satirical poem attributed to Xenophanes of Colophon (c.570 – c.475 BC). Criticizing Homer’s attribution of human faults to the gods, he says that humans also believe that the gods’ bodies have human form. But if horses and oxen could draw, they would draw the gods with horse and oxen bodies. The gods can’t have both forms, so this is a contradiction. Therefore, the attribution of other human characteristics to the gods, such as human faults, is also false.

logic2Logic is mental training: once the words and language have been developed, we can think through situations, problems, and reason our way to clear conclusions that work in conjunction with the natural world. For example, if we seekers of Truth are to grow and understand how a symbol might be applied to our everyday lives, we need to understand not only what the symbol is, but how it works in the world around us, how nature employs it.

Logic utilizes the senses but the connection must be made in the mind to form usable conclusions. Logic is, to me, a fundamental aspect of any human being’s career, if one expects to progress through life and learn. We can learn Logic in the modern age via University, but this really teaches us about Logic, not how to employ our logical mind. It seems that only through discourse, or dialectica, are we able to truly develop logical thought processes and reasoning at a higher level. Masonic Philosophical Society, anyone?

 


As a side note, the Catholic Encyclopedia on newadvent.org has a very good article on Logic and its history. It’s concise and certainly doesn’t include manuscripts; I would encourage anyone with a keen interest in Logic or Dialectica to read Aristotle but also some of the pre-Socractic philosophers, whence a great deal of our modern ideas of logic come.

The Seven Liberal Arts – The Trivium

The Seven Liberal Arts – The Trivium

There is a real affinity for the goals of Freemasonry and the Seven Liberal Arts. From earliest teachings, we see that they are the foundation of many degree rites, the first of which is the FellowCraft Degree. To understand why this is, I think we must first understand the structure of the Seven Liberal Arts and what their history is.

The Liberal Arts have been, from antiquity, been the foundation stone upon which knowledge of the natural world rests. The seven liberal arts have been utilized since ancient Greece. Plato and Pythagoras were first in codifying their importance; the flowering of our western understanding of the liberal arts took place in medieval education systems, where they were categorized into the Trivium and the Quadrivium. Grammar, Logic, Rhetoric are the Trivium, and Arithmetic, Geometry, Music, and Astronomy are the Quadrivium. The Trivium combines the use of the senses with knowledge to lay the foundation for further study. The Quadrivium was considered to be the higher level education for the philosopher, and employed the use of the Trivium to be able to compose higher ideas and thereby, expand the knowledge of the human condition.

Freemasons the world over have expounded on the Seven Liberal Arts ad infinitum. All you need to do is search Freemasonry and Seven Liberal Arts, and you get a great deal of regurgitated drivel. That is not what I am striving to do in this next series. Here, my goal is to simply explain why the Seven Liberal Arts seem to have a kinship with Freemasonry, and perhaps provide small examples of each – withsevenliberalarts and without a Freemasonic connection. It’s up to you, the reader, to decide what you’d like to do with the information.

Plato’s Dialogues explain the curriculum outlined in detail and for any serious student of liberal arts, Plato is required reading. I, therefore, will not relate these concepts here. Suffice to say that the study of the Liberal Arts is more of a study of knowledge than it is of any specific actual data and information. As we may have learned by now, knowledge without application is dead and useless. Knowledge in the pursuit of higher ideals and higher ideas is more valuable than… than… well, you get the idea. Remember, one of the goals of Freemasonry is to better the human condition while standing up in defiance of falsehood, ignorance, and hatred. How do we do that if we are not searching to better our communication and knowledge, and the ways to bring both to life?

The Trivium is, as I said above, the foundation stone of the Seven Liberal Arts and really provides us the method and ability to communicate. It is composed of Grammar, Logic, and Rhetoric.

  • Grammar: Knowledge and Learning of Language
  • Logic: Reasoning, Questioning, and Thinking with Language
  • Rhetoric: Directing, moving, and Persuading using Language

While these all seem to be in relation to language, they are much more than language. They are the skills involved in achieving these ends. Therefore, the study of Grammar is also the study of history, geography, reading, and writing. It is basic, absolutely, but more encompassing than simply learning one’s ABCs and how to put pen on paper and write. Logic is about how we learn – we use our senses to experience, put our minds to thought, question, and experiment. We learn to ask the correct questions to achieve the answers we seek. They are not provided to us – we must seek them out and test for ourselves. Finally, rhetoric is the ability to take what we have learned with grammar and dialectic and put them firmly into the hands of an audience we are attempting to persuade. Rhetoric uses emotional discourse, thoughtfully created and properly applied, to communicate new ideas.

If it is not clear to the Freemason now why at least the Trivium is not important, one might want to question what they have actually learned while being a Freemason. Many may think that Freemasonry is all about enlightenment, walking in squares, or religious meanings. It might be those things to some but I think the true goals of Freemasonry are to provide a framework of how to be in the world, to make that world better for those that follow us but more importantly, for our own betterment. We cannot communicate lofty ideals via ritual alone – we need to be able to express what we have learned to a wider audience, to bring new thoughts to a wider world. To me, when we talk about service to the world, there is no greater service than being a hand-up to the betterment of the human condition and we do that by “teaching a man how to fish.” Study of the Liberal Arts is by one means to catch that “fish.”

Hortus_Deliciarum,_Die_Philosophie_mit_den_sieben_freien_Künsten