Marcel Duchamp and Invented Pseudo Algebra

I have been perplexed with the limitations I still encounter with preparing a document of research that can wholly represent my research and learning that I have encountered in my current degree. I have changed my thesis topic at least once each semester. The topics are all related, but they all have their own beauty and difficulties. I am continually fascinated with the interplay of words. I want to change how they are interpreted by placing them in opposition to each other. In equations, even.
I think about Marcel Duchamp frequently while I get frustrated with my lack of progress. He was often criticized for his lack of visible products. Despite this criticism, it has been said by many that Marcel Duchamp was one of the most influential artists of the 20th century. He was born in France in 1887 and became an American citizen in 1955. He lived a rich 81 years. Marcel Duchamp described himself as,"an artist, chess player, cheese dealer, breather, fenêtrier."

Numerous books and articles attempt to interpret Duchamp's artwork and philosophy, but in interviews and his writing, Duchamp only added to the mystery. The interpretations interested him as creations of their own, and as reflections of the interpreter.
A playful man, Duchamp prodded thought about artistic processes and art marketing, not so much with words, but with actions such as dubbing a urinal "art" and naming it Fountain. He produced relatively few artworks as he quickly moved through the avant-garde rhythms of his time.

John Cage said of Marcel Duchamp,"The check. The string he dropped. The Mona Lisa. The musical notes taken out of a hat. The glass. The toy shotgun painting. The things he found. Therefore, everything seen–every object, that is, plus the process of looking at it–is a Duchamp.

He simply found that object, gave it his name. What then did he do? He found that object, gave it his name. Identification. What then shall we do? Shall we call it by his name or by its name? It's not a question of names.

One way to write music: study Duchamp.

Say it's not a Duchamp. Turn it over and it is.

—from ‘Statements Re Duchamp,' see Marcel Duchamp in Perspective, ed. Joseph Masheck, 1975, pp.67-68

Duchamp, whose art career had been built on painting, painted very little after 1912. During this decade Duchamp began working as a librarian in the Bibliotèque Sainte-Geneviève where he earned a living wage and withdrew from painting circles into scholarly realms. He studied math and physics – areas where exciting new discoveries were taking place. The theoretical writings of Henri Poincaré particularly intrigued and inspired Duchamp. Poincaré postulated that the laws believed to govern matter were created solely by the minds that "understood" them and no theory could be considered "true." "The things themselves are not what science can reach..., but only the relations between things. Outside of these relations there is no knowable reality," Poincaré wrote in 1902.

Duchamp's own art-science experiments began during his tenure at the library. To make one of his favorite pieces, 3 Standard Stoppages (3 stoppages étalon), one at a time from a height of 1 meter, he dropped three 1-meter lengths of thread onto a prepared canvases. They landed in three random undulating positions. He varnished them into place on the blue-black canvas strips and attached them to glass. Then he cut three wood slats into the shapes of the curved strings, and put all the pieces into a croquet box. Three small leather signs with the title printed in gold were glued to each of the "stoppage" backgrounds. The piece resembles concepts described in Poincaré's School of the Thread, a book on classical mechanics.

The power to name, to tag yourself. Call it what you want to call it.
I was also recently enamored with reading an aesthetics textbook that created analogies in a somewhat algebraic fashion to illustrate several aesthetic philosophies. I was so intrigued by the analogies that I wanted to create diagrams. Here are a few.