In creating solutions in mathematics and science, use a mental razor to shave the bells and whistles from your attempts. For, the truest solutions always have the cleanest forms. Think of Newton’s laws, Maxwell's equations, Pythagoras' theorem, the helical structure of DNA. This is not to say that every simple idea is a great truth, but rather great truths are almost always simple.
The term for this strategy of creating solutions in mathematics and science is “Occam's razor,” named for the 14th century logician William Ockham. It is sometimes put as: "All things being equal, the simplest solution tends to be the best one."
While Sauntering in the museum of the Art Institute of Chicago, the several sculptures by Constantin Brancusi struck us as irreducibly simple and, at the same time, irreducibly beautiful. We made up a term: Brancusi’s razor. Not only is it behind Brancusi’s art, it is behind Michelangelo's statue David, as well as most every clay jar older than1000 years.
In applying Occam’s razor and Brancusi’s razor, once irreducible simplicity is reached it is just the starting point. Irreducible simplicity is the seed of a rich complexity of ideas, in the case of mathematics and science. Irreducible simplicity is the seed of a rich complexity of feelings, in the case of art.
After our Chicago visit, we looked through books about Constantin Brancusi and his art. We discovered he knew of what we are calling his razor, for he said this:
Simplicity is not an end in art, but one arrives at simplicity in spite of oneself, in approaching the real sense of things. Simplicity is complexity itself, and one has to be nourished by its essence in order to understand its value. (Quoted in Constantin Brancusi, by Carola Giedion-Welcker, George Braziller, Inc., New York 1959, p. 220.)
When you come to think of it, the line between Brancusi’s razor and Thoreau’s razor is very finely drawn. Thoreau showed that shaving the bells and whistles from one’s life leaves a wholesome simplicity. ("All things being equal, the simplest life tends to be the most nourishing.")
And when you think further think, there is Robbins’ razor (or if you like, Chouinard’s razor), for Royal Robbins (and Yvon Chouinard), who shaved the complexity out of their rock climbing. ("All things being equal, the simplest, cleanest moves in climbing tend to be the most nourishing.")
Pick your reminding symbol of living simply. For some it is Walden and Thoreau. For some, Robbins’ and Chouinard’s climbing. For some, Newton's F = ma. For me, it’s one particular Brancusi’s sculpture.
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For an outline of the history of Occam’s razor, click here. For a brief biography of Constantin Brancusi, click here. For a sample of Constantin Brancusi’s works, click here. For brief biographies of Royal Robbins and Yvon Chouinard, click here.
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