What Painting Is: How to Think about Oil Painting ... - Victoria Vesna
What Painting Is: How to Think about Oil Painting ... - Victoria Vesna What Painting Is: How to Think about Oil Painting ... - Victoria Vesna
WHAT PAINTING IS 45 mark on it. As every artist knows, a single brushmark can never be retrieved: if it is painted over, it is gone, and no matter how many times the same hand passes over the same inch of canvas, the mark can never be reproduced. Every mark is a different beginning: one, one, one…and so on forever. Still, there is a sense in which counting happens in painting. It has to do with the way that marks exist together, so that they make sets and groups. If an artist paints a Cadmium Yellow streak, and then a Chromium Green blotch next to it, the two marks exist together on the canvas and make a set. There is no way to tell in advance how they might relate to one another: the green might balance the yellow, or harmonize with it, or pull away from it, or overwhelm it. But whatever relation they have, it is not the relation that one number has to another. Each mark is unique: the yellow is not one and the green is not two, and they do not add to make two or any other number. Looking at them, you would not be tempted to count “one, two.” So even though it’s possible to look at the canvas and count two marks, that goes against everything that paint does. Instead they form a set or a group or a composition that consists of two unique elements, two ones, existing together and making something new, which is another one. Paint adds like this: 1+1=1. The three ones are not exactly the same, since the first is a yellow, the second a green, and the third something unnamable and new. So really the equation would have to look more like this: 1+1=1. Obviously the math we learn in school isn’t going to help in thinking about painting. But there is a mathematics that can describe what happens here: it is the ancient art of numerology, and it begins—significantly enough—at the same moment that Western mathematics begins, with Pythagoras in the sixth century B.C. From there it finds its way through alchemical and mystical texts up to the present day. We still feel the last shudders of it whenever we think twice about the number 13, or wonder if 666 might not have special meaning after all. To a rationally minded modernist, numerology is nothing more than a pastime or a silly leftover of medieval—or rather, preclassical— superstition. But a tremendous amount waits to be written about numerology, because even the greatest mathematicians have had
46 HOW TO COUNT IN OIL AND STONE hunches and feelings about numbers. It is a commonplace among academic number theorists that as the properties of different numbers become more familiar, they take on personalities of their own. Once Srinivasa Ramanujan Aiyangar, perhaps the most important mathematician of the century, was visited by a friend who remarked that the day was not especially propitious since the license plate of the taxi that had brought him to Ramanujan’s house had the number 1729—“Not a particularly interesting number.” Ramanujan’s face lit up, and he said, “On the contrary! 1729 is the smallest number that is the sum of two different cubes two different ways: 1729=12 3 +1 3 and 1729=10 3 +9 3 .” Ramanujan “knew” the number, and that kind of acquaintance is not irrelevant for mathematics, because it will lead a mathematician to make other discoveries. Ramanujan could have added, for instance, that 1729 is also the sum of 865 and 864 and the difference of their squares 748,225 and 746,496. Numbers unfold their peculiarities to people who think about them as individuals, instead of as anonymous markers on a notched line leading to infinity. Numerology can also be found in philosophy and the humanities, with their nearly mystical interest in twos and threes. The philosopher Hegel started that obsession by insisting that nature counts by adding a thesis to its antithesis, and subsuming both in a synthesis; and even today postmodern theorists shy away from “reductive dualities” and search for ideas that call for larger congregations of num bers. They tend to mistrust any idea that comes packaged as a “dualistic” choice, or a “Hegelian” triad. In all cultures, numerology has had little to say about larger numbers: except for the important ones (666, 1000), numerologists are mostly interested in numbers under twenty or so. There is a certain truth to the habit of sticking to smaller numbers, since the unaided human mind can rarely hold more than three or four ideas at once. (According to the psychoanalyst Jacques Lacan, the numbers zero to six are a special key to the psyche because the unconscious can’t count beyond six. 3 ) The basic idea of this book is a duality (painting and alchemy), and as I write I might be able to keep a half-dozen of its themes in my head at once. But no one except the odd number genius has theories that depend on 1000 or 1729 ideas. Numerologists are right to remain faithful to the normal capacities of the mind. Dualities may be reductive, but
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46 HOW TO COUNT IN OIL AND STONE<br />
hunches and feelings <strong>about</strong> numbers. It is a commonplace among<br />
academic number theorists that as the properties of different<br />
numbers become more familiar, they take on personalities of<br />
their own. Once Srinivasa Ramanujan Aiyangar, perhaps the<br />
most important mathematician of the century, was visited by a<br />
friend who remarked that the day was not especially propitious<br />
since the license plate of the taxi that had brought him <strong>to</strong><br />
Ramanujan’s house had the number 1729—“Not a particularly<br />
interesting number.” Ramanujan’s face lit up, and he said, “On<br />
the contrary! 1729 is the smallest number that is the sum of two<br />
different cubes two different ways: 1729=12 3 +1 3 and 1729=10 3<br />
+9 3 .” Ramanujan “knew” the number, and that kind of<br />
acquaintance is not irrelevant for mathematics, because it will<br />
lead a mathematician <strong>to</strong> make other discoveries. Ramanujan<br />
could have added, for instance, that 1729 is also the sum of 865<br />
and 864 and the difference of their squares 748,225 and 746,496.<br />
Numbers unfold their peculiarities <strong>to</strong> people who think <strong>about</strong><br />
them as individuals, instead of as anonymous markers on a<br />
notched line leading <strong>to</strong> infinity. Numerology can also be found in<br />
philosophy and the humanities, with their nearly mystical<br />
interest in twos and threes. The philosopher Hegel started that<br />
obsession by insisting that nature counts by adding a thesis <strong>to</strong> its<br />
antithesis, and subsuming both in a synthesis; and even <strong>to</strong>day<br />
postmodern theorists shy away from “reductive dualities” and<br />
search for ideas that call for larger congregations of num bers.<br />
They tend <strong>to</strong> mistrust any idea that comes packaged as a<br />
“dualistic” choice, or a “Hegelian” triad. In all cultures,<br />
numerology has had little <strong>to</strong> say <strong>about</strong> larger numbers: except for<br />
the important ones (666, 1000), numerologists are mostly<br />
interested in numbers under twenty or so. There is a certain truth<br />
<strong>to</strong> the habit of sticking <strong>to</strong> smaller numbers, since the unaided<br />
human mind can rarely hold more than three or four ideas at<br />
once. (According <strong>to</strong> the psychoanalyst Jacques Lacan, the<br />
numbers zero <strong>to</strong> six are a special key <strong>to</strong> the psyche because the<br />
unconscious can’t count beyond six. 3 ) The basic idea of this book<br />
is a duality (painting and alchemy), and as I write I might be able<br />
<strong>to</strong> keep a half-dozen of its themes in my head at once. But no one<br />
except the odd number genius has theories that depend on 1000<br />
or 1729 ideas. Numerologists are right <strong>to</strong> remain faithful <strong>to</strong> the<br />
normal capacities of the mind. Dualities may be reductive, but