Archive for the 'Human intelligence' Category

Berger on drawing

Following Bridget Riley on drawing-as-thinking, I have been reading Jim Savage’s fascinating collection of writings by John Berger on the topic of drawing.  Although Berger does not say so, he is talking primarily about representational drawing – the drawing of things in the world (whether seen or remembered) or things in some imagined world – not abstract drawing.  Some excerpts:

  • “For the artist drawing is discovery.  And that is not just a slick phrase, it is quite literally true.  It is the actual act of drawing that forces the artist to look at the object in front of him, to dissect it in his mind’s eye and put it together again; or, if he is drawing from memory, that forces him to dredge his own mind, to discover the content of his own store of past observations.” (page 3)
  • “It is a platitude in the teaching of drawing that the heart of the matter lies in the specific process of looking.  A line, an area of tone, is not really important because it records what you have seen, but because of what it will lead you on to see.  Following up its logic in order to check its accuracy, you find confirmation or denial in the object itself or in your memory of it.  Each confirmation or denial brings you closer to the object, until finally you are, as it were, inside it:  the contours you have drawn no longer marking the edge of what you have seen, but the edge of what you have become.  Perhaps that sounds needlessly metaphysical.  Another way of putting it would be to say that each mark you make on the paper is a stepping-stone from which you proceed to the next, until you have crossed your subjecct as though it were a river, have put it behind you.” (page 3)
  • “A drawing is an autobiographical record of one’s discovery of an event – seen, remembered or imagined.” (page 3)
  • “All genuine art approaches something which is eloquent but which we cannot altogether understand.  Eloquent because it touches something fundamental.  How do we know?  We do not know.  We simply recognize.”   (page 80)
  • “Art cannot be used to explain the mysterious.  What art does is to make it easier to notice. Art uncovers the mysterious. And when noticed and uncovered, it becomes more mysterious.”  (page 80)
  • “The pen with which I’m writing is the one with which I draw.  And there are times, like tonight, when it won’t flow and when it demands a bath or a hand moving differently.  All drawings are a collaboration, like most circus-acts.” (page 110)
  • “where are we, during the act of drawing, in spirit?  Where are you at such moments – moments which add up to so many, one might think of them as another life-time?    Each pictorial tradition offers a different answer to this query.  For instance, the European tradition, since the Renaissance, places the model over there, the draughtsman here, and the paper somewhere in between, within arms reach of the draughtsman, who observes the model and notes down what he has observed on the paper in front of him.   The Chinese tradition arranges things differently.  Calligraphy, the trace of things, is behind the model and the draughtsman has to search for it, looking through the model.   On his paper he then repeats the gestures he has seen calligraphically.  For the Paleolithic shaman, drawing inside a cave, it was different again.  The model and the drawing surface were in the same place, calling to the draughtsman to come and meet them, and then trace, with his hand on the rock, their presence.” (page 123)

Reference:

John Berger [2005]:  Berger on Drawing.  Edited by Jim Savage.  Aghabullogue, Co. Cork, Eire:  Occasional Press.  Second Edition, 2007.




Dream on

Over at Normblog, Norm is thinking about anxiety dreams, and seeks to answer the question:  Who is the author of these dreams of ours?  Some think it seems not to be us, since the events in the dream come as a surprise to us and trouble us.  He concludes that it is the dreamer who is the author. If we think of dreams as being like films that we view in our sleep, then I assume Norm means that the author is the film-director, or perhaps the projectionist. 

But there is another explanation of  all our dreams, not only those which cause us angst.  That explanation is that our dreams are just random images flashed before us by some mechanical process in our brain.  Here there is no continuous film, no coherent plot, no themes, no actors, no film-director, and the projectionist is outside having a cigarette while images are being loaded automatically by a random reel selector that management installed to save on staff.   We, however, are not outside.  We are sitting down in the front-row of the stalls of the cinema, being the audience for the film. So its no wonder we are surprised by what we see.   We try our best, both then and after waking, to make sense of the images that flash past us, looking for some narrative coherence.  If we have anxieties, this is when they appear, in our attempts at reconstruction of  a plot or a theme or some identifiable characters.   We are indeed the authors of our dreams, but only in the way that texts are written by their readers, and not their writers.

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Macho mathematicians

Pianist and writer Susan Tomes has just published a new book, Out of Silence, which the Guardian has excerpted here.  This story drew my attention:

Afterwards, my husband and I reminisced about our attempts to learn tennis when we were young. I told him that my sisters and I used to go down to the public tennis courts in Portobello. We had probably never seen a professional tennis match; we just knew that tennis was about hitting the ball to and fro across the net. We had a few lessons and became quite good at leisurely rallies, hitting the ball back and forth without any attempt at speed. Sometimes we could keep our rallies going for quite a long time, and I found this enjoyable.

Then our tennis teacher explained that we should now learn to play “properly”. It was only then that I realised we were meant to hit the ball in such a way that the other person could not hit it back. This came as an unpleasant surprise. As soon as we started “playing properly”, our points became extremely short. One person served, the other could not hit it back, and that was the end of the point. It seemed to me that there was skill in hitting the ball so that the other person could hit it back. If they could, the ball would flow, one got to move about and there was not much interruption to the rhythm of play. It struck me that hitting the ball deliberately out of the other person’s reach was unsportsmanlike. When I tell my husband all this, he laughs and says: “There speaks a true chamber musician.”

This story resonated strongly with me.  Earlier this year, I had a brief correspondence with mathematician Alexandre Borovik, who has been collecting accounts of childhood experiences of learning mathematics, both from mathematicians and from non-mathematicians.  After seeing a discussion on his blog about the roles of puzzles and games in teaching mathematics to children, I had written to him:

Part of my anger & frustration at school was that so much of this subject that I loved, mathematics, was wasted on what I thought was frivolous or immoral applications:   frivolous because of all those unrealistic puzzles, and immoral because of the emphasis on competition (Olympiads, chess, card games, gambling, etc).   I had (and retain) a profound dislike of competition, and I don’t see why one always had to demonstrate one’s abilities by beating other people, rather than by collaborating with them.  I believed that “playing music together”, rather than “playing sport against one another”, was a better metaphor for what I wanted to do in life, and as a mathematician.

Indeed, the macho competitiveness of much of pure mathematics struck me very strongly when I was an undergraduate student:  I switched then to mathematical statistics because the teachers and students in that discipline were much less competitive towards one another.  For a long time, I thought I was alone in this view, but I have since heard the same story from other people, including some prominent mathematicians.  I know one famous category theorist who switched from analysis as a graduate student because the people there were too competitive, while the category theory people were more co-operative. 

Perhaps the emphasis on puzzles & tricks is fine for some mathematicians – eg, Paul Erdos seems to have been motivated by puzzles and eager to solve particular problems.  However, it is not fine for others – Alexander Grothendieck comes to mind as someone interested in abstract frameworks rather than puzzle-solving.  Perhaps the research discipline of pure mathematics needs people of both types.  If so, this is even more reason not to eliminate all the top-down thinkers by teaching only using puzzles at school.” 

 

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Learning jazz improvisation

 A few days ago, writing about bank bonuses, I talked about the skills needed to get-things-done, a form of intelligence I believe is distinct (and rarer than) other, better-known forms — mathematical, lingustic, emotional, etc.   There are in fact many skill sets and forms of intelligence which don’t feature prominently in our text-biased culture.    One of these is musical intelligence, and I have come across a fascinating description of taking jazz improvisation and composition lessons from pianist and composer Hall Overton (1920-1972), written by Jack Reilly:

Hall Overton, composer, jazz pianist, advocate/activist for the New Music of his time and a lover of Theolonius Monk’s music, was my teacher for one year beginning in 1957. I first heard about him from a fellow classmate at the Manhattan School of Music, which at that time was located on East 103rd street, between 2nd and 3rd avenue, an area then known as Spanish Harlem. This chap was playing in one of the basement practice rooms where I heard him playing Duke Jordan’s “Jordu”. I liked what I heard so much so I asked him where he learned to play that way. Hall Overton, was his reply. I took down Hall’s number, called him and said I wanted to take jazz piano lessons. He sounded warm and gracious over the phone which made me feel relaxed because I was nervous about playing for him. I had been playing jazz gigs and casuals since my teens but still felt light years away from my vision of myself as a complete jazz pianist. Hall was going to push the envelope. We set up weekly lessons.

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