Tag Archives: productivity

A type of unproductivity

There is a certain very special type of unproductivity that I have experienced only in math.  You are working on something and you feel almost certain your strategy is not going to work.  In fact, it is more likely than not that your strategy is not even a new strategy, but a variant on something you’ve already tried unsuccessfully — or maybe not even actually a variant, but just a rephrasing you’ve fooled yourself into thinking is a variant.  So you are not sure whether you are actually working on something at all.  In fact, you doubt it.

And yet you keep going!  Because what if it works?

 

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Good math days

I have good math days and bad math days; we all do.  An outsider might think the good math days are the days when you have good ideas.  That’s not how it works, at least for me.  You have good ideas on the bad math days, too; but one at a time.  You have an idea, you try it, you make some progress, it doesn’t work, your mind says “too bad.”

On the good math days, you have an idea, you try it, it doesn’t work, you click over to the next idea, you get over the obstacle that was blocking you, then you’re stuck again, you ask your mind “What’s the next thing to do?” you get the next idea, you take another step, and you just keep going.

You don’t feel smarter on the good math days.  It’s not even momentum, exactly, because it’s not a feeling of speed.  More like:  the feeling of being a big, heavy, not very fast vehicle, with very large tires, that’s just going to keep on traveling, over a bump, across a ditch, through a river, continually and inexorably moving in a roughly fixed direction.

 

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It will not be an easy or a simple task

From “Automation and Unemployment:  A Management Viewpoint,” by Malcolm L. Denise, vice president for labor relations, Ford Motor Company, 1962:

As a result of these developments, together with a vast growth in capital investment, we have managed to increase our productivity, as measured by output per man-hour, at an average rate of about 2.2 percent per year in the total private economy.  To permit a similar rate of productivity increase over the next fifty or sixty years, we must have new developments as dramatic, as far-reaching, as inconceivable as the developments of the past 60 years would have seemed in 1900.  Work will not soon be obsolete because we have learned how to build computers and employ electronic controls.  Indeed, it will not be an easy or a simple task even to maintain the past rate of productive increase from our present high base.

Indeed.

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