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When I have significant competing . . . well, I call them 'local concentrations' . . . I create another 'local concentration' that just makes sure that the different developing lines of thought get jotted down in their proper columns on the page, as assigned by the overseeing 'concentration.' For me, three columns is usually enough; it's a rare day lately when five columns are needed.
The thoughts will come in the order they come, and they may be inter-related--but the pencil-holder, that supervising concentration takes dictation from the competitors and puts it in the right column, and sorts out collisions and mergers of thought. It's a clerky mechanic, and not very poetic.
But the fruit of the method is a set of notes that can be used during less scattered moments. It's not a jigsaw puzzle. It's the pieces of separate jigsaw puzzles, sorted into their proper piles. Each column now holds a line of thought, of some value.
A later 'concentration' can deal with it all, one pile at a time.