Maria Popova
The Gifted Listener: Composer Aaron Copland on Honing Your Talent for Listening to Music
An Article by Maria PopovaThe poetry of music, Copland intimates, is composed both by the musician, in the creation of music and its interpretation in performance, and by the listener, in the act of listening that is itself the work of reflective interpretation. This makes listening as much a creative act as composition and performance — not a passive receptivity to the object that is music, but an active practice that confers upon the object its meaning: an art to be mastered, a talent to be honed.
Trees and graphs
A tree is a kind of graph, but a graph can be considerably more complex than a tree.
I have reason to believe, which for brevity’s sake I will treat elsewhere, that the most complex class of processes and structures we humans can consciously prescribe, reduces mathematically to a tree. A tree has a top, bottom, left and right. Its branches fan out from the trunk and they don’t intersect with one another. They are discrete, contiguous, identifiable objects which persist across time. Trees are Things.
Software and websites, however, reduce to arbitrarily more complex structures: they are graphs. A graph has no meaningful orientation whatsoever. No sequence, no obvious start or end—at least none that we can intuit. It is better considered not as one Thing, but as a federation of Things, like the brain or a fungus network, or perhaps a composite artifact left behind from an ongoing process, like an ant colony or human city.