Everything and More: A Compact History of
Infinity - David Foster Wallace
“What exactly do ‘motion’ and
‘existence’ denote? We know that concrete particular things exist, and that
sometimes they move. Does motion per se exist? In what way? In what way do
abstractions exist? Of course, that last question is itself very abstract. Now
you can probably feel the headache starting. There’s a special sort of unease
or impatience with stuff like this. Like ‘What exactly is existence?’ or ‘What
exactly do we mean when we talk about motion?’ The unease is very distinctive
and sets in only at a certain level in the abstraction process—because
abstraction proceeds in levels, rather like exponents or dimensions. Let’s say
‘man’ meaning some particular man is Level One. ‘Man’ meaning the species is
Level Two. Something like ‘humanity’ or ‘humanness’ is Level Three; now we’re
talking about the abstract criteria for something qualifying as human. And so
forth. Thinking this way can be dangerous, weird. Thinking abstractly enough
about anything … surely we’ve all had the experience of thinking about a
word—‘pen,’ say—and of sort of saying the word over and over to ourselves until
it ceases to denote; the very strangeness of calling something a pen begins to
obtrude on the consciousness in a creepy way, like an epileptic aura.”
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