Alfred North Whitehead once wrote: "Our knowledge of the particular facts of the world around us is gained from our sensations. We see, and hear, and taste, and smell, and feel hot and cold, and push, and rub, and ache, and tingle. These are just our own personal sensations: my toothache cannot be your toothache, and my sight cannot be your sight."
What mathematics does, Whitehead explained, is create a public world that's the same for everybody. Mathematics imagines a world "as one connected set of things which underlies all the perceptions of all people. There is not one world of things for my sensations and another for yours, but one world in which we both exist."
Can film criticism, or any kind of criticism for that matter, discover one world that underlies all of the perceptions of all people? And does it matter if it can or not?
Mathematics is essential to the science of bombs, and vaccines, and medicines. It makes architecture and engineering possible. That these things matter is obvious. But do things like films and what we make of them matter in the same way? And to whom do they matter?
Tom Wolfe famously pointed out that without the theories of Rosenberg and Greenberg -- Red Mountain and Green Mountain -- le monde, the little world of artists, dealers and collectors in the Fifties and Sixties, was unable to see. Until you grasped the theories, you saw something all right, but not the "real" paintings. So what? Rosenberg and Greenberg didn't even have the same theory about what they were looking at. They weren't even seeing the same things.
Physicists sometimes think of light as particles. Sometimes they think of light as waves. Neither particles nor waves by themselves explain all there is to know about light, but taken together they do. And that matters. Because the bomb blows up.
What matters about criticism is that it should be useful somehow. A modest goal for a critic might be to make something accessible to a viewer, or listener, or reader, that wouldn't be accessible to them without the critique. And my thought is we should do that without going overboard about the importance of the work we're talking about. We should talk about art the way we talk about mushrooms on our lawns, keeping our heads straight when we swim, finding our way home after a night on the town, or whether we prefer one-egg or two-egg omelettes.
The only things I can make accessible to anyone is what I see, hear and think when I watch a film.