ON PAPER, IT’S ONE OF THE SIMPLEST math problems in the world: 2+2. If you’re counting something, like screws at the hardware store, it’s pretty straightforward. But the lines blur in other contexts. If you add 2 cups of vinegar to 2 cups of baking soda, and the reaction produces 5 cups of a fizzy mess, does that mean 2+2=5?
We bring assumptions into the world of mathematics. In this case, the simple “counting numbers”—the whole integers 1, 2, 3, and so on—signify a gulf between math’s abstraction and application. Using “2+2=4” as food for thought, mathematicians are exploring the circumstances in which 2+2 doesn’t actually equal 4, at least not neatly, and we can extend those interpretations to larger questions in epistemology—how we know what we know.
Kareem Carr,…
