Computers have advanced terrifically over the decades—but they're not perfect. Here are three problems that, no matter how good they get, they'll never be able to figure out.
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New Scientist has put together this lovely video that summarizes three questions a computer will never crack: the Halting Problem (given a program and its input, a computer can't tell whether it will run forever or sometime stop); Kolmogorov complexity (the perfect compression of files); and the Wang Tile problem (whether it's possible to tile an infinite floor with, well, Wang Tiles). It's well worth watching—if only to remind yourself that computers aren't infallible. [New Scientist]