This, and "The Machine Stops" by E M Forster (http://www.plexus.org/forster/index.html) are my two favorite science fiction shorts.
Both very relevant, and slightly humorous where we surpassed the technology in the stories. A computer weighs more than two humans! And still has crippled computing power. Makes me smile every time.
*Edit: Asimov probably imagined our missiles looking like this: http://www.yellow-llama.com/wp-content/uploads/harddrive.jpg . That dish washer being the hard drive (is actually a hard drive). And minus the humans inside.