Stories of Your Life and Others
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- Division by Zero
Understand
This is the oldest story in this volume and might never have been published if it weren't for Spider Robinson, one of my instructors at Clarion. This story had collected a bunch of rejection slips when I first sent it out, but Spider encouraged me to resubmit it after I had Clarion on my resume. I made some revisions and sent it out, and it got a much better response the second time around. The initial germ for this story was an offhand remark made by a roommate of mine in college; he was reading Sartre's Nausea at the time, whose protagonist finds only meaninglessness in everything he sees. But what would it be like, my roommate wondered, to find meaning and order in everything you saw? To me that suggested a kind of heightened perception, which in turn suggested superintelligence. I started thinking about the point at which quantitative improvements— better memory, faster pattern recognition— turn into a qualitative difference, a fundamentally different mode of cognition. Something else I wondered about was the possibility of truly understanding how our minds work. Some people are certain that it's impossible for us to understand our minds, offering analogies like "you can't see your face with your own eyes." I never found that persuasive. It may turn out that we can't, in fact, understand our minds (for certain values of "understand" and "mind"), but it'll take an argument much more persuasive than that to convince me. Division by Zero There's a famous equation that looks like this: When I first saw the derivation of this equation, my jaw dropped in amazement. Let me try to explain why. One of the things we admire most in fiction is an ending that is surprising, yet inevitable. This is also what characterizes elegance in design: the invention that's clever yet seems totally natural. Of course we know that they aren't really inevitable; it's human ingenuity that makes them seem that way, temporarily. Now consider the equation mentioned above. It's definitely surprising; you could work with the numbers e, and i for years, each in a dozen different contexts, without realizing they intersected in this particular way. Yet once you've seen the derivation, you feel that this equation really is inevitable, that this is the only way things could be. It's a feeling of awe, as if you've come into contact with absolute truth. A proof that mathematics is inconsistent, and that all its wondrous beauty was just an illusion, would, it seemed to me, be one of the worst things you could ever learn. |
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