MATHEMATICAL FICTION:

a list compiled by Alex Kasman (College of Charleston)

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Story of Your Life (1998)
Ted Chiang
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Note: This work of mathematical fiction is recommended by Alex for hardcore fans of science fiction.

What sort of mathematics would Vonnegut's Tralfamadorean's like to do? Or, alternatively, what sort of worldview would a sentient species have if their idea of simple mathematics was the calculus of variations? Those are the mathematical questions addressed by this clever story.

Of course, much more goes on here than just that. We meet an interesting character who is a linguist hired by the government to help us communicate with a new alien species. In addition to learning about her progress in this difficult task, we see how she is courted by, marries, and eventually divorces her partner in the project who is a physicist. In fact, the "your life" of the title is the life of the daughter from that marriage.

At first, the physicists and linguists are both having trouble communicating with the aliens. The linguists are bothered by their nonlinear writing system which seems to require thinking of the sentence as a whole rather than as a string of words stretched out in time. The physicists start making headway when they try to talk to the aliens about the refraction of light. Somehow the aliens make it clear that they think about this phenomenon along the lines of Fermat's principle: that light takes the path from point A to point B which will get it there in the least time. Of course, this statement requires that you imagine the light knowing where it will be going before it gets there (sort of like the problem with the sentences, eh?)

In fact, Fermat's principle is just an example of the application of variational mathematics to physics. If you've had some calculus you can probably get a vague idea of what the calculus of variations is. Remember how some points were "critical points" because the slope of the tangent line was zero there? The idea is the same but replace x (the variable) with a function itself and you get a sort of infinite dimensional generalization in which some FUNCTIONS are critical points because some sort of derivative of a function of the function is zero. Sounds weird, I know. In fact, we do not resort to using it too often because it does seem a bit too abstract. But the fact is, as this story relates, much of physics can be stated in these terms in a way that completely eliminates the notion of time passing or events causing other events.

The idea of this story is to explore a different mind-set in which the calculus of variations, rather than algebra, is the most elementary form of mathematics.

Contributed by Kevin

"I think that here the physics (for Chiang is really using Calculus of Variations as a physical law rather than mathematical principle) as an example rather than as the focus of the story. The story focuses more on how language itself can alter your way of thinking, and seeing the Universe as a maximization/minimization problem is one of the ways in which your mindset changes. Regardless, this is one of the most thought-proviking (and enjoyable) stories I have red in a long time."

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(Note: This is just one work of mathematical fiction from the list. To see the entire list or to see more works of mathematical fiction, return to the Homepage.)

Works Similar to Story of Your Life
According to my `secret formula', the following works of mathematical fiction are similar to this one:
  1. Dragon's Egg by Robert L. Forward
  2. The Clockwork Rocket by Greg Egan
  3. Incandescence by Greg Egan
  4. Report from the Ambassador to Cida-2 by Clifton Cunningham
  5. The Flight of the Dragonfly (aka Rocheworld) by Robert L. Forward
  6. Pop Quiz by Alex Kasman
  7. Conversations on Mathematics with a Visitor from Outer Space by David Ruelle
  8. Q.E.D. by Bruce Stanley Burdick
  9. In the River by Justin Stanchfield
  10. Factoring Humanity by Robert J. Sawyer
Ratings for Story of Your Life:
RatingsHave you seen/read this work of mathematical fiction? Then click here to enter your own votes on its mathematical content and literary quality or send me comments to post on this Webpage.
Mathematical Content:
2.72/5 (7 votes)
..
Literary Quality:
4.85/5 (7 votes)
..

Categories:
GenreScience Fiction,
MotifAliens,
TopicAnalysis/Calculus/Differential,
MediumShort Stories,

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(Maintained by Alex Kasman, College of Charleston)