The Elegant Sentence: Lessons from Mathematics
Mathematicians sometimes describe a particularly beautiful equation or proof as elegant. An elegant solution has a certain economy and clarity that make the result feel almost inevitable. It establishes unexpected relationships, resolves complicated problems through surprisingly simple methods, and accomplishes more with less. Although mathematics and literature are often regarded as fundamentally different disciplines, this understanding of elegance has much to offer the creative writer. A beautifully constructed sentence, like a mathematical equation, can contain an extraordinary amount of meaning within a remarkably economical arrangement of elements.
The most famous examples of mathematical elegance often involve the discovery of unexpected relationships. Euler's identity, (e^{i\pi}+1=0), brings together five fundamental mathematical constants in a single expression. Its beauty emerges partly from the surprising coherence of elements that initially seem unrelated. Literary writing can achieve something similar. An image introduced in the opening pages of a novel might acquire new significance when it reappears near the conclusion. A seemingly incidental gesture might reveal the emotional logic underlying an entire relationship. The writer's task is to discover the relationships that make those words necessary to one another.
Let’s take, for example, Yoko Ogawa's novel The Housekeeper and the Professor, in which a brilliant mathematician, whose short-term memory lasts only eighty minutes, develops an unlikely friendship with his housekeeper and her young son. Mathematical concepts become part of the language through which these characters establish intimacy. Numbers and equations, apparently impersonal things, offer the professor a means of expressing affection and recognizing connections. Ogawa's prose mirrors the delicacy of these discoveries. Her restrained descriptions allow mathematical ideas to acquire emotional resonance without lengthy explanations of their symbolic significance. The elegance lies in how naturally the novel's intellectual and emotional dimensions reinforce one another.
Yet literary elegance should not be confused with brevity alone. A long, winding sentence may be more elegant than a short one if its complexity serves a necessary expressive purpose. In The Autumn of the Patriarch, Gabriel García Márquez employs enormous, flowing sentences to capture the sensation of historical repetition and disorientation. The prose might appear extravagant when judged according to conventional principles, but its accumulations are essential to the novel's imaginative design. An elegant literary form is not necessarily the simplest form available.
This distinction becomes particularly important during revision. Writers are often encouraged to eliminate unnecessary adjectives, shorten sentences, and simplify complicated passages. Such advice can be useful, but indiscriminate cutting risks stripping prose of its individuality. Mathematical elegance offers a more sophisticated model. When multiple narrative functions converge within a single detail, the writing is doing several things at once. A description should accomplish more than establish a setting; it might simultaneously reveal a character's temperament, establish an atmosphere, and anticipate a later development.
Lydia Davis offers a fascinating example of this principle in her story "Break It Down." The narrator attempts to calculate the monetary cost of a brief romantic relationship, dividing expenses by the hours of intimacy they purchased. The exercise becomes increasingly inadequate as the emotional consequences of the affair exceed the narrator's accounting. Davis uses the apparent precision of mathematics to expose the impossibility of measuring certain human experiences. Her method is formally economical, yet the emotional implications extend far beyond the calculations themselves.
A literary coach can help identify passages in which excessive explanation obscures an otherwise compelling idea, or scenes in which too many competing images dilute the emotional focus. During a manuscript consultation, a coach might examine how a recurring object, phrase, or gesture develops across a narrative, helping the author recognize structural relationships that have emerged intuitively during drafting. This work requires understanding what each element contributes and discovering ways for separate elements to function together.
A skilled literary coach recognizes that elegance looks different from writer to writer. The spare, elliptical sentences of Ginzburg operate according to principles different from the accumulations of García Márquez. The object of revision is to clarify the internal logic of a writer's particular aesthetic, preserving the rhythms and complexities that give the prose its character.
Mathematics reminds us that beauty can emerge from relationships as readily as from individual parts. The elegance of an equation lies not merely in its symbols but in the surprising order those symbols reveal. Similarly, a work of fiction achieves its greatest effect when its sentences, imagery, characters, and structure begin to illuminate one another. The result is a work in which every element seems to belong, and in which the arrangement of those elements reveals something that none could have expressed alone.
