THE MATHEMATICS OF STORYTELLING: HOW FICTION REFLECTS THE ACCURACY OF PATTERNS AND PROBABILITIES | Kriti Singh
- The Computers and Mathematics Society, SRCC

- May 1
- 5 min read

INTRODUCTION
I have always found reading to be a great escape from reality. It pulls me into different worlds, which are the creations of words and my own imaginative power. It is the characters, their feelings, and the secrets that are revealed in between the lines that have always fascinated me. However, gradually, I started to see that beneath the surface, stories are not just creative bursts. They adhere to a certain beat, a kind of structure that is somewhat mathematical.
Actually, every narrative goes up and down like a sine wave. Characters get to know each other symmetrically, conflicts become intense, and then are resolved almost like equations. In mysteries and dramas, decisions and their results happen, as the most extreme side of probability, without being predictable. Moreover, even reading is a small algorithm of information decoding, outcome prediction, and order finding from the chaos.

FINDING PATTERNS IN PLOTS
Most stories work because they have structure. There is always a rise and fall, a balance between tension and calm, the same kind of balance you would find in mathematical design. For instance, Fitzgerald arranges the novel The Great Gatsby as a mirror, where dreams elevate only to fall back into grief. The symmetry of the story is what gives it the emotional accuracy of the art being shaped by the geometry.
Character journeys frequently reflect this feeling of order as well. The obsession of Captain Ahab in Moby Dick or Jay Gatsby’s pursuit of Daisy are both examples of single-minded progressions. Their wants increase, reach the highest point, and then descend, thus plotting the curves of human ambition and its outcome. Along the same lines, the intellect of Sherlock Holmes is almost like puzzle pieces, every clue and observation fitting perfectly by the end. The pleasure one gets from reading him solving a case is similar to the one from completing a complicated proof and realizing it all.
Authors are often like mathematicians in the way that they employ repetition and rhythm, just like patterns. The patterns return, the chapters are reflections of each other, and certain utterances are repeated with a different sense. As a reader, the act of seeing these repetitions is a complete transformation of the reading process. What is at first bewildering reveals a structure, thus proving that even emotion has its own kind of logic.

PROBABILITY AND UNCERTAINTY IN FICTION
The greatest tales never reveal their secrets to us. What makes them exciting is not only what is done, but also what might be done. That is probability operating, the feeling of doubt which attracts us.
In Life of Pi, for example, every decision Pi makes on the lifeboat carries risk. Survival itself becomes a sequence of probabilities, which choices might lead to life, and which to disaster. Similarly, in Arthur Conan Doyle’s mysteries, each clue represents a new variable in Holmes’s equation of deduction. I find myself playing along, forming theories, and updating them as new data or clues appear.
This is what makes fiction interactive, like mathematics. We don’t just read passively, we guess, predict, and adjust. Every time we turn a page, we’re subconsciously running mental calculations of what the next plot will be. Stories build that tension between logic and emotion, between what’s possible and what’s certain. It’s why we stay up late reading just one more chapter, which, when you think about it, we’re solving, in a way.
THE LOGIC OF CHARACTER DECISIONS
Choices are the foundation of any story. Characters, through their actions, reactions, and anticipations, embody this. Basically, game theory is a subtle element in literature.
Take Pride and Prejudice, for instance, the choices of Elizabeth Bennet, on one hand, are driven by her feelings and on the other, they are strategic. She sails through the social expectations and her own pride and frequently foresees the reactions of others. Her universe is an unending sequence of risks and rewards, similar to a negotiation model from real life.
Also, there is Sherlock Holmes again, the best instance of strategy in a work of fiction. Holmes doesn't simply react, he calculates several moves ahead and understands people as if they were riddles. His deduction is of a mathematical nature, but Doyle's writing makes it seem not mechanical.
In fact, even in stories that appear to be illogical, the understanding of the plot is still a matter of strategy. Gatsby calculates every step to get Daisy's attention. Ahab gambles with everything in pursuit of the whale. These are not the characters acting randomly, rather, they are the choices with consequences, just like the shifts in outcomes of a strategic game. As readers, we participate too. We form expectations, take sides, and test our assumptions. Every decision a character makes changes our perception of them, and in a way, changes our own mental equations.

THE READER AS DECODER
Reading is far from being a passive thing. Each time we get a book, we turn into decoders. While reading The Book Thief by Markus Zusak, I was thinking about how the narrator is death and how each and every chapter came back to the ideas of loss and hope. I found myself putting together its pieces like solving a gentle puzzle, and decoding and coming up with a deeper interpretation of the book.
The same happens in mysteries, whether it’s Holmes, Christie's classics, or even a modern thriller. Each clue pulls us deeper, inviting us to make predictions and test theories. Without realising it, readers perform mental calculations, we measure pacing, detect symmetry, and search for meaning.
But what separates us from machines is intuition. This math of reading is messy, emotional, and beautifully human. We read between the lines, not just to find answers but to feel something in the process.
CONCLUSION
The more I think about it, the more I realise that reading quietly depends on logic and structure. Each surprising event, each feeling change, follows a beat or timing that could almost be measured with a metre. Writers create formulae out of words, and readers unknowingly become the ones to decipher them.
It may be the choices made by Pi Patel in Life of Pi, the reasoning of Holmes, or the musings of Liesel in The Book Thief, behind all these emotions, there is math, which is not in the form of numbers but as patterns that provide the words written on the paper with their sense.
To me, that is what makes reading seem like a mathematical thing. It is not only the content of the page but also the manner in which it is constructed and understood. The cooperation of logic and emotions results in something being both expected and surprising at the same time. Literature and mathematics might look like two different things, however, they have the same aim, to discover order in intricacy and sense in the unfamiliar.
~Kriti Singh
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