Division by Zero

Ted Chiang, 2002

short_story

Quadrant Scores

Time Structure
LinearFractured
Pacing
Action-DrivenObservational
Threat Scale
IndividualSystemic
Protagonist Fate
VictoryAssimilation
Conflict Style
Western CombatKishōtenketsu
Price Type
PhysicalIdeological
Todorov's Stages
equilibrium
Description of the starting status quo.
disruption
The inciting incident or protocol failure.
recognition
When the protagonist realizes the disruption.
repair
The attempt to fix or survive it.
new equilibrium
The new, altered status quo.

Structural Analysis

1. Protocol Fiction Mapping (Summer of Protocols)#

  • Render a Rule:
  • Rehearse a Failure Mode:
  • Reveal a Human Insight:

2. Actantial Model (A.J. Greimas)#

  • Subject:
  • Object:
  • Sender (Destinator):
  • Receiver (Destinatee):
  • Helper:
  • Opponent:

3. Todorov's Equilibrium Model#

  • See YAML Frontmatter for stage breakdown.

4. The Freytag Pyramid#

  • Exposition:
  • Climax:

5. Propp's Morphology of the Folktale#

  • Applicable Narratemes:

6. Genette's Narrative Discourse#

  • Order / Duration / Focalization:

7. The Monomyth / Hero's Journey#

  • Subversions:

8. Dan Harmon's Story Circle#

  • The Take (The Price Paid):

9. Save the Cat! Beat Sheet#

  • Pacing Deviations:

10. Kishōtenketsu (Four-Act Structure)#

  • Applicability:

11. The Three-Act Structure#

  • Plot Points:

12. Lévi-Strauss's Binary Oppositions#

  • Primary Binary:
  • Secondary Binary:
  • The Mediator:

13. Cognitive Estrangement (Suvin / Shklovsky)#

  • The Familiar Concept:
  • The Estranging Mechanism:
  • The Cognitive Shift:

14. Bakhtin's Chronotope#

  • The Spatial Matrix:
  • The Temporal Flow:
  • The Point of Intersection:

15. Aristotelian Poetics#

  • Hamartia:
  • Peripeteia:
  • Anagnorisis:

16. Jungian Archetypal Analysis#

  • The Persona:
  • The Shadow:
  • The Anima/Animus:
  • The Trickster:

17. Genette's Transtextuality#

  • Intertextuality:
  • Paratextuality:
  • Metatextuality:

Characters7

ReneeProfessor of mathematics

A brilliant mathematician whose discovery of a formal contradiction in arithmetic causes an existential crisis and suicide attempt.

Mrs. Norwood
CarlExperimental biologist and Renee's husband

Renee's husband who survived a past suicide attempt. He struggles to empathize with Renee's abstract crisis and realizes he is falling out of love with her.

Mr. Norwood
Mrs. RivasPsychiatric ward patient

A patient in the psychiatric ward known for making manipulative suicide gestures.

FabrisiRenee's colleague

A mathematician in Renee's department who reviews her formalism but cannot find any error in it.

Peter Fabrisi
CallahanMathematician at Berkeley

A peer Renee corresponds with who reviews her work and recognizes its fundamental, disturbing implications.

MarleneCarl's friend

A friend of Carl who turned to him for support when she considered suicide.

AnneMarlene's best friend

Marlene's best friend who harbored envy over Carl's ability to comfort Marlene.