The Housekeeper and the Professor

I would love to see a mathematician find a complicated mathematical system in this 2003 novel by Japanese writer Yoko Agawa.  I am certain it must be there, but finding it is above my pay grade.

What I can attest to is how the novel demonstrates that, like mathematics, art can transcend the disorder of lived experience and bring order out of chaos.

The Housekeeper is the daughter of a single mother who was abandoned by the father, and the Housekeeper is in turn a single mother raising her son alone, having been abandoned by the father.  The Professor is suffering from memory loss since a traffic accident in 1975.  He can remember nothing after that date except in 80-minute segments.  The Professor’s sister-in-law, now widowed, allows him to live in a cottage near her house and hires the Housekeeper to make his meals and clean for him, but she seemingly wants to have nothing to do with either of them—no visits, no phone calls, no communication whatsoever.

The characters represent broken lives, broken relationships, and broken memories.  Of course their identities are affected and perhaps that is why we never learn their real names.  But mathematics, the Professor’s field of study, becomes the unlikely means by which memory loss is transcended, new bonds and new identities are formed, and a new family is made.

The Professor has not forgotten his numbers, his equations, or his mathematical theories.  He spends his days working on (and winning) mathematics contests, and he uses math to relate to every character.  Every day when the Housekeeper arrives, he greets her as if they have never met before and asks her birthdate, which he then uses to espouse the meaning of the numbers and how they fit into a mathematical system.

He delights in teaching the Housekeeper and later her son, challenging them with mathematical problems and puzzles.  Though the Professor does not remember the Housekeeper or her son more than 80 minutes at a time, he relates to them, not only at the level of math, but at a human level, discontinuous though it may be.

When he learns the Housekeeper has a son who must wait at home every day for his mother to return from work, the Professor insists she allow her son to come to his house after school.  When Root, as the Professor nicknames the son, accidentally cuts his hand with a knife the Professor is overwrought with worry and fear for the boy’s well-being.  The two bond over a love of baseball, although the Professor thinks the players and teams are pre-1975.  While Root carefully and cheerfully indulges the Professor in his pre-1975 memories, they are able to combine baseball and mathematics in their study of statistics.

Eventually the three characters begin to act like a family, the Professor becoming like the father that Root never had, the Housekeeper looking after him as she might care for her own aging and unknown father.

Mathematics is the means by which they transcend not only their own personal brokenness, but also the social disconnections of class, age, and gender.  The Professor is a highly educated man of professional class, while the Housekeeper works at a menial job as a domestic.  The older Professor could be her father and her son’s grandfather, but neither class nor age differences prevent them from forming a meaningful relationship.  The Professor’s love of mathematics transcends any bias against a working-class woman and her son being able to understand sophisticated mathematical theory. 

It might be possible to read some kind of erotic attraction into the relationship of the Professor and his Housekeeper.  A certain domestic intimacy develops and even a degree of personal intimacy as the Housekeeper cares for the professor’s physical needs when he develops a fever.  Certainly the sister-in-law becomes suspicious when the Housekeeper and her son spend the night at the Professor’s cottage during his illness and goes so far to have the Housekeeper fired.  Later we learn of a past romantic relationship between the sister-in-law and the Professor.  Could she have been jealous of the closeness between him and the Housekeeper?

In any case, once again it is mathematics that transcends the enmity between the sister-in-law and the Housekeeper, restores the domestic arrangement, and eventually leads to the formation of a larger circle of all four characters when the Professor is moved to a care facility and receives regular visits from his sister-in-law, the Housekeeper, and her son.  It is a mysterious mathematical equation, with special meaning between the Professor and his sister-in-law, that leads to the final resolution and the expanded circle of relationship.

The Professor believes that numbers existed before humans and that a mathematical order exists independently of the natural universe and the human realm.  His faith in an invisible order comes to sustain the Housekeeper as well as himself.  “Eternal truths are ultimately invisible,” he says, “and you won’t find them in material things or natural phenomena, or even in human emotions.  Mathematics, however, can illuminate them, can give them expression—in fact nothing can prevent it from doing so.”

This Platonic conception of an abstract reality transcending that which we can know with our senses becomes a source of reassurance and peace to the Housekeeper as she contemplates the Professor’s explanation of a “true line” extending “infinitely in either direction”:

 

                …I realized how much I needed this eternal truth that the Professor had described. I needed the sense that this invisible world was somehow propping up the visible one, that this one, true line extended infinitely, without width or area, confidently piercing through the shadows.  Somehow this line would help me find peace.

Thus does this seemingly simple but remarkable story of a domestic arrangement that evolves into a family circle suggest a much larger significance, with philosophical, even theological, implications.

As for a mathematical order in the story, it is perhaps notable that there are 11 chapters in the novel and that the central chapter, number six, contains the crucial crisis point when the Professor develops a fever, when the Housekeeper with her son spends the night to watch over and care for him, and when the sister-in-law, having observed this breach of what she considers the Housekeeper’s appropriate role, has her fired.  The first five chapters lead up to this crisis, and the last five unravel the resulting tangle of confusion and disruption to arrive at a final resolution.  This kind of symmetry is commonly found in art, and, like the mathematical system it is based on, brings order out of the chaos of lived human experience.