yuyin

“People who don’t love math always accuse mathematicians of trying to make math complicated,” Dr. Li had said. “But anyone who does love math knows it’s really the opposite: math rewards simplicity, and mathematicians value it above all else. So it’s no surprise that Walter’s favorite axiom was also the most simple in the realm of mathematics: the axiom of the empty set.

“The axiom of the empty set is the axiom of zero. It states that there must be a concept of nothingness, that there must be the concept of zero: zero value, zero items. Math assumes there’s a concept of nothingness, but is it proven? No. But it must exist.

“And if we are being philosophical—which we today are—we can say that life itself is the axiom of the empty set. It begins in zero and ends in zero. We know that both states exist, but we will not be conscious of either experience: they are states that are necessary parts of life, even as they cannot be experienced as life. We assume the concept of nothingness, but we cannot prove it. But it must exist. So I prefer to think that Walter has not died but has instead proven for himself the axiom of the empty set, that he has proven the concept of zero. I know nothing else would have made him happier. An elegant mind wants elegant endings, and Walter had the most elegant mind. So I wish him goodbye; I wish him the answer to the axiom he so loved.”
― Hanya Yanagihara, A Little Life

“They dream of men with gentle hands, eloquent with tenderness, fingers that brushed along a cheek, that outlined open lips in the lovers' braille. Hands that sculpted sweetness from sullen flesh, that traced breast and ignited hips, opening, kneading. Flesh becomes bread in the heat of those hands, braided and rising.”
― Janet Fitch

“What was a zero anyway? A zero signified nothing, all it did was tell you nothing about nothing. Still, wasn't zero also something meaningful, a number in and of itself? In jianpu notation, zero indicated a caesura, a pause or rest of indeterminate length. Did time that went uncounted, unrecorded, still qualify as time? If zero was both everything and nothing, did an empty life have exactly the same weight as a full life? Was zero like the desert, both finite and infinite?”
― Madeleine Thien, Do Not Say We Have Nothing

“The axiom of equality states that x always equals x: it assumes that if you have a conceptual thing named x, that it must always be equivalent to itself, that it has a uniqueness about it, that it is in possession of something so irreducible that we must assume it is absolutely, unchangeably equivalent to itself for all time, that its very elementalness can never be altered. But it is impossible to prove. Always, absolutes, nevers: these are words, as much as numbers, that make up the world of mathematics. Not everyone liked the axiom of equality - Dr. Li had once called it coy and twee, a fan dance of an axiom - but he had always appreciated how elusive it was, how the beauty of the equation itself would always be frustrated by the attempts to prove it. It was the kind of axiom that could drive you mad, that could consume you, that could easily become an entire life.”
― Hanya Yanagihara, A Little Life