Hanya Yanagihara - A Little Life

“Do you mean imaginary geometries, stuff like that?” Laurence asked.

“It can be, sure. But it’s not just that. Often, it’s merely proof of — of the impossible yet consistent internal logic of math itself. There’s all kinds of specialties within pure math: geometric pure math, like you said, but also algebraic math, algorithmic math, cryptography, information theory, and pure logic, which is what I study.”

“Which is what?” Laurence asked.

He thought. “Mathematical logic, or pure logic, is essentially a conversation between truths and falsehoods. So for example, I might say to you ‘All positive numbers are real. Two is a positive number. Therefore, two must be real.’ But this isn’t actually true, right? It’s a derivation, a supposition of truth. I haven’t actually proven that two is a real number, but it must logically be true. So you’d write a proof to, in essence, prove that the logic of those two statements is in fact real, and infinitely applicable.” He stopped. “Does that make sense?”

“ Video, ergo est,” said Laurence, suddenly. I see it, therefore it is .

He smiled. “And that’s exactly what applied math is. But pure math is more”—he thought again—“ Imaginor, ergo est.”

Laurence smiled back at him and nodded. “Very good,” he said.

“Well, I have a question,” said Harold, who’d been quiet, listening to them. “How and why on earth did you end up in law school?”

Everyone laughed, and he did, too. He had been asked that question often (by Dr. Li, despairingly; by his master’s adviser, Dr. Kashen, perplexedly), and he always changed the answer to suit the audience, for the real answer — that he wanted to have the means to protect himself; that he wanted to make sure no one could ever reach him again — seemed too selfish and shallow and tiny a reason to say aloud (and would invite a slew of subsequent questions anyway). Besides, he knew enough now to know that the law was a flimsy form of protection: if he really wanted to be safe, he should have become a marksman squinting through an eyepiece, or a chemist in a lab with his pipettes and poisons.

That night, though, he said, “But law isn’t so unlike pure math, really — I mean, it too in theory can offer an answer to every question, can’t it? Laws of anything are meant to be pressed against, and stretched, and if they can’t provide solutions to every matter they claim to cover, then they aren’t really laws at all, are they?” He stopped to consider what he’d just said. “I suppose the difference is that in law, there are many paths to many answers, and in math, there are many paths to a single answer. And also, I guess, that law isn’t actually about the truth: it’s about governance. But math doesn’t have to be convenient, or practical, or managerial — it only has to be true.

“But I suppose the other way in which they’re alike is that in mathematics, as well as in law, what matters more — or, more accurately, what’s more memorable — is not that the case, or proof, is won or solved, but the beauty, the economy, with which it’s done.”

“What do you mean?” asked Harold.

“Well,” he said, “in law, we talk about a beautiful summation, or a beautiful judgment: and what we mean by that, of course, is the loveliness of not only its logic but its expression. And similarly, in math, when we talk about a beautiful proof, what we’re recognizing is the simplicity of the proof, its … elementalness, I suppose: its inevitability.”

“What about something like Fermat’s last theorem?” asked Julia.

“That’s a perfect example of a non-beautiful proof. Because while it was important that it was solved, it was, for a lot of people — like my adviser — a disappointment. The proof went on for hundreds of pages, and drew from so many disparate fields of mathematics, and was so — tortured, jigsawed , really, in its execution, that there are still many people at work trying to prove it in more elegant terms, even though it’s already been proven. A beautiful proof is succinct, like a beautiful ruling. It combines just a handful of different concepts, albeit from across the mathematical universe, and in a relatively brief series of steps, leads to a grand and new generalized truth in mathematics: that is, a wholly provable, unshakable absolute in a constructed world with very few unshakable absolutes.” He stopped to take a breath, aware, suddenly, that he had been talking and talking, and that the others were silent, watching him. He could feel himself flushing, could feel the old hatred fill him like dirtied water once more. “I’m sorry,” he apologized. “I’m sorry. I didn’t mean to ramble on.”

“Are you joking?” said Laurence. “Jude, I think that was the first truly revelatory conversation I’ve had in Harold’s house in probably the last decade or more: thank you.”

Everyone laughed again, and Harold leaned back in his chair, looking pleased. “See?” he caught Harold mouthing across the table to Laurence, and Laurence nodding, and he understood that this was meant about him, and was flattered despite himself, and shy as well. Had Harold talked about him to his friend? Had this been a test for him, a test he hadn’t known he was to take? He was relieved he had passed it, and that he hadn’t embarrassed Harold, and relieved too that, as uncomfortable as it sometimes made him, he might have fully earned his place in Harold’s house, and might be invited back again.

With each day he trusted Harold a little more, and at times he wondered if he was making the same mistake again. Was it better to trust or better to be wary? Could you have a real friendship if some part of you was always expecting betrayal? He felt sometimes as if he was taking advantage of Harold’s generosity, his jolly faith in him, and sometimes as if his circumspection was the wise choice after all, for if it should end badly, he’d have only himself to blame. But it was difficult to not trust Harold: Harold made it difficult, and, just as important, he was making it difficult for himself — he wanted to trust Harold, he wanted to give in, he wanted the creature inside him to tuck itself into a sleep from which it would never wake.

Late one night in his second year of law school he was at Harold’s, and when they opened the door, the steps, the street, the trees were hushed with snow, and the flakes cycloned toward the door, so fast that they both took a step backward.

“I’ll call a cab,” he said, so Harold wouldn’t have to drive him.

“No, you won’t,” Harold said. “You’ll stay here.”

And so he stayed in Harold and Julia’s spare bedroom on the second floor, separated from their room by a large windowed space they used as a library, and a brief hallway. “Here’s a T-shirt,” Harold said, lobbing something gray and soft at him, “and here’s a toothbrush.” He placed it on the bookcase. “There’s extra towels in the bathroom. Do you want anything else? Water?”

“No,” he said. “Harold, thank you.”

“Of course, Jude. Good night.”

“Good night.”

He stayed awake for a while, the feather comforter wadded around him, the mattress plush beneath him, watching the window turn white, and listening to water glugging from the faucets, and Harold and Julia’s low, indistinguishable murmurs at each other, and one or the other of them padding from one place to another, and then, finally, nothing. In those minutes, he pretended that they were his parents, and he was home for the weekend from law school to visit them, and this was his room, and the next day he would get up and do whatever it was that grown children did with their parents.