Wallace David Foster Quotes & Sayings

Scenery is here. Wish you were beautiful. — David Foster Wallace

Which he said was the big lie they all bought that made doctors and standard therapy such a waste of time for people like us
they thought that diagnosis was the same as cure. That if you knew why, it would stop. Which is bullshit. You only stop if you stop. — David Foster Wallace

Naive people are, more or less by definition, unaware that they're naive. — David Foster Wallace

Sometimes what's important is dull. Sometimes it's work. Sometimes the important things aren't works of art for your entertainment, X. — David Foster Wallace

Cornell University Press announced plans for a festschrift. — David Foster Wallace

Drug addicts driven to crime to finance their drug addiction are not often inclined toward violent crime. Violence requires all different kinds of energy, and most drug addicts like to expend their energy not on their professional crime but on what their professional crime lets them afford. Drug addicts are often burglars, therefore. — David Foster Wallace

John McEnroe ... was arguably the best serve-and-volley man of all time, but then McEnroe was an exception to pretty much every predictive norm there was. At his peak (say 1980 to 1984), he was the greatest tennis player who ever lived-the most talented, the most beautiful, the most tormented: a genius. For me, watching McEnroe don a blue polyester blazer and do stiff lame truistic color commentary for TV is like watching Faulkner do a Gap ad. — David Foster Wallace

It is difficult to describe how it feels to gaze at living human beings whom you've seen perform in hard-core porn. To shake the hand of a man whose precise erectile size, angle, and vasculature are known to you. That strange I-think-we've-met-before sensation one feels upon seeing any celebrity in the flesh is here both intensified and twisted. It feels intensely twisted to see reigning industry queen Jenna Jameson chilling out at the Vivid booth in Jordaches and a latex bustier and to know already that she has a tattoo of a sundered valentine with the tagline HEART BREAKER on her right buttock and a tiny hairless mole just left of her anus. To watch Peter North try to get a cigar lit and to have that sight backlit by memories of his artilleryesque ejaculations.13 To have seen these strangers' faces in orgasm - that most unguarded and purely neural of expressions, the one so vulnerable that for centuries you basically had to marry a person to get to see it. — David Foster Wallace

She is silk in a bed of mail-order satin. Complete and seamless, an egg of sexual muscle. My motions atop her are dislocated, frantic, my lone interstice a trans-cultural spice of encouragement I smell with my spine. As, inside it, I go, I cry out to a god whose absence I have never felt to keenly. — David Foster Wallace

I think the truth is probably that enormous, sudden, dramatic, unexpected, life-changing experiences are not translatable or explainable to anyone else, and this is because they really are unique and particular - though not unique in the way the Christian girl believed. This is because their power isn't just a result of the experience itself, but also of the circumstances in which it hits you, of everything in your previous life-experience which has led up to it and made you exactly who and what you are when the experience hits you. — David Foster Wallace

The point is that petty, frustrating crap like this is exactly where the work of choosing comes in. Because the traffic jams and crowded aisles and long checkout lines give me time to think, and if I don't make a conscious decision about how to think and what to pay attention to, I'm going to be pissed and miserable every time I have to food-shop, because my natural default-setting is the certainty that situations like this are really all about me, about my hungriness and my fatigue and my desire to just get home. — David Foster Wallace

The sun like a sneaky keyhole view of hell. — David Foster Wallace

Workshop Hermeticism, fiction for which the highest praise involves the words 'competent,' 'finished,' 'problem-free,' fiction over which Writing-Program pre- and proscriptions loom with the enclosing force of horizons: no character without Freudian trauma in accessible past, without near-diagnostic physical description; no image undissolved into regulation Updikean metaphor; no overture without a dramatized scene to 'show' what's 'told'; no denouement prior to an epiphany whose approach can be charted by and Freitag on any Macintosh. — David Foster Wallace

Mr. Bloemker moved closer. He smelled like a wet diaper. "What is it," he asked, looking over Lenore's shoulder.
"If it's what I think it is," said Lenore, "it's a sort of joke. A what do you call it. An antinomy."
"An antinomy?"
Lenore nodded. "Gramma really likes antinomies. I think this guy here," looking down at the drawing on the back of the label, "is the barber who shaves all and only those who do not shave themselves."
Mr. Bloemker looked at her. "A barber?"
"The big killer question," Lenore said to the sheet of paper, "is supposed to be whether the barber shaves himself. I think that's why his head's exploded, here."
"Beg pardon?"
"If he does, he doesn't, and if he doesn't, he does. — David Foster Wallace

The whole issue was almost unbelievably meaningless and small. He thought about the word "meaning" and tried to summon up his baby's face without looking at the photo, but all he could get was the heft of a full diaper and the plastic mobile over his crib turning in the breeze that the box fan in the doorway made. He imagined that the clock's second hand possessed awareness and knew that it was a second hand and that its job was to go around and around inside a circle of numbers forever at the same slow, unvarying machinelike rate, going no place it hadn't already been a million times before, and imagining the second hand was so awful it made his breath catch in his throat, and he looked quickly around to see if any of the examiners near him had heard it or were looking at him. — David Foster Wallace

If you close your eyes on a busy urban sidewalk the sound of everybody's different footwear's footsteps all put together sounds like something getting chewed by something huge and tireless and patient. — David Foster Wallace

We'll have for a president a symbolic Rebel against his own power whose election was underwritten by inhuman soulless profit-machines whose takeover of American civic and spiritual life will convince Americans that rebellion against the soulless inhumanity of corporate life will consist in buying products from corporations that do the best job of representing corporate life as empty and soulless. We'll have a tyranny of conformist nonconformity presided over by a symbolic outsider whose very election depended on our deep conviction that his persona is utter bullshit. A rule of image, which because it's so empty makes everyone terrified - they're small and going to die, after all - — David Foster Wallace

Maybe it's the fact the most of the arts here are produced by world-weary and sophisticated older people and then consumed by younger people who not only consume art but study it for clues on how to be cool, hip - and keep in mind that, for kids and younger people, to be hip and cool is the same as to be admired and accepted and included and so Unalone. Forget so-called peer-pressure. It's more like peer-hunger. No? We enter a spiritual puberty where we snap to the fact that the great transcendant horror is loneliness, excluded encagement in the self. Once we've hit this age, we will now give or take anything, wear any mask, to fit, be part-of, not be Alone, we young. The U.S. arts are our guide to inclusion. A how-to. We are shown how to fashion masks of ennui and jaded irony at a young age where the face is fictile enough to assume the shape of whatever it wears. And then it's stuck there, the weary cynicism that saves us from gooey sentiment and unsophisticated naivete. — David Foster Wallace

God seems to have a kind of laid-back management style I'm not crazy about. — David Foster Wallace

De Tocqueville's thrust is that it's in the democratic citizen's nature to be like a leaf that doesn't believe in the tree it's part of. — David Foster Wallace

American human beings are a slippery and protean bunch in real life, hard as hell to get any kind of universal handle on. — David Foster Wallace

It is about simple awareness - awareness of what is so real and
essential, so hidden in plain sight all around us, that we have to keep
reminding ourselves, over and over: This is water, this is water. — David Foster Wallace

There are some writers who sweep us along so strongly in their current of energy--Normal mailer, Tom Wolfe, Toni Morrison, William F. Buckley, Jr., Hunter Thompson, David Foster Wallace, Dave Eggers--that we assume that when they go to work the words just flow. Nobody thinks of the effort they made every morning to turn on the switch. You also have to turn on the switch. Nobody is going to do it for you. — William Zinsser

The drunk and the maimed both are dragged forward out of the arena like a boneless Christ, one man under each arm, feet dragging, eyes on the aether. — David Foster Wallace

But from special it's not very far to Alone. — David Foster Wallace

Act in Haste, Repent at Leisure would seem to have been almost custom-designed for the case of tattoos. — David Foster Wallace

It always seems to be important to have at least one person in the vicinity to hate. — David Foster Wallace

No, what they want is to experience a passion so huge, overwhelming, powerful and irresistible that it obliterates any guilt or tension or culpability they might feel about betraying their perceived responsibilities. — David Foster Wallace

The thing that I think a lot of us forget is that part of the fault is the books ... you get this sort of cycle that as they become less important commercially they begin protecting their egos by talking more and more to each other and establishing themselves as this kind of tight cloistered world that doesn't really have anything to do with regular readers. — David Foster Wallace

And ultimately, she's told Drs. Rusk and Tavis, she'd rather have Hal abide in the security of the knowledge that his mother trusts him, that she's trusting and supportive and doesn't judge or gizzard-tear or wring her fine hands over his having for instance a glass of Canadian ale with friends every now and again, and so works tremendously hard to hide her maternal dread of his possibly ever drinking like James himself or James's father, all so that Hal might enjoy the security of feeling that he can be up-front with her about issues like drinking and not feel he has to hide anything from her under any circumstances. — David Foster Wallace

What fire dies when you feed it? It — David Foster Wallace

Some words have to be explicitly uttered, Lenore. Only by actually uttering certain words does one really DO what one SAYS. 'Love' is one of those words, performative words. Some words can literally make things real. — David Foster Wallace

This wise old whiskery fish swims up to three young fish and goes, 'Morning, boys, how's the water?' and swims away; and the three young fish watch him swim away and look at each other and go, 'What the fuck is water?' and swim away. — David Foster Wallace

We're all on each other's food chain. All of us. It's an individual sport. Welcome to the meaning of individual. We're each deeply alone here. It's what we all have in common, this aloneness. — David Foster Wallace

Literary fiction and poetry are real marginalized right now. There's a fallacy that some of my friends sometimes fall into, the ol' "The audience is stupid. The audience only wants to go this deep. Poor us, we're marginalized because of TV, the great hypnotic blah, blah." You can sit around and have these pity parties for yourself. Of course this is bullshit. If an art form is marginalized it's because it's not speaking to people. One possible reason is that the people it's speaking to have become too stupid to appreciate it. That seems a little easy to me. — David Foster Wallace

The father of Ruth van Cleve's child, she reports, is under the protection and care of the Norfolk County Correctional Authority, awaiting sentencing for what Ruth van Cleve describes several times as operating a pharmaceutical company without a license. — David Foster Wallace

Masturbating but did not. He didn't reject the idea so much — David Foster Wallace

Lie there panning, looking, all ribs and elbows and dilated eyes. The awake floor is littered with gear and dirty clothes, blond hardwood with sealed seams, two throw-rugs, the bare waxed wood shiny in the windows' snowlight, the floor neutral, faceless, you cannot see any face in the floor, awake, lying there, faceless, blank, dilated, playing beam over floor again and again, not sure all night forever unsure you're not missing something that's right there: you lie there, awake and almost twelve, believing with all your might. — David Foster Wallace

The Moms revealed that if you're not crazy then speaking to someone who isn't there is termed apostrophe and is valid art. — David Foster Wallace

That sometimes human beings have to just sit in one place and, like, hurt. That you will become way less concerned with what other people think of you when you realize how seldom they do. That there is such a thing as raw, unalloyed, agendaless kindness. That it is possible to fall asleep during an anxiety attack. That concentrating on anything is very hard work. — David Foster Wallace

If you're automatically sure that you know what reality is, and you are operating on your default setting, then you, like me, probably won't consider possibilities that aren't annoying and miserable. But if you really learn how to pay attention, then you will know there are other options. It will actually be within your power to experience a crowded, hot, slow, consumer-hell type situation as not only meaningful, but sacred, on fire with the same force that made the stars: love, fellowship, the mystical oneness of all things deep down. Not that that mystical stuff is necessarily true. The only thing that's capital-T True is that you get to decide how you're gonna try to see it. — David Foster Wallace

Fiction becomes a weird way to countenance yourself and to tell the truth instead of being a way to escape yourself or present yourself in a way you figure you will be maximally likable. — David Foster Wallace

Let me put it this way: You cannot live in the world without being in pain, spiritual and physical pain. We have developed mechanisms to deal with these pains, to overcome them somehow. Therapy, religion and spirituality, relationships, material success. All this can work, but also become a problem itself.
The pursuit of happiness has even been put into the American constitution a couple centuries ago. Today we're so rich, we own much more than we need, we have liberties unknown before, even though they are endangered in the current political climate in the US - and we forget how wonderful it nevertheless is, compared to most other political and economic systems. We have a saying that goes: Give a man enough rope and he hangs himself. — David Foster Wallace

So while a thing in a finite time cannot come in contact with things quantitatively infinite, it can come in contact with things infinite in respect of divisibility: for in this sense the time itself is also infinite. — David Foster Wallace

I'm screaming for help and everybody's acting as if I'm singing Ethel Merman covers ... — David Foster Wallace

The true thoughts that go on inside us are just too fast and huge and all interconnected for words to do more than barely sketch the outlines of, at most, one tiny little part of us at any given instant. — David Foster Wallace

This story ["The Depressed Person"] was the most painful thing I ever wrote. It's about narcissism, which is a part of depression. The character has traits of myself. I really lost friends while writing on that story, I became ugly and unhappy and just yelled at people. The cruel thing with depression is that it's such a self-centered illness - Dostoevsky shows that pretty good in his "Notes from Underground". The depression is painful, you're sapped/consumed by yourself; the worse the depression, the more you just think about yourself and the stranger and repellent you appear to others. — David Foster Wallace

Al Gore, best described by CNN sound tech Mark A. as "amazingly lifelike"; Steve Forbes, with his wet forehead and loony giggle; G.W. Bush's patrician smirk and mangled cant; even Clinton himself, with his big red fake-friendly face and "I feel your pain." Men who aren't enough like human beings even to hate-what one feels when they loom into view is just an overwhelming lack of interest, the sort of deep disengagement that is often a defense against pain. Against sadness. In fact, the likeliest reason why so many of us care so little about politics is that modern politicians make us sad, hurt us deep down in ways that are hard even to name, much less talk about. It's way easier to roll your eyes and not give a shit. You probably don't want to hear about all this, even. — David Foster Wallace

Dieting makes me want to murder everyone around me. — David Foster Wallace

your huge blocks of industrial ice packed in fragrant sawdust, the huge blocks of man-sized ice with flaws way inside like trapped white faces, white flames of internal cracks. — David Foster Wallace

Genuine pathological openness is about as seductive as Tourette's Syndrome. — David Foster Wallace

There are no choices without personal freedom, Buckeroo. It's not us who are dead inside. These things you find so weak and contemptible in us
these are just the hazards of being free. — David Foster Wallace

There is something magical to me about literature and fiction and I think it can do things not only that pop culture cannot do but that are urgent now: one is that by creating a character in a work of fiction you can allow a reader to leap over the wall of self and to allow him to imagine himself not only somewhere else but someone else in a way that television and movies, in a way that no other form can do. I think people are essentially lonely and alone and frightened of being alone. — David Foster Wallace

This, according to the fellows who saw me as fit for a Service career, put me ahead of the curve, to understand this truth at an age when most guys are starting only to suspect the basics of adulthood--that life owes you nothing; that suffering takes many forms; that no one will ever care for you as your mother did; that the human heart is a chump. — David Foster Wallace

There are very few innocent sentences in writing. — David Foster Wallace

The jet's movement and trail seem incisionish, as if white meat behind the blue were exposed and widening in the wake of the blade. — David Foster Wallace

...a harried commuter is mistaken for Christ by a child he knocks over. — David Foster Wallace

Everything I've ever let go of has claw marks on it. — David Foster Wallace

It's an urban November P.M.: very last leaves down, dry gray hairy grass, brittle bushes, gap-toothed trees. The rising moon looks like it doesn't feel very well. — David Foster Wallace

Being in a state referred to staring fixedly and without expression at something for extensive periods of time. It can happen when you haven't had enough sleep, or too much sleep, or if you've overeaten, or are distracted, or merely daydreaming. It is not daydreaming, however, because it involves gazing at something. Staring at it. Usually something straight ahead - a shelf on a bookcase, or the centerpiece on the dining room table, or your daughter or child. But in a stare, you are really not looking at this thing you are seeming to stare at, you are not even really noticing it - however, neither are you thinking of something else. You in truth are not doing anything, mentally, but you are doing it fixedly, with what appears to be intent concentration. It is as if one's concentration becomes stuck the way an auto's wheels can be stuck in the snow, turning rapidly without going forward, although it looks like intent concentration. — David Foster Wallace

You're wearing that bow tie, after all. Isn't that rather an invitation to a young sir? — David Foster Wallace

Can you "choose" something when you are forcefully and enthusiastically immersed in it at an age when the resources and information necessary for choosing are not yet yours? — David Foster Wallace

Really good work probably comes out of a willingness to disclose yourself, open yourself up in spiritual and emotional ways that risk making you look banal or melodramatic or naive or unhip or sappy, and to ask the reader really to feel something. To be willing to sort of die in order to move the reader, somehow. Even now I'm scared about how sappy this'll look in print, saying this. And the effort actually to do it, not just talk about it, requires a kind of courage I don't seem to have yet. — David Foster Wallace

The severing of an established connection is exponentially more painful than the rejection of an attempted connection. — David Foster Wallace

live in an era of terrible preoccupation with presentation and interpretation, one in which the relations between who someone is and what he believes and how he "expresses himself" 70 have been thrown into big-time flux. — David Foster Wallace

something is malignantly addictive if (1) it causes real problems for the addict, and (2) it offers itself as a relief from the very problems it causes. — David Foster Wallace

The library, and step on it! — David Foster Wallace

In ways that certain of us are uncomfortable about, SNOOTs' attitudes about contemporary usage resemble religious/political conservatives' attitudes about contemporary culture. We combine a missionary zeal and a near-neural faith in our beliefs' importance with a curmudgeonly hell-in-a-handbasket despair at the way English is routinely manhandled and corrupted by supposedly educated people. The Evil is all around us: boners and clunkers and solecistic howlers and bursts of voguish linguistic methane that make any SNOOT's cheek twitch and forehead darken. A fellow SNOOT I know likes to say that listening to most people's English feels like watching somebody use a Stradivarius to pound nails: We are the Few, the Proud, the Appalled at Everyone Else. — David Foster Wallace

In other words, Cantor is able to show that real numbers themselves can serve as the limits of fundamental sequences of reals, meaning his system of definitions is self-enclosed and VIR-proof. — David Foster Wallace

I've always thought of myself as a realist. I can remember fighting with my professors about it in grad school. The world that I live in consists of 250 advertisements a day and any number of unbelievably entertaining options, most of which are subsidized by corporations that want to sell me things. The whole way that the world acts on my nerve endings is bound up with stuff that the guys with the leather patches on their elbows would consider pop or trivial or ephemeral. I use a fair amount of pop stuff in my fiction, but what I mean by it is nothing different than what other people mean in writing about trees and parks and having to walk to the river to get water 100 years ago. It's just the texture of the world I live in. — David Foster Wallace

But if I decide to decide there's a different, less selfish, less lonely point to my life, won't the reason for this decision be my desire to be less lonely, meaning to suffer less overall pain? Can the decision to be less selfish ever be anything other than a selfish decision? — David Foster Wallace

And Lo, for the Earth was empty of Form, and void. And Darkness was all over the Face of the Deep. And We said: 'Look at that fucker Dance. — David Foster Wallace

I submit that the real reason we criticized and disliked Lynch's Laura's muddy bothness is that it required of us an empathetic confrontation with the exact same muddy bothness in ourselves and our intimates that makes the real world of moral selves so tense and uncomfortable, a bothness we go to the movies to get a couple hours' fucking relief from. — David Foster Wallace

I'm very bright, but I'm terrified of sounding like someone who thinks he's very bright-because those people are assholes. — David Foster Wallace

Just the thought of getting up made me glad I was lying on the floor. — David Foster Wallace

If you're subjected to enough great salesmen and salespitches and marketing concepts for long enough - like from your earliest Saturday-morning cartoons, let's say - it is only a matter of time before you start believing deep down that everything is sales and marketing, and that whenever somebody seems like they care about you or about some noble idea or cause, that person is really a salesman and really ultimately doesn't give a shit about you or some cause but really just wants something for himself. — David Foster Wallace

desire is the sugar in human food. — David Foster Wallace

I think the only thing for me, the tricky thing with the footnotes, is that they are an irritant, and they require a little extra work, and so they either have to be really germane or they have to be kind of fun to read. — David Foster Wallace

Not real bright - she thought the figure he'd trace without thinking on her bare flank after sex was the numeral 8, to give you an idea. — David Foster Wallace

Pleasure becomes a value, a teleological end in itself. It's probably more Western than U.S. per se. — David Foster Wallace

The sun would leave my sky if I couldn't assume you'd simply come and tell me you were sad. — David Foster Wallace

That everything is on fire, slow fire, and we're all less than a million breaths away from an oblivion more total than we can even bring ourselves to even try to imagine ... — David Foster Wallace

I guess a bit part of serious fiction's purpose is to give the reader, who like all of us is sort of marooned in her own skull, to give her imaginative access to other selves. — David Foster Wallace

Capital T-truth is about life before death. — David Foster Wallace

I was always either so unreasonably and pointlessly happy that no one place could seem to contain me, or so melancholy, so sick and silly with sadness that there was no place I could stomach the thought of entering. I hated it here. And I have never been as happy as when I was here. And these two things together confront me with the beak and claws of the True. — David Foster Wallace

TV and popular film and most kinds of 'low' art
which just means art whose primary aim is to make money
is lucrative precisely because it recognizes that audiences prefer 100 percent pleasure to the reality that tends to be 49 percent pleasure and 51 percent pain. Whereas 'serious' art, which is not primarily about getting money out of you, is more apt to make you uncomfortable, or to force you to work hard to access its pleasures, the same way that in real life true pleasure is usually a by-product of hard work and discomfort. — David Foster Wallace

Then he looked up, despite all best prior intentions. In four minutes, it would be another hour; a half hour after that was the ten-minute break. Lane Dean imagined himself running around on the break, waving his arms and shouting gibberish and holding ten cigarettes at once in his mouth, like a panpipe. Year after year, a face the same color as your desk. Lord Jesus. Coffee wasn't allowed because of spills on the files, but on the break he'd have a big cup of coffee in each hand while he pictured himself running around the outside grounds, shouting. He knew what he'd really do on the break was sit facing the wall clock in the lounge and, despite prayers and effort, count the seconds tick off until he had to come back and do this again. And again and again and again. — David Foster Wallace

There's a weird kind of paradox that the more expensive the vacation is, the more potentially anxiety-producing it is. — David Foster Wallace

When they were introduced, he made a witticism, hoping to be liked. She laughed extremely hard, hoping to be liked. Then each drove home alone, staring straight ahead, with the very same twist to their faces.
The man who'd introduced them didn't much like either of them, though he acted as if he did, anxious as he was to preserve good relations at all times. One never knew, after all, now did one now did one now did one. — David Foster Wallace

That's why people use terms like flow or effortless to describe writing that they regard as really superb. They're not saying effortless in terms of it didn't seem like the writer spent any work. It simply requires no effort to read it - the same way listening to an incredible storyteller talk out loud requires no effort to pay attention. Whereas when you're bored, you're conscious of how much effort is required to pay attention. — David Foster Wallace

She was terrified of everything, and terrified to show it. — David Foster Wallace

Don't cry, Booboo. Remember the flag only halfway up the pole?
Booboo, there are two ways to lower a flag to half-mast. Are you
listening? Because no shit I really have to sleep here in a second. So
listen - one way to lower the flag to half mast is just to lower the
flag. There's another way though. You can also just raise the pole.
You can raise the pole to like twice its original height. You get me?
You understand what I mean, Mario? — David Foster Wallace

Their handshake looked, for the first split-second he looked, like C.T. was jacking off and the little girl was going Sieg Heil. — David Foster Wallace

You Can't Unring a Bell. — David Foster Wallace

(on Updike) Has the son of a bitch ever had one unpublished thought? — David Foster Wallace

Wheelchair-accessible front ramp, take a bit of getting used to, and some like the engineer never do get comfortable with them and use the less garish auditory side-doors; and the abundant sulcus-fissures and gyrus-bulges of the slick latex roof make rain-drainage complex and footing chancy at best, so there's not a whole lot of recreational strolling up here, although a kind of safety-balcony of skull-colored polybutylene resin, which curves around the midbrain from the inferior frontal sulcus to the parietooccipital sulcus - a halo-ish ring at the level of like eaves, demanded by the Cambridge Fire Dept. over the heated pro-mimetic protests of topological Rickeyites over in the Architecture Dept. (which the M.I.T. administration, trying to placate Rickeyites and C.F.D. Fire Marshal both, had had the pre-molded resin injected with dyes to render it the distinctively icky brown-shot off-white of living skull, so that the balcony resembles at once corporeal bone and — David Foster Wallace

I think I was very often bored as a child, but boredom is not what I knew it as - what I knew was that I worried a lot — David Foster Wallace

David Foster Wallace: I always fear that when I really impose my will on something, the universe is gonna punish me. — David Lipsky

Recall Part 3c's mention of how Cantor took what had been regarded as a paradoxical, totally unhandlable feature of (Infinity)-namely that an infinite set/class/aggregate can be put into a one-to-one correspondence with its own subset-and transformed it into the technical def. of infinite set. Watch how he does the same thing here, turning what appear to be devastating objections into rigorous criteria, by defining a set S as any aggregate of collection of discrete entities that satisfies two conditions: (1) S can be entertained by the mind as an aggregate, and (2) There is some stated rule or condition via which one can determine, for any entity x, whether or not x is a member of S. — David Foster Wallace

Uniform Convergence & Associated Aracana item (d) for exceptional points, which again please recall can also be called 'discontinuities'. (N.B.: Some math classes also use singularity to mean exceptional point, which is both confusing and intriguing since the term also refers to Black Holes, which in a sense is what discontinuities are.) — David Foster Wallace