Cn Quotes

If anything in this life is certain...if history has taught us anything, it's that you cn kill anyone.

You cn't be suspicious of a tree, accuse a bird or squirrel of subversion or challenge the ideology of a violet

Really? Well, you'd definitely be interested in the fact that I just read To Kill A Mockingbird." I smiled and elbowed him. "Everyone's read that." I've read it five times." Nu-uh." Yep. I can even quote parts of it." That's bullpoopie." And then Stark, my big, bad, macho Warrior raised his voice, put on a little girl's Southern drawl, and said, "'Uncle Jack? What's a whore-lady?'" I do not think that's the most important quote from that book," I said, but laughed anyway. Okay, how about: 'Ain't no snot-nosed slut of a schoolteacher ever born c'n make me do nothin.!' That one's really my favorite." You got a twisted mind, James Stark.

Overheard at O'Banion's Beer Emporium: "Pardon me, darlin', but I'm writin' a telephone book. C'n I have yer number?

Well, you have magic, and I have my own superpower. It’s called anxiety.

Part of being trans, of being queer—not all of it, not for all people, but part—is in the re-imagining of what it is to be human. These are categories forged from the failure or refusal to acquiesce to majority rule.

Do not mistake me for a hero. I’d destroy the entire world to save the person I loved the most.

Gender is who you are, and sexuality is who you want; sexual orientation is who you go to bed with and gender identity is who you go to bed as.

You stabbed me to protect Ciara.” "I still think stabbed is a bit much. It didn’t kill you. It was more like a…you know, like a setback, I’d call it.” "You setbacked me in the chest, with a knife

We cannot afford to be seduced by the sophistry of single-issue movements. As Audre Lorde so rightly said, we do not live single-issue lives.

Conner looking at the text he sent Jeff the night before: 8:42pm..Reed:Need you to go to Denver w me. 8:46pm..Jeff: in meeting. give me 1 hr. 8:53pm..Reed: no can do. want wife back. going now. think i cn talk her into it wth sperm. Hell.Please don't let him have called her. 8:53pm..Jeff: R U drinking? 8:55pm..Reed: have wht she wants. solllid plan. better than hers. 8:56pm..Jeff: leaving now. wait 4 me. 9:02pm..Reed: don't worry botu it. 9:02pm..Jeff: WAIT 4 ME. 9:04pm..Jeff: PICKUP YOU PHONE 9:57pm..Jeff: you should stop for drink @ that bar in terminal with the big olives b4 flight. 10:22pm..Reed: hey, UR at the bar. you look pissed.

Those looking to know how it feels, to have a chance at life in a congruent body, free of dysphoria? Just listen to trans people and what we know of our own lives. We have been speaking this truth for a long time.

When was the last time you lost yourself in a pleasure so intense, you forgot your name? That you forgot your own mortality? Because that is what it means to be fae. I could make you ache with pleasure until you forget the name of every human who made you think there was something wrong with you.

I’m scared of failing—but I’m also scared of succeeding.

We’re trapped in the waking nightmare.

Lucky for me, I could easily rely on one of my favorite tactics: acting like a feckless dipshit.

Nonsense! I have merely come to terms with the fact that I am perfect, and I have decided life must go on, and I must learn to live with myself...

We are a match made in hell, but I have never wanted anyone more, Ava Jones,

Well, that’s good, darling, because as I said, I’m looking for someone I can’t love, and so far, you are the perfect match.

Covert narcissists are likable to the outside world; they appear to be giving, humble, and kind. It is usually only the person who gets to know them intimately who sees the destructive traits. The rest of the world sees the façade, the “nice guy.” Many therapists don’t see through the mask and indeed are often impressed with how kind and aware the CN is. CNs seem to intensify their behavior around middle age; they rarely change because narcissists blame others and they usually don’t think they have a problem.

There are bonfires, music. We sacrifice sixteen prisoners in a bonfire, and we eat things made with apples, like pies—” “Wait,” I held up a hand. “Did you just slip in a bit about burning people to death?” “The prisoners, yes. In the bonfire. Then we have pies made from—” “I understand how pies work. That part doesn’t need that much explaining. I’m stuck on the burning people to death part.” “Oh?

Should I anticipate all future conversations with you to take this bent?" Lynley enquired. "Frankly, I've always thought your appeal lay in your complete indifference to personal grooming." "Those days are past, sir. What c'n I do for you? I reckon this isn't a personal call, made to see if I'm keeping my legs shaved.

Triangulation can also look like the CN telling his girlfriend about a woman at work who keeps flirting with him. This creates an illusion of him being desirable and instills the fear of her possibly being replaced someday. Emotionally healthy people do not invoke feelings of jealousy and insecurity in people they love.

There is probably no hell for authors in the next world--they suffer so much from critics and publishers in this one.

A tall, dark, cold eyed, warm lipped, firm chinned, young man of thirty

Romance that defines your dreams

his overall appearance was much like Henry Cavill in The Tudors crossed with Poseidon.

Take that chance in life if you’re ever offered it.

I don’t think I ever understood the desire some mortals have to end their lives until I listened to the details of yours last night.

Blindsided, shell-shocked, and baffled are some other ways to describe this time when the CN cuts you off quickly and heartlessly.

But as I stood over the water, I caught a glimpse of my reflection, and my heart went still. Because there, protruding from my green hair, was a golden pair of horns. I couldn’t breathe.

When you hold a belief strongly, it is difficult to believe something that is so contrary to it, even if the evidence is undeniable and staring you in the face. When you start opening your eyes to ways the CN has controlled, manipulated, belittled, and demeaned you for years, this is a huge reality paradigm shift. You will fight hard against the evidence no matter how obvious it is. This stirs up great insecurity, confusion, and anxiety in the body. What makes it even harder is that people around you see the CN in a positive light. Cognitive dissonance is one of the most challenging components of healing and recovery. It takes enormous mental strength to look past strong beliefs you have held and be open to looking honestly at the reality that is presenting itself.

I can taste fear, and lies, on a man's skin, Cavrax." The Master Priest whispered, watching the large pulse on the cleric's neck beat like a caged thing begging for release. "You're lying to me.

The CN will make it very clear they are done but won’t take any action to end the marriage because their reputation is their number-one priority and they don’t want to look like the bad guy/gal.

When you are with a CN, you learn to ignore your gut feelings, your instincts, and over time believe the narcissist more than yourself. You will come to realize that the CN has slowly programmed you to see things the way they want you to see them, and gave you messages about yourself they want you to believe so they could keep controlling and manipulating you into continuing to be their “supply.

I want you to know that all the survivors I interviewed were intelligent people. Many of them were aware of psychological concepts. Some are in the mental healthcare field themselves. They are tender and have a tremendous amount of empathy. Many of them are also highly intuitive and aware of toxic behavior. They pick up when something is off with others. These are not naïve people. You can be super smart, as well as highly aware, and still be fooled by a CN.

And if the prodigious genius of Azarya Sheiner has never found the solution, then perhaps that is proof that no solution exists, that the most gifted among us is feeble in mind against the brutality of incomprehensibility that assutalts us from all sides. And so we try, as best we cn, to do justice to the tremendousness of our improbable existence. And so we live, as best we can, for ourselves, or who will live for us? And we live, as best we can, for others, otherwise what are we?

When you are with a CN, you can never win no matter what you do. They will never be fully satisfied with you. You will never be good enough in their eyes. They have to have something they can hold over you in order to control and manipulate you.

A word knelled in the hollows of my mind as I realized why the pendant had rejected me. Unseelie. I’d asked to come home, and this was where the magic had brought me. My real home—the realm of the wild beasts. It seemed I was a changeling after all.

no forces interfere with the process of entry by competitors, profitability will be driven to levels at which efficient firms earn no more than a “normal” return on their invested capital. It is barriers to entry, not differentiation by itself, that creates strategic opportunities.

It is so easy to believe the CN is telling the truth because they act so confidently. They can sound so reasonable, and you are used to trusting them. The thing is, they are professional liars. Your body, on the other hand, is an accurate barometer that will always tell you the truth.

This was the thing with men, as my mother—Queen Malgven herself—had warned me. It doesn’t matter who you really are. They write their own stories about you. They cast you in one of several roles. The innocent girl who needed teaching. The lunatic who needed calming. The whore who’d break your heart.

I knew a woman was never supposed to admit when she thought she was beautiful. It was a mortal sin. Everyone hates a woman who likes how she looks, and women are especially reviled if they’re flawed and still have the balls to feel beautiful. Covered in scars, not the right shape, wrong hair—whatever. You’re supposed to feel bad about it. So I just kept my thoughts about it to myself. I was scarred; I was beautiful, and I didn’t need to know what anyone else thought about the matter.

The discard phase is excruciating. It is also extremely confounding, to say the least. You saw your CN as one person for years, and now you see someone you don’t recognize, someone cruel and unfeeling. Your head is spinning, and your heart is devastated. You’ve never experienced betrayal, hurt, and confusion like this before.

This is the reason why it's insufficient to respond with accusations of being 'offended,' to say that anyone who disagrees with these pieces is not obliged to read them and can take their support elsewhere. Trans people may choose not to consume transphobic media; we have no choice about living in a world shaped by the misinformation.

Okay. I need to be less afraid of death.” I closed my eyes. “But there’s the fear of pain—” “Why fear something that is over so quickly?” “And then there’s the fear of what comes after. Do I end up here? Do I just stop existing?” “Why fear nonexistence?” he asked. “Do you feel afraid when you think of the past, before you existed?” “No.

They will also devalue you by letting you think something is your fault when it is actually their issue. This is called projection. They project what is true about them onto you and you end up taking the blame without even noticing. The emotional needs of the victim are not of importance to the CN. Only the CN’s desires, needs, or priorities matter to them.

Ciara stepped forward, holding up her hands to the sky. “I am a fire demon,” she declared. “Congratulations. Care to light this for me?

What crime had she committed? Seduction, probably. In worlds ruled by men, that in itself was some kind of unforgivable witchcraft.

Well, my bag of satyr dicks is fresh out, so does anyone have any ideas?

These niggas so soft get that arrow out your heart― Shy Glizzy

People are not born mentally tough. Mental toughness is developed by experience. Developing mental toughness is a very long process.

Energy? What energy? Ha ha, the only energy I know is energy drinks. I’m totally like everyone else.

And so the afternoon stretched on, and Ezbon toasted their imminent defeat to the dregs.

Operational effectiveness can be the single most important factor in the success, or indeed in the survival, of any business.

I connect to the power of the earth,” he went on. “Bury my manhood in the fresh forest soil.

I like my beautiful things to have a bit of darkness in them.

I can’t look away from his perfect face, from the heat in his eyes. From that intoxicating darkness in them.

How immensely human to be scared of bumblebees and ghosts while speeding around in flaming death machines all day like it was nothing.

Come away, O human child! To the waters and the wild With a faery, hand in hand, For the world’s more full of weeping than you can understand.

Well, you have magic, and I have my own superpower. It’s called anxiety. It’s a pain in the ass, but I’m prepared for every fire scenario you can think of.

How is it you can talk so much and clarify so little? It’s like the world’s shittiest superpower.

I can hardly catch my breath as I glance at the judges. Wrythe and Amon both look horrified. But Viviane meets my eyes, and her lips twist in a tiny smile.

But right now, I don’t give a fuck what they think.

The corner of his lip curled. “It seems I have you exactly where I want you, my favorite changeling.

I felt as if the throne was pushing me away—a strange sense of dread warning me not to move closer. And yet, I couldn’t take my eyes off the pair.

had to uncover the truth, but I might really hate the answer once I did.

Don’t attack unless you’re certain you can win.

I am a gutter fae. We fight dirty, and we fight to win. But you’re not very different than me, are you?

When someone is so beautiful you forget to breathe…

My love—my touch—is death.

Because when something terrible happens, there’s only one way to make it right, isn’t there? Make something worse happen to someone else.

All I wanted from life was a normal job, enough for food and rent, and a couple of normal friends. I was happy in my hovel of an apartment.

I’m going to need to kiss you.” “For realism,” I whisper. He brushes his thumb over my lower lip. “For the mission.” “For England.” He presses his lips against mine, claiming my mouth.

I have always looked upon a telephone as an official kind of machine which you prepared for with fasting and prayer, and only had recourse to when strictly necessary for important business.

When we get out of here, we will celebrate with corn dogs, sloppy joes, and snow cones. I want to bathe in the blood of our enemies and fashion their skulls into battle drums. Are you with me?

What I am sure of, though, is that accepting people outside the gender binary has less to do with the idea of specific non-binary genders, and a lot more to do with working away from the binary thinking in general. That we get better at seeing beyond us and them, valid and invalid, natural and unnatural, good and bad, and instead communicate the fullness of who we are to each other, respectfully, with compassion.

Some of our modern history is extraordinary in what it shows us of cooperation and compassion, and some of it is a master class in excluding the most marginalized "for the greater good" of the most privileged.

You read your little books about teenagers falling in love with thousand-year-old vamps. Our skin is supposed to sparkle like a unicorn’s arse, right? And you all get a happy ending. Wrong. Those books are crap.

The CN paints a false reality and says things about you that aren’t true, but you question yourself, wondering if they are right because they sound so confident and act like they know more than you, and you feel like you can’t think straight. They twist your words and confuse you with strange thinking. This leaves you questioning and doubting yourself constantly. You feel weak, confused, and fearful about your future. You feel alone.

I love you more than life itself, Arodi, you mean everything to me. I'm lost without you. I swear by all that is holy and sacred to me that I will never leave you, and I won't die on you. I'm never going to leave you alone.

A vital point, when considering sex, is one that has been made over and over again by scientists, by philosophers of science, by sociologists and historians of science: that we cannot divorce a singular, unified “Science” from the broader cultures that create and sustain it. What we observe, what we think about what we observe, how we analyze our thoughts, what we pass on to others are all shaped by cultural forces beyond our personal control.

You're a hope-killer. 'Cause at least if you'd done it on your back, that's something we c'n understand. Something we c'n do ourselves. But kindness? Luck like that-- it's a million-to-one chance, and you already took the one chance going.

We are creatures of the Wild Hunt, and we could never be anything else. If you feel we go too far, it’s only because you are living a lie about your true nature.” The corner of his mouth curled. “Because underneath it all, you are as vicious as the rest of us.

At the beginning of a relationship with a covert narcissist, you feel incredibly valued. Then you begin to experience little things, statements they make, looks they give that begin to demean and devalue you. It is all very subtle. Over a long period of time, you are given the message by someone you love and trust that you have no value, no matter what you do, no matter how kind you are, no matter how much you do for them, you will never ever be enough for them. The cold, hard truth is you do not matter to them, and unfortunately, the message you end up receiving is that you do not matter, period. The confusing thing is that while you are being devalued, you are also experiencing kindness. You receive beautiful love letters, affection, and loving gestures. You continue to believe this is a good relationship, and your partner loves you. You tell everyone around you how lucky you are to have the partner you do because you sincerely believe that. Your friends tell you they wish their husband/wife/partner was more like yours. However, though you are saying all of these things, you don’t notice your self-image and self-worth slowly declining over time. Through the years, you notice your health isn’t great, you feel depressed, you aren’t that happy, but you contribute these things to other things in life or blame yourself. The way your CN partner treats you goes unnoticed because it has become your normal. You don’t notice the consistent devaluing because it is so subtle. You don’t realize how you feel is a result of the trauma of living with an abuser.

Prime numbah be like me—ornery and forspecial. It gotta be a numbah don’t nevvah divide even ’ceptin by one and its own-self. Two is prime, ’cause you can divide it by one an’ two, but it’s the only even numbah that’s prime. You c’n take out all the res’ dat’s even.

–Dime más cosas bonitas. –Me gustas, Midori. –¿Cuánto? –Me gustas como un oso en primavera. –¿«Un oso en primavera»? –Midori volvió a levantar la cabeza–. ¿Qué es esto? ¡«Un oso en primavera»! –Imagina que paseas sola por un prado y se te acerca un osito cn la piel aterciopelada y unos ojazos. De pronto el osito te dice: «¡Buenos fías señorita! ¿Quiere usted rodar conmigo?» Entonces tú y el osito os pasais el día entero rodando abrazados por una ladera sembrada de tréboles. Es bonito, ¿no? –Muy bonito. –Pues a mi me gustas tanto como eso.

A picture had emerged from some dark corner of the internet of Torin rising from the ocean waves like a sea god, droplets glistening off his thickly corded muscles. With his sly grin and perfect features, his overall appearance was much like Henry Cavill in The Tudors crossed with Poseidon.

Focusing on the needs of those with a lighter burden to bear is not "objective" or "pragmatic", but it is a confirmation of historic societal prejudices that say that some lives matter more than others, some lives are too "complicated" to be worth caring for, some oppression are just too entrenched to change.

Quit making my living room cold,” shouted Elise. “What’s the matter with you? Fool. That’s what happens when you spend too much time celibate. Lose your temper over every damn thing, drive up everyone’s heating bill with the cold air from your magic. No one wants to pay for that. No wonder you’re still single.

I frowned. “I didn’t know Clovians were allowed to have more than one wife.” “We aren’t typical Clovians,” said the count. You don’t say. “Care to elaborate?” I asked. “No.” Silver light glinted in his eyes. Despite everything else I knew about him, his eyes were a marvel—large, mournful, pale light framed by darkness. “Is Sourial married?” I asked. “Why are you asking about him?” A blade of steel undercut in his tone. “Just making conversation.” “Sourial and I are unusual among our kind. We have no wives.” “Will he be at the party, too?” “Making conversation again, are you?” He murmured. “Oh yes. My people call it chit-chatting.” “It’s a terrible habit.” “Some day, Count Saklas, you are going to have fun. And it is going to blow your mind.” “I’d rather keep my mind intact.

The hypocrisy in telling young people who are genuinely desperate for treatment that it’s too risky for them to have it—even after they have jumped through so many safeguarding hoops—while sanctioning, encouraging, other kinds of risk distresses me. It has everything to do with cultural norms, and nothing to do with keeping children safe while still allowing them their autonomy. We have to move forward from the idea that it is somehow a shame, a failure, for a child to grow up to be trans. We have to start approaching this subject with young people’s best interests at heart, not our own concerns and judgments about how we would want our children to conform. Being trans is not a fate anyone needs saving from. But everyone, every child, needs to be loved for who they truly are, without conditions.

Everyone on your horses. Nia, you’re riding with me.” The hem of my dress hikes up to my hips as I climb into the saddle. I shift forward, gripping the horse’s pommel, the cool night air sweeping over my bare thighs. Raphael mounts behind me, pressing close against me, his body warm and firm. He reaches around me for the reins. I lean back against his chest. Heat radiates from his body, warming mine.

Bein married to Joe … aw, shit! What’s any marriage like? I guess they are all different ways, but there ain’t one of em that’s what it looks like from the outside, I c’n tell you that. What people see of a married life and what actually goes on inside it are usually not much more than kissin cousins. Sometimes that’s awful, and sometimes it's funny, but usually it’s like all the other parts of life - both things at the same time.

Traveled so far, and not yet have they come across anything of interest, he mused, except, of course, for that nest of goblins I managed to stir up. Indeed, his brother had always been a valiant fool; why not give him some excitement? He always did possess a love for a good fight, and who am I to deny him? The glass sphere, responding to his thoughts, zoomed in on the mountain nearby where Shrukian camped, and by putting both his hands on the sphere's sides and closing his eyes, Pharun could all but smell the power that radiated from its depths. He could taste it on the back of his tongue, and it awake all sorts of things inside of him. The power tasted of death and ash, and it was scalding hot, pouring down his throat like blood of the freshly dead. He did not need further searching to know what kind of power he was sampling. He smiled to himself, and it came out a satisfied smirk.

You’ve proven yourself to be the same self-obsessed twat you always were. You don’t have to be wealthy to think you’re better than everyone else, do you? To some people, arrogance comes just as naturally as breathing. And in reality, Raphael, I saved your ass more than once, you egomaniacal, solipsistic, stuck-up prick. Do not speak to me again unless it’s an order. Unless it’s life or death. You’re not good enough to speak to me, and you never were.

POEM – MY AMAZING TRAVELS [My composition in my book Travel Memoirs with Pictures] My very first trip I still cannot believe Was planned and executed with such great ease. My father, an Inspector of Schools, was such a strict man, He gave in to my wishes when I told him of the plan. I got my first long vacation while working as a banker One of my co-workers wanted a travelling partner. She visited my father and discussed the matter Arrangements were made without any flutter. We travelled to New York, Toronto, London, and Germany, In each of those places, there was somebody, To guide and protect us and to take us wonderful places, It was a dream come true at our young ages. We even visited Holland, which was across the Border. To drive across from Germany was quite in order. Memories of great times continue to linger, I thank God for an understanding father. That trip in 1968 was the beginning of much more, I visited many countries afterward I am still in awe. Barbados, Tobago, St. Maarten, and Buffalo, Cirencester in the United Kingdom, Miami, and Orlando. I was accompanied by my husband on many trips. Sisters, nieces, children, grandchildren, and friends, travelled with me a bit. Puerto Rico, Los Angeles, New York, and Hialeah, Curacao, Caracas, Margarita, Virginia, and Anguilla. We sailed aboard the Creole Queen On the Mississippi in New Orleans We traversed the Rockies in Colorado And walked the streets in Cozumel, Mexico. We were thrilled to visit the Vatican in Rome, The Trevi Fountain and the Colosseum. To explore the countryside in Florence, And to sail on a Gondola in Venice. My fridge is decorated with magnets Souvenirs of all my visits London, Madrid, Bahamas, Coco Cay, Barcelona. And the Leaning Tower of Pisa How can I forget the Spanish Steps in Rome? Stratford upon Avon, where Shakespeare was born. CN Tower in Toronto so very high I thought the elevator would take me to the sky. Then there was El Poble and Toledo Noted for Spanish Gold We travelled on the Euro star. The scenery was beautiful to behold! I must not omit Cartagena in Columbia, Anaheim, Las Vegas, and Catalina, Key West, Tampa, Fort Lauderdale, and Pembroke Pines, Places I love to lime. Of course, I would like to make special mention, Of two exciting cruises with Royal Caribbean. Majesty of the Seas and Liberty of the Seas Two ships which grace the Seas. Last but not least and best of all We visited Paris in the fall. Cologne, Dusseldorf, and Berlin Amazing places, which made my head, spin. Copyright@BrendaMohammed

Readin' all those books makes me wonder whether anyone ever dies natural." " They don't," said William mysteriously. " Robert says so. At least he says there's hundreds an' thousands of murders what no one finds out. You see, you c'n only find out a person's died nacheral by cuttin' 'em up an' they've not got time to cut everyone up what dies. They've simply not got the time. They do it like what they do with our desks at school. They jus' open one sometimes to see if it's all right. They've not got time to open 'em all every day. An' same as every time they do open a desk they find it untidy, jus' in the same way whenever they do cut anyone dead up they find he's been poisoned. Practically always. Robert says so. He says that the amount of people who poison people who aren't cut up and don't get found out mus' be enormous. Jus' think of it. People pois'nin' people all over the place an' no one findin' out. If I was a policeman I'd cut everyone dead up. But they aren't any use, policemen aren't. Why, in all those books I've read there hasn't been a single policeman that was any good at all. They simply don't know what to do when anyone murders anyone. Why, you remember in ' The Mystery of the Yellow Windows,' the policemen were s' posed to have searched the room for clues an' they di'n't notice the cigarette end what the murd'rer had left in the fender and what had the address of the people what made it on it an' what was a sort they made special for him. Well, that shows you what the policemen are, dun't it ? I mean, they look very swanky in their hats an' buttons an' all that, but when it comes to a murder or cuttin' dead people up or findin' out murd'rers, they aren't any good at all. Why, in all those myst'ry tales we've read, it's not been the police that found the murd'rers at all. It's been ordinary people same as you an' me jus' usin' common sense an' pickin' up cigarette ends an' such-like. . . . Tell you what it is," he said, warm- ing to his theme, " policemen have gotter be stupid 'cause of their clothes. I mean, all the policemen's clothes are made so big that they've gotter be very big men to fit 'em an' big men are always stupid 'cause of their strength all goin' to their bodies 'stead of their brains. That stands to reason, dun't it ?

Even when a word has been in usage for a long time, those whop are suspicious of what that means in terms of gender are quick to claim the change is too fast. 'They' has been used as a singular pronoun in English for hundreds of years; we find examples of the singular 'they' in the works of Shakespeare, Austen, and Swift. But trans people like me, who use the pronoun 'they' as a gender-neutral alternative to 'he' or 'she,' are often mislabeled in the media by editors who struggle with its usage. By implying that trans people are faddish and difficult about words, writers can cast aspersions on the validity of our language - and our selves. By claiming that our words are too hard to understand, the media perpetuates the idea that we are too hard to understand, and suggests that there's no point in trying.

In order for A to apply to computations generally, we shall need a way of coding all the different computations C(n) so that A can use this coding for its action. All the possible different computations C can in fact be listed, say as C0, C1, C2, C3, C4, C5,..., and we can refer to Cq as the qth computation. When such a computation is applied to a particular number n, we shall write C0(n), C1(n), C2(n), C3(n), C4(n), C5(n),.... We can take this ordering as being given, say, as some kind of numerical ordering of computer programs. (To be explicit, we could, if desired, take this ordering as being provided by the Turing-machine numbering given in ENM, so that then the computation Cq(n) is the action of the qth Turing machine Tq acting on n.) One technical thing that is important here is that this listing is computable, i.e. there is a single computation Cx that gives us Cq when it is presented with q, or, more precisely, the computation Cx acts on the pair of numbers q, n (i.e. q followed by n) to give Cq(n). The procedure A can now be thought of as a particular computation that, when presented with the pair of numbers q,n, tries to ascertain that the computation Cq(n) will never ultimately halt. Thus, when the computation A terminates, we shall have a demonstration that Cq(n) does not halt. Although, as stated earlier, we are shortly going to try to imagine that A might be a formalization of all the procedures that are available to human mathematicians for validly deciding that computations never will halt, it is not at all necessary for us to think of A in this way just now. A is just any sound set of computational rules for ascertaining that some computations Cq(n) do not ever halt. Being dependent upon the two numbers q and n, the computation that A performs can be written A(q,n), and we have: (H) If A(q,n) stops, then Cq(n) does not stop. Now let us consider the particular statements (H) for which q is put equal to n. This may seem an odd thing to do, but it is perfectly legitimate. (This is the first step in the powerful 'diagonal slash', a procedure discovered by the highly original and influential nineteenth-century Danish/Russian/German mathematician Georg Cantor, central to the arguments of both Godel and Turing.) With q equal to n, we now have: (I) If A(n,n) stops, then Cn(n) does not stop. We now notice that A(n,n) depends upon just one number n, not two, so it must be one of the computations C0,C1,C2,C3,...(as applied to n), since this was supposed to be a listing of all the computations that can be performed on a single natural number n. Let us suppose that it is in fact Ck, so we have: (J) A(n,n) = Ck(n) Now examine the particular value n=k. (This is the second part of Cantor's diagonal slash!) We have, from (J), (K) A(k,k) = Ck(k) and, from (I), with n=k: (L) If A(k,k) stops, then Ck(k) does not stop. Substituting (K) in (L), we find: (M) If Ck(k) stops, then Ck(k) does not stop. From this, we must deduce that the computation Ck(k) does not in fact stop. (For if it did then it does not, according to (M)! But A(k,k) cannot stop either, since by (K), it is the same as Ck(k). Thus, our procedure A is incapable of ascertaining that this particular computation Ck(k) does not stop even though it does not. Moreover, if we know that A is sound, then we know that Ck(k) does not stop. Thus, we know something that A is unable to ascertain. It follows that A cannot encapsulate our understanding.