Academics From Ireland

"Things happen. We had not wanted them to happen. They had arisen out of the ashes of chance."

"The core reason for it all was beauty. Walking was a divine delight. Everything was rewritten when he was up in the air. New things were possible with the human form. It went beyond equilibrium. He felt for a moment uncreated. Another kind of awake."

"I know already that I will return to this day whenever I want to. I can bid it alive. Preserve it. There is a still point where the present, the now, winds around itself, and nothing is tangled. The river is not where it begins or ends, but right in the middle point, anchored by what has happened and what is to arrive. You can close your eyes and there will be a light snow falling in New York, and seconds later you are sunning upon a rock in Zacapa, and seconds later still you are surfing through the Bronx on the strength of your own desire. There is no way to find a word to fit around this feeling. Words resist it. Words give it a pattern it does not own. Words put it in time. They freeze what cannot be stopped. Try to describe the taste of a peach. Try to describe it."

"She recognized a new depth in him, a candor. The war was about vanity, he said. It was about old men who couldn't look in the mirror anymore and so they sent the young out to die. War was a get-together of the vain. They wanted it simple - hate your enemy, know nothing of him. It was, he claimed, the most un-American of wars, no idealism behind it, only about defeat."

"There are moments we return to, now and always. Family is like water - it has a memory of what it once filled, always trying to get back to the original stream."

"Death, the greatest democracy of them all. The world's oldest complaint. Happens to us all. Rich and poor. Fat and thin. Fathers and daughters. Mothers and sons."

"If you think you know all the secrets, you think you know all the cures."

"Grow up, brother. Pack your bags, go somewhere you matter. They deserve nothing. They're not Magdalenes. You're just a bum among them. You're looking for the poor man within? Why don't you humble yourself at the feet of the rich for once? Or does your God just love useless people?"

"I recalled the myth that I had once heard as a university student — thirty-six hidden saints in the world, all of them doing the work of humble men, carpenters, cobblers, shepherds. They bore the sorrows of the earth and they had a line of communication with God, all except one, the hidden saint, who was forgotten. The forgotten one was left to struggle on his own, with no line of communication to that which he so hugely needed. Corrigan had lost his line with God: he bore the sorrows on his own, the story of stories."

"The watchers below pulled in their breath all at once. The air felt suddenly shared. The man above was a word they seemed to know, though they had not heard it before."

"You know, when you're young, God sweeps you up. He holds you there. The real snag is to stay there and to know how to fall. All those days when you can't hold on any longer. When you tumble. The test is being able to climb up again."

"Pain's nothing. Pain's what you give, not what you get."

"I knew then that it would end badly, her and Corrigan, these children. Someone or other was going to get torn asunder. And yet why shouldn't they fall in love, if even just for a short while? Why shouldn't Corrigan live his life in the body that was hurting him, giving up in places? Why shouldn't he have a moment of release from this God of his? It was a torture shop for him, worrying about the world, having to deal with intricacies when what he really wanted was to be ordinary and do the simple thing.Yet nothing was simple, certainly not simplification. Poverty, chastity, obedience — he had spent his life in fealty to them, but was unarmed when they turned against him."

"We have all heard of these things before. The love letter arriving as the teacup falls. The guitar striking up as the last breath sounds out. I don't attribute it to God or to sentiment. Perhaps it's chance. Or perhaps chance is just another way to try to convince ourselves that we are valuable."

"You want to arrest the clocks, stop everything for half a second, give yourself a chance to do it over again, rewind the life, uncrash the car, run it backward, have her lift miraculously back into the windshield, unshatter the glass, go about your day untouched, some old, lost sweet-tasting time. But there it was again, the girl's spreading bloodstain."

"At a certain stage every single thing can be a sign."

"The repeated lies become history, but they don't necessarily become the truth."

"Freedom was a word that everyone mentioned but none of us knew. There wasn't much left for anyone to die for, except the right to remain peculiar."

"He believed in walking beautifully, elegantly. It had to work as a kind of faith that he would get to the other side. He had fallen once while training - once exactly, so he felt it couldn't happen again, it was beyond possibility. A single flaw was necessary anyway. In any work of beauty there had to be one small thread left hanging."

"Everything had purpose, signal, meaning."

"He had a theory about it. It happened, and re-happened, because it was a city uninterested in history. Strange things occurred precisely because there was no necessary regard for the past. The city lived in a sort of everyday present. It had no need to believe in itself as a London, or an Athens, or even a signifier of the New World, like a Sydney, or a Los Angeles. No, the city couldn't care less about where it stood. He had seen a T-shirt once that said: NE YORK FUCKIN' CITY. As if it were the only place that ever existed and the only one that ever would."

"New York kept going forward precisely because it didn't give a good goddamn about what it left behind. It was like the city that Lot left, and it would dissolve if it ever began looking backward over its own shoulder. Two pillars of salt. Long Island and New Jersey."

"Hours and hours of insanity and escape. The projects were a victim of theft and wind. The downdrafts made their own weather. Plastic bags caught on the gusts of summer wind. Old domino players sat in the courtyard, playing underneath the flying litter. The sound of the plastic bags was like rifle fire. If you watched the rubbish for a while you could tell the exact shape of the wind. Perhaps in a way it was alluring, like little else around it: whole, bright, slapping curlicues and large figure eights, helixes and whorls and corkscrews. Sometimes a bit of plastic caught against a pipe or touched the top of the chain-link fence and backed away gracelessly, like it had been warned. The handles came together and the bag collapsed. There were no tree branches to be caught on. One boy from a neighboring flat stuck a lineless fishing pole out the window but he didn't catch any. The bags often stayed up in one place, as if they were contemplating the whole gray scene, and then would take a sudden dip, a polite curtsy, and away."

"We seldom know what we're hearing when we hear something for the first time, but one thing is certain: we hear it as we will never hear it again. We return to the moment to experience it, I suppose, but we can never really find it, only its memory, the faintest imprint of what it really was, what it meant."

"There is something that happens to the mind in moments of terror. Perhaps we figure it's the last we'll ever have and we record it for the rest of our long journey. We take perfect snapshots, an album to despair over. We trim the edges and place them in plastic. We tuck the scrapbook away to take out in our ruined times."

"It was so much like having sex with the wind. It complicated things and blew away and softly separated and slid back around him. The wire was about pain too: it would always be there, jutting into his feet, the weight of the bar, the dryness of the throat, the throb of his arms, but the joy was losing the pain so that it no longer mattered. So too with his breathing. He wanted his breath to enter the wire so that he was nothing. This sense of losing himself. Every nerve. Every cuticle. He hit it on the towers. The logic became unfixed. It was the point where there was no time. The wind was blowing and his body could have experienced it years in advance."

"He told me once that there is no better faith than a wounded faith and sometimes I wonder if that is what he was doing all along - trying to wound his faith in order to test it - and I was just another stone in the way of his God."

"Sometimes thinking back on things is a mistake arising out of pride, but I guess you live inside a moment for years, move with it and feel it grow, and it sends out roots until it touches everything in sight."

"Those who saw him hushed. On Church Street. Liberty. Cortlandt. West Street. Fulton. Vesey. It was a silence that heard itself, awful and beautiful."

"He wondered if that was what the moment of death was about, the noise of the world and then ease away from it."

"He used to carry on, long trains of algebraic and arithmetical calculations in his mind, during which he was unconscious of the earthly necessity of eating; we used to bring in a 'snack' and leave it in his study, but a brief nod of recognition of the intrusion of the chop or cutlet was often the only result, and his thoughts went on soaring upwards."

"The minimum principle that unified the knowledge of light, gravitation, and electricity of Hamilton's time no longer suffices to relate these fundamental branches of physics. Within fifty years of its creation, the belief that Hamilton's principle would outlive all other physical laws of physics was shattered. Minimum principles have since been created for separate branches of physics... but these are not only restricted... but seem to be contrived... A single minimum principle, a universal law governing all processes in nature, is still the direction in which the search for simplicity is headed, with the price of simplicity now raised from a mastery of differential equations to a mastery of the calculus of variations."

"Hamilton was a man who combined different talents to an extent which is often attributed, by exaggeration, to the possessor of one powerful faculty: but in his case there is abundant evidence. He was scholar, poet, metaphysician, mathematician, and natural philosopher. Highly imaginative and fluent of tongue, he was an orator in all that he knew; even in mathematics, to the details of which he could give almost a rhetorical cast in a letter. In metaphysics he was very well read, and could talk in a way which suggested a comparison to Southey, and a difference. Hamilton one day preached to Southey on this subject until the latter remarked, as they passed a ploughman, "If you had been Coleridge, you would have talked to that ploughman just as you have been talking to me.""

"It still remained to be seen whether the laws of motion, as dependent on moving forces, could also be consistently transferred to spherical or pseudospherical space. This investigation has been carried out by Professor Lipschitz of Bonn. It is found that the comprehensive expression for all the laws of dynamics, , may be directly transferred to spaces of which the measure of curvature is other than zero. Accordingly, in this respect also, the disparate systems of geometry lead to no contradiction."

"… an undercurrent of thought was going on in my mind which gave at last a result, whereof it is not too much to say that I felt at once the importance. An electric circuit seemed to close; and a spark flashed forth the herald (as I foresaw immediately) of many long years to come of definitely directed thought and work by myself, if spared, and, at all events, on the part of others if I should even be allowed to live long enough distinctly to communicate the discovery. Nor could I resist the impulse - unphilosophical as it may have been - to cut with a knife on a stone of Brougham Bridge, as we passed it, the fundamental formula which contains the Solution of the Problem, but of course, as an inscription, has long since mouldered away."

"To the scientists of 1850, Hamilton's principle was the realization of a dream. ...from the time of Galileo scientists had been striving to deduce as many phenomena of nature as possible from a few fundamental physical principles. ...they made striking progress ...But even before these successes were achieved Descartes had already expressed the hope and expectation that all the laws of science would be derivable from a single basic law of the universe. This hope became a driving force in the late eighteenth century after Maupertuis's and Euler's work showed that optics and mechanics could very likely be unified under one principle. Hamilton's achievement in encompassing the most developed and largest branches of physical science, mechanics, optics, electricity, and magnetism under one principle was therefore regarded as the pinnacle of mathematical physics."

"Hamilton was not only an Irishman, but Irish: and this with curious oppositions of character. He was a non-combatant: there was too much kindness in his disposition to allow any fight to show itself. Impulsive and enthusiastic, with strong opinions and new views, he was never engaged in a scientific controversy... William Rowan Hamilton's preservative was his dread of wounding the feelings of others. In his youth, "Defender of the Absent" was his nickname. ...He had a morbid fear of being a plagiarist; and the letters which he wrote to those who had treated like subjects with himself sometimes contained curious and far-fetched misgivings about his own priority. But, with all this, there was a touch of the national temperament in him... an Irishman who never gets into a row may give quick but quiet symptoms of opposition of opinion, and of what, were it more than a rudiment, would be called pugnacity."

"Time is said to have only one dimension, and space to have three dimensions. ... The mathematical quaternion partakes of both these elements; in technical language it may be said to be 'time plus space', or 'space plus time': and in this sense it has, or at least involves a reference to, four dimensions. And how the One of Time, of Space the Three, Might in the Chain of Symbols girdled be."

"To admire is, to me, questionless, the highest pleasure of life."

"The difficulties which so many have felt in the doctrine of Negative and Imaginary Quantities in Algebra forced themselves long ago on my attention... And while agreeing with those who had contended that negatives and imaginaries were not properly quantities at all, I still felt dissatisfied with any view which should not give to them, from the outset, a clear interpretation and meaning... It early appeared to me that these ends might be attained by our consenting to regard Algebra as being no mere Art, nor Language, nor primarily a Science of Quantity; but rather as the Science of Order in Progression. It was, however, a part of this conception, that the progression here spoken of was understood to be continuous and unidimensional: extending indefinitely forward and backward, but not in any lateral direction. And although the successive states of such a progression might (no doubt) be represented by points upon a line, yet I thought that their simple successiveness was better conceived by comparing them with moments of time, divested, however, of all reference to cause and effect; so that the "time" here considered might be said to be abstract, ideal, or pure, like that "space" which is the object of geometry. In this manner I was led, many years ago, to regard Algebra as the Science of Pure Time: and an Essay, containing my views respecting it as such, was published in 1835. ...[I]f the letters A and B were employed as dates, to denote any two moments of time, which might or might not be distinct, the case of the coincidence or identity of these two moments, or of equivalence of these two dates, was denoted by the equation,B = Awhich symbolic assertion was thus interpreted as not involving any original reference to quantity, nor as expressing the result of any comparison between two durations as measured. It corresponded to the conception of simultaneity or synchronism; or, in simpler words, it represented the thought of the present in time. Of all possible answers to the general question, "When," the simplest is the answer, "Now:" and it was the attitude of mind, assumed in the making of this answer, which (in the system here described) might be said to be originally symbolized by the equation above written."

"It may not sound very consistent with any such professed humility on my part, if I say to you that, after having served for the Quaternions during fourteen years, and having (as America seems to think) won my Rachel—to be my own by an intellectual marriage—I now wish to wind up several scientific projects, from which those quaternions had for a long time diverted me; and feel as if I were entering, or had already entered, on a new harvest of labour and reputation. As to Fame, if it have not been won or earned already, it is not likely that any future exertion will make it mine. But as to the Labour; that is a thing within everybody's power to judge of, even for himself. I have very long admired Ptolemy's description of his great astronomical Master, Hipparchus... "a labour-loving and truth-loving man."—Be such my epitaph!"

"The Study of Algebra may be pursued in three very different schools, the Practical, the Philological, or the Theoretical, according as Algebra itself is accounted an Instrument, or a Language, or a Contemplation; according as ease of operation, or symmetry of expression, or clearness of thought, (the agere, the fari, or the sapere,) is eminently prized and sought for."

"Hamilton was apt to work by fits and starts. He has been known several times to work fourteen hours in one day, standing nearly all the while; but there were intervals of comparative inaction... Sometimes a letter was written and copied which was not sent for months, and then only the first sheet, with promise of the rest. It has even happened that the letter was knowingly never forwarded at all, and that when, long after, he found reason to wish to send it, he could not find it and sent the copy instead."

"Rail travel at high speed is not possible because passengers, unable to breathe, would die of asphyxia."

"The beginnings of science have often the appearance of chance. A felicitous accident throws a certain natural fact under the notice of an inquiring and philosophic mind. Attention is awakened and investigation provoked. Similar phenomena under varied circumstances are eagerly sought for; and if in the natural course of events they do not present themselves, circumstances are designedly arranged so as to bring about their production. The seeds of science are thus sown, and soon begin to germinate."

"In this science the illustrations and examples are not confined in their effect merely to the practice they afford in the analytical art, but [...] they also store the mind with independent geometrical and physical knowledge. Besides, it should be considered, that the only effectual method of impressing abstract formulae and rules upon the memory, and, indeed, of making them fully and clearly apprehended by the understanding, is by examples of their practical application."

"Science has been advancing without interruption during the last three of four hundred years; every new discovery has led to new problems and new methods of solution, and opened up new fields for exploration. Hitherto men of science have not been compelled to halt, they have always found ways to advance further. But what assurance have we that they will not come up against impassable barriers? ...Take biology or astronomy. How can we be sure that some day progress may not come to a dead pause, not because knowledge is exhausted, but because our resources for investigation are exhausted... It is an assumption, which cannot be verified, that we shall not reach a point in our knowledge of nature beyond which the human intellect is unqualified to pass."

"Socrates was the greatest of the educationalists, but unlike the others he taught gratuitously, though he was a poor man. His teachings always took the form of discussion; the discussion often ended in no positive result, but had the effect of showing that some received opinion was untenable and the truth is difficult to ascertain."

"The doubts that Mr. Balfour expressed nearly thirty years ago, in an Address delivered in Glasgow, have not, so far, been answered. And it is probable that many people, to whom six years ago the notion of a sudden decline or break-up of our western civilisation, as a result not of cosmic forces but of its own development, would have appeared almost fantastic, will feel much less confident to-day, notwithstanding the fact that the leading nations of the world have instituted a league of peoples for the prevention of war, the measure to which so many high priests of Progress have looked forward as meaning a long stride forward on the road to Utopia."

"Some people speak as if we were not justified in rejecting a theological doctrine unless we can prove it false. But the burden of proof does not lie upon the rejecter. I remember a conversation in which, when some disrespectful remark was made about hell, a loyal friend of that establishment said triumphantly, "But, absurd as it may seem, you cannot disprove it." If you were told that in a certain planet revolving around Sirius there is a race of donkeys who speak the English language and spend their time in discussing eugenics, you could not disprove the statement, but would it, on that account, have any claim to be believed? Some minds would be prepared to accept it, if it were reiterated often enough, through the potent force of suggestion."