Neumann Quotes

He was "a magician, a magician in the sense that he took what was given and simply forced the conclusions logically out of it, whether it was algebra, geometry, or whatever. He had some way of forcing out the results that made him different from the rest of the people." Israel Halperin about von Neumann ~ Robert Leonard

The result of this one-sided patriarchal stance, demonstrable in all areas of life, is an un integrated man who is attacked by his repressed side and often enough overwhelmed by it. This transpires not only in the fate of the individual man as seduction by a "lower" anima, but equally through seduction by a compensatory ideology, for example materialism, to which "spirit" men are especially susceptible.
The man wants to remain exclusively masculine and out of fear rejects the transformative contact with a woman of equal status. Negativizing the Feminine in the patriarchate prevents the man from experiencing woman as a thou of equal but different status, and hence from coming to terms with her. The consequence of the patriarchal male's haughtiness toward women leads to the inability to make any genuine contact with the Feminine, i.e., not only in a real woman but also with the Feminine in himself, the unconscious. Whenever an integral relationship to the Feminine remains undeveloped, however, this means that, due to his fear, the male is unable to break through to his own wholeness that also embraces the Feminine. Thus the patriarchal culture's separation from the Feminine and from the unconscious becomes one of the essential causes for the crisis of fear in which the patriarchal world now finds itself. ~ Erich Neumann

In a word, the woman first exists as a mother, and the man first exists as a son.10 ~ Erich Neumann

However, the natural symbol, without our being sufficiently conscious of the fact, is identical with the reality of the world that appears to us, for every object in the natural world is at the same time a symbolic reality to us. The psyche certainly does not use an "object" of nature as a "symbol," but rather the experience of an "object" itself is always already symbolic experience. The star or tree in us is no less real and no less symbolic than it is in outward experience. For each possibility of experience either presupposes a spiritually forming, that is to say a symbolic activity, or is identical with this. That is, everything spiritual appears to us first not just in nature but as nature; or we could formulate this just as well the other way around: everything natural, whether outward or inward, appears to us as an image, that is to say as formed spirit. We are surrounded by images, inwardly and outwardly, but at the same time formed and determined in all our experiences by the natural symbol as though by a unitary natural-spiritual reality, for our psychic system only grasps that which appears to us as the real world through the world of natural symbolism. ~ Erich Neumann

The spectacular thing about Johnny [von Neumann] was not his power as a mathematician, which was great, or his insight and his clarity, but his rapidity; he was very, very fast. And like the modern computer, which no longer bothers to retrieve the logarithm of 11 from its memory (but, instead, computes the logarithm of 11 each time it is needed), Johnny didn't bother to remember things. He computed them. You asked him a question, and if he didn't know the answer, he thought for three seconds and would produce and answer. ~ Paul R. Halmos

If I was elected God for a day, homosexuality wouldn't be permitted, but nobody's electing me God. ~ Mark Neumann

I think Barack Obama and his team believe that the federal government is best prepared to handle virtually everything in our lives. I mean, they're socialists in every respect of the word and I think they'd like to take over everything in our lives if they could, including health care. ~ Mark Neumann

The greatest reward lies in making the discovery; recognition can add little or nothing to that. ~ Franz Ernst Neumann

Furthermore, it's equally evident that what goes on is actually one degree better than self-reproduction, for organisms appear to have gotten more elaborate in the course of time. Today's organisms are phylogenetically descended from others which were vastly simpler than they are, so much simpler, in fact, that it's inconceivable, how any kind of description of the latter, complex organism could have existed in the earlier one. It's not easy to imagine in what sense a gene, which is probably a low order affair, can contain a description of the human being which will come from it. But in this case you can say that since the gene has its effect only within another human organism, it probably need not contain a complete description of what is to happen, but only a few cues for a few alternatives. However, this is not so in phylogenetic evolution. That starts from simple entities, surrounded by an unliving amorphous milieu, and produce, something more complicated. Evidently, these organisms have the ability to produce something more complicated than themselves. ~ John Von Neumann

If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. ~ John Von Neumann

... our aim has been to provide anyone who is seriously interested with an introduction to the world of the archetypes, and to make this introduction as simple as possible. For this reason we have included ... a number of schemas, or diagrams, which as experience has shown, make things much easier for most people, though by no means for all. Erich Neumann, The Great Mother, p.xii. ~ Erich Neumann

Running overtime is the one unforgivable error a lecturer can make. After fifty minutes (one microcentury as von Neumann used to say) everybody's attention will turn elsewhere. ~ Gian-Carlo Rota

Affective reactions resulting from fascination are dangerous; they amount to an invasion by the unconscious. ~ Erich Neumann

The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical construct which, with the addition of certain verbal interpretations, describes observed phenomena. The justification of such a mathematical construct is solely and precisely that it is expected to work - that is correctly to describe phenomena from a reasonably wide area. Furthermore, it must satisfy certain esthetic criteria - that is, in relation to how much it describes, it must be rather simple. ~ John Von Neumann

I believe that marriage is between one man and one woman, the same as I've believed all my life. ~ Mark Neumann

Devaluation of the Earth, hostility towards the Earth, fear of the Earth: these are all from the psychological point of view the expression of a weak patriarchal consciousness that knows no other way to help itself than to withdraw violently from the fascinating and overwhelming domain of the Earthly. For we know that the archetypal projection of the Masculine experiences, not without justice, the Earth as the unconscious-making, instinct-entangling, and therefore dangerous Feminine. At the same time the projection of the masculine anima is mingled with the living image of the Earth archetype in the unconscious of man; and the more one-sidedly masculine man's conscious mind is the more primitive, unreliable, and therefore dangerous his anima will be. However, the Earth archetype, in compensation to the divinity of the archetype of Heaven and the Father, that determined the consciousness of medieval man, is fused together with the archaic image of the Mother Goddess.
Yet in its struggle against this Mother Goddess, the conscious mind, in its historical development, has had great difficulty in asserting itself so as to reach its – patriarchal - independence. The insecurity of this conscious mind-and we have profound experience of how insecure the position of the conscious mind still is in modern man-is always bound up with fear of the unconscious, and no well-meaning theory "against fear" will be able to rid the world of this deeply rooted anxiety, which at different times ~ Erich Neumann

I'm not God, don't intend to be and hope I never have that much power. ~ Mark Neumann

The psychological analysis of any normal development will make it clear that, if he is to grow up, it is not merely unavoidable but actually essential that the individual should do and assimilate a certain amount of evil, and that he should be able to overcome the conflicts involved in this process. The achievement of independence involves the capacity of the ego not only to adopt the values of the collective but often also to secure the fulfilment of those needs of the individual which run counter to collective values – and this entails doing evil. ~ Erich Neumann

Kurt Gödel's achievement in modern logic is singular and monumental – indeed it is more than a monument, it is a landmark which will remain visible far in space and time. ... The subject of logic has certainly completely changed its nature and possibilities with Gödel's achievement." - John von Neumann ~ John Von Neumann

PROFESSOR EMERITUS WOTAN Ulm, of the University of Oxford East 5, author of the bestselling if controversial memoir Peer Reviewers and Other Idiots: A Life In Academia, had consented to give a recorded lecture on von Neumann replicators to be carried as briefing material on the US Navy twain USS Brian Cowley. ~ Terry Pratchett

Moreover, the subjective interpretation which sees the myth as a transpersonal psychic event is, in view of the myth's origins in the collective unconscious, much fairer than an attempt to interpret it objectively, ~ Erich Neumann

This original tie with the body as with something "peculiarly one's own" is the basis of all individual development. Later the ego relates to the body, to its superior powers, and to the unconscious - with which its processes are largely identified - in a different and even contrary way. As the higher principle working through the head and consciousness, the ego comes into conflict with the body, and this conflict sometimes leads to a neurotic, partial dissociation which, however, is only the product of a later overdifferentiation. ~ Erich Neumann

According to one story, Von Neumann was asked to assist with the design of a new supercomputer, required to solve a new and important mathematical problem which was beyond the capacities of existing supercomputers. He asked to have the problem explained to him, solved it in moments with pen and paper and then turned down the request. Von ~ Tim Harford

After preliminary work by a number of other distinguished mathematicians and economists, game theory as a systematic theory started with von Neumann and Morgenstern's book, 'Theory of Games and Economic Behavior,' published in 1944. ~ John Harsanyi

A system of logical instructions that an automaton can carry out and which causes the automaton to perform some organized task is called a code. ~ John Von Neumann

Any content that functions through its emotional dynamisms, such as the paralyzing grip of inertia or an invasion by instinct, belongs to the sphere of the mother, to nature. But all contents capable of conscious realization, a value, an idea, a moral canon, or some other spiritual force, are related to the father-, never to the mother-system. ~ Erich Neumann

If we are enveloped in images, we are also enveloped in forms, in spirit, which is nature, and in nature, which is spirit. Daily and continually we associate with this unified world of nature and spirit without knowing it. But only the person to whom this association has become clear understands what is meant when we talk of Sophia as a heightened and spiritualized earth. But this formulation is already distorted as well. The earth has not changed at all, it is neither heightened and spiritualized: it remains what is always was. Only the person who experiences this Earth Spirit has transformed himself, he alone is changed by it and has, perhaps, been heightened and spiritualized. However, he too remains what he always was and has only become, along with the earth, more transparent to himself in his own total reality.
Here also we must differentiate between the reality of our total existence and the differentiating formulations of our consciousness. Certainly, our consciousness makes the attempt to separate a spiritual from a natural world and to set them in opposition, but this mythical division and opposition of heaven and earth proves more and more impracticable. If, in the process of integration, consciousness allies itself with the contents of the unconscious and the mutual interpenetration of both systems leads to a transformation of the personality, a return to the primordial symbolism of the myth ensues. Above and below, heaven and earth, spirit and nature, are ex ~ Erich Neumann

In this sense, an object is of the highest degree of complexity if it can do very difficult and involved things. ~ John Von Neumann

[John] von Neumann gave me an interesting idea: that you don't have to be responsible for the world that you're in. So I have developed a very powerful sense of social irresponsibility as a result of von Neumann's advice. It's made me a very happy man ever since. But it was von Neumann who put the seed in that grew into my active irresponsibility! ~ Richard P. Feynman

In 1989, I was awarded the Von Neumann Prize in Operations Research Theory by the Operations Research Society of America and The Institute of Management Sciences. They cited my works in the areas of portfolio theory, sparse matrix techniques and the SIMSCRIPT programming language. ~ Harry Markowitz

Pascal and C are special-purpose languages for manipulating the registers and memory of a von Neumann-style computer. ~ Peter Norvig

Von Neumann languages do not have useful properties for reasoning about programs. Axiomatic and denotational semantics are precise tools for describing and understanding conventional programs, but they only talk about them and cannot alter their ungainly properties. Unlike von Neumann languages, the language of ordinary algebra is suitable both for stating its laws and for transforming an equation into its solution, all within the language. ~ John Backus

In desperation I asked Fermi whether he was not impressed by the agreement between our calculated numbers and his measured numbers. He replied, "How many arbitrary parameters did you use for your calculations?" I thought for a moment about our cut-off procedures and said, "Four." He said, "I remember my friend Johnny von Neumann used to say, with four parameters I can fit an elephant, and with five I can make him wiggle his trunk." With that, the conversation was over. ~ Freeman Dyson

Personality is built up largely by acts of introjection: contents that were before experienced outside are taken inside. ~ Erich Neumann

The four had come to an exciting decision" during the six months of the blockade threatened by the authorities, they would make the ruins a laboratory, a demonstration of how well and happily men could live with virtually no machines. They saw now the common man's wisdom in wrecking practically everything. That was the way to do it, and the hell with moderation!
"All right, so we'll heat our water and cook our food and light and warm our homes with wood fires," said Lasher.
"And walk wherever we're going," said Finnerty.
"And read books instead of watching television," said von Neumann. "The Renaissance comes to upstate New York! We'll rediscover the two greatest wonders of the world, the human mind and hand. ~ Kurt Vonnegut

On the lowest level, this loss of soul turns the man into the hen-pecked husband who lives with his wife as though she were his mother upon whom he is solely dependent in all things having to do with emotions and the inner life. But even the relatively positive case where the woman is the mistress of the inner domain and mother of the home who simultaneously has the responsibility for dealing with all the man's questions and problems having to do with emotions and the inner life, even this leads to a lack of emotional vitality and sterile one-sidedness in the man. He discharges only the "outer" and "rational" affairs of life, profession, politics, etc. Owing to his loss of soul, the world he has shaped becomes a patriarchal world that, in its soullessness, presents an unprecedented danger for humanity. In this context we cannot delve further into the significance of a full development of the archetypal feminine potential for a new, future society. ~ Erich Neumann

It is only proper to realize that language is largely a historical accident. ~ John Von Neumann

Truth is much too complicated to allow anything but approximations. ~ John Von Neumann

Computers are like humans - they do everything except think. ~ John Von Neumann

As masculine self-consciousness grows stronger, the stage of matriarchy is followed by that of division. Symptomatic of this transition period is the twin-brother motif in mythology, which expresses the mutual affinity of opposites. This division turns destructively against itself in self-mutilation and suicide. As we saw, in uroboric and matriarchal castration the will of the Great Mother was paramount. But the centroversion tendency which underlies the ego-hero's struggle for self-preservation and which first takes the form of anxiety, advances beyond the passive, narcissistic stage and turns into resistance, defiance, and aggression directed against the Great Mother, as illustrated mythologically in the story of Hippolytus. ~ Erich Neumann

In Gnosticism, the way of salvation lies in heightening consciousness and returning to the transcendent spirit, with loss of the unconscious side; whereas uroboric salvation through the Great Mother demands the abandonment of the conscious principle and a homecoming to the unconscious. ~ Erich Neumann

Woman's fear of the female Self, of the experience of the numinous archetypal Feminine, becomes comprehensible when we get a glimpse - or even only a hint – of the profound otherness of female selfhood as contrasted to male selfhood. Precisely that element which, in his fear of the Feminine, the male experiences as the hole, abyss, void, and nothingness turns into something positive for the woman without, however, losing these same characteristics. Here the archetypal Feminine is experienced not as illusion and as maya but rather as unfathomable reality and as life in which above and below, spiritual and physical, are not pitted against each other; reality as eternity is creative and, at the same time, is grounded in primeval nothingness. Hence as daughter the woman experiences herself as belonging to the female spiritual figure Sophia, the highest wisdom, while at the same time she is actualizing her connection with the musty, sultry, bloody depths of swamp-mother Earth. However, in this sort of Self-discovery woman necessarily comes to see herself as different from what presents itself to men -as, for example, spirit and father, but often also as the patriarchal godhead and his ethics. The basic phenomenon - that the human being is born of woman and reared by her during the crucial developmental phases - is expressed in woman as a sense of connectedness with all living things, a sense not yet sufficiently realized, and one that men, and especially the patriarchal male, abso ~ Erich Neumann

John von Neumann draws attention to what seemed to him a contrast. He remarked that for simple mechanisms, it is often easier to describe how they work than what they do, while for more complicated mechanisms, it is usually the other way around. ~ Edsger Dijkstra

I've owned a business for 26 years. My family isn't in politics and my supporters aren't special interest groups in Madison and Milwaukee. ~ Mark Neumann

There are, of course, many reasons to think that brains operate mostly in parallel. Individual neurons are too slow to allow brains to operate in strict serial von Neumann fashion, and ample data suggest that in any given laboratory task (and by extension, any real-world situation) many different parts of the brain are engaged simultaneously. ~ Gary F. Marcus

If one has really technically penetrated a subject, things that previously seemed in complete contrast, might be purely mathematical transformations of each other. ~ John Von Neumann

There was a seminar for advanced students in Zürich that I was teaching and von Neumann was in the class. I came to a certain theorem, and I said it is not proved and it may be difficult. Von Neumann didn't say anything but after five minutes he raised his hand. When I called on him he went to the blackboard and proceeded to write down the proof. After that I was afraid of von Neumann. ~ George Polya

Where were answers to the truly deep questions? Religion promised those, though always in vague terms, while retreating from one line in the sand to the next. Don't look past this boundary, they told Galileo, then Hutton, Darwin, Von Neumann, and Crick, always retreating with great dignity before the latest scientific advance, then drawing the next holy perimeter at the shadowy rim of knowledge. ~ David Brin

A large part of mathematics which becomes useful developed with absolutely no desire to be useful, and in a situation where nobody could possibly know in what area it would become useful; and there were no general indications that it ever would be so. ~ John Von Neumann

An element which stimulates itself will hold a stimulus indefinitely. ~ John Von Neumann

Assimilation of the feminine side is indeed a decisive problem in a man's individuation, but it remains his "private affair" since our patriarchal culture not only does not demand individuation but tends actually to reject it in the male. Assimilation of the archetypally masculine animus side of woman's nature, however, is a different matter. In modern times patriarchal culture, which no longer oppresses her and hinders her cultural participation, motivates woman to develop the opposite side of her psyche from childhood onwards. This means that women are forced into a certain degree of Self-estrangement for the sake of conscious development. Initially more is demanded of them than of men. From woman both femininity and masculinity are required, while from him only masculinity. We are speaking here of one of the complications but also one of the opportunities inherent in woman's situation for our culture that has led to there being such a high percentage of women involved in the development of modern psychology, actively through their collaboration and passively through their conflicts. ~ Erich Neumann

Von Neumann makes two important observations here: acceleration and singularity. The first idea is that human progress is exponential (that is, it expands by repeatedly multiplying by a constant) rather than linear (that is, expanding by repeatedly adding a constant). ~ Ray Kurzweil

The pleasurable qualities associated with the previous ego phase, once that system is outgrown, become painful for the ego of the next phase. ~ Erich Neumann

The total subject of mathematics is clearly too broad for any of us. I do not think that any mathematician since Gauss has covered it uniformly and fully; even Hilbert did not and all of us are of considerably lesser width quite apart from the question of depth than Hilbert. ~ John Von Neumann

It would appear that we have reached the limits of what it is possible to achieve with computer technology, although one should be careful with such statements, as they tend to sound pretty silly in 5 years. ~ John Von Neumann

Well, the cigar I smoke takes two hours."

"When a man loves a woman....O to have such a lover..."

"I gave up a $100,000 lifestyle to take this position! ~ John Neumann

Science, as well as technology, will in the near and in the farther future increasingly turn from problems of intensity, substance, and energy, to problems of structure, organization, information, and control. ~ John Von Neumann

There's a cellular automaton called TVC. After Turing, von Neumann and Chiang. Chiang's version was N-dimensional. That leaves plenty of room for data within easy reach. In two dimensions, the original von Neumann machine had to reach further and further - and wait longer and longer - for each successive bit of data. In a six-dimensional TVC automaton, you can have a three-dimensional grid of computers, which keeps on growing indefinitely - each with its own three-dimensional memory, which can also grow without bound.

And when the simulated TVC universe being run on the physical computer is suddenly shut down, the best explanation for what I've witnessed will be a continuation of that universe - an extension made out of dust. Maria could almost see it: a vast lattice of computers, a seed of order in a sea of random noise, extending itself from moment to moment by sheer force of internal logic, "accreting" the necessary building blocks from the chaos of non-space-time by the very act of defining space and time. ~ Greg Egan

There is no religion and no philosophy that can give us a comprehensive answer to the whole of our problems, and the abandonment and isolation of the individual who is given no answer, or only inadequate answers, to his question lead to a situation in which more and more cheap, obvious solutions and answers are sought and provided. As, everywhere and in all departments of life, there are contradictory schools and parties, and an equal number of contradictory answers, one of the most frequent reactions is that modern man ceases to ask questions and takes refuge in a conception that considers only the most obvious, superficial aspects, and becomes skeptical, nihilistic, and egocentric. Or, alternatively, he tries to solve all his problems by plunging headlong into a collective situation and a collective conviction, and seeks to redeem himself in this way. ~ Erich Neumann

The one thing she seems to aim at is Individuality; yet she cares nothing for individuals.8 ~ Erich Neumann

I am thinking about something much more important than bombs. I am thinking about computers. ~ John Von Neumann

so long as culture is "in balance," the individuals contained in it normally stand in an adequate relationship to the collective unconscious, even if this is only a relationship to the archetypal projections of the cultural canon and to its highest values. ~ Erich Neumann

That's the Staatsoper," says Neumann Two one night. The facade of a grand building rises gracefully, pilastered and crenelated. Stately wings soar on either side, somehow both heavy and light. It strikes Werner just then as wondrously futile to build splendid buildings, to make music, to sing songs, to print huge books full of colorful birds in the face of the seismic, engulfing indifference of the world - what pretensions humans have! Why bother to make music when the silence and wind are so much larger? Why light lamps when the darkness will inevitably snuff them? When Russian prisoners are chained by threes and fours to fences while German privates tuck live grenades in their pockets and run? Opera ~ Anthony Doerr

In the Game of Life, as in our world, self-reproducing patterns are complex objects. One estimate, based on the earlier work of mathematician John von Neumann, places the minimum size of a self-replicating pattern in the Game of Life at ten trillion squares - roughly the number of molecules in a single human cell. ~ Stephen Hawking

Can we survive technology? ~ John Von Neumann

Liberation from constraints that operate at the level of ordinary humanity
limits imposed by space and time, by the needs of the body, and by the opaqueness of the computer-like mind. All three examples [Jacob Lorber, Edgar Cayce, and Therese Neumann] illustrates the paradoxical truth that such 'higher powers' cannot be acquired by any kind of attack or conquest conducted by the human personality; only when the striving for 'power' has entirely ceased and been replaced by a certain transcendental longing, often called the love of God, may they, or may they not be 'added unto you. ~ E.F. Schumacher

You don't have to be responsible for the world that you're in. ~ John Von Neumann

Ancient astrology, and, to some degree,
its modern descendant, are compelling mixtures of science (or pseudo-science) and classical myth.
Jung interpreted astrology as the psychology of antiquity.
The stars and planets, he suggested, are 'archetypal images': manifestations of the collective unconscious. Jung's student, Erich Neumann, developed his ideas on archetypes, especially in relation to the archetype of the nurturing Goddess. His ideas were influential upon those who later promoted goddess worship, a central element in most (though not all) New Age practice. New Agers believe that the energy of the cosmos flows from one single source (monism), and that what we call 'god'
or 'goddess' is a principle identified with the cosmos. New Age philosophy has embraced the idea that goddess worship originated in prehistoric times, when, broadly speaking, matriarchal society preceded the patriarchal order, and people worshipped the 'Great Goddess'. ~ Helen Morales

Young man, in mathematics you don't understand things. You just get used to them. ~ John Von Neumann

As a mathematician, von Neumann was quick, brilliant, efficient, and enormously broad in scientific interests beyond mathematics itself. He knew his technical abilities; his virtuosity in following complicated reasoning and his insights were supreme; yet he lacked absolute self confidence. ~ Stanislaw Ulam

THE VASTNESS OF OUR MEMORY
Holography also explains how our brains can store so many memories in so little space. The brilliant Hungarian-born physicist and mathematician John von Neumann once calculated that over the course of the average human lifetime, the brain stores something on the order of 2. 8 x 1020 (280, 000, 000, 000, 000, 000, 000) bits of information. This is a staggering amount of information, and brain researchers have long struggled to come up with a mechanism that explains such a vast capability. Interestingly, holograms also possess a fantastic capacity for information storage. By changing the angle at which the two lasers strike a piece of photographic film, it is possible to record many different images on the same surface. Any image thus recorded can be retrieved simply by illuminating the film with a laser beam possessing the same angle as the original two beams. By employing this method researchers have calculated that a one-inch-square of film can store the same amount of information contained in fifty Bibles! ~ Michael Talbot

In Sanskrit, "independent woman" is a synonym for a harlot. Hence the woman who is unattached to a man is not only a universal feminine type but a sacral type in antiquity. ~ Erich Neumann

Anyone who attempts to generate random numbers by deterministic means is, of course, living in a state of sin. ~ John Von Neumann

As the Great Creatrix, the feminine is no vessel and passage for an alien, masculine Other that condescends towards her, enters into her, and favors her with the seed of living. Life originates in her and issues from her, and the light that appears projected on the night sky, which she is herself, is rooted in her depths. For she is not only the protomantis, the first and great Prophetess, but also she who gives birth to the Spirit-Light, which, like consciousness and the illumination that arises in transformation, is rooted in her creative efficacy. She is the creative Earth, which not only brings forth and swallows life, but as that which transforms also lets the dead thing be resurrected and leads the lower to the higher. All developments and transformations that lead from the simple and insignificant through all gradations of life to the complicated and intricately differentiated fall under her sovereignty. This matriarchal world is geocentric; the stars and signs of the zodiac are the heavenly girdle of the Earth Goddess and are arranged around her as the true center around which everything revolves. ~ Erich Neumann

When part of this ecosystem was lacking, such as for John Atanasoff at Iowa State or Charles Babbage in the shed behind his London home, great concepts ended up being consigned to history's basement. And when great teams lacked passionate visionaries, such as Penn after Mauchly and Eckert left, Princeton after von Neumann, or Bell Labs after Shockley, innovation slowly withered. ~ Walter Isaacson

I see a bright future for the biotechnology industry when it follows the path of the computer industry, the path that von Neumann failed to foresee, becoming small and domesticated rather than big and centralized. ~ Freeman Dyson

a little redheaded girl in a maroon cape emerges from a doorway, maybe six or seven years old, small for her age, with big clear eyes that remind him of Jutta's. She runs across the street to the park and plays there alone, beneath the budding trees, while her mother stands on the corner and bites the tips of her fingers. The girl climbs into the swing and pendulums back and forth, pumping her legs, and watching her opens some valve in Werner's soul. This is life, he thinks, this is why we live, to play like this on a day when winter is finally releasing its grip. He waits for Neumann Two to come around the truck and say something crass, to spoil it, but he doesn't, and neither does Bernd, maybe they don't see her at all, maybe this one pure thing will escape their defilement, and the girl sings as she swings, a high song that Werner recognizes, a counting song that girls jumping rope in the alley behind Children's House used to sing, Eins, zwei, Polizei, drei, vier, Offizier, and how he would like to join her, push her higher and higher, sing fünf, sechs, alte Hex, sieben, acht, gute Nacht! ~ Anthony Doerr

I must quote from Dr. Faustus, with which the tragedy ends: "Often he talked of eternal grace, the poor man, and I don't know if it will be enough. But an understanding heart, believe me, is enough for everything."
Let us understand these words correctly. They are not proud or arrogant; on the contrary they are desperately modest. We really do not know any longer whether grace is enough, precisely because we are as we are and are beginning to see ourselves as we are. But at a time of overwhelming crisis, the questionable nature of grace, or rather our knowledge that we are unworthy of grace, compels us to understand and love mankind, the fallible mankind that we ourselves are. Behind this abysmal crisis, the archetype of the Eternal Feminine as earth and as Sophia would seem to be discernible; it is no accident that these words are spoken by Frau Schweigestill, the mother. That is to say, it is precisely in chaos, in hell, that the New makes its appearance. Did not Kwanyin descend into hell rather than spend her time with the serene music makers in heaven? ~ Erich Neumann

When we talk mathematics, we may be discussing a secondary language built on the primary language of the nervous system. ~ John Von Neumann

The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking. ~ John Von Neumann

All stable processes we shall predict. All unstable processes we shall control. ~ John Von Neumann

The other line of argument, which leads to the opposite conclusion, arises from looking at artificial automata. Everyone knows that a machine tool is more complicated than the elements which can be made with it, and that, generally speaking, an automaton A, which can make an automaton B, must contain a complete description of B, and also rules on how to behave while effecting the synthesis. So, one gets a very strong impression that complication, or productive potentiality in an organization, is degenerative , that an organization which synthesizes something is necessarily more complicated, of a higher order, than the organization it synthesizes. This conclusion, arrived at by considering artificial automaton, is clearly opposite to our early conclusion, arrived at by considering living organisms. ~ John Von Neumann

Most people avoid thinking if they can, some of us are addicted to thinking, but Von Neumann actually enjoyed thinking, maybe even to the exclusion of everything else. ~ Edward Teller

Accordingly, the fertility goddess is both mother and virgin, the hetaera who belongs to no man but is ready to give herself to any man. ~ Erich Neumann

You insist that there is something a machine cannot do. If you tell me precisely what it is a machine cannot do, then I can always make a machine which will do just that. ~ John Von Neumann

I would like to make a confession which may seem immoral: I do not believe in Hilbert space anymore. ~ John Von Neumann

A man whose consciousness is possessed by a particular content has an enormous dynamism in him, namely that of the unconscious content; but this counteracts the centroversion tendency of the ego to work for the whole rather than for the individual content. ~ Erich Neumann

Von Neumann told Shannon to call his measure entropy, since no one knows what entropy is, so in a debate you will always have the advantage. ~ Jeremy Campbell

I am a little troubled about the tea service in the electronic computer building. Apparently the members of your staff consume several times as much supplies as the same number of people do in Fuld Hall and they have been especially unfair in the matter of sugar ... I should like to raise the question whether it would not be better for the computer people to come up to Fuld Hall at the end of the day at 5 o'clock and have their tea here under proper supervision. ~ John Von Neumann