Quotes about dimension (467 quotes) | Quotes of famous people

“Without underestimating the virtues of technical, specialized and necessary education, we cannot accept an education that eliminates the other dimension of human knowledge, that which motivates us to be more cultured, more human, deeper, more emotional.”

José Baroja (1983) Chilean author and editor

Source: Perú Informa. Interview. https://www.peruinforma.com/entrevista-cultural-al-escritor-chileno-jose-baroja/

Motivation , Education , Knowledge

“All the loving acts that two human beings are capable of, the simple act of holding hands can often become the most intimate. Why is this so? Basically, because the nature of the hands and feet is such that the energy system finds expression in these two parts of the body in a very singular way. Two palms coming together have far more intimacy than the contact between any other parts of the body. You can try this with yourself. You don’t even need a partner. When you put your hands together, the two energy dimensions within you (right-left, masculine-feminine, solar-lunar, yin-yang, etc.) are linked in a certain way, and you begin to experience a sense of unity within yourself. This is the logic of the traditional Indian namaskar. It is a means of harmonizing the system. So, the simplest way to experience a state of union is to try this simple namaskar yoga. Put your hands together, and pay loving attention to any object you use or consume, or any form of life that you encounter. When you bring this sense of awareness into every simple act, your experience of life will never be the same again. There is even a possibility that if you put your hands together, you could unite the world!”

Sadhguru book Inner Engineering: A Yogi's Guide to Joy

Source: Inner Engineering: A Yogi's Guide to Joy

Love , Life , World , Way

“It would bother me if my canvases were stretched onto a frame. I never know in advance what dimensions I am going to choose.”

Pierre Bonnard (1867–1947) French painter and printmaker

Dita Amory, in Pierre Bonnard: The Late Still Lifes and Interiors; Yale University Press, New Haven, 2009 - ISBN 978-0-300-14889-3, p. 4
Bonnard started to paint usually on an unstretched canvas

“My faith is in the unknown, in all that we do not understand by reason; I believe that what is beyond our comprehension is a simple fact in other dimensions,”

Charlie Chaplin book My Autobiography

My Autobiography, p. 291
Context: I believe that faith is a precursor of all our ideas. Without faith, there never could have evolved hypothesis, theory, science or mathematics. I believe that faith is an extension of the mind. It is the key that negates the impossible. To deny faith is to refute oneself and the spirit that generates all our creative forces. My faith is in the unknown, in all that we do not understand by reason; I believe that what is beyond our comprehension is a simple fact in other dimensions, and that in the realm of the unknown there is an infinite power for good.

Faith , Understanding

“This is an attempt to create a space that will witness mystical dimensions”

Sadhguru (1957) Yogi, mystic, visionary and humanitarian

Isha Insights Magazine, Spring Edition 2009
Sourced from newspapers and magazines
Context: This is an attempt to create a space that will witness mystical dimensions that have never been witnessed in this part of the world. -Sadhguru (on Isha Institute of Inner Sciences, McMinnville, TN USA)

“Understand me. I’m not like an ordinary world. I have my madness, I live in another dimension and I do not have time for things that have no soul.”

Charles Bukowski (1920–1994) American writer

World , Soul , Understanding , Time

“Eternity isn't some later time. Eternity isn't a long time. Eternity has nothing to do with time. Eternity is that dimension of here and now which thinking and time cuts out. This is it. And if you don't get it here, you won't get it anywhere. And the experience of eternity right here and now is the function of life.”

Joseph Campbell The Power of Myth

Episode 2, Chapter 13-14
The Power of Myth (1988)
Context: Campbell: Eternity isn't some later time. Eternity isn't a long time. Eternity has nothing to do with time. Eternity is that dimension of here and now which thinking and time cuts out. This is it. And if you don't get it here, you won't get it anywhere. And the experience of eternity right here and now is the function of life. There's a wonderful formula that the Buddhists have for the Bodhisattva, the one whose being (sattva) is illumination (bodhi), who realizes his identity with eternity and at the same time his participation in time. And the attitude is not to withdraw from the world when you realize how horrible it is, but to realize that this horror is simply the foreground of a wonder and to come back and participate in it. "All life is sorrowful" is the first Buddhist saying, and it is. It wouldn't be life if there were not temporality involved which is sorrow. Loss, loss, loss.
Moyers: That's a pessimistic note.
Campbell: Well, you have to say yes to it, you have to say it's great this way. It's the way God intended it.

Life , Thinking , Time

“I see a clock, but I cannot envision the clockmaker. The human mind is unable to conceive of the four dimensions, so how can it conceive of a God, before whom a thousand years and a thousand dimensions are as one?”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

From Cosmic Religion: with Other Opinions and Aphorisms (1931), Albert Einstein, pub. Covici-Friede. Quoted in The Expanded Quotable Einstein, Princeton University Press; 2nd edition (May 30, 2000); Page 208, ISBN 0691070210
1930s

God

“Mathematicians have constructed a very large number of different systems of geometry, Euclidean or non-Euclidean, of one, two, three, or any number of dimensions. All these systems are of complete and equal validity. They embody the results of mathematicians' observations of their reality, a reality far more intense and far more rigid than the dubious and elusive reality of physics. The old-fashioned geometry of Euclid, the entertaining seven-point geometry of Veblen, the space-times of Minkowski and Einstein, are all absolutely and equally real. …There may be three dimensions in this room and five next door. As a professional mathematician, I have no idea; I can only ask some competent physicist to instruct me in the facts.
The function of a mathematician, then, is simply to observe the facts about his own intricate system of reality, that astonishingly beautiful complex of logical relations which forms the subject-matter of his science, as if he were an explorer looking at a distant range of mountains, and to record the results of his observations in a series of maps, each of which is a branch of pure mathematics. …Among them there perhaps none quite so fascinating, with quite the astonishing contrasts of sharp outline and shade, as that which constitutes the theory of numbers.”

G. H. Hardy (1877–1947) British mathematician

"The Theory of Numbers," Nature (Sep 16, 1922) Vol. 110 https://books.google.com/books?id=1bMzAQAAMAAJ p. 381

Beauty , Mountain , Mathematics , Idea

“I had the feeling that there was a dimension of reality that had not been dealt with in art: the dimension of ugliness.”

Otto Dix (1891–1969) German painter and printmaker

Otto Dix quoted by Eva Karcher, in Otto Dix, New York: Crown Publishers, 1987, p. 41; as cited by Roy Forward, in 'Education resource material: beauty, truth and goodness in Dix's War' https://nga.gov.au/dix/edu.pdf, p. 9

Art , Feeling , Reality

“Blue has no dimensions, it is beyond dimensions, whereas the other colours are not. They are pre-psychological expanses, red, for example, presupposing a site radiating heat... All colours arouse specific associative ideas, psychologically material or tangible, while blue suggests at most the sea and sky, and they, after all, are in actual, visible nature what is most abstract.”

Yves Klein (1928–1962) French artist

Quote from Yves Klein's lecture at the Sorbonne in 1959; published in Studio International, Vol. 186 (1973), p. 43; also quoted in: David Batchelor (2008) Colour. p. 122
before 1960

Idea , Nature , Sea

“Maxwell's equations… originally consisted of eight equations. These equations are not "beautiful." They do not possess much symmetry. In their original form, they are ugly…. However, when rewritten using time as the fourth dimension, this rather awkward set of eight equations collapses into a single tensor equation. This is what a physicist calls "beauty," because both criteria are now satisfied.”

Michio Kaku book Hyperspace

Source: Hyperspace (1995), Ch.5 Quantum Heresy

Beauty , Time

“When we talk of "exploring the mystical," we are not trying to dig into creation, because if you dig into creation, it will only get more complex. It will not bring clarity; it will only bring more complexity. That is why the yogis looked in a different direction. We looked inward. If you look inward, a different dimension opens up. Now instead of things getting more complex, you get to clarity. It is because of this that we say that those who look inward have a third eye. They see things that others cannot see. They have brought a new clarity to life.”

Sadhguru (1957) Yogi, mystic, visionary and humanitarian

Source: Of Mystics & Mistakes

Life

“The surya namaskar is essentially about building a dimension within you where your physical bodily cycles are in sync with the sun’s cycles, which run about twelve and a quarter years. It is not by accident but by intent that it has been structured with twelve postures. If your system is in a certain level of vibrancy and readiness, and in a high state of receptivity, then naturally your cycle will be in sync with the solar cycle. Young”

Sadhguru book Inner Engineering: A Yogi's Guide to Joy

Source: Inner Engineering: A Yogi's Guide to Joy

Nature , Sun

“Move out or grow in any dimension and pain as well as joy will be your reward. A full life will be full of pain.”

M. Scott Peck (1936–2005) American psychiatrist

Source: The Road Less Traveled: A New Psychology of Love, Traditional Values, and Spiritual Growth

Life , Pain , Joy

“I will not be "famous," "great." I will go on adventuring, changing, opening my mind and my eyes, refusing to be stamped and stereotyped. The thing is to free one's self: to let it find its dimensions, not be impeded.”

Virginia Woolf (1882–1941) English writer

Source: A Writer's Diary

Change

“Time and space are finite in extent, but they don't have any boundary or edge. They would be like the surface of the earth, but with two more dimensions.”

Stephen Hawking (1942–2018) British theoretical physicist, cosmologist, and author

Source: Black Holes and Baby Universes

Time

“Death is a fiction created by people who live their lives in total unawareness. There is only life, life and life alone, moving from one dimension to another, another dimension to another.”

Sadhguru (1957) Yogi, mystic, visionary and humanitarian

Source: Life and Death in One Breath

Life , Death , People

“Searching for truth is itself a big illusion because whatever we term the truth is always and everywhere. We don't have to search for it; we don't have to seek it; it always is. Now the only problem is your inability to experience life beyond what you call mind; or right now your capability to experience life only through the limited dimension that we call mind. That is the only problem.”

Sadhguru (1957) Yogi, mystic, visionary and humanitarian

Source: Himalayan Lust

Life , Truth , Search , Problem

“The idea of 10 dimensions might sound exciting, but they would cause real problems if you forget where you parked your car.”

Stephen Hawking book The Grand Design

Source: The Grand Design

Cars , Idea , Problem , Forgetting

“When another recognizes you, that recognition draws the dimension of Being more fully into this world through both of you. That is the love that redeems the world.”

Eckhart Tolle (1948) German writer

Love , World , Drawing

“The main dimensions of Marx’s discussion of alienation are as follows: …
1. The worker … has no power to determine the fate of what he produces. …
2. The work task does not offer intrinsic satisfactions. …
3. Human relations, in capitalism, tend to become reduced to operations of the market. … Money promotes the rationalization of social relationships, since it provides an abstract standard in terms of which the most heterogeneous qualities can be compared, and reduced, to one another. …
4. Some animals do produce, of course, but only in a mechanical, adaptive fashion. Alienated labor reduces human productive activity to the level of adaptation to, rather than active mastery of, nature.”

Anthony Giddens (1938) British sociologist

Source: Capitalism and Modern Social Theory (1971), pp. 12-13.

Money , Fate , Fashion , Nature

“Some forms of Kantianism put great weight on “what we can imagine” holding that this can be a source of insight into necessary connections. Thus various of Kant’s arguments about space and time depend on the purported fact that it is impossible for us to imagine certain things: we can know, Kant claims, a priori that space has only three dimensions because we cannot imagine it as having more than three dimensions. History in the form of non-Euclidean geometry and modern physics has put paid to that particular line of argument, but in general we should beware of depending too much on “What we can imagine?,” especially in politics. As Nietzsche puts it somewhere, sometimes the fact that you can’t imagine a situation in which things are very different from the way they are now is not an especially good argument for the claim that they must be as they now are, but, rather, represents a failure of your powers about which you should feel mildly apologetic.”

Raymond Geuss book Philosophy and Real Politics

Source: Philosophy and Real Politics (2008), pp. 48-49.

Way , Feeling , Imagination , History

“We see from Lenard's table that a cathode ray can travel through air at atmospheric pressure a distance of about half a centimetre before the brightness of the phosphorescence falls to about half its original value. Now the mean free path of the molecules of air at this pressure is about 10-5 cm., and if a molecule of air were projected it would lose half its momentum in a space comparable with the mean free path. Even if we suppose that it is not the same molecule that is carried, the effect of the obliquity of the collisions would reduce the momentum to half in a short multiple of that path. Thus, from Lenard's experiments on the absorption of the rays outside the tube, it follows on the hypothesis that the cathode rays are charged particles moving with high velocities, that the size of the carriers must be small compared with the dimensions of ordinary atoms or molecules. The assumption of a state of matter more finely subdivided than the atom of an element is a somewhat startling one; but a hypothesis that would involve somewhat similar consequences—viz. that the so-called elements are compounds of some primordial element—has been put forward from time to time by various chemists.”

J. J. Thomson (1856–1940) British physicist

Royal Institution Lecture (April 30, 1897) as quoted by Edmund Taylor Whittaker, A History of the Theories of Aether and Electricity from the Age of Descartes to the Close of the Nineteenth Century http://books.google.com/books?id=CGJDAAAAIAAJ (1910).
Quotes eat me

Travel , Time

“Neo-Plasticism has its roots in Cubism. It could just as easy be called the Painting of Real Abstraction. Since the abstract can be expressed by a plastic reality... It achieves what all painting has tried to achieve but has been able to express only in a veiled manner. By their position and their dimension as well as by the importance of given to colour, the coloured planes express in a plastic way only relations and not forms. Neo-Plasticism imparts to these relations an aesthetic balance and thereby expresses universal harmony... For the moment what art had discovered must still be limited to art itself. Our environment cannot yet be realized as a creation of pure harmony. Art today is at the very point formerly occupied by religion. In its deepest meaning art was the transposition of the natural [into another plane]; in practice it always sought to achieve harmony between man and untransposed nature. Generally speaking, so do Theosophy and Anthroposophy, although these already possessed the original symbol of balance. And this is why they never were able to achieve equivalent relations, that is to say true harmony.”

Piet Mondrian (1872–1944) Peintre Néerlandais

Quote in Mondrian's letter to Rudolf Steiner, c. 1921-23; as cited in Abstract Painting, Michel Seuphor, Dell Publishing Co 1964, p. 83-85
1920's

Religion , Art , Way , Nature

“I do differ from you radically in respect to familiar things & scenes; for I always demand close correlation with the landscape & historic stream to which I belong, & would feel completely lost in infinity without a system of reference-points based on known & accustomed objects. I take complete relativity so much for granted, that I cannot conceive of anything as existing in itself in any recognisable form. What gives things an aspect & quasi-significance to us is the fact that we view things consistently from a certain artificial & fortuitous angle. Without the preservation of that angle, coherent consciousness & entity itself becomes inconceivable. Thus my wish for freedom is not so much a wish to put all terrestrial things behind me & plunge forever into abysses beyond light, matter, & energy. That, indeed, would mean annihilation as a personality rather than liberation. My wish is perhaps best defined as a wish for infinite visioning & voyaging power, yet without loss of the familiar background which gives all things significance. I want to know what stretches Outside, & be able to visit all the gulfs & dimensions beyond Space & Time. I want, too, to juggle the calendar at will; bringing things from the immemorial past down into the present, & making long journeys into the forgotten years. But I want the familiar Old Providence of my childhood as a perpetual base for these necromancies & excursions—& in a good part of these necromancies & excursions I want certain transmuted features of Old Providence to form part of the alien voids I visit or conjure up. I am as geographic-minded as a cat—places are everything to me. Long observation has shewn me that no other objective experience can give me even a quarter of the kick I can extract from the sight of a fresh landscape or urban vista whose antiquity & historic linkages are such as to correspond with certain fixed childhood dream-patterns of mine. Of course my twilight cosmos of half-familiar, fleetingly remembered marvels is just as unattainable as your Ultimate Abysses—this being the real secret of its fascination. Nothing really known can continue to be acutely fascinating—the charm of many familiar things being mainly resident in their power to symbolise or suggest unknown extensions & overtones.”

H.P. Lovecraft (1890–1937) American author

Letter to Clark Ashton Smith (7 November 1930), in Selected Letters III, 1929-1931 edited by August Derleth and Donald Wandrei, p. 214
Non-Fiction, Letters

Secret , Dreams , Feeling , Cats

“Every now and then a man's mind is stretched by a new idea or sensation, and never shrinks back to its former dimensions. After looking at the Alps, I felt that my mind had been stretched beyond the limits of its elasticity, and fitted so loosely on my old ideas of space that I had to spread these to fit it.”

Oliver Wendell Holmes (1809–1894) Poet, essayist, physician

The Autocrat of the Breakfast Table (1858)

Idea

“Anxiety was a philosophical concept before it taken up by psychology and psychiatry. The Danish philosopher Kierkegaard (1813-1855) argued that anxiety is part of human nature. Anxiety arises where possibility and actuality come into contact and the present touches the future. Anxiety is a product of having the freedom to make choices and act, and by doing so make a commitment to one’s identity, ways of being in the world, and standing in relation to other people. For Kierkegaard, anxiety can be an avenue to stand in relation to God. This is why he wrote, “Whoever has learned to be anxious in the right way has learned the ultimate.”
One can bracket out the God dimensions and still learn something valuable from Kierkegaard, namely that anxiety can cause inaction, which is, in its most basic sense, a loss of freedom. What is possible may never actualize and one may lose the present by tending to an imagined future. One becomes immobilized and unable to meet needs and realize goals and aspirations.”

Peg O'Connor (1965) American philosopher

"Anxiety Is a Part of Human Nature" https://www.psychologytoday.com/us/blog/philosophy-stirred-not-shaken/201703/anxiety-is-part-human-nature, Psychology Today, (Mar 24, 2017).

God , People , World , Way

“The instant case involves liberty of the person both in its spatial and more transcendent dimensions…. Bowers was not correct when it was decided, and it is not correct today…. As the Constitution endures, persons in every generation can invoke its principles in their own search for greater freedom.”

Anthony Kennedy (1936) Associate Justice of the Supreme Court of the United States

Lawrence v. Texas, 539 U.S. 558 http://caselaw.lp.findlaw.com/scripts/getcase.pl?court=us&vol=000&invol=02-102 (26 June 2003).

Search , Freedom , Personality

“One of the things you want to do with a conception like compassion is that you want to start thinking about it like a psychologist, or like a scientist, because compassion is actually definable. The easiest way to approach it is to think about it in Big-5 terms, because it maps onto Agreeableness, which you can break down into Compassion and Politeness. The liberal types, especially the Social Justice types, are way higher in Compassion. It's actually their fundamental characteristic. You might think, 'well, compassion is a virtue.' Yes, it's a virtue, but any uni-dimensional virtue immediately becomes a vice, because real virtue is the intermingling of a number of virtues and their integration into a functional identity that can be expressed socially. Compassion can be great if you happen to be the entity towards which it is directed. But compassion tends to divide the world into crying children and predatory snakes. So if you're a crying child, hey great. But if you happen to be identified as one of the predatory snakes, you better look the hell out. Compassion is what the mother grizzly bear feels for her cubs while she eats you because you got in the way. We don't want to be thinking for a second that compassion isn't a virtue that can lead to violence, because it certainly can. The other problem with compassion - this is why we have conscientiousness - there's five canonical personality dimensions. Agreeableness is good if you are functioning in a kin system. You want to distribute resources equally for example among your children, because you want all of them to have the same chance, and even roughly the same outcome. That is, a good one. But the problem is that you can't extend that moral network to larger groups. As far as I can tell, you need conscientiousness, which is a much colder virtue. It's also a virtue that is much more concerned with larger structures over the longer period of time. And you can think about conscientiousness as a form of compassion too. It's like: 'straighten the hell out, and work hard and your life will go well. I don't care how you feel about that right now.' Someone who's cold, that is, low in agreeableness and high in conscientiousness, will tell you every time. 'Don't come whining to me. I don't care about your hurt feelings. Do your goddamn job or you're going to be out on the street.' One might think, 'Oh that person is being really hard on me.' Not necessarily. They might have your long term best interest in mind. You're fortunate if you come across someone who is disagreeable. Not tyrannically disagreeable, but moderately disagreeable and high in conscientiousness because they will whip you into shape. And that's really helpful. You'll admire people like that. You won't be able to help it. You'll feel like, 'Oh wow, this person has actually given me good information, even though you will feel like a slug after they have taken you apart.' That's the compassion issue. You can't just transform that into a political stance. I think part of what we're seeing is actually the rise of a form of female totalitarianism, because we have no idea what totalitarianism would be like if women ran it, because that's never happened before in the history of the planet. And so, we've introduced women into the political sphere radically over the past fifty years. We have no idea what the consequence of that is going to be. But we do know from our research, which is preliminary, that agreeableness really predicts political correctness, but female gender predicts over and above the personality trait, and that's something we found very rarely in our research. Usually the sex differences are wiped out by the personality differences, but not in this particular case. On top of that, women are getting married later, and they're having children much later, and they're having fewer of them, and so you also have to wonder what their feminine orientation is doing with itself in the interim, roughly speaking. A lot of it is being expressed as political opinion. Fair enough. That's fine. But it's not fine when it starts to shut down discussion.”

Jordan Peterson (1962) Canadian clinical psychologist, cultural critic, and professor of psychology

Concepts

Life , Women , Children , People

“Evolution has ensured that our brains just aren't equipped to visualise 11 dimensions directly. However, from a purely mathematical point of view it's just as easy to think in 11 dimensions, as it is to think in three or four.”

Stephen Hawking (1942–2018) British theoretical physicist, cosmologist, and author

As quoted in "Return of the time lord" in The Guardian http://books.guardian.co.uk/departments/scienceandnature/story/0,6000,1579384,00.html (27 September 2005)

Mathematics , Thinking

“The eye of perfected friendship with God is aware of deeper dimensions of reality, to which the eyes of the average man and the average Christian are not yet opened.”

Josef Pieper (1904–1997) German philosopher

The Four Cardinal Virtues: Prudence, Justice, Fortitude, Temperance (1965)

God , Friendship , Reality , Perfection

“Most English-speaking people … will admit that cellar door is "beautiful," especially if dissociated from its sense (and from its spelling). More beautiful than, say, sky, and far more beautiful than beautiful…Well then, in Welsh, for me cellar doors are extraordinarily frequent, and moving to the higher dimension, the words in which there is pleasure in the contemplation of the association of form and sense are abundant.”

John Ronald Reuel Tolkien (1892–1973) British philologist and author, creator of classic fantasy works

English and Welsh (1955)

People , Pleasure , Beauty , Sense

“Children will always be afraid of the dark, and men with minds sensitive to hereditary impulse will always tremble at the thought of the hidden and fathomless worlds of strange life which may pulsate in the gulfs beyond the stars, or press hideously upon our own globe in unholy dimensions which only the dead and the moonstruck can glimpse.”

H.P. Lovecraft book Supernatural Horror in Literature

"Supernatural Horror in Literature" (1927)
Non-Fiction

Life , Men , Children , World

“p>To the new International that is now in the irreversible process of preparation we can contribute the ideas of worldwide organization and the world state; the English can suggest the idea of worldwide exploitation and trusts; the French can offer nothing….
Thus we find two great economic principles opposed to each other in the modern world. The Viking has become a free-tradesman; the Teutonic knight is now an administrative official. There can be no reconciliation. Each of these principles is proclaimed by a German people, Faustian men par excellence. Neither can accept a restriction of its will, and neither can be satisfied until the whole world has succumbed to its particular idea. This being the case, war will be waged until one side gains final victory. Is world economy to be worldwide exploitation, or worldwide organization? Are the Caesars of the coming empire to be billionaires or universal administrators? Shall the population of the earth, so long as this empire of Faustian civilization holds together, be subjected to cartels and trusts, or to men such as those envisioned in the closing pages of Goethe’s Faust, Part II? Truly, the destiny of the world is at stake….
This brings us to the political aspects of the English-Prussian antithesis. Politics is the highest and most powerful dimension of all historical existence. World history is the history of states; the history of states is the history of wars. Ideas, when they press for decisions, assume the form of political units: countries, peoples, or parties. They must be fought over not with words but with weapons. Economic warfare becomes military warfare between countries or within countries. Religious associations such as Jewry and Islam, Huguenots and Mormons, constitute themselves as countries when it becomes a matter of their continued existence or their success. Everything that proceeds from the innermost soul to become flesh or fleshly creation demands a sacrifice of flesh in return. Ideas that have become blood demand blood. War is the eternal pattern of higher human existence, and countries exist for war’s sake; they are signs of readiness for war. And even if a tired and blood-drained humanity desired to do away with war, like the citizens of the Classical world during its final centuries, like the Indians and Chinese of today, it would merely exchange its role of war-wager for that of the object about and with which others would wage war. Even if a Faustian universal harmony could be attained, masterful types on the order of late Roman, late Chinese, or late Egyptian Caesars would battle each other for this Empire—for the possession of it, if its final form were capitalistic; or for the highest rank in it, if it should become socialistic.”

Oswald Spengler (1880–1936) German historian and philosopher

Prussianism and Socialism (1919)

Men , War , People , World

“The line has in itself neither matter nor substance and may rather be called an imaginary idea than a real object; and this being its nature it occupies no space. Therefore an infinite number of lines may be conceived of as intersecting each other at a point, which has no dimensions and is only of the thickness (if thickness it may be called) of one single line.”

Leonardo Da Vinci (1452–1519) Italian Renaissance polymath

The Notebooks of Leonardo da Vinci (1883), II Linear Perspective

Idea , Nature

“When you listen to a thought, you are aware not only of the thought but also of yourself as the witness of the thought. A new dimension of consciousness has come in.”

Eckhart Tolle book The Power of Now

The Power of Now (1997)

“Part of the charm of synthetic organic chemistry derives from the vastness of the intellectual landscape along several dimensions. First, there is the almost infinite variety and number of possible target structures that lurk in the darkness waiting to be made. Then, there is the vast body of organic reactions that serve to transform one substance into another, now so large in number as to be beyond credibility to a non-chemist. There is the staggering range of reagents, reaction conditions, catalysts, elements, and techniques that must be mobilized in order to tame these reactions for synthetic purposes. Finally, it seems that new information is being added to that landscape at a rate that exceeds the ability of a normal person to keep up with it. In such a troubled setting any author, or group of authors, must be regarded as heroic if through their efforts, the task of the synthetic chemist is eased.”

Elias James Corey (1928) American chemist

Foreword of Name Reactions in Heterocyclic Chemistry (2004) by Jie Jack Li

Effort , Waiting , Parting , Personality

“While the earnings of a minority are growing exponentially, so too is the gap separating the majority from the prosperity enjoyed by those happy few. This imbalance is the result of ideologies which defend the absolute autonomy of the marketplace and financial speculation. Consequently, they reject the right of states, charged with vigilance for the common good, to exercise any form of control. A new tyranny is thus born, invisible and often virtual, which unilaterally and relentlessly imposes its own laws and rules. Debt and the accumulation of interest also make it difficult for countries to realize the potential of their own economies and keep citizens from enjoying their real purchasing power. To all this we can add widespread corruption and self-serving tax evasion, which have taken on worldwide dimensions. The thirst for power and possessions knows no limits. In this system, which tends to devour everything which stands in the way of increased profits, whatever is fragile, like the environment, is defenseless before the interests of a deified market, which become the only rule.”

Pope Francis (1936) 266th Pope of the Catholic Church

Section 56
2010s, 2013, Evangelii Gaudium · The Joy of the Gospel

Law , Way , Exercises , Country

“In all the countries where fascism became victorious, we had, before the growth of fascism and its victory, a wave of radicalism of the masses -- of the workers and the poorer peasants and farmers, and of the petty bourgeois class. In Italy, after the war and before 1922, we had a revolutionary wave of tremendous dimensions; the state was paralyzed, the police did not exist, the trade unions could do anything they wanted -- but there was not party capable of taking the power. As a reaction came fascism.”

Leon Trotsky (1879–1940) Marxist revolutionary from Russia

Fascism: What It Is and How to Fight It (1944)

War , Victory , Country

“The basic pleasure in the phonetic elements of a language and in the style of their patterns, and then in a higher dimension, pleasure in the association of these word-forms with meanings, is of fundamental importance. This pleasure is quite distinct from the practical knowledge of a language, and not the same as an analytic understanding of its structure. It is simpler, deeper-rooted, and yet more immediate than the enjoyment of literature.”

John Ronald Reuel Tolkien (1892–1973) British philologist and author, creator of classic fantasy works

English and Welsh (1955)

Pleasure , Literature , Understanding , Knowledge

“No man can visualize four dimensions, except mathematically … I think in four dimensions, but only abstractly. The human mind can picture these dimensions no more than it can envisage electricity. Nevertheless, they are no less real than electro-magnetism, the force which controls our universe, within, and by which we have our being.”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

1920s, Viereck interview (1929)

Mathematics , Thinking , Universe

“Lifetimes went past. With the critical mass
of hardly more than the thought of a thought
I kept on, headlong, to vanishing point.
I looked for an end, for some dimension
to hold hard and resist. But I still exist.”

Simon Armitage (1963) Poet, playwright, novelist

'Incredible', from The Universal Home Doctor.

Past

“It is well known that in three-dimensional elliptic or spherical geometry the so-called Clifford's parallelism or parataxy has many interesting properties. A group-theoretical reason for the most important of these properties is the fact that the universal covering group of the proper orthogonal group in four variables is the direct product of the universal covering groups of two proper orthogonal groups in three variables. This last-mentioned property has no analogue for orthogonal groups in n (>4) variables. On the other hand, a knowledge of three-dimensional elliptic or spherical geometry is useful for the study of orientable Riemannian manifols of four dimensions, because their tangent spaces possess a geometry of this kind.”

Shiing-Shen Chern (1911–2004) mathematician (1911–2004), born in China and later acquiring U.S. citizenship; made fundamental contributio…

[On Riemannian manifolds of four dimensions, Bulletin of the American Mathematical Society, 51, 12, 1945, 964–971, http://www.ams.org/journals/bull/1945-51-12/S0002-9904-1945-08483-3/S0002-9904-1945-08483-3.pdf]

Knowledge , Study , Universe

“His grammar is foolishly correct, offensively precise. It flaunts itself in the reader's face all along, and struts and smirks and shows off, and is in a dozen ways irritating and disagreeable. To be serious, I write good grammar myself, but not in that spirit, I am thankful to say. That is to say, my grammar is of a high order, though not at the top. Nobody's is. Perfect grammar—persistent, continuous, sustained—is the fourth dimension, so to speak: many have sought it, but none has found it.”

Mark Twain (1835–1910) American author and humorist

Source: Autobiography of Mark Twain, Volume 1 (2010), p. 120

Way , Perfection

“But the Moderns advancing yet much farther, have receiv'd into Geometry all Lines that can be express'd by Æquations, and have distinguish'd, according to the Dimensions of the Æquations, those Lines into Kinds; and have made it a Law, that you are not to construct a Problem by a Line of a superior Kind, that may be constructed by one of an inferior one.”

Isaac Newton book Arithmetica Universalis

Arithmetica Universalis (1707)
Context: The Antients, as we learn from Pappus, in vain endeavour'd at the Trisection of an Angle, and the finding out of two mean Proportionals by a right line and a Circle. Afterwards they began to consider the Properties of several other Lines. as the Conchoid, the Cissoid, and the Conick Sections, and by some of these to solve these Problems. At length, having more throughly examin'd the Matter, and the Conick Sections being receiv'd into Geometry, they distinguish'd Problems into three Kinds: viz. (1.) Into Plane ones, which deriving their Original from Lines on a Plane, may be solv'd by a right Line and a Circle; (2.) Into Solid ones, which were solved by Lines deriving their Original from the Consideration of a Solid, that is, of a Cone; (3.) And Linear ones, to the Solution of which were requir'd Lines more compounded. And according to this Distinction, we are not to solve solid Problems by other Lines than the Conick Sections; especially if no other Lines but right ones, a Circle, and the Conick Sections, must be receiv'd into Geometry. But the Moderns advancing yet much farther, have receiv'd into Geometry all Lines that can be express'd by Æquations, and have distinguish'd, according to the Dimensions of the Æquations, those Lines into Kinds; and have made it a Law, that you are not to construct a Problem by a Line of a superior Kind, that may be constructed by one of an inferior one. In the Contemplation of Lines, and finding out their Properties, I like their Distinction of them into Kinds, according to the Dimensions thy Æquations by which they are defin'd. But it is not the Æquation, but the Description that makes the Curve to be a Geometrical one.<!--pp.227-228

Law , Problem

“When I’m writing music for a film, inspiration will come from the subject matter and visual images, because I don’t agree to any offers of film work unless I believe I can add another dimension to the film. But if l’m writing music purely for myself, inspiration comes naturally, from everything around”

Vangelis (1943) Greek composer of electronic, progressive, ambient, jazz, pop rock, and orchestral music

1984
Context: On inspiration: "Of course, inspiration can come in different ways, depending on what field you’re working in? When I’m writing music for a film, inspiration will come from the subject matter and visual images, because I don’t agree to any offers of film work unless I believe I can add another dimension to the film. But if l’m writing music purely for myself, inspiration comes naturally, from everything around. I absorb every experience in life, every situation, because anything can become a source of inspiration — positive or negative. In general l’m influenced more by everyday concepts — nature, the city and so forth — than by hearing other pieces of music. Neither do I find any special inspiration from working in a studio. Obviously it makes life a lot easier to have 24 tracks to record on, and I use the studio as a tool to help in the writing process. I see the mixing desk really as another instrument, the conductor for all the others. But although the tape recorder and the console are just as important as the keyboards, I haven’t equipped my studio with a lot of hi-tech effects: l’d rather spend time searching through my sound library to get the exact colour I want".

Music , Nature

“Fantasy, if it's really convincing, can't become dated, for the simple reason that it represents a flight into a dimension that lies beyond the reach of time.”

Walt Disney (1901–1966) American film producer and businessman

As quoted in "The Rides of Passage" in Via magazine (July 2005)
Context: Fantasy, if it's really convincing, can't become dated, for the simple reason that it represents a flight into a dimension that lies beyond the reach of time. In this new dimension, whatever it is, nothing corrodes or gets run down at the heel or gets to look ridiculous like, say, the celluloid collar or the bustle.

Time

“We are saved the difficulty of imagining how the processes of life can go on in two dimensions, because nothing goes on.”

Arthur Stanley Eddington (1882–1944) British astrophysicist

Space, Time and Gravitation (1920)
Context: It is of interest to inquire what happens when the aviator's speed... approximates to the velocity of light. Lengths in the direction of flight become smaller and smaller, until for the speed of light they shrink to zero. The aviator and the objects accompanying him shrink to two dimensions. We are saved the difficulty of imagining how the processes of life can go on in two dimensions, because nothing goes on. Time is arrested altogether. This is the description according to the terrestrial observer. The aviator himself detects nothing unusual; he does not perceive that he has stopped moving. He is merely waiting for the next instant to come before making the next movement; and the mere fact that time is arrested means that he does not perceive that the next instant is a long time coming.<!--p.26

Life , Imagination

“Listen intently to a voice singing without words. It may charm you into crying, force you to dance, fill you with rage, or make you jump for joy. You can't tell where the music ends and the emotions begin, for the whole thing is a kind of music—the voice playing on your nerves as the breath plays on a flute. All experience is just that, except that its music has many more dimensions than sound. It vibrates in the dimensions of sight, touch, taste, and smell, and in the intellectual dimension of symbols and words—all evoking and playing upon each other.”

Alan Watts (1915–1973) British philosopher, writer and speaker

Source: The Book on the Taboo Against Knowing Who You Are (1966), p. 95

Music , Rage , Singing , Joy

“I really agree that Yog-Sothoth is a basically immature conception, & unfitted for really serious literature. The fact is, I have never approached serious literature yet. But I consider the use of actual folk-myths as even more childish than the use of new artificial myths, since in the former one is forced to retain many blatant peurilities & contradictions of experienced which could be subtilised or smoothed over if the supernaturalism were modelled to order for the given case. The only permanently artistic use of Yog-Sothothery, I think, is in symbolic or associative phantasy of the frankly poetic type; in which fixed dream-patterns of the natural organism are given an embodiment & crystallisation... But there is another phase of cosmic phantasy (which may or may not include frank Yog-Sothothery) whose foundations appear to me as better grounded than those of ordinary oneiroscopy; personal limitations regarding the sense of outsideness. I refer to the aesthetic crystallisation of that burning & inextinguishable feeling of mixed wonder & oppression which the sensitive imagination experiences upon scaling itself & its restrictions against the vast & provocative abyss of the unknown. This has always been the chief emotion in my psychology; & whilst it obviously figures less in the psychology of the majority, it is clearly a well-defined & permanent factor from which very few sensitive persons are wholly free.... Reason as we may, we cannot destroy a normal perception of the highly limited & fragmentary nature of our visible world of perception & experience as scaled against the outside abyss of unthinkable galaxies & unplumbed dimensions—an abyss wherein our solar system is the merest dot... The time has come when the normal revolt against time, space, & matter must assume a form not overtly incompatible with what is known of reality—when it must be gratified by images forming supplements rather than contradictions of the visible & measurable universe. And what, if not a form of non-supernatural cosmic art, is to pacify this sense of revolt—as well as gratify the cognate sense of curiosity?”

H.P. Lovecraft (1890–1937) American author

Letter to Frank Belknap Long (27 February 1931), in Selected Letters III, 1929-1931 edited by August Derleth and Donald Wandrei, p. 293
Non-Fiction, Letters, to Frank Belknap Long

Time , Imagination , Personality , Dreams

“To start, we will consider a single particle moving in three space dimensions under the influence of a general central potential. Later we will specialize to the case of a Coulomb potential, and work out the spectrum of hydrogen. One other classic problem, the harmonic oscillator, will be treated at the end of this chapter.”

Steven Weinberg (1933) American theoretical physicist

Source: Lectures on Quantum Mechanics (2012, 2nd ed. 2015), Ch. 2: Particle States in a Central Potential

Problem

“Large breasts are associated with feminine women, regardless of the slenderness of their hips. The capacity of a milk container cannot be told by its outside dimensions. Femininity is more accurately displayed by generous hips. Guess you can tell I favor women with big asses. All Democrat women have made themselves big asses, welcome.”

Anton LaVey book The Devil's Notebook

The Devil's Notebook (1992)

Women

“For this companion volume to A New Earth, I selected passages from the original book that felt particularly suitable for inspirational or meditative reading. For this reason I do not recommend that you read this book straight through from cover to cover. It would be far more beneficial to read, at the most, one chapter at a time, stopping at and perhaps rereading whatever passages elicit an inner response. Then let the words sink in and sense the truth to which they point, which is, of course, already within you. It can also be helpful to open the book at random occasionally, read one page or just one passage and let the words point the way to that dimension deep within that is beyond words, beyond thought. The truth to which the words point, the timeless dimension of consciousness, cannot be arrived at through discursive thought and conceptual understanding.”

Eckhart Tolle (1948) German writer

<Small> From The Introduction https://eckharttolle.com/oneness-with-all-life-excerpt/</small>
Oneness With All Life: Inspirational Selections from A New Earth (2008)

Time , Reading , Understanding , Help

“The key to growth is the introduction of higher dimensions of consciousness into our awareness.”

Laozi (-604) semi-legendary Chinese figure, attributed to the 6th century, regarded as the author of the Tao Te Ching and fou…

“'The mind, once stretched by a new idea, never returns to its original dimensions.' That's from Emerson, by the way. All I was hoping to do is stretch some goddamn minds.”

Carl Hiaasen book Squeeze Me

Epilogue
Novels, Squeeze Me (2020)

Hope , Way , Idea

“What do you think of the aspect of the money market? … This time, by the by, the thing has assumed European dimensions such as have never been seen before, and I don't suppose we'll be able to spend much longer here merely as spectators. The very fact that I've at last got round to setting up house again and sending for my books seems to me to prove that the 'mobilisation' of our persons is AT HAND.”

Karl Marx (1818–1883) German philosopher, economist, sociologist, journalist and revolutionary socialist

Source: Letter to Friedrich Engels (26 September 1856), quoted in The Collected Works of Karl Marx and Friedrich Engels: Volume 40. Letters 1856–59 (2010), pp. 71–72

Money , Housing , Personality , Books

“Finding that dimension frees you and the world from the suffering you inflict on yourself and others when the mind-made “little me” is all you know and runs your life. Love, joy, creative expansion, and lasting inner peace cannot come into your life except through that unconditioned dimension of consciousness.”

Eckhart Tolle (1948) German writer

Source: Stillness Speaks (2003), Ch 2

Suffering , World , Peace , Joy

“The human condition: Lost in thought Most people spend their entire life imprisoned within the confines of their own thoughts. They never go beyond a narrow, mind-made, personalized sense of self that is conditioned by the past. In you, as in each human being, there is a dimension of consciousness far deeper than thought. It is the very essence of who you are. We may call it presence, awareness, the unconditioned consciousness. In the ancient teachings, it is the Christ within, or your Buddha nature.”

Eckhart Tolle (1948) German writer

Source: Stillness Speaks (2003), Chapter 2 Beyond the Thinking Mind

Personality , People , Sense , Past

“Our lives can only be lived forward and understood backwards. Living a life and understanding it occupy different dimensions.”

Hanif Kureishi (1954) English playwright, screenwriter, novelist

Source: Collected Stories

Life , Understanding

“The television is 'real'. It is immediate, it has dimension. It tells you what to think and blasts it in. It must be right. It seems so right. It rushes you on so quickly to its own conclusions your mind hasn't time to protest, 'What nonsense!'.”

Ray Bradbury book Fahrenheit 451

Source: Fahrenheit 451

Thinking , Time

“At Sunday worship, as in every dimension of our existence, many of us pretend to believe we are sinners. Consequently, all we can do is pretend we have been forgiven. As a result, our whole spiritual life is pseudo-repentance and pseudo-bliss.”

Brennan Manning (1934–2013) writer, American Roman Catholic priest and United States Marine

Life

“It’s what we chase but never find. It is the mystery of our lives, the understanding that even when we have everything we want it is one day to leave us. It’s the something unseen, the lurking devastation, the darkness that gives our lives dimension.”

Marisha Pessl (1977) American writer

Source: Night Film

Understanding

“I think that this scene is upsetting because it calls us beyond fact into the vast world of imagination, and imagination is a word of many dimensions.”

Madeleine L'Engle (1918–2007) American writer

Acceptance Speech for the Margaret Edwards Award (1998)
Source: A Circle of Quiet
Context: In Kenneth Grahame's beautiful book, The Wind In The Willows, Mole and Rat go to the holy island of the great god, Pan. It is a superb piece of religious writing, but because it has gone beyond fact, it is deeply upsetting and untruthful to some people. If a story is not specified as being Christian, it is not Christian. But that is not so.
I think that this scene is upsetting because it calls us beyond fact into the vast world of imagination, and imagination is a word of many dimensions.

World , Imagination , Thinking

“I put tape on the mirrors in my house so I don't accidentally walk through into another dimension.”

Steven Wright (1955) American actor and author

Housing

“She likes to read, she reads all the time, and she prefers to be reading several things at once, she says it gives endless perspective and dimension.”

Ali Smith book Autumn

Source: Autumn

Time , Reading

“It is right to chide man for being blind to such coincidences in his daily life. For he thereby deprives his life of a dimension of beauty.”

Milan Kundera book The Unbearable Lightness of Being

Source: The Unbearable Lightness of Being (1984), Part Two: Soul and Body, p. 50

Life , Beauty

“She sowed in my mind the idea that reality is not only what we see on the surface; it has a magical dimension as well and, if we so desire, it is legitimate to enhance it and color it to make our journey through life less trying.”

Isabel Allende book Eva Luna

Source: Eva Luna

Life , Color , Idea , Reality

“The only difference between a rut and a grave are the dimensions.”

Ellen Glasgow (1873–1945) Novelist, short story writer

“is a futile word. It's about what didn't happen. It belongs in a parallel universe. It belongs in another dimension of space.”

Margaret Atwood book The Blind Assassin

Source: The Blind Assassin

Universe

“The mind, once stretched by a new idea, never returns to its original dimensions.”

Ralph Waldo Emerson (1803–1882) American philosopher, essayist, and poet

Idea

“There is a transcendental dimension beyond language… It's just hard as hell to talk about!”

Terence McKenna (1946–2000) American ethnobotanist

Hell

“As soon as man began considering himself the source of the highest meaning in the world and the measure of everything, the world began to lose its human dimension, and man began to lose control of it.”

Václav Havel book Disturbing the Peace

Source: Disturbing the Peace (1986), Ch. 1 : Growing Up "Outside", p. 11

World

“No matter what dimension you're in, there's a big-headed male trying to take over the world.”

Eoin Colfer (1965) Irish author of children's books

Source: The Lost Colony

World

“Two centuries ago, a former European colony decided to catch up with Europe. It succeeded so well that the United States of America became a monster, in which the taints, the sickness and the inhumanity of Europe have grown to appalling dimensions”

Frantz Fanon (1925–1961) Martiniquais writer, psychiatrist, philosopher, revolutionary

“We must therefore rediscover, after the natural world, the social world, not as an object or sum of objects, but as a permanent field or dimension of existence.”

Maurice Merleau-Ponty book Phenomenology of Perception

Source: Phenomenology of Perception

World , Nature

“Dead, we are revealed in our true dimensions, and they are surprisingly modest.”

Michael Cunningham book The Hours

Source: The Hours

Dead

“You can listen to silence, Reuven. I've begun to realize that you can listen to silence and learn from it. It has a quality and dimension all its own.”

Chaim Potok book The Chosen

Danny Saunders to Reuven Malter
Source: The Chosen (1967)

Silence , Learning

“By instructing students how to learn, unlearn and relearn, a powerful new dimension can be added to education.”

Alvin Toffler (1928–2016) American writer

Future Shock (1970), ch. 18
Source: Powershift: Knowledge, Wealth, and Power at the Edge of the 21st Century

Education , Learning

“Genius is an exaggeration of dimension. So is elephantiasis. Both may be only a disease.”

Ayn Rand book The Fountainhead

Source: The Fountainhead

Disease

“We all have our sorrows, and although the exact delinaments, weight and dimensions of grief are different for everyone, the color of grief is common to us all.
I know, he said, because he was human, and therefore, in a way, he did.”

Diane Setterfield book The Thirteenth Tale

Source: The Thirteenth Tale

Color , Way

“Love, Allie concluded, wasn't blind, it simply saw alternate dimensions.”

Neal Shusterman book Everfound

Source: Everfound

Love

“I need words that mean more than they mean, words not just with height and width, but depth and weight and, and other dimensions that I cannot even name.”

Lois McMaster Bujold The Curse of Chalion

Source: The Curse of Chalion

“CHOOSING WELL IS DIFFICULT, AND MOST DECISIONS HAVE SEVERAL different dimensions.”

Barry Schwartz (1946) American psychologist

The Paradox of Choice: Why More Is Less

Decision

“In a globalized world, security can no longer be thought of as a zero-sum game involving states alone. Global security, instead, has five dimensions that include human, environmental, national, transnational, and transcultural security, and, therefore, global security and the security of any state or culture cannot be achieved without good governance at all levels that guarantees security through justice for all individuals, states, and cultures.”

Nayef Al-Rodhan (1959) philosopher, neuroscientist, geostrategist, and author

The Five Dimensions of Global Security: Proposal for a Multi-sum Security Principle, p. 15-16 (2007)

World , Justice , Game

“We live in a three-dimensional world, and our brains are organized in three dimensions, so we might as well compute in three dimensions. …Right now, chips, even though they're very dense, are flat.”

Ray Kurzweil (1948) Author, scientist, inventor, and futurist

"The Singularity," The New Humanists: Science at the Edge (2003)

World

“It [Vatican II] does not look upon the ‘religious’ as one dimension among other dimensions of human existence. The religious dimension intersects with other dimensions. That is why the Council could speak of ‘the supremely human character’ of the Church’s religious mission.”

Kurien Kunnumpuram (1931–2018) Indian theologian

Kunnumpuram, K. (2005) Towards a New Humanity: Reflections on the Church's Mission in India Today. Mumbai: St Pauls
On the Church

“I have been working with silicone for years. While still studying, I painted on unusual materials, for example on a soft felt. I like material that easily surrenders – you can tame them and "go out" to the third dimension, and at the same time sanctify something that is considered ordinary. Once, I painted on sponges over twenty centimeters long, which create a great illusion of sandstone.”

Tomasz Vetulani (1965) Polish artist

Tomasz Vetulani o Holandii, niskim kraju http://www.nto.pl/apps/pbcs.dll/article?AID=/20110605/REPORTAZ01/762330357, nto.pl, 5 June 2011 (in Polish)

Study , Time , Painting

“The period during the First World War was a very exciting time in Paris, with artists, philosophers, and poets continually discussing and arguing about the work with which they were involved. Although I myself am little concerned with abstract theory, I certainly do think of cubism as a form of emancipation essentially different from artistic movements that had preceded it. Thus, impressionism, while it was a revolutionary technique, was still an essentially naturalistic movement concerned with a precise examination of the nature of light and the effect of changing lights on representational scenes and objects. Cubism did add a new dimension to painting and sculpture, a dimension that changed our way of looking at nature and the work of art.”

Jacques Lipchitz (1891–1973) American and French sculptor

Source: Jacques Lipchitz: My life in sculpture, 1972, p. 40

War , World , Art , Way

“Why is space-time doomed? There are many reasons, among which: In string theory we can change the dimension of space-time by changing the strength of the string force. Thus, the so-called II-A string theory, which semi-classically describes closed strings moving in ten-dimensional flat space for very weak coupling is dual for strong coupling to a theory, called M-theory, that at low energies is described by eleven-dimensional supergravity. By increasing the string coupling we can grow an extra dimension. How can the spatial continuum be fundamental if the number of spatial dimensions can be so changed?”

David Gross (1941) American particle physicist and string theorist

"Einstein and the Search for Unification", p. 11 https://books.google.com/books?id=rEaUIxukvy4C&pg=PA11, in The legacy of Albert Einstein: a collection of essays in celebration of the year of physics (2007)

Strong , Change , Time

“Dimensions are not connected with the efficiency of the system; they simply make it more difficult.”

Constantinos Apostolou Doxiadis (1914–1975) Greek architect

Source: Building Entopia - 1975, Chapter 2, The great danger, p. 21