Quotes about infinite (1393 quotes, page 9)

“We now have a technology that unites individuals in such a way that we can create the first global democracy. Hundreds of millions of people are climbing out of poverty and the Internet gives them access to the sort of information that was previously accessible only to elite scholars. They can join a worldwide conversation and come together in infinite permutations to check power anywhere it concentrates. The greatest achievement isn't in producing technology, but using it to re-define the boundaries of what is possible.”

Heather Brooke (1970) American journalist

Pages 238-239.
The Revolution Will Be Digitised: Dispatches From the Information War, 1st Edition

People , Way , Democracy

“This new model of development would be based clearly on the goal of sustainable human well-being. It would use measures of progress that clearly acknowledge this goal. It would acknowledge the importance of ecological sustainability, social fairness, and real economic efficiency. Ecological sustainability implies recognizing that natural and social capital are not infinitely substitutable for built and human capital, and that real biophysical limits exist to the expansion of the market economy.”

Robert Costanza (1950) American economist

Source: Toward a New Sustainable Economy, 2008, p. 45

Nature

“my father's rejection of all that is called religious belief, was not, as many might suppose, primarily a matter of logic and evidence: the grounds of it were moral, still more than intellectual. He found it impossible to believe that a world so full of evil was the work of an Author combining infinite power with perfect goodness and righteousness.”

John Stuart Mill book Autobiography

Source: Autobiography (1873)

https://archive.org/details/autobiography01mill/page/39/mode/1up pp. 39–40

Perfection , World , Evil

“There is no War on Terrorism; it is The Great Game speeded up. The difference is the rampant nature of the superpower, ensuring infinite dangers for us all.”

John Pilger (1939) Australian journalist

John Pilger, 'War on Terror' a smokescreen created by the ultimate terrorist, America itself http://johnpilger.com/articles/-war-on-terror-a-smokescreen-created-by-the-ultimate-terrorist-america-itself

War , Game , Nature , Speed

“I believe that time, with its infinite understanding, will one day forgive me.”

William Saroyan (1908–1981) American writer

My Heart's in the Highlands (1939)

Forgiveness , Understanding , Time

“Infinite product spaces are the natural habitat of probability theory.”

William Feller (1906–1970) Croatian-American mathematician

Source: An Introduction To Probability Theory And Its Applications (Third Edition), Chapter V, Conditional Probability, Stochastic Independence, p. 130

Nature

“That strategic rivalry in a long-term relationship may differ from that of a one-shot game is by now quite a familiar idea. Repeated play allows players to respond to each other’s actions, and so each player must consider the reactions of his opponents in making his decision. The fear of retaliation may thus lead to outcomes that otherwise would not occur. The most dramatic expression of this phenomenon is the celebrated "Folk Theorem." An outcome that Pareto dominates the minimax point is called individually rational. The Folk Theorem asserts that any individually rational outcome can arise as a in infinitely repeated games with sufficiently little discounting.”

Eric Maskin (1950) American Nobel laureate in economics

and Eric Maskin. " The folk theorem in repeated games with discounting or with incomplete information http://www.eecs.harvard.edu/~parkes/cs286r/spring06/papers/fudmaskin_folk86.pdf." Econometrica: Journal of the Econometric Society (1986): p. 533; Lead paragraph.

Fear , Game , Idea , Decision

“Man is about to be an automaton; he is identifiable only in the computer. As a person of worth and creativity, as a being with an infinite potential, he retreats and battles the forces that make him inhuman.
The dissent we witness is a reaffirmation of faith in man; it is protest against living under rules and prejudices and attitudes that produce the extremes of wealth and poverty and that make us dedicated to the destruction of people through arms, bombs, and gases, and that prepare us to think alike and be submissive objects for the regime of the computer.”

William O. Douglas (1898–1980) Associate Justice of the Supreme Court of the United States

Points of Rebellion (1970), p. 32–33
Other speeches and writings

People , Faith , Thinking , Personality

“The universe is made of our thoughts. Our thoughts are infinite.”

Lorin Morgan-Richards (1975) American poet, cartoonist, and children's writer

Excerpt from the poem Celestial Son in the book Dark Letter Days: Collected Works (2016) by Lorin Morgan-Richards.

Universe

“In the same manner therefore as we have laid it down that the Sun holds the supremacy in the Intelligible world, having round about his own being, in one species, a vast multitude of gods (supposing him to have the same in the Sensible world), all of which move along their everlasting and most felicitous course in a circle, so do we prove him to be Leader and Lord, imparting to and filling the whole heaven, as he does, with his own splendour, likewise with infinite other blessings that be invisible to us: whilst the benefits commenced by the other deities are brought to perfection by him; nay, more, before this, these gods themselves were rendered perfect through his spontaneous and divine operation.”

Julian (emperor) (331–363) Roman Emperor, philosopher and writer

Upon the Sovereign Sun (362)

God , World , Intelligence , Sun

“The rational soul in a certain manner possesses the excellence of infinity and eternity. If this were not the case, it would never characteristically incline toward the infinite. Undoubtedly this is the reason that there are none among men who live contentedly on earth and are satisfied with merely temporal possessions.”

Marsilio Ficino (1433–1499) Italian philosopher

Source: Five Questions Concerning the Mind (1495), p. 202

Men , Soul

“Why, Stephen, if I am right, it means that the Machine is conducting our future for us not only simply in direct answer to our direct questions, but in general answer to the world situation and to human psychology as a whole. And to know that may make us unhappy and may hurt our pride. The Machine cannot, must not, make us unhappy.
"Stephen, how do we know what the ultimate good of Humanity will entail? We haven't at our disposal the infinite factors that the Machine has at its! Perhaps, to give you a not unfamiliar example, our entire technical civilization has created more unhappiness and misery than it has removed. Perhaps an agrarian or pastoral civilization, with less culture and less people would be better. If so, the Machines must move in that direction, preferably without telling us, since in our ignorant prejudices we only know that what we are used to, is good—and we would then fight change. Or perhaps a complete urbanization, or a completely caste-ridden society, or complete anarchy, is the answer. We don't know. Only the Machines know, and they are going there and taking us with them."
"But you are telling me, Susan, that the 'Society for Humanity' is right; and that Mankind has lost its own say in its future."
"It never had any, really. It was always at the mercy of economic and sociological forces it did not understand—at the whims of climate, and the fortunes of war. Now the Machines understand them; and no one can stop them, since the Machines will deal with them as they are dealing with the Society,—having, as they do, the greatest of weapons at their disposal, the absolute control of our economy."
"How horrible!”

Isaac Asimov book I, Robot

"Perhaps how wonderful! Think, that for all time, all conflicts are finally evitable. Only the Machines, from now on, are inevitable!"
“The Evitable Conflict”, p. 192
I, Robot (1950)

War , People , World , Understanding

“In the social equation, the value of a single life is nil; in the cosmic equation, it is infinite… Not only communism, but any political movement which implicitly relies on purely utilitarian ethics, must become a victim to the same fatal error. It is a fallacy as naïve as a mathematical teaser, and yet its consequences lead straight to Goya's Disasters, to the reign of the guillotine, the torture chambers of the Inquisition, or the cellars of the Lubianka.”

Arthur Koestler book The Invisible Writing

The Invisible Writing (1954).

Life , Error , Communication , Mathematics

“…the stereographic projection of the spherical surface. From the north pole P we draw radial lines to project every point of the surface of the sphere upon the horizontal plane [below, perpendicular to a line joining it to P and the sphere's center]. In general this transformation is unique and continuous, although the metrical relations are distorted; for the point P, however, it shows a singularity. Point P is mapped upon the infinite; i. e., no finitely located point of the plane corresponds to it. It can be shown that every transformation possesses a singularity in at least one point. The surface of the sphere is therefore called topologically different from the plane. Only a "sphere without a north pole" [point] would be topologically equivalent to a plane. …such a sphere has a point-shaped hole without a boundary and is no longer a closed surface.”

Hans Reichenbach (1891–1953) American philosopher

The Philosophy of Space and Time (1928, tr. 1957)

Drawing

“I regard the whole of arithmetic as a necessary, or at least natural, consequence of the simplest arithmetic act, that of counting, and counting itself as nothing else than the successive creation of the infinite series of positive integers in which each individual is defined by the one immediately preceding; the simplest act is the passing from an already-formed individual to the consecutive new one to be formed. The chain of these numbers forms in itself an exceedingly useful instrument for the human mind; it presents an inexhaustible wealth of remarkable laws obtained by the introduction of the four fundamental operations of arithmetic.”

Richard Dedekind (1831–1916) German mathematician

p, 125
Stetigkeit und irrationale Zahlen (1872)

Law , Nature , Success , Wealth

“It sounds rather strange to talk of an infinite universe still expanding. If we were certain that the curvature was negative, we might still, as in the case of positive curvature, replace the phrase "the universe expands" by the equivalent one "the curvature of the universe decreases." But if the curvature is zero, and remains zero throughout, what sort of meaning are we to attach to the "expansion"? The real meaning is, of course, that the mutual distances between the galactic systems, measured in so-called natural measure, increase proportionally to a certain quantity R appearing in the equations, and varying with the time. The interpretation of R as the "radius of curvature" of the universe, though still possible if the universe has a curvature, evidently does not go down to the fundamental meaning of it.”

Willem de Sitter (1872–1934) Dutch cosmologist

Kosmos (1932), Above is Beginning Quote of the Last Chapter: Relativity and Modern Theories of the Universe -->

Nature , Universe , Appearance , Time

“Breathe out, so that your breath travels infinitely to the ends of the universe: breathe in, so that your breath reaches your one point and continues infinitely there. The ki breathing methods are an important way of unifying mind and body. At night when all is quiet and calm, do this alone, and you will feel that you are the universe and that the universe is you. It will lead you to supreme ecstasy of being one with the universe. At this moment the life power that is rightfully yours is fully activated.”

Koichi Tohei (1920–2011) Japanese aikidoka

15 : Ki breathing exercises
Ki Sayings (2003)

Life , Way , Travel , Feeling

“Arcadia? The realm of the infinite? It's a poet's corner… It's not a cult or a religion – it's an awareness of your surroundings; you're not going to force yourself on anyone and, equally, no one's going to force themselves on you. And it's about community and pleasure. It came from a whisper through the trees. It came from a crack in the pavement. It can also come when you open a bag of crisps, or when you kick a football against a goalpost. Even if I was winding you up, it would still be true, because Arcadia and the Arcadian Dream is so deep, is so true to our hearts… It can be as powerful as your imagination can allow it to be. But, it can also be as dark and twisted as your soul… Arcadia encompasses the infinite, and that's why it comforts me.”

Pete Doherty (1979) English musician, writer, actor, poet and artist

2002
Arcadia

Pleasure , Religion , Dreams , Soul

“Events,” I say to the Captain, “events control our lives, although we have no understanding of them nor do they have any motivation. Everything is blind chance, happenstance, occurrence; in an infinite universe anything can happen. After the fact we find reasons.”

Barry N. Malzberg book Beyond Apollo

Source: Beyond Apollo (1972), Chapter 60

Motivation , Understanding , Universe , Chance

“Sin is man’s destruction. Only the rust of sin can consume the soul-or eternally destroy it. For here indeed is the remarkable thing from which already that simple wise man of olden time derived a proof of the immortality of the soul, that the sickness of the soul (sin) is not like bodily sickness which kills the body. Sin is not a passage-way which a man has to pass through once, for from it one shall flee; sin is not (like suffering) the instant, but an eternal fall from the eternal, hence it is not ‘once’, and it cannot possibly be that its ‘once’ is no time. No, just as between the rich man in hell and Lazarus in Abraham’s bosom there was a yawning gulf fixed, so is there also a yawning distinction between suffering and sin. Let us not confuse it, lest talk about suffering might become less frank-hearted, because it had also sin in mind, and this less frank-hearted talk might be boldly impudent inasmuch as it is talking this way about sin. This precisely is the Christian position, that there is this infinite distinction between evil and evil, as they are confusedly named; this precisely is the Christian characteristic, to talk of temporal sufferings ever more and more frank-heartedly, more triumphantly, more joyfully, because Christianity regarded, sin, and sin only, is destructive.”

Sören Kierkegaard book Christian Discourses

Søren Kierkegaard, Christian Discourses, The Joy of it – That We Suffer Only Once But Triumph Eternally. P. 108 Lowrie Translation 1961 Oxford University Press
1840s, Christian Discourses (1848)

Way , Soul , Hell , Suffering

“The infinitely smallest part of space is always a space, something endowed with continuity, not at all a mere point or the boundary between specified places in space.”

Johann Gottlieb Fichte (1762–1814) German philosopher

Grundriss des Eigenthümlichen der Wissenschaftslehre in Rücksicht auf das theoretische Vermögen (1795) GA I.3, as quoted/translated by Erhard Scholz, "Philosophy as a Cultural Resource and Medium of Reflection for Hermann Weyl" http://arxiv.org/abs/math/0409596 (2004).

Parting

“Touching the secrets of the heart and the successions of time, doth make a just and sound difference between the manner of the exposition of the Scriptures and all other books. For it is an excellent observation which hath been made upon the answers of our Saviour Christ to many of the questions which were propounded to Him, how that they are impertinent to the state of the question demanded: the reason whereof is, because not being like man, which knows man’s thoughts by his words, but knowing man’s thoughts immediately, He never answered their words, but their thoughts. Much in the like manner it is with the Scriptures, which being written to the thoughts of men, and to the succession of all ages, with a foresight of all heresies, contradictions, differing estates of the Church, yea, and particularly of the elect, are not to be interpreted only according to the latitude of the proper sense of the place, and respectively towards that present occasion whereupon the words were uttered, or in precise congruity or contexture with the words before or after, or in contemplation of the principal scope of the place; but have in themselves, not only totally or collectively, but distributively in clauses and words, infinite springs and streams of doctrine to water the Church in every part. And therefore as the literal sense is, as it were, the main stream or river, so the moral sense chiefly, and sometimes the allegorical or typical, are they whereof the Church hath most use; not that I wish men to be bold in allegories, or indulgent or light in allusions: but that I do much condemn that interpretation of the Scripture which is only after the manner as men use to interpret a profane book.”

Francis Bacon book The Advancement of Learning

XXV. (17)
The Advancement of Learning (1605)

Men , Secret , Books , Age

“Time is short, your obligations are infinite. Are your houses regulated, your children instructed, the afflicted relieved, the poor visited, the work of piety accomplished?”

Jean Baptiste Massillon (1663–1742) French Catholic bishop and famous preacher

Source: Dictionary of Burning Words of Brilliant Writers (1895), p. 5.

Children , Affliction , Time , Housing

“It is not to be wondered that men have worshiped the ocean, for in his depths they have seen mirrored the image of Eternity — of Infinity. Here they have seen the symbol of God's great plan of oneness with His creatures, for the sea is the union of all infinite particles, and it takes the whole to make the one.”

Elbert Hubbard (1856–1915) American writer, publisher, artist, and philosopher fue el escritor del jarron azul

"The Sea" in The Philosophy of Elbert Hubbard (1916), p. 169.

Men , God , Sea

“The crop of spiritual talent that is born to you, of human nobleness and intellect and heroic faculty, this is infinitely more important than your crops of cotton or corn, or wine or herrings or whale-oil, which the Newspapers record with such anxiety every season.”

Thomas Carlyle (1795–1881) Scottish philosopher, satirical writer, essayist, historian and teacher

1850s, Latter-Day Pamphlets (1850), The New Downing Street (April 15, 1850)

Wine , Season

“There is a Power, a Power that controls the moon, the stars and the sun. It is a Power that can burn all other powers. It is the Power that pervades each atom, all that is finite, all that is infinite, a Power that no one can see…It has no assistance. It is completely alone. Original.”

Bawa Muhaiyaddeen (1900–1986) Sri Lankan Sufi leader

The Point Where God and Man Meet (2006)

Star , Sun

“The economic success of the Western world is a product of its moral philosophy and practice. The economic results are better because the moral philosophy is superior. It is superior because it starts with the individual, with his uniqueness, his responsibility, and his capacity to choose. Surely this is infinitely preferable to the Socialist-statist philosophy which sets up a centralised economic system to which the individual must conform, which subjugates him, directs him and denies him the right to free choice. Choice is the essence of ethics: if there were no choice, there would be no ethics, no good, no evil; good and evil have meaning only insofar as man is free to choose.”

Margaret Thatcher (1925–2013) British stateswoman and politician

Speech to the Zurich Economic Society “The New Renaissance” (14 March 1977) http://www.margaretthatcher.org/document/103336
Leader of the Opposition

World , Evil , Success

““Pascal’s Wager never appealed to me. It seems logically… shallow.”
“Perhaps because it posits only two choices,” said Aenea. Somewhere in the desert night, an owl made a short, sharp sound. “Spiritual resurrection and immortality or death and damnation,” she said.
“Those last two aren’t the same thing,” I said.
“No, but perhaps to someone like Blaise Pascal they were. Someone terrified of ‘the eternal silence of these infinite spaces.’”
“A spiritual agoraphobic,” I said.
Aenea laughed. The sound was so sincere and spontaneous that I could not help loving it. Her.
“Religion seems to have always offered that false duality,” she said, setting her cup of tea on a flat stone. “The silences of infinite space or the cozy comfort of inner certainty.””

Dan Simmons book The Rise of Endymion

Source: The Rise of Endymion (1997), Chapter 10 (p. 166)

Love , Death , Religion , Silence

“As long as we dwell in the shadow, we cannot see the sun itself; but Now we see through a glass darkly, says St. Paul. Yet the shadow is so enlightened by the sunshine that we can perceive the distinctions between all the virtues and all the truth which is profitable to our mortal state. But if we would become one with the brightness of the Sun, we must follow love, and go out of ourselves into the Wayless, and then the Sun will draw us with our blinded eyes into Its own brightness, in which we shall possess unity with God.... In his outpouring, He wills to he wholly ours: and then He teaches us to live in the riches of the virtues. In His indrawing touch all our powers forsake us, and then we sit under His shadow, and His fruit is sweet to our taste, for the Fruit of God is the Son of God, Whom the Father brings forth in our spirit. This Fruit is so infinitely sweet to our taste that we can neither swallow It nor assimilate It, but It rather absorbs us into Itself and assimilates us with Itself.”

John Ruysbroeck (1293–1381) Flemish mystic

From Evelyn Underhill, http://www.sacred-texts.com/chr/asm/index.htm Adornment of the Spiritual Marriage
The Spiritual Espousals (c. 1340)

Love , God , Truth , Sun

“We may deny the existence of ethnonationalism, detest it, condemn it. But this creator and destroyer of empires and nations is a force infinitely more powerful than globalism, for it engages the heart. Men will die for it. Religion, race, culture and tribe are the four horsemen of the coming apocalypse.”

Patrick Buchanan (1938) American politician and commentator

2010s, Suicide of a Superpower (2011)

Men , Religion , Heart

“When no point of a line is at a finite distance, the line itself is at an infinite distance.”

Girard Desargues (1591–1661) French mathematician and engineer

Brouillion project (1639) as quoted by Harold Scott MacDonald Coxeter, Projective Geometry (1987)

“God's knowledge extends to things not in existence, and includes also the infinite.”

Maimónides book The Guide for the Perplexed

Source: Guide for the Perplexed (c. 1190), Part III, Ch.20

God , Knowledge

“If we read History with any degree of thoughtfulness, we shall find that checks and balances of Profit and Loss have never been the grand agents with men, that they have never been roused into deep, thorough, all-pervading efforts by any computable prospect of Profit and Loss, for any visible, finite object; but always for some invisible and infinite one.”

Thomas Carlyle (1795–1881) Scottish philosopher, satirical writer, essayist, historian and teacher

1820s, Signs of the Times (1829)

Men , History , Effort , Loss

“However we may receive blows, and however knocked about we may be, the Soul is there and is never injured. We are that Infinite.”

Swami Vivekananda (1863–1902) Indian Hindu monk and phylosopher

Pearls of Wisdom

Soul

“Dreaming upon the sands I lift mine eyes to gaze
Beyond the infinite and heaving blue;
The far horizon, blurred in cloud and haze,
Bends o'er some beach (I muse) a thousand leagues from view.
"And there," saith Fancy, " looking toward these sands,
Wistful like thee, an unknown dreamer stands!"”

Robert Stanley Weir (1856–1926) Canadian judge and poet

"By The Sea", in The North American Review, Vol. 187 (February 1913) p. 234

Dreams

“When in the inmost Above all knowledge and science, we find within us a limitless ignorance when, passing beyond every name given to God or creatures, we expire and pass to an eternal Unnamable where we are lost Being the Soul follows the Divine drawing and gives itself up freely to the Spirit of God, it tastes infinite happiness impossible to comprehend, in which the whole being dissolves, caught and embraced between immense Love and unending Happiness, under the regard of Love Himself”

John Ruysbroeck (1293–1381) Flemish mystic

Source: The Seven Steps of the Ladder of Spiritual Love, p. 104

Love , God , Soul , Knowledge

“Islamic doctrine goes further than the other great religions, for it proclaims the presence of the soul, perhaps minute but nevertheless existing in an embryonic state, in all existence — in matter, in animals, trees, and space itself. Every individual, every molecule, every atom has its own spiritual relationship with the All-Powerful Soul of God. But men and women, being more highly developed, are immensely more advanced than the infinite number of other beings known to us.”

Aga Khan III (1877–1957) 48th Imam of the Nizari Ismaili community

Memoirs of Aga Khan: World Enough & Time (1954)

Women , Men , God , Religion

“For my own Part, when I am employed in serving others, I do not look upon myself as conferring Favours, but as paying Debts. In my Travels, and since my Settlement, I have received much Kindness from Men, to whom I shall never have any Opportunity of making the least direct Return. And numberless Mercies from God, who is infinitely above being benefited by our Services. Those Kindnesses from Men, I can therefore only Return on their Fellow Men; and I can only shew my Gratitude for these mercies from God, by a readiness to help his other Children and my Brethren. For I do not think that Thanks and Compliments, tho’ repeated weekly, can discharge our real Obligations to each other, and much less those to our Creator.”

Benjamin Franklin (1706–1790) American author, printer, political theorist, politician, postmaster, scientist, inventor, civic activist, …

Letter to Joseph Huey (6 June 1753); published in Albert Henry Smyth, The Writings of Benjamin Franklin, volume 3, p. 144.
Epistles

Men , God , Children , Travel

“The peace that passeth understanding is that which comes when the pain is not relieved, which subsists in the midst of the painful situation, suffusing it, which springs out of the pain itself, which shimmers on the crest of the wave of pain, which is the spear of frustration transfigured into the shaft of light. It is upon those we love that we must anchor ourselves spiritually in the last moments. The sense of interconnectedness with them stands out vividly by way of contrast at the very moment when our mortal connection with them is about to be dissolved. And the intertwining of our life with theirs, the living in the life that is in them, is but a part of our living in the infinite manifold of the spiritual life. The thought of this, as apprehended, not in terms of knowledge, but in immediate experience, begets the peace that passeth understanding. And it is upon the bosom of that peace that we can pass safely out of the realm of time and space.”

Felix Adler (1851–1933) German American professor of political and social ethics, rationalist, and lecturer

Book IV, Ch. 10 "The Last Outlook On Life"
Founding Address (1876), An Ethical Philosopy of Life (1918)

Love , Life , Pain , Peace

“At the present time man's path lies through space, and Suprematism is a colour metaphor in its infinite abyss.”

Kazimir Malevich (1879–1935) Russian and Soviet artist of polish descent

1916
Quote in 'On space and Suprematism', Kasimir Malevich, 1916; as cited in Abstract Art, Anna Moszynska, Thames and Hudson, London 1990, p. 58
1910 - 1920

Time

“God is Infinite Wisdom, and Power, and Goodness — and Love; but if this idea is too vast for your human faculties — if your mind loses itself in its overwhelming infinitude, fix it on Him who condescended to take our nature upon Him, who was raised to heaven even in His glorified human body, in whom the fullness of the Godhead shines.”

Anne Brontë book The Tenant of Wildfell Hall

Source: The Tenant of Wildfell Hall (1848), Ch. XLIX : "The Rain Descended..."; Helen to Arthur

Love , Wisdom , God , Idea

“An infinite number of monkeys typing into GNU emacs would never make a good program.”

Linus Torvalds (1969) Finnish-American software engineer and hacker

Linux 1.3.53 CodingStyle documentation, 2011-08-13, 1995 https://www.kernel.org/doc/Documentation/process/coding-style.rst,
1990s, 1995-99

“Joan was a being so uplifted from the ordinary run of mankind that she finds no equal in a thousand years. She embodied the natural goodness and valour of the human race in unexampled perfection. Unconquerable courage, infinite compassion, the virtue of the simple, the wisdom of the just, shone forth in her. She glorifies as she freed the soil from which she sprang.”

Winston S. Churchill book A History of the English-Speaking Peoples

On Saint Joan of Arc; Vol I: The Birth of Britain, p. 422
A History of the English-Speaking Peoples (1956–58)

Wisdom , Courage , Nature , Perfection

“What an illusion Mahamaya has conjured up! Here is this infinite world, and what one claims as his possession will be left behind at death. Still men cannot understand this simple truth.”

Sarada Devi (1853–1920) Hindu religious figure, spiritual consort of Ramakrishna

[Swami Nikhilananda, Holy Mother, 121]

Death , Men , Truth , World

“Our imaginations can throw off the shackles of consumerism if we start to feel the infinite once again.”

Skye Jethani

The Divine Commodity: Discovering A Faith Beyond Consumer Christianity (2009, Zondervan)

Feeling , Imagination

“The Spirit is a higher infinite of verities; life is a lower infinite of possibilities which seek to grow and find their own truth and fulfilment in the light of these verities. Our intellect, our will, our ethical and our aesthetic being are the reflectors and the mediators. The method of the West is to exaggerate life and to call down as much — or as little — as may be of the higher powers to stimulate and embellish life.
But the method of India is on the contrary to discover the spirit within and the higher hidden intensities of the superior powers and to dominate life in one way or another so as to make it responsive to and expressive of the spirit and in that way increase the power of life. Its tendency with the intellect, will, ethical, aesthetic and emotional being is to sound indeed their normal mental possibilities, but also to upraise them towards the greater light and power of their own highest intuitions.”

Sri Aurobindo (1872–1950) Indian nationalist, freedom fighter, philosopher, yogi, guru and poet

The Renaissance in India (1918)

Life , Truth , Way , Light

“The true human being … is the meaning of the universe. He is a dancing star. He is the exploding singularity pregnant with infinite possibilities.”

David Zindell book The Broken God

Source: The Broken God (1992), p. 236

Star , Universe , Dance

“Anybody can find infinite Mandelbrot figures in his navel.”

Poul Anderson (1926–2001) American science fiction and fantasy writer

Source: Harvest of Stars (1993), Ch. 60

“The soul’s pleasure is to enter and to go forth: to enter into the profound abyss of God where it is irretrievably lost in the sight of his infinite grandeur and beauty which it contemplates continually with the eye of its understanding; and to go forth from there to the ravishing sight of our Savior, the God-Man, whom it is inspired to follow by a lively imitation both interiorly and exteriorly. p. 59”

John of St. Samson (1571–1636)

From Prayer, Aspiration, and Contemplation

God , Pleasure , Beauty , Soul

“We deem our love so infinite
Because the Lord is everywhere,
And love awakening is made bright
And bathed in that diviner air.”

George William Russell (1867–1935) Irish writer, editor, critic, poet, and artistic painter

By Still Waters (1906)

Love

“After we have become familiar with the new idea, however, after it has become part of our general stock of theoretical concepts, our expectations are brought more into balance with its actual uses, and its excessive popularity is ended. A few zealots persist in the old key-to-the-universe view of it; but less driven thinkers settle down after a while to the problems the idea has really generated. They try to apply it and extend it where it applies and where it is capable of extension; and they desist where it does not apply or cannot be extended. It becomes, if it was, in truth, a seminal idea in the first place, a permanent and enduring part of our intellectual armory. But it no longer has the grandiose, all-promising scope, the infinite versatility of apparent application, it once had. The second law of thermodynamics, or the principle of natural selection, or the notion of unconscious motivation, or the organization of the means of production does not explain everything, not even everything human, but it still explains something; and our attention shifts to isolating just what that something is, to disentangling ourselves from a lot of pseudoscience to which, in the first flush of its celebrity, it has also given rise.”

Clifford Geertz book The Interpretation of Cultures

Source: The Interpretation of Cultures (1973), p. 3-4

Truth , Law , Motivation , Idea

“Divine agnosticism, the sort I'm advocating, affirms the existence of God but then acknowledges our human inability to fully grasp his infinite nature.”

Skye Jethani

The Divine Commodity: Discovering A Faith Beyond Consumer Christianity (2009, Zondervan)

God , Nature

“The future of humanity is uncertain, even in the most prosperous countries, and the quality of life deteriorates; and yet I believe that what is being discovered about the infinitely large and infinitely small is sufficient to absolve this end of the century and millennium. What a very few are acquiring in knowledge of the physical world will perhaps cause this period not to be judged as a pure return of barbarism.”

Primo Levi book Other People's Trades

"News from the Sky"
Other People's Trades (1985)

Life , World , Knowledge , Future

“The amazing number of species; their curious forms, so infinitely varied, and yet so nearly and gradually approximating through an endless series of transitions from one species to another; the diversity of structure observable in those parts which afford generic characters, added to the wonderful changes in form which they undergo, with their surprising economy - are circumstances which contribute to render them objects of most curious speculation to the philosopher. And although the study of every class of animals is most indisputably attended with peculiar advantages, yet we shall venture to affirm, that is from a knowledge of the characters, metamorphoses, and various modes of life, this little animals are destined to pursue, that [the natural philosopher] will obtain a more intimate acquaintance with the great laws of nature, and veneration for the Great Creator of all, that can be derived from the contemplation of any other class in nature.”

William Elford Leach (1790–1836) English zoologist and marine biologist

As quoted in Entomology https://archive.org/stream/CUbiodiversity1121039#page/646/mode/2up/search/creator (1816), Volume 8 of the first American edition of Sir David Brewster's Edinburgh Encyclopaedia, p. 646.

Life , Law , Nature , Knowledge

“The materialists say, it is by means of a series of straight lines more or less perfect that one imagines the perfect straight line as an ideal limit. That is right, but the progression in itself necessarily contains what is infinite; it is in relation to the perfect straight line that one can say that such and such a straight line is less twisted than some other. … Either one conceives the infinite or one does not conceive at all.”

Simone Weil (1909–1943) French philosopher, Christian mystic, and social activist

Source: Lectures on Philosophy (1959), p. 87

Imagination , Perfection

“[M]aybe the strings break, or maybe our ships sink, or maybe we're grass—our roots so interdependent that no one is dead as long as someone is still alive. We don't suffer from a shortage of metaphors, is what I mean. But you have to be careful which metaphor you choose, because it matters. If you choose the strings, then you're imagining a world in which you can become irreparably broken. If you choose the grass, you're saying that we are all infinitely interconnected, that we can use these root systems not only to understand one another but to become one another. The metaphors have implications.”

John Green book Paper Towns

Quentin "Q" Jacobsen, p. 301
Paper Towns (2008)

World , Imagination , Understanding , Grass

“What I declare and believe to have demonstrated in this work as well as in earlier papers is that following the finite there is a transfinite (transfinitum)--which might also be called supra-finite (suprafinitum), that is, there is an unlimited ascending ladder of modes, which in its nature is not finite but infinite, but which can be determined as can the finite by determinate, well-defined and distinguishable numbers.”

Georg Cantor (1845–1918) mathematician, inventor of set theory

From Kant to Hilbert (1996)

Nature

“O, let us understand that the power of Christianity lies not in a hazy indefiniteness, not in shadowy forms, not so much even in definite truths and doctrines, but in the truth and the doctrine. There is but one Christ crucified. All the gathered might of the infinite God is in that word.”

Herrick Johnson (1832–1913) American clergyman

Source: Dictionary of Burning Words of Brilliant Writers (1895), P. 72.

God , Truth , Understanding , Christ

“Our humanity rests upon a series of learned behaviors, woven together into patterns that are infinitely fragile and never directly inherited.”

Margaret Mead (1901–1978) American anthropologist

As quoted in Familiar Medical Quotations (1968) by Maurice Benjamin Strauss, p. 288
1960s

Behavior , Learning

“And yet I will venture to believe that in no time, since the beginnings of Society, was the lot of those same dumb millions of toilers so entirely unbearable as it is even in the days now passing over us. It is not to die, or even to die of hunger, that makes a man wretched; many men have died; all men must die,—the last exit of us all is in a Fire-Chariot of Pain. But it is to live miserable we know not why; to work sore and yet gain nothing; to be heart-worn, weary, yet isolated, unrelated, girt in with a cold universal Laissez-faire: it is to die slowly all our life long, imprisoned in a deaf, dead, Infinite Injustice, as in the accursed iron belly of a Phalaris' Bull! This is and remains forever intolerable to all men whom God has made. Do we wonder at French Revolutions, Chartisms, Revolts of Three Days? The times, if we will consider them, are really unexampled.”

Thomas Carlyle (1795–1881) Scottish philosopher, satirical writer, essayist, historian and teacher

1840s, Past and Present (1843)

Life , Men , Hunger , God

“Nobody ever inferred from the multiple infirmities of Windows that Bill Gates was infinitely benevolent, omniscient, and able to fix everything.”

Simon Blackburn (1944) British academic philosopher

Source: Think (1999), Chapter Five, God, p. 170

“The sea
For the sky
Confuses its white sheep
With pure angels
The sea
Shepherdess of the blue Infinite”

Charles Trenet (1913–2001) French singer-songwriter

"La Mer" (1943)

Angels , Sea

“I purpose now, while the impression is more pure and clear within me, to mark down the main things I can recollect of my father. To myself, if I live to after-years, it may be instructive and interesting, as the past grows ever holier the farther we leave it. My mind is calm enough to do it deliberately, and to do it truly. The thought of that pale earnest face which even now lies stiffened into death in that bed at Scotsbrig, with the Infinite all of worlds looking down on it, will certainly impel me. It is good to know how a true spirit will vindicate itself with truth and freedom through what obstructions soever; how the acorn cast carelessly into the wilder-ness will make room for itself and grow to be an oak. This is one of the cases belonging to that class, "the lives of remarkable men," in which it has been said, "paper and ink should least of all be spared." I call a man remarkable who becomes a true workman in this vineyard of the Highest. Be his work that of palace-building and kingdom-founding, or only of delving and ditching, to me it is no matter, or next to none. All human work is transitory, small in itself, contemptible. Only the worker thereof, and the spirit that dwelt in him, is significant. I proceed without order, or almost any forethought, anxious only to save what I have left and mark it as it lies in me.”

Thomas Carlyle (1795–1881) Scottish philosopher, satirical writer, essayist, historian and teacher

1880s, Reminiscences (1881)

Death , Men , Truth , World

“The method of successive approximations is often applied to proving existence of solutions to various classes of functional equations; moreover, the proof of convergence of these approximations leans on the fact that the equation under study may be majorised by another equation of a simple kind. Similar proofs may be encountered in the theory of infinitely many simultaneous linear equations and in the theory of integral and differential equations. Consideration ofjkbni semiordered spaces and operations between them enables us to easily develop a complete theory of such functional equations in abstract form.”

Leonid Kantorovich (1912–1986) Russian mathematician

"On one class of functional equations" (1936), as cited in: O'Connor, John J.; Robertson, Edmund F., " Leonid Kantorovich http://www-history.mcs.st-andrews.ac.uk/Biographies/Kantorovich.html", MacTutor History of Mathematics archive, University of St Andrews

Study , Success

“Know you what it is to be a child? It is to be something very different from the man of today. It is to have a spirit yet streaming from the waters of baptism; it is to believe in love, to believe in loveliness, to believe in belief; it is to be so little that the elves can reach to whisper in your ear; it is to turn pumpkins into coaches, and mice into horses, lowness into loftiness, and nothing into everything, for each child has its fairy godmother in its soul; it is to live in a nutshell and to count yourself the king of infinite space; it is
To see a world in a grain of sand,
And a Heaven in a wild flower,
Hold infinity in the palm of your hand,
And eternity in an hour;
it is to know not as yet that you are under sentence of life, nor petition that it be commuted into death.”

Francis Thompson (1859–1907) British poet

Shelley. In the Dublin Review (July 1908).

Love , Life , Death , World

“We have the richest language that ever a people has accreted, and we use it as if it were the poorest. We hoard up our infinite wealth of words between the boards of dictionaries and in speech dole out the worn bronze coinage of our vocabulary. We are the misers of philological history. And when we can save our pennies and pass the counterfeit coin of slang, we are as happy as if we heard a blind beggar thank us for putting a pewter sixpence into his hat.”

William J. Locke book The Morals of Marcus Ordeyne

The Morals of Marcus Ordeyne (1905), p. 97.

People , History , Wealth , Happiness

“The thing about performance, even if it’s only an illusion, is that it is a celebration of the fact that we do contain within ourselves infinite possibilities.”

Daniel Day-Lewis (1957) British-Irish actor

Rolling Stone (New York, February 8, 1990).

“The fact that there is a spiritual power in us, that is to say, a power which testifies to the unity of our life with the life of others, which impels us to regard others as other selves — this fact conies home to us even more forcibly in sorrow than in joy. It is thrown into clearest relief on the background of pain.
In the glow of achievement we are apt to be full of a false self-importance. But in moments of weakness we realise, through contrast, the infinitely superior strength of the power whose very humble organs and ministers we are. It is then we come to understand that, isolated from it, we are nothing; at one with it, identified with it, we participate in its eternal nature, in its resistless course.”

Felix Adler (1851–1933) German American professor of political and social ethics, rationalist, and lecturer

Section 1 : The Meaning of Life
Founding Address (1876), Life and Destiny (1913)

Life , Pain , Home , Understanding

“I believe not only in "special providences," but in the whole universe as one infinite complexity of "special providences."”

Charles Kingsley (1819–1875) English clergyman, historian and novelist

Source: Attributed, Dictionary of Burning Words of Brilliant Writers (1895), P. 279.

Universe

“If we love Him infinitely more than we do ourselves, we make an unconditional sacr”

François Fénelon (1651–1715) Catholic bishop

Dictionary of Burning Words of Brilliant Writers (1895)

Love

“You do not reach the sublime by degrees; the distance between it and the merely beautiful is infinite.”

Anne Louise Germaine de Staël book Corinne

Bk. 4, ch. 3
Corinne (1807)

Beauty

“As lines, so loves oblique may well
Themselves in every angle greet;
But ours so truly parallel,
Though infinite, can never meet.”

Andrew Marvell (1621–1678) English metaphysical poet and politician

Stanza 7.
The Definition of Love (1650-1652)

Love

“If going beyond the experiences of past seers and sages is so shocking, each new seer or sage in turn has done that shocking thing'Buddha, Shankara, Chaitanya, etc. all did that wicked act…. Truly, this shocked reverence for the past is a wonderful and fearful thing? After all, the Divine is infinite and the unrolling of the Truth may be an infinite process or at least, if not quite so much, yet with some room for new discovery and new statement, even perhaps new achievement, not a thing in a nutshell cracked and its contents exhausted once for all by the first seer or sage, while the others must religiously crack the same nutshell all over again, each tremblingly fearful not to give the lie to the 'past' seers and sages.”

Sri Aurobindo (1872–1950) Indian nationalist, freedom fighter, philosopher, yogi, guru and poet

October 8, 1935
India's Rebirth

Truth , Lie , Fear , Past

“Only a little while now and we shall be again together and with us those other noble and well-beloved souls gone before. I am sure I shall meet you and them; that you and I shall talk of a thousand things and of that unforgettable day and of all that followed it; and that we shall clearly see that all were parts of an infinite plan which was wholly wise and good.”

Richard Maurice Bucke (1837–1902) prominent Canadian psychiatrist in the late 19th century

Dedication
Cosmic Consciousness (1901)

Soul , Parting

“One can find meaning in poetry as well as in science in the contemplations of a flower as well as in the grasp of an equation. We can be filled with wonder as we stand under the majestic dome of the night sky and see the myriad lights that twinkle and shine in its seemingly infinite depths. We can also be filled wit awe as we behold the meaning of the formulae that define the propagation of light in space, the formation of galaxies, the synthesis of chemical elements, and the relation of energy, mass and velocity in the physical universe. The mystical perception of oneness and the religious intuition of a Divine intelligence are as much a construction of meaning as the postulation of the universal law of gravitation.”

Ervin László (1932) Hungarian musician and philosopher

Source: Evolution: the general theory (1996), p. 3.

Law , Intelligence , Flowers , Light

“What relation has a 'doe' to our picture of the world? Does it make any logical, or even artistic, sense, to paint the doe as it appears to our perspective vision, or in a cubistic form because we feel the world cubistically? It feels it as a doe, and its landscape must also be 'doe'… I can paint a picture: the roe; Pisanello has painted such. I can, however, also wish to paint a picture: 'the roe feels'. How infinitely sharper an intellect must the painter have, in order to paint this! The Egyptians have done it. The rose; Manet has painted that. Who has painted the flowering rose? The Indians..”

Franz Marc (1880–1916) German painter

Source: 1915 - 1916, 100 Aphorisms', Franz Marc (1915), p. 445

World , Feeling , Flowers , Sense

“For my own part, I may desire in general to be other than I am; I may condemn and dislike my whole form, and beg of Almighty God for an entire reformation, and that He will please to pardon my natural infirmity: but I ought not to call this repentance, methinks, no more than the being dissatisfied that I am not an angel or Cato. My actions are regular, and conformable to what I am and to my condition; I can do no better; and repentance does not properly touch things that are not in our power; sorrow does.. I imagine an infinite number of natures more elevated and regular than mine; and yet I do not for all that improve my faculties, no more than my arm or will grow more strong and vigorous for conceiving those of another to be so.”

Michel De Montaigne book Essays

Book III, Ch. 2
Essais (1595), Book III

God , Angels , Imagination , Nature

“First you must have faith in an eternal world independent of you; then you must have faith in your ability to perceive it, and finally you must try to explain it by means of concepts or mathematical constructions. But don't always accept traditional concepts without reexamining them. Even overthrow my relativity theory, if you find a better one.... You must believe that the world was created as a unified whole which is comprehensible to man. Of course, it's going to take an infinitely long time to investigate this unified creation. But to me that is the highest and most sacred duty—unifying physics. Simplicity is the criterion of the universe.”

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

Source: Attributed in posthumous publications, Einstein and the Poet (1983), p. 139

World , Faith , Mathematics , Universe

“In the sublime imagination of the Beatific Vision, he catches a hint of a deeper reality, but why, he asks, this distinction between time and eternity? Can the apprehension of the Infinite Good be conditioned by the clock? Oh, for a knowledge undimensioned, untimed, effect of no cause, cause of no effect!”

Sister Nivedita book The Web of Indian Life

[The Web of Indian Life, Ch. X: The Oriental Experience, http://www.sacred-texts.com/hin/wil/wil12.htm, 20 June 2012, Sister Nivedita]
The Web of Indian Life (1904)

Imagination , Knowledge , Reality , Time

“We have reached the end of the Roman republic. We have seen it rule for five hundred years in Italy and in the countries on the Mediterranean; we have seen it brought to rum in politics and morals, religion and literature, not through outward violence but through inward decay, and thereby making room for the new monarchy of Caesar. There was in the world, as Caesar found it, much of the noble heritage of past centuries and an infinite abundance of pomp and glory, but little spirit, still less taste, and least of all true delight in life. It was indeed an old world; and even the richly-gifted patriotism of Caesar [b] could not make it young again. The dawn does not return till after the night has fully set in and run its course. But yet with him there came to the sorely harassed peoples on the Mediterranean a tolerable evening after the sultry noon; and when at length after a long historical night a new day dawned once more for the peoples, and fresh nations in free self-movement commenced their race towards new and higher goals, there were found among them not a few, in which the seed sown by Caesar had sprung up, and which were and are indebted to him for their national individuality.”

Theodor Mommsen (1817–1903) German classical scholar, historian, jurist, journalist, politician, archaeologist and writer

/b
Vol. 4, Pt. 2, Translated by W.P. Dickson.
Last paragraph of the last volume
The History of Rome - Volume 4: Part 2

Life , People , World , Religion

“There are two famous labyrinths where our reason very often goes astray. One concerns the great question of the free and the necessary, above all in the production and the origin of Evil. The other consists in the discussion of continuity, and of the indivisibles which appear to be the elements thereof, and where the consideration of the infinite must enter in.”

Gottfried Leibniz book Théodicée

Il y a deux labyrinthes fameux où notre raison s’égare bien souvent : l'un regarde la grande question du libre et du nécessaire, surtout dans la production et dans l'origine du mal ; l'autre consiste dans la discussion de la continuité et des indivisibles qui en paraissent les éléments, et où doit entrer la considération de l'infini.
Théodicée (1710)ː Préface

Question , Appearance , Evil

“If it was possible for men who exercise their reason, to believe that the divine Author of our existence intended a part of the human race to hold an absolute property in, and an unbounded power over others, marked out by his infinite goodness and wisdom, as the objects of a legal domination never rightfully resistible, however severe and oppressive, the inhabitants of these Colonies might at least require from the Parliament of Great Britain some evidence, that this dreadful authority over them has been granted to that body. But a reverence for our great Creator, principles of humanity, and the dictates of common sense, must convince all those who reflect upon the subject, that Government was instituted to promote the welfare of mankind, and ought to be administered for the attainment of that end.”

John Dickinson (1732–1808) American politician

Declaration of the Causes and Necessity of Taking Up Arms (6 July 1775)

Wisdom , Men , Exercises , Sense

“At Toulon, Napoleon, looking out of the batteries, drew back a step to let some one take his place. The next moment the new arrived was killed. That step brought the French Empire, and made possible the bloody roll of its victories and defeats. The rout at Waterloo turned on a shower of rain hindering Grouchy's advance. The resolution of a moment, with some men, has been the turning-point of infinite issues to a world.”

John Cunningham Geikie (1824–1906) Scottish Presbyterian minister and author

Source: Dictionary of Burning Words of Brilliant Writers (1895), P. 387.

Men , World , Victory

“There isn't any division of time to express the marrow of our lives, the time between the explosion of lead from the muzzle and the meat impact, between the impact and the darkness. There's only barren instant replay that shows nothing new. I shot her; she fell; and there was an indescribable moment of silence, an infinite duration of time, and we all stepped back, watching the ball go around and around, ticking, bouncing, lighting for an instant, going on, heads and tails, red and black, odd and even…I think that moment ended. I really do. But sometimes, in the dark, I think that hideous random moment is still going on, that the wheel is even yet in spin, and I dreamed all the rest. What must it be like for a suicide coming down from a high ledge? I'm sure it must be a very sane feeling. That's probably why they scream all the way down.”

Stephen King book Rage

Rage (1977)

Dreams , Way , Feeling , Thinking

“And because the nature of inner being is bliss, infinite happiness, therefore the mind during TM takes that inward course in a most spontaneous manner.”

Maharishi Mahesh Yogi (1917–2008) Inventor of Transcendental Meditation, musician

Quoted from: Maharishi Mahesh Yogi - Lake Louise, Canada (1968) - MaharishiUniversity http://www.bienfaits-meditation.com/en/maharishi/videos/mechanics-of-the-technique

Nature , Happiness

“Only a humorless tyrant could want a perpetual chanting of praises that, one has no choice but to assume, would be the innate virtues and splendors furnished him by his creator, infinite regression, drowned in praise!”

Christopher Hitchens (1949–2011) British American author and journalist

2000s, 2001, Letters to a Young Contrarian (2001)

“Coming to terms with the rhythms of women's lives means coming to terms with life itself, accepting the imperatives of the body rather than the imperatives of an artificial, man-made, perhaps transcendentally beautiful civilization. Emphasis on the male work-rhythm is an emphasis on infinite possibilities; emphasis on the female rhythms is an emphasis on a defined pattern, on limitation.”

Margaret Mead (1901–1978) American anthropologist

Source: 1940s, Male and Female (1949), p. 181

Life , Women , Beauty

“We take nothing from the womb but pure filth [meras sordes]. The seething spring of sin is so deep and abundant that vices are always bubbling up form it to bespatter and stain what is otherwise pure…. We should remember that we are not guilty of one offense only but are buried in innumerable impurities…. all human works, if judged according to their own worth, are nothing but filth and defilement…. they are always spattered and befouled with many stains…. it is certain that there is no one who is not covered with infinite filth.”

John Calvin (1509–1564) French Protestant reformer

In John Calvin: A Sixteenth-Century Portrait, 1989, William J. Bouwsma, Oxford University Press, USA, ISBN 0195059514 ISBN 9780195059519, p. 36. http://books.google.com/books?id=ADdQiBaLW_kC&pg=PA36&dq=%22We+take+nothing+from+the+womb+but+pure+filth+%22&hl=en&ei=iu9lTJbUNsL48AbKt92DCQ&sa=X&oi=book_result&ct=result&resnum=1&ved=0CCgQ6AEwAA#v=onepage&q=%22We%20take%20nothing%20from%20the%20womb%20but%20pure%20filth%20%22&f=false

Spring

“Teetering in between worlds with a sleepy conscious, pestilence, infinite knowledge, alienation, burning cigarettes, vibes & male seahorses.”

Frances Bean Cobain (1992) American artist

24 March 2015 https://twitter.com/alka_seltzer666/status/580432645550641152
Twitter https://twitter.com/alka_seltzer666 posts

World , Knowledge

“Now, I should like to say something else to you about the connection with music, primarily that of Bach, i. e. the Fugue or, put more simply, the canon... It has a great deal in common with my own motifs, which I make turn on various axes too. Nowadays I have such a powerful sense of relationship, of affinity, that when I am listening to Bach I frequently get inspired and feel an overwhelming instinct for his insistent rhythm, a cadence seeking something of the infinite. In the Fugue everything is based on a single motif, often consisting of just a few notes. In my work, too, everything revolves around a single closed contour..”

M. C. Escher (1898–1972) Dutch graphic artist

version in original Dutch (origineel citaat van M.C. Escher, in het Nederlands): 'Nu wou ik je nog wat zeggen over het verband met muziek, en wel in hoofdzaak met die van Bach, d.w.z. de Fuga, of eenvoudiger canon.. .Het heeft heel veel van mijn motieven, die ik ook om verschillende assen laat draaien. Ik heb dat gevoel van relatie, verwantschap, tegenwoordig zoo sterk, dat ik tijdens het luisteren naar Bach, dikwijls geïnspireerd word en een sterke drang naar zijn dwingende ritme voel, een cadans die iets van de eindeloosheid zoekt. In de Fuga is alles gebaseerd op een enkel motief, dikwijls maar van enkele noten. Bij mij draait ook alles om een enkele gesloten contour..
Quote from Escher’s letter, 1940 to his friend Hein 's-Gravezande; as cited (and translated!) on the website of museum 'Escher in the Palace', The Hague: dutch original text https://www.escherinhetpaleis.nl/escher-vandaag and english translation https://www.escherinhetpaleis.nl/escher-today/?lang=en
1940's

Music , Feeling , Sense

“Actually the situation is even more complicated, since a separate tentacle picture is needed for each speed of motion of the electron, the speed being measured relative to the suspended magnet or other object on which the moving electron is to act. …When the electron is at rest, the tentacles stick out equally in all directions. But an electron which is at rest relative to one magnet may be in motion relative to another, and to discuss the action of the electron on this second magnet we must picture it as having a belt of tentacles round its waist. This shows that we must have a different picture for every speed of relative motion, so that the total number of pictures is infinite, and we cannot form the picture we need unless we know the speed of the electron relative to the object it is about to meet.”

James Jeans (1877–1946) British mathematician and astronomer

Physics and Philosophy (1942)

Speed

“Ought the world to be peopled by the children of hatred or disgust, the children of lust and loathing, or by the welcome babes of mutual love? Is it possible that an infinitely wise and compassionate God insists that a helpless woman shall remain the wife of a cruel wretch? Can this add to the joy of Paradise, or tend to keep one harp in tune?”

Robert G. Ingersoll (1833–1899) Union United States Army officer

Is Divorce Wrong? (1889)

Love , God , Children , People

“For I've finally realized, that I could be infinitely better than before, definitely stronger. I'll face whatever comes my way, I'll savor each moment of the day, Love as many people as I can along the way. Help someone who's given up, even if it's just to raise my eyes and pray.”

Gloria Estefan (1957) Cuban-American singer-songwriter, actress and divorciada

Always Tomorrow
2007, 2008

Love , People , Way , Help

“What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one could also call the supra-finite), that is an unbounded ascending ladder of definite modes, which by their nature are not finite but infinite, but which just like the finite can be determined by well-defined and distinguishable numbers.”

Georg Cantor (1845–1918) mathematician, inventor of set theory

As quoted in Understanding the Infinite (1994) by Shaughan Lavine ~ ISBN 0674921178

Nature

“My friends are much more dangerous than my enemies. These latter – with infinite subtlety – spin webs to keep me out of places where I hate to go, – and tell stories of me to people whom it would be vanity and vexation to meet; – and they help me so much by their unconscious aid that I almost love them.”

Lafcadio Hearn (1850–1904) writer

Letter to Ernest Fenollosa, December 1898, cited from Elizabeth Bisland (ed.) Life and Letters (Boston: Houghton Mifflin, 1923) vol. 3, p. 147.

Love , Hate , People , Help

“The method applied by Newton to the grounding of the Infinitesimal Calculus, and which since the beginning of this century has been recognised by the best mathematicians as the only one that furnishes sure results, is the method of limits. The method consists in this, viz., instead of considering a continuous transition from one value of a quantity to another, from one position to another, or, speaking generally, from one determination of a concept to another, one considers in the first place a transition through a finite number of intervals and then allows the number of these intervals to increase so that the distances of two successive points of division all decrease infinitely.”

Bernhard Riemann (1826–1866) German mathematician

General Relation of the Concept System of Thesis and Antithesis
Gesammelte Mathematische Werke (1876)

Success

“Whoever believes in a God at all, believes in an infinite mystery; and if the existence of God is such an infinite mystery, we can very well expect and afford to have many of His ways mysterious to us.”

Ichabod Spencer (1798–1854) American minister

Source: Dictionary of Burning Words of Brilliant Writers (1895), P. 421.

God , Way

“Man's unhappiness, as I construe, comes of his greatness; it is because there is an Infinite in him, which with all his cunning he cannot quite bury under the Finite.”

Thomas Carlyle (1795–1881) Scottish philosopher, satirical writer, essayist, historian and teacher

Bk. I, ch. 9.
1830s, Sartor Resartus (1833–1834)

“He that would enjoy life and act with freedom must have the work of the day continually before his eyes. Not yesterday's work, lest he fall into despair; nor to-morrow's, lest he become a visionary—not that which ends with the day, which is a worldly work; nor yet that only which remains to eternity, for by it he cannot shape his actions.
Happy is the man who can recognise in the work of to-day a connected portion of the work of life and an embodiment of the work of Eternity. The foundations of his confidence are unchangeable, for he has been made a partaker of Infinity. He strenuously works out his daily enterprises because the present is given him for a possession.
Thus ought Man to be an impersonation of the divine process of nature, and to show forth the union of the infinite with the finite, not slighting his temporal existence, remembering that in it only is individual action possible; nor yet shutting out from his view that which is eternal, knowing that Time is a mystery which man cannot endure to contemplate until eternal Truth enlighten it.”

James Clerk Maxwell (1831–1879) Scottish physicist

Paper communicated to Frederic Farrar (1854) Æt. 23, as quoted in Lewis Campbell, William Garnett, The Life of James Clerk Maxwell: With Selections from His Correspondence and Occasional Writings (1884) pp. 144-145, https://books.google.com/books?id=B7gEAAAAYAAJ&pg=PA144 and in Richard Glazebrook, James Clerk Maxwell and Modern Physics (1896) pp. 39-40. https://books.google.com/books?id=hbcEAAAAYAAJ&pg=PA39

Life , Truth , Confidence , Nature

“I have always been interested in oval or ovoid shapes. The first carvings were simple realistic oval forms of the human head or of a bird. Gradually my interest grew in more abstract values – the weight, poise and curvature of the ovoid as a basic form. The carving and piercing of such a form seems to open up an infinite variety of continuous curves in the third dimension, changing in accordance with the contours of the original ovoid and with the degree of penetration of the material. Here is a sufficient field for exploration to last a lifetime..”

Barbara Hepworth (1903–1975) English sculptor

Source: 1932 - 1946, The Studio 132:643', (1946), p. 279

Bird , Change

Quotes about infinite page 9

Quotes about infinite
page 9