Herbie Hancock - BBC Horizon TV - Jean-Paul Sartre - Oliver Wendell Holmes - Carl Sagan TV - Alfred de Musset L’Espoir en Dieu - Doron Zeilberger - Raymond Smullyan - Jean DieuDonne - William Shakespeare - William Blake - Bertrand Russell - Blaise Pascal - Percy Bysshe Shelley - Anaxagoras - Aristotle - Morris Kline - H L Mencken - Dangerous Knowledge TV - Max Webber - Arthur C Clarke TV -
2,126. Life is not about finding our limitations, it’s about finding our infinity. (Life’s Like That & Infinity) Herbie Hancock
3,226. The mathematical objection is that as the clock is wound back and Hubble’s zero hour is approached all the stuff of the universe is crammed into a smaller and smaller space. Eventually, that space will become infinitely small. And in mathematics invoking infinity is the same as giving up. Or cheating. (Big Bang & Universe & Science & Mathematics & Infinity) Horizon: What Happened Before the Big Bang? BBC 2010
77,264. Is the universe infinite? Might every event repeat again and again and again ... Is the Earth just one of uncountable copies tumbling through an unending void? (Infinity & Mathematics & Numbers & Universe) Horizon: To Infinity & Beyond, BBC 2010
77,265. A google-plex has so many zeros that there is not enough space in the observable universe just to write the number down. (Infinity & Mathematics & Numbers & Universe) ibid.
77,266. Graham’s number is so big it even made it into the Guinness Book of Records. (Infinity & Mathematics & Numbers & Universe) ibid.
77,267. In an infinite universe anything that is possible has to happen. (Infinity & Mathematics & Numbers & Universe) ibid.
77,268. While no-one likes the idea of space coming to an end, the consequences of an infinite universe are even more bewildering. (Infinity & Mathematics & Numbers & Universe) ibid.
2,831. The universe is infinite. (Universe & Cosmology & Astronomy & Infinity) Horizon: How Big is the Universe? BBC 2012
73,010. No finite point has meaning without an infinite reference point. (Finite & Infinity) Jean-Paul Sartre
73,011. Civilisation is the process of reducing the infinite to the finite. (Finite & Infinity) Oliver Wendell Holmes
72,012. We must accept finite disappointment, but never lose infinite hope. (Finite & Infinity & Hope & Disappointment) Martin Luther King junior
73,015. Our knowledge can only be finite, while our ignorance must necessarily be infinite. (Finite & Infinity & Knowledge & Ignorance) Karl Popper
77,262. No matter what number you have in mind infinity is larger. Professor Carl Sagan & Ann Druyan, Cosmos: The Lives of the Stars, 1979
77,263. I can’t help it, the idea of the infinite torments me. Alfred de Musset, L’Espoir en Dieu, 1838
77,264. I always found something repulsive about it. Professor Doron Zeilberger, Rutgers University
77,265. Imagine that all of you are in Hades and I am the devil. I make the following proposition, I say: I’ve written down on a positive integer on a slip of paper, a whole number ... Every day you’re allowed one guess as to what that number is ... (Infinity & Numbers & Mathematics) Professor Raymond Smullyan
77,266. If we didn’t have infinite there would be no mathematics at this time ... Infinite for us has become formal. (Infinity & Mathematics) Professor Jean DieuDonne
70,719. I could be bounded in a nut-shell, and count myself a king of infinite space, were it not that I have bad dreams. (Dream & Infinity) William Shakespeare, Hamlet II ii 251-252, Hamlet
70,721. The more you approach infinity, the deeper you penetrate terror. (Infinity & Terror) Gustave Flaubert
70,720. If the doors of perception were cleansed, everything would appear to man as it is – infinite. William Blake
70,722. To see a world in a grain of sand and heaven in a wild flower
Hold infinity in the palms of your hand and eternity in an hour. (Infinity & Eternity & Hour & Life’s Like That & World) William Blake
77,262. If any philosopher had been asked for a definition of infinity, he might have produced some unintelligible rigmarole, but he would certainly not have been able to give a definition that had any meaning at all. Bertrand Russell
77,263. The last proceeding of reason is to recognize that there is an infinity of things which are beyond it. There is nothing so conformable to reason as this disavowal of reason. Blaise Pascal
95,990. The eternal silence of these infinite spaces makes me afraid. (Infinite & Silence & Afraid) Blaise Pascal
77,264. I think that the leaf of a tree, the meanest insect on which we trample, are in themselves arguments more conclusive than any which can be adduced that some vast intellect animates Infinity. Percy Bysshe Shelley
77,265. All things were together, infinite both in number and in smallness; for the small too was infinite. Anaxagoras, cited John Burnet 1920
77,266. The infinite presents itself first in the continuous. Aristotle
77,267. Aristotle had considered the question of whether space is infinite and gave six nonmathematical arguments to prove that it is finite; he foresaw that this question would be troublesome. (Infinity & Finite) Morris Kline, Mathematical Thought From Ancient to Modern Times, 1972
77,268. The concept of infinity came in relatively late, even in Egypt, and ... its first fathers were more likely metaphysicians than theologians. In looking backward, as in looking forward, early man was quite unable to imagine endless time. Always he concluded that the animal creation, including his own kind, must have a beginning, and the earth he walked on, with it. Sometimes he ascribed the act of creation to the gods, or to one of them, and sometimes he laid it to a potent being of lesser dignity, usually to a totem animal. H L Mencken, Treatise on the Gods, 1930
102,277. Beneath the surface of the world are the rules of science. But beneath them there is a far deeper set of rules, a matrix of pure mathematics which explains the nature of the rules of science and how it is we can understand them in the first place. (Mathematics & Laws of Science & Infinity) Dangerous Knowledge, BBC 2007
102,278. Georg Cantor: how big is infinity? (Mathematics & Laws of Science & Infinity) ibid.
102,279. A whole hierarchy of different infinities. (Mathematics & Laws of Science & Infinity) ibid.
73,019. All the analysis of infinite reality which the finite human mind can conduct rests on the tacit assumption that only a finite portion of this reality constitutes the object of scientific investigation, and that only it is ‘important’ in the sense of being ‘worthy of being known’. (Finite & Infinity & Reality) Max Weber
27,448. This is the Mandelbrot set. One of the most beautiful and remarkable discoveries in the entire history of mathematics. Yet it was discovered as recently as 1980 … This is going to change our view of the universe and give us a better understanding of its working. (Geometry & Infinity) Arthur C Clarke, The Colours of Infinity, 1995
139,999. No matter how much we magnified it, a million times, a billion times, until the original set was bigger than the entire universe, we would still see new patterns, new images emerging, because the frontier of the M-set is infinitely complex. (Geometry & Infinity) ibid.
140,000. It was not discovered until the era of modern computers. (Geometry & Infinity) ibid.