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Who said: “As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.”
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Bottom Quotes (36 quotes)

[Overfishing—] it’s not just that we’re taking too many out, it’s how we’re doing it. We are wiping out their nurseries, … [because some huge boats] … bottom trawl … [with] nets that 50 years ago you’d have to lift when you came to coral reefs or rocks or nooks and crannies. Now they’re so sophisticated and so heavy, the equipment, and the boat’s so powerful they can just drag right over the coral reefs and the rocks and the nooks and crannies, and turn them into a gravel pit. … The trouble is those are the nurseries. That’s where the little fish hide and get bigger and get big enough for us to eat.
From transcript of PBS TV interview by Tavis Smiley (28 Mar 2011).
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A government, at bottom, is nothing more than a gang of men, and as a practical matter most of them are inferior men ... Government is actually the worst failure of civilized man. There has never been a really good one, and even those that are most tolerable are arbitrary, cruel, grasping and unintelligent. Indeed, it would not be far wrong to describe the best as the common enemy of all decent citizens.
…...
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A solid heavier than a fluid will, if placed in it, descend to the bottom of the fluid, and the solid will, when placed in the fluid, be lighter than its true weight by the weight of the fluid displaced.
In Thomas L. Heath (ed.), 'On Floating Bodies', The Works of Archimedes (1897), Vol. 1, Proposition 7, 258.
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All programs on jungles had previously been filmed from the bottom up, with dead leaves and a dead animal or two. Suddenly, I realized that it’s at the top that everything is blossoming and populating and having a ball. So, I wrote it from the top. The director happened to be a young, ludicrously athletic fellow who decided to film me up a 200-foot kapok tree on a rope. Sheer vanity from elder to younger led me to say yes. At 5 feet off the ground it’s interesting. At 10 feet you say, “Hmmm a bit high.” At 50 feet it’s exhausting and at 90 feet terrifying because you realize that no one can get to you if you decide you don’t like it. To get down you have to retie all the ropes. You don’t just come down. I was so petrified I had forgotten I’d left my radio on, so everyone down below was falling about with laughter listening to me praying and swearing to myself in terror. By the time I came down I had recovered my cool and was going around saying it had all been fine without realizing they’d all heard me.
In Justine de Lacy, 'Around the World With Attenborough', New York Times (27 Jan 1985), Sec. 2, 25.
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Anyone who sits on top of the largest hydrogen-oxygen fueled system in the world; knowing they’re going to light the bottom, and doesn’t get a little worried, does not fully understand the situation.
Response to question whether he was worried about embarking on the first space shuttle flight. As quoted on the nmspacemuseum.org website of the New Mexico Museum of Space History.
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As we were flying over the Mozambique Channel, which separates the island of Madagascar from the continent of Africa, we could clearly see the transverse sand bars at its bottom. It was just like a brook one waded in childhood.
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Bottom trawling is a ghastly process that brings untold damage to sea beds that support ocean life. It’s akin to using a bulldozer to catch a butterfly, destroying a whole ecosystem for the sake of a few pounds of protein. We wouldn’t do this on land, so why do it in the oceans?
In 'Can We Stop Killing Our Oceans Now, Please?', Huffington Post (14 Aug 2013).
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Chemistry is like a majestic skyscraper. The concrete secure foundation of chemistry consists of countless experimentally observed facts. The theories, principles and laws developed from these observations are like an elevator which runs from the bottom to the top of the edifice.
Ernest R. Toon and George L. Ellis (eds.), Foundations of Chemistry (1968), 1.
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Daylight Saving Time: Only the government would believe that you could cut a foot off the top of a blanket, sew it to the bottom, and have a longer blanket.
Anonymous
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Gravity, a mere nuisance to Christian, was a terror to Pope, Pagan, and Despair. You can drop a mouse down a thousand-yard mine shaft; and, on arriving at the bottom, it gets a slight shock and walks away, provided that the ground is fairly soft. A rat is killed, a man is broken, a horse splashes.
Essay, 'On Being the Right Size', collected in Possible Worlds: And Other Essays (1927, 1945), 19. (Note: Christian appears in John Bunyan, Pilgrim’s Progress, in which Pope, Pagan and Despair are giants — Webmaster.)
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I do hate sums. There is no greater mistake than to call arithmetic an exact science. There are permutations and aberrations discernible to minds entirely noble like mine; subtle variations which ordinary accountants fail to discover; hidden laws of number which it requires a mind like mine to perceive. For instance, if you add a sum from the bottom up, and then from the top down, the result is always different. Again if you multiply a number by another number before you have had your tea, and then again after, the product will be different. It is also remarkable that the Post-tea product is more likely to agree with other people’s calculations than the Pre-tea result.
Letter to Mrs Arthur Severn (Jul 1878), collected in The Letters of a Noble Woman (Mrs. La Touche of Harristown) (1908), 50. Also in 'Gleanings Far and Near', Mathematical Gazette (May 1924), 12, 95.
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I have mentioned mathematics as a way to settle in the mind a habit of reasoning closely and in train; not that I think it necessary that all men should be deep mathematicians, but that, having got the way of reasoning which that study necessarily brings the mind to, they might be able to transfer it to other parts of knowledge, as they shall have occasion. For in all sorts of reasoning, every single argument should be managed as a mathematical demonstration; the connection and dependence of ideas should be followed till the mind is brought to the source on which it bottoms, and observes the coherence all along; …
In The Conduct of the Understanding, Sect. 7.
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If [science] tends to thicken the crust of ice on which, as it were, we are skating, it is all right. If it tries to find, or professes to have found, the solid ground at the bottom of the water it is all wrong. Our business is with the thickening of this crust by extending our knowledge downward from above, as ice gets thicker while the frost lasts; we should not try to freeze upwards from the bottom.
Samuel Bulter, Henry Festing Jones (ed.), The Note-Books of Samuel Butler (1917), 329.
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If we want an answer from nature, we must put our questions in acts, not words, and the acts may take us to curious places. Some questions were answered in the laboratory, others in mines, others in a hospital where a surgeon pushed tubes in my arteries to get blood samples, others on top of Pike’s Peak in the Rocky Mountains, or in a diving dress on the bottom of the sea. That is one of the things I like about scientific research. You never know where it will take you next.
From essay 'Some Adventures of a Biologist', as quoted in Ruth Moore, Man, Time, And Fossils (1953), 174.
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If you're overfishing at the top of the food chain, and acidifying the ocean at the bottom, you're creating a squeeze that could conceivably collapse the whole system.
As quoted by Mark Bittman in 'What's Worse Than an Oil Spill?', New York Times (20 Apr 2011), A23.
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In all matters of opinion and science ... the difference between men is ... oftener found to lie in generals than in particulars; and to be less in reality than in appearance. An explication of the terms commonly ends the controversy, and the disputants are surprised to find that they had been quarrelling, while at bottom they agreed in their judgement.
Dissertation IV, 'Of the Standard of Taste', Four Dissertations (1757), 204.
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It is with theories as with wells: you may see to the bottom of the deepest if there be any water there, while another shall pass for wondrous profound when ‘tis merely shallow, dark, and empty.
As quoted, citing only the author, in 'New Publications: Dr. Wigan', The Edinburgh Review: Or Critical Journal (Oct 1844), 80, 67.
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Man is the Reasoning Animal. Such is the claim. I think it is open to dispute. Indeed, my experiments have proven to me that he is the Unreasoning Animal. … It seems plain to me that whatever he is he is not a reasoning animal. His record is the fantastic record of a maniac. I consider that the strongest count against his intelligence is the fact that with that record back of him he blandly sets himself up as the head animal of the lot: whereas by his own standards he is the bottom one.
In truth, man is incurably foolish. Simple things which the other animals easily learn, he is incapable of learning. Among my experiments was this. In an hour I taught a cat and a dog to be friends. I put them in a cage. In another hour I taught them to be friends with a rabbit. In the course of two days I was able to add a fox, a goose, a squirrel and some doves. Finally a monkey. They lived together in peace; even affectionately.
Next, in another cage I confined an Irish Catholic from Tipperary, and as soon as he seemed tame I added a Scotch Presbyterian from Aberdeen. Next a Turk from Constantinople; a Greek Christian from Crete; an Armenian; a Methodist from the wilds of Arkansas; a Buddhist from China; a Brahman from Benares. Finally, a Salvation Army Colonel from Wapping. Then I stayed away two whole days. When I came back to note results, the cage of Higher Animals was all right, but in the other there was but a chaos of gory odds and ends of turbans and fezzes and plaids and bones and flesh—not a specimen left alive. These Reasoning Animals had disagreed on a theological detail and carried the matter to a Higher Court.
In Mark Twain and Bernard DeVoto (ed.), Letters from the Earth: Uncensored Writings (1962), 180-181. [Note: As a humorous, irreverent consideration of Man and Christianity, these essays (written c.1909) remained unpublished for over 50 years after Twain’s death (1910), because his daughter and literary executor (Clara Clemens Samossoud) felt that some of the pieces did not accurately represent her father’s beliefs, but eventually, she consented to their publication.]
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Mathematics contain a great number of premises, and there is perhaps a kind of intellect that can search with ease a few premises to the bottom, and cannot in the least penetrate those matters in which there are many premises.
In Pascal’s Pensées (1958), 3.
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My child you may search forever the depths of this science [metaphysics] and you will never find a bottom. The secrets of eternal wisdom are not to be fathomed by our narrow understandings.
Letter to George Washington Adams (grandson) (10 Feb 1822). Quoted in James H. Hutson (ed.), The Founders on Religion: A Book of Quotations (2009), 49; citing Adams Papers (microfilm), reel 454, Library of Congress. Hutson provided "metaphysics" as the meaning of "science" in this context.
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Nobody is calling for an end to fishing on the high seas but some techniques, for example bottom trawling, must be banned.
In 'Can We Stop Killing Our Oceans Now, Please?', Huffington Post (14 Aug 2013).
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Science has gone down into the mines and coal-pits, and before the safety-lamp the Gnomes and Genii of those dark regions have disappeared… Sirens, mermaids, shining cities glittering at the bottom of quiet seas and in deep lakes, exist no longer; but in their place, Science, their destroyer, shows us whole coasts of coral reef constructed by the labours of minute creatures; points to our own chalk cliffs and limestone rocks as made of the dust of myriads of generations of infinitesimal beings that have passed away; reduces the very element of water into its constituent airs, and re-creates it at her pleasure.
Book review of Robert Hunt, Poetry of Science (1848), in the London Examiner (1848). Although uncredited in print, biographers identified his authorship from his original handwritten work. Collected in Charles Dickens and Frederic George Kitton (ed.) Old Lamps for New Ones: And Other Sketches and Essays (1897), 86-87.
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Science is like society and trade, in resting at bottom upon a basis of faith. There are some things here, too, that we can not prove, otherwise there would be nothing we can prove. Science is busy with the hither-end of things, not the thither-end. It is a mistake to contrast religion and science in this respect, and to think of religion as taking everything for granted, and science as doing only clean work, and having all the loose ends gathered up and tucked in. We never reach the roots of things in science more than in religion.
From 'Walking by Faith', The Pattern in the Mount: And Other Sermons (1885), 49. The sentence “Science is busy with the hither-end of things, not the thither-end” is quoted alone in collections such as James Wood, Dictionary of Quotations from Ancient and Modern, English and Foreign Sources (1893), 382:35.
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Science, at bottom, is really anti-intellectual. It always distrusts pure reason, and demands the production of objective fact.
In Minority Report: H. L. Mencken’s Notebooks (1956, 2006), 277.
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The bottom of the sea is the great laboratory, where loose materials are mineralized and formed into stone, the atmosphere is the region where stones are decomposed, and again resolved into earth.
In The Works of John Playfair: Vol. 1: Illustrations of the Huttonian Theory of the Earth (1822), 109.
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The fact that we live at the bottom of a deep gravity well, on the surface of a gas covered planet going around a nuclear fireball 90 million miles away and think this to be normal is obviously some indication of how skewed our perspective tends to be.
In The Salmon of Doubt: Hitchhiking the Galaxy One Last Time (2002), 132.
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The mutton in the study gathered over it a thick blanket of Penicillium. On the 13th [December 1875] it had assumed a light brown colour as if by a faint admixture of clay; but the infusion became transparent. The ‘clay’ here was the slime of dead or dormant Bacteria, the cause of their quiescence being the blanket of Penicillium. I found no active life in this tube, while all the others swarmed with Bacteria. In every case where the mould was thick and coherent the Bacteria died, or became dormant, and fell to the bottom of the sediment … The Bacteria which manufacture a green pigment appear to be uniformly victorious in their fight with the Penicillium.
From paper read to the Royal Institution (1 Jan 1876). In 'Professor Tyndall on the Optical Deportment of the Atmosphere in Relation to Putrefaction and Infection' , Philosophical Transactions of the Royal Society of London (1876), 166, 62.
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The ocean's bottom is at least as important to us as the moon's behind.
Gordon Lill and Arthur Maxwell, quoting a proverb of the American Miscellaneous Society (AMSOC, which Lill co-founded), 'The Earth's Mantle', Science (22 May 1959), 129, No. 3360, 1410.
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The psychoanalysis of individual human beings, however, teaches us with quite special insistence that the god of each of them is formed in the likeness of his father, that his personal relation to God depends on his relation to his father in the flesh and oscillates and changes along with that relation, and that at bottom God is nothing other than an exalted father.
(Originally published 1913). Totem and Taboo, vol. 13, pt. 4, sct. 6, Complete Works, Standard Edition, eds. James Strachey and Anna Freud (1953).
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There is a river in the ocean. In the severest droughts it never fails, and in the mightiest floods it never overflows. Its banks and its bottom are of cold water, while its current is of warm. The Gulf of Mexico is its fountain, and its mouth is in the Arctic Sea. It is the Gulf Stream.
Opening paragraph of The Physical Geography of the Sea (1855), 25.
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There is a river in the ocean. In the severest droughts it never fails, and in the mightiest floods it never overflows. Its banks and its bottom are of cold water, while its current is of warm. The Gulf of Mexico is its fountain, and its mouth is in the Arctic Seas. It is the Gulf Stream. There is in the world no other such majestic flow of waters. Its current is more rapid than the Mississippi or the Amazon.
In The Physical Geography of the Sea and Its Meteorology (1855), 25.
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There may be fairies at the bottom of the garden. There is no evidence of it, but you can’t prove that there aren’t any so shouldn’t we be agnostic with respect to fairies? The trouble with the agnostic argument is that it can be applied to anything. There is an infinite number of hypothetical beliefs we could hold which we can’t positively disprove. On the whole, people don’t believe in most of them, such as fairies, unicorns, dragons, Father Christmas, and so on. But on the whole they do believe in a creator God, together with whatever particular baggage goes with the religion of their parents.
From speech at the Edinburgh International Science Festival (15 Apr 1992), published in the Independent newspaper. Included in excerpt in Alec Fisher, The Logic of Real Arguments (2004), 84. The full speech was reprinted in The Nullifidian, (Dec 1994). Transcribed online in the Richard Dawkins archive, article 89, titled: Lecture from 'The Nullifidian' (Dec 94).
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Time is but the stream I go a-fishing in. I drink at it; but while I drink I see the sandy bottom and detect how shallow it is. Its thin current slides away, but eternity remains.
In 'Where I Lived and What I Lived For', in Walden: Or, Life in the Woods (1854, 1899), 112.
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We know less about the ocean's bottom than about the moon's back side.
Quoted in obituary, Physics Today (Feb 1992) 120.
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Wedges of gold, great anchors, heaps of pearl,
Inestimable stones, unvalued jewels,
All scattered in the bottom of the sea.
From Richard III (Nov 1633), Act 1, Scene 4. In The Plays of William Shakespeare (1804), Vol. 5, 33.
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Why do you so earnestly seek the truth in distant places?
Look for delusion and truth in the bottom of your own hearts.
Quoted in Kim Lim (ed.), 1,001 Pearls of Spiritual Wisdom: Words to Enrich, Inspire, and Guide Your Life (2014), 247
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Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
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