Approximation Quotes

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  • There is a noticeable general difference between the sciences and mathematics on the one hand, and the humanities and social sciences on the other. It's a first approximation, but one that is real. In the former, the factors of integrity tend to dominate more over the factors of ideology. It's not that scientists are more honest people. It's just that nature is a harsh taskmaster. You can lie or distort the story of the French Revolution as long as you like, and nothing will happen. Propose a false theory in chemistry, and it'll be refuted tomorrow.

    Integrity   Real   Lying  
    "Noam Chomsky: A Life of Dissent". Book by Robert F. Barsky, 1997.
  • The nearest approximation to an understanding of life is to feel it--to realize it to the full--to be a profound and inscrutable mystery.

    Christian Nestell Bovee (1862). “Intuitions and Summaries of Thought”, p.11
  • Sorrow, terror, anguish, despair itself are often the chosen expressions of an approximation to the highest good. Our sympathy in tragic fiction depends on this principle; tragedy delights by affording a shadow of the pleasure which exists in pain. This is the source also of the melancholy which is inseparable from the sweetest melody. The pleasure that is in sorrow is sweeter than the pleasure of pleasure itself.

    Percy Bysshe Shelley (2006). “A Defence of Poetry: an Essay: Easyread Large Edition”, p.57, ReadHowYouWant.com
  • Although this may seem a paradox, all exact science is based on the idea of approximation. If a man tells you he knows a thing exactly, then you can be safe in inferring that you are speaking to an inexact man.

    Math   Men   Ideas  
  • We believe that poverty does not belong in a civilized human society. It belongs in museums [...] A poverty-free world might not be perfect, but it would be the best approximation of the ideal.

  • Some of the big philosophical problems have been solved by science, at least to a 1st approximation. Examples: the problems of matter, and mind. Only philosophical reactionaries, like Noam Chomsky, claim that they are and will remain mysteries.

    Source: deutsche-denker.de
  • All models are approximations. Essentially, all models are wrong, but some are useful. However, the approximate nature of the model must always be borne in mind.

    George E. P. Box, Norman R. Draper (2007). “Response Surfaces, Mixtures, and Ridge Analyses”, p.414, John Wiley & Sons
  • Personally, I don't see old economics and behavioural economics as opposed. It is useful to assume people are rational as a good approximation to their long term behaviour, but it would be unwise not to think how in practice their behaviour may deviate from that simplifying assumption.

  • Between the approximation of the idea and the precision of reality there was a small gap of the unimaginable, and it was this hiatus that gave him no rest.

    Reality   Ideas   Gaps  
    "The Most Human Human: What Talking with Computers Teaches Us About What It Means to Be Alive". Book by Brian Christian, March 1, 2011.
  • I hope that I am generous and tolerant, but certainly on the intellectual side I think that there are discoverable truths, and some things that are closer approximations to the truth than others.

  • The more perfect the approximation to truth, the more perfect is art.

    Maria Montessori, F. Simmonds (trans.) (2008). “Spontaneous Activity in Education”, p.197, Lulu.com
  • Zoo is an artificial territory, an approximation. Civilization is our natural territory.

    Interview, www.bookbrowse.com. October 2, 2002.
  • We live in a system of approximations. Every end is prospective of some other end, which is also temporary; a round and final success nowhere. We are encamped in nature, not domesticated.

    Ralph Waldo Emerson (2012). “Nature and Other Essays”, p.44, Courier Corporation
  • In this game he had acquired a great deal of muddled knowledge, more than one approximation and less than one certitude. And absence of energy, a curiosity that was too sharp to be crushed immediately, a lack of order in his ideas, a weakening of his spiritual boundaries, which were promptly twisted, an excessive passion for running along forked roads and wearying of the path as soon as he had started on it, mental indigestion demanding varied dishes, quickly tiring of the foods he desired, digesting almost all, but badly, was his state.

  • I dream of a collaboration that will become so complete that, often, the poet will think as musician and the musician as poet, so that the work resulting from this union will not be the random conclusion of a series of approximations and concessions, but the harmonious synthesis of two aspects of the same thought.

    Dream   Thinking   Two  
  • To do Mohammed justice, his main attack was against the idolatries of Asia. Only he thought, just as the Arians did and just as the Unitarians do, that he could attack them better with a greater approximation to plain theism. What distinguishes his heresy from anything like an Arian or Albigensian heresy is that, as it sprang up on the borders of Christendom, it could spread outwards to a barbaric world.

    Justice   Islam   Borders  
  • I don't believe that we are what we do although many thinkers argue otherwise. I believe that what we do is, very often, a poor approximation of what we are -- an imperfect manifestation of a much better totality. Even the best of us sometimes bite off, as it were, less than we can chew.

  • All models are wrong, but some are useful.

    George E. P. Box, Norman R. Draper (2007). “Response Surfaces, Mixtures, and Ridge Analyses”, p.414, John Wiley & Sons
  • Every one of us sees 'green' differently. So everything is an approximation of understanding.

  • Each such answer to the great question, invariably asserted by the followers of its propounder, if not by himself, to be complete and final, remains in high authority and esteem, it may be for one century, or it may be for twenty: but, as invariably, Time proves each reply to have been a mere approximation to the truth tolerable chiefly on account of the ignorance of those by whom it was accepted, and wholly intolerable when tested by the larger knowledge of their successors.

    Thomas Henry Huxley (1997). “The Major Prose of Thomas Henry Huxley”, p.66, University of Georgia Press
  • Books ... were merely nodes in a near-infinite matrix of information that exists in four dimensions, evolving toward the idea of the concept of the approximation of the shadow of Truth vertically through time as well as longitudinally through knowledge.

    Book   Ideas   Shadow  
  • An artist cannot be partially sincere any more than art can be an approximation of beauty.

    Art   Artist   Sincere  
    "Sculpting in Time" by Andrei Tarkovsky, (p. 47), 1986.
  • History is a series of approximations of the final singularity.

  • Experimental science hardly ever affords us more than approximations to the truth; and whenever many agents are concerned we are in great danger of being mistaken.

  • Clearly it is not the lovelorn sufferer who seeks solace in chocolate, but rather the chocolate-deprived individual, who, desperate, seeks in mere love a pale approximation of bittersweet euphoria.

  • Your superhuman power was to be able not to feel. Is it there inside everybody, this self that comes out while you are in captivity? You become the closest approximation of yourself that can tolerate living there.

    Numbness   Self   Able  
    Heather O'Neill (2014). “Lullabies for Little Criminals”, p.139, Hachette UK
  • Although this may seem a paradox, all exact science is dominated by the idea of approximation. When a man tells you that he knows the exact truth about anything, you are safe in inferring that he is an inexact man. Every careful measurement in science is always given with the probable error ... every observer admits that he is likely wrong, and knows about how much wrong he is likely to be.

    Truth   Science   Men  
    "The Scientific Outlook".
  • It seems that truth is progressive approximation in which the relative fraction of our spontaneously tolerated residual error constantly diminishes.

    R. Buckminster Fuller (2008). “And It Came to Pass — Not to Stay”, p.30, Estate of R. Buckminster Fuller
  • Macroscopic objects, as we see them all around us, are governed by a variety of forces, derived from a variety of approximations to a variety of physical theories. In contrast, the only elements in the construction of black holes are our basic concepts of space and time. They are, thus, almost by definition, the most perfect macroscopic objects there are in the universe.

    Space   Perfect   Black  
  • Spirituality is much wider than any particular religion, and in the larger ideas of it that are now coming on us even the greatest religion becomes no more than a broad sect or branch of the one universal religion, by which we shall understand in the future man's seeking for the eternal, the divine, the greater self, the source of unity and his attempt to arrive at some equation, some increasing approximation of the values of human life with the eternal and the divine values.

    Men   Self   Ideas  
    Sri Aurobindo International Centre of Education (Pondicherry, India), Aurobindo Ghose (1996). “Bulletin”
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