doubling QUOTES

3 " There is no such thing as not voting: you either vote by voting, or you vote by staying home and tacitly doubling the value of some Diehard's vote. "

― David Foster Wallace , Consider the Lobster and Other Essays

5 " In sum, doubling is the psychological means by which one invokes the evil potential of the self. That evil is neither inherent in the self nor foreign to it. To live out the doubling and call forth the evil is a moral choice for which one is responsible, whatever the level of consciousness involved. "

― Robert Jay Lifton , Thought Reform and the Psychology of Totalism: A Study of 'Brainwashing' in China

7 " If you could do it, I suppose, it would be a good idea to live your life in a straight line - starting, say, in the Dark Wood of Error, and proceeding by logical steps through Hell and Purgatory and into Heaven. Or you could take the King's Highway past the appropriately named dangers, toils, and snares, and finally cross the River of Death and enter the Celestial City. But that is not the way I have done it, so far. I am a pilgrim, but my pilgrimage has been wandering and unmarked. Often what has looked like a straight line to me has been a circling or a doubling back. I have been in the Dark Wood of Error any number of times. I have known something of Hell, Purgatory, and Heaven, but not always in that order. The names of many snares and dangers have been made known to me, but I have seen them only in looking back. Often I have not known where I was going until I was already there. I have had my share of desires and goals, but my life has come to me or I have gone to it mainly by way of mistakes and surprises. Often I have received better than I deserved. Often my fairest hopes have rested on bad mistakes. I am an ignorant pilgrim, crossing a dark valley. And yet for a long time, looking back, I have been unable to shake off the feeling that I have been led - make of that what you will. "

― Wendell Berry , Jayber Crow

9 " If we compare two static economic systems, which differ in no way from one another except that in one there is twice as much money as in the other, it appears that the purchasing power of the monetary unit in the one system must be equal to half that of the monetary unit in the other. Nevertheless, we may not conclude from this that a doubling of the quantity of money must lead to a halving of the purchasing power of the monetary unit; for every variation in the quantity of money introduces a dynamic factor into the static economic system. The new position of static equilibrium that is established when the effects of the fluctuations thus set in motion are completed cannot be the same as that which existed before the introduction of the additional quantity of money. Consequently, in the new state of equilibrium the conditions of demand for money, given a certain exchange-value of the monetary unit, will also be different. If the purchasing power of each unit of the doubled quantity of money were halved, the unit would not have the same significance for each individual under the new conditions as it had in the static system before the increase in the quantity of money. "

― Ludwig von Mises , The Theory of Money and Credit

11 " [I]f thou loiter when thou shouldst labour, thou wilt lose the crown. O fall to work then speedily and seriously, and bless God that thou hast yet time to do it; and though that which is past cannot be recalled, yet redeem the time now by doubling thy diligence (260). "

― Richard Baxter , The Saints' Everlasting Rest

13 " If we increase r [in a logistic map] even more, we will eventually force the system into a period-8 limit cycle, then a period-16 cycle, and so on. The amount that we have to increase r to get another period doubling gets smaller and smaller for each new bifurcation. This cascade of period doublings is reminiscent of the race between Achilles and the tortoise, in that an infinite number of bifurcations (or time steps in the race) can be confined to a local region of finite size. At a very special critical value, the dynamical system will fall into what is essentially an infinite-period limit cycle. This is chaos. "

15 " The capacity of computers is doubling every eight months. It's exponential development. I think it's a real threat, actually, that a computer one day will be more intelligent than us. "

17 " I will continue to push for doubling the strength of the U.S. Border Patrol, and to make sure that every cargo container that enters this nation is screened for radiation and potential weapons of mass destruction. "

19 " In a world in which the total of human knowledge is doubling about every ten years, our security can rest only on our ability to learn. "