Limit Quotes - page 11
I cannot exist entirely except when somehow I go beyond the stage of action. Otherwise I'm a soldier, a professional, a man of learning, not a "total human being.” The fragmentary state of humanity is basically the same as the choice of an object. When you limit your desires to possessing political power, for instance, you act and know what you have to do. ... You insert your existence advantageously into time. Each of your moments becomes useful. With each moment, the possibility is given you to advance to some chosen goal, and your time becomes a march toward that goal-what's normally called living. ... Every action makes you a fragmentary existence. I hold on to my nature as an entirety only by refusing to act-or at least by denying the superiority of time, which is reserved for action.
Georges Bataille
The following Treatise... has been endeavoured to make the theory of limits, or ultimate ratios... the sole foundation of the science, without any aid whatsoever from the theory of series, or algebraical expansions. I am not aware that any work exists in which this has been avowedly attempted, and I have been the more encouraged to make the trial from observing that the objections to the theory of limits have usually been founded either upon the difficulty of the notion itself, or its unalgebraical character, and seldom or never upon anything not to be defined or not to be received in the conception of a limit...
Augustus De Morgan
When... we have a series of values of a quantity which continually diminish, and in such a way, that name any quantity we may, however small, all the values, after a certain value, are severally less than that quantity, then the symbol by which the values are denoted is said to diminish without limit. And if the series of values increase in succession, so that name any quantity we may, however great, all after a certain point will be greater, then the series is said to increase without limit. It is also frequently said, when a quantity diminishes without limit, that it has nothing, zero or 0, for its limit: and that when it increases without limit it has infinity or ∞ or 1⁄0 for its limit.
Augustus De Morgan
In economic surveys of households, many variables have the following characteristics: The variable has a lower, or upper, limit and takes on the limiting value for a substantial number of respondents. For the remaining respondents, the variable takes on a For the remaining respondents, the variable takes on a wide range of values above, or below, the limit.
James Tobin
The Christian ecumenical movement will have reached its limit, meaning that Catholicism will have turned into Protestantism and Protestantism into agnosticism.... But Islam will not have lost any of its rigour.... Supernature abhors a supervacuum. With the death of institutional Christianity will come the spread of Islam.
Anthony Burgess
The third and intermediate kind of instruction, which connects the first two... relates to the application of scientific principles to practical purposes. It qualifies the student to plan a structure or a machine for a given purpose, without the necessity of copying some existing example, and to adapt his designs to situations to which no existing example affords a parallel. It enables him to compute the theoretical limit of the strength or stability of a structure, or the efficiency of a machine of a particular kind-to ascertain how far an actual structure or machine fails to attain that limit-to discover the cause of such shortcomings-and to devise improvements for obviating such causes; and it enables him to judge how far an established practical rule is founded on reason, how far on mere custom, and how far on error.
William John Macquorn Rankine
I work in evolutionary biology, but with cells and microorganisms. Richard Dawkins, John Maynard Smith, George Williams, Richard Lewontin, Niles Eldredge, and Stephen Jay Gould all come out of the zoological tradition, which suggests to me that, in the words of our colleague Simon Robson, they deal with a data set some three billion years out of date. Eldredge and Gould and their many colleagues tend to codify an incredible ignorance of where the real action is in evolution, as they limit the domain of interest to animals... very tardy on the evolutionary scene, and they give us little real insight into the major sources of evolution's creativity. By "codifying ignorance" I refer in part to the fact that they miss four of the five kingdoms of life... bacteria, protoctista, fungi, and plants.
Lynn Margulis
In the name of womanhood and humanity, I earnestly ask
That a general congress of women without limit of nationality,
May be appointed and held at someplace deemed most convenient
And the earliest period consistent with its objects,
To promote the alliance of the different nationalities,
The amicable settlement of international questions,
The great and general interests of peace.
Julia Ward Howe
Is it not proven beyond all dispute that there is no limit to the enormities which men will commit when they are once persuaded that they are keepers of other men's consciences? To spread religion by any means, and to crush heresy by all means is the practical inference from the doctrine that one man may control another's religion. Given the duty of a state to foster some one form of faith, and by the sure inductions of our nature slowly but certainly persecution will occur. To prevent for ever the possibility of Papists roasting Protestants, Anglicans hanging Romish priests, and Puritans flogging Quakers, let every form of state-churchism be utterly abolished, and the remembrance of the long curse which it has cast upon the world be blotted out for ever.
Charles Spurgeon
