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 MorganRelated topics
anything character conception difficulty following science series treatise trial ultimate workRelated quotes
Hence the ancient architects, following in the footsteps of nature, perfected the ascending rows of seats in theatres from their investigations of the ascending voice, and by means of the canonical theory of the mathematicians and that of the musicians, endeavoured to make every voice uttered on the stage come with greater clearness and sweetness to the ears of the audience. For just as musical instruments are brought to perfection of clearness in the sound of their strings by means of bronze plates or horn, so the ancients devised methods of increasing the power of the voice in theatres through the application of harmonics.
Vitruvius
It is possible to express the laws of thermodynamics in the form of independent principles, deduced by induction from the facts of observation and experiment, without reference to any hypothesis as to the occult molecular operations with which the sensible phenomena may be conceived to be connected; and that course will be followed in the body of the present treatise. But, in giving a brief historical sketch of the progress of thermodynamics, the progress of the hypothesis of thermic molecular motions cannot be wholly separated from that of the purely inductive theory.
William John Macquorn Rankine
The Western approach to reality is mostly through theory, and theory begins by denying reality - to talk about reality, to go around reality, to catch anything that attracts our sense-intellect and abstract it away from reality itself. Thus philosophy begins by saying that the outside world is not a basic fact, that its existence can be doubted and that every proposition in which the reality of the outside world is affirmed is not an evident proposition but one that needs to be divided, dissected and analyzed. It is to stand consciously aside and try to square a circle.
Bruce Lee
What is a charitable heart? It is a heart which is burning with love for the whole creation, for men, for the birds, for the beasts ... for all creatures. He who has such a heart cannot see or call to mind a creature without his eyes being filled with tears by reason of the immense compassion which seizes his heart; a heart which is softened and can no longer bear to see or learn from others of any suffering, even the smallest pain being inflicted upon a creature. That is why such a man never ceases to pray for the animals ... [He is] ... moved by the infinite pity which reigns in the hearts of those who are becoming united with God.
Isaac the Syrian
Do not do anything without signing yourself with the sign of the Cross! When you depart on a journey, when you begin your work, when you go to study, when you are alone, and when you are with other people, seal yourself with the Holy Cross on your forehead, your body, your chest, your heart, your lips, your eyes, your ears. All of you should be sealed with the sign of Christ's victory over hell. Then you will no longer be afraid of charms, evil spirits, or sorcery, because these are dissolved by the power of the Cross like wax before fire and like dust before the wind.
Cleopa Ilie