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.
Augustus De MorganRelated topics
certain great increase less name point series small value wayRelated quotes
The nude gains its enduring value from the fact that it reconciles several contrary states. It takes the most sensual and immediately interesting object, the human body, and puts it out of reach of time and desire; it takes the most purely rational concept of which mankind is capable, mathematical order, and makes it a delight to the senses; and it takes the vague fears of the unknown and sweetens them by showing that the gods are like men and may be worshiped for their life-giving beauty rather than their death-dealing powers.
Kenneth Clark
Of this voyage, I observe,' says the Admiral, 'that it has miraculously been shown, as may be understood by this writing, by the many signal miracles that He has shown on the voyage, and for me, who for so great a time was in the court of Your Highnesses with the opposition and against the opinion of so many high personages of your household, who were all against me, alleging this undertaking to be folly, which I hope in Our Lord will be to the greater glory of Christianity, which to some slight extent already has happened.
Christopher Columbus
Now, if the principle of toleration were once admitted into classical education --if it were admitted that the great object is to read and enjoy a language, and the stress of the teaching were placed on the few things absolutely essential to this result, if the tortoise were allowed time to creep, and the bird permitted to fly, and the fish to swim, towards the enchanted and divine sources of Helicon --all might in their own way arrive there, and rejoice in its flowers, its beauty, and its coolness.
Harriet Beecher Stowe
Philosophy is written in this grand book, which stands continually open before our eyes (I say the 'Universe'), but can not be understood without first learning to comprehend the language and know the characters as it is written. It is written in mathematical language, and its characters are triangles, circles and other geometric figures, without which it is impossible to humanly understand a word; without these one is wandering in a dark labyrinth.
Galileo Galilei
We have looked first at man with his vanities and greed and his problems of a day or a year; and then only, and from this biased point of view, we have looked outward at the earth he has inhabited so briefly and at the universe in which our earth is so minute a part. Yet these are the great realities, and against them we see our human problems in a different perspective. Perhaps if we reversed the telescope and looked at man down these long vistas, we should find less time and inclination to plan for our own destruction.
Rachel Carson