Quantity Quotes - page 6
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
And Festus said with a loud voice, Paul, thou art beside thyself.”
Acts 26:24.
And so say all the world, the men who know not God, of all that are of Paul's religion: of every one who is so a follower of him as he was of Christ. It is true, there is a sort of religion, nay, and it is called Christianity too, which may be practised without any such Imputation, which is generally allowed to be consistent with common sense, -that is, a religion of form, a round of outward duties, performed in a decent, regular manner. You may add orthodoxy thereto, a system of right opinions, yea, and some quantity of heathen morality; and yet not many will pronounce, that "much religion hath made you mad.” But if you aim at the religion of the heart, if you talk of "righteousness, and peace, and joy in the Holy Ghost,” then it will not be long before your sentence is passed, "Thou art beside thyself.
John Wesley
Every measurable thing except numbers is imagined in the manner of a continuous quantity. Therefore, for the mensuration of such a thing, it is necessary that points, lines, and surfaces, or their properties, be imagined. For in them... measure or ratio is initially found... Therefore, every intensity which can be acquired successively ought to be imagined by a straight line perpendicularly erected on some point of the space or subject of the intensible thing, e. g., a quality... And since the quantity or ratio of lines is better known and is more readily conceived by us-nay the line is in the first species of continua, therefore such intensity ought to be imagined by lines... Therefore, equal intensities are designated by equal lines, a double intensity by a double line, and always in the same way if one proceeds proportionally.
Nicole Oresme
One of the most important axioms is, that as the quantity of any commodity, for instance, plain food, which a man has to consume, increases, so the utility or benefit derived from the last portion used decreases in degree. The decrease in enjoyment between the beginning and the end of a meal may be taken as an example. And I assume that on an average, the ratio of utility is some continuous mathematical function of the quantity of commodity. This law of utility has, in fact, always been assumed by political economists under the more complex form and name of the Law of Supply and Demand. But once fairly stated in its simple form, it opens up the whole of the subject.
William Stanley Jevons