![They [mathematicians] only take those things into consideration, of which they have clear and distinct ideas, designating them by proper, adequate, and invariable names, and premising only a few axioms which are most noted and certain to investigate their affections and draw conclusions from them, and agreeably laying down a very few hypotheses, such as are in the highest degree consonant with reason and not to be denied by anyone in his right mind. In like manner they assign generations or causes easy to be understood and readily admitted by all, they preserve a most accurate order, every proposition immediately following from what is supposed and proved before, and reject all things howsoever specious and probable which can not be inferred and deduced after the same manner.-Barrow, Isaac. (Isaac Barrow)](https://cdn.quotesdtb.com/img/quotes_images_webp/00/isaac-barrow-anyone-assign-269700.webp)
They [mathematicians] only take those things into consideration, of which they have clear and distinct ideas, designating them by proper, adequate, and invariable names, and premising only a few axioms which are most noted and certain to investigate their affections and draw conclusions from them, and agreeably laying down a very few hypotheses, such as are in the highest degree consonant with reason and not to be denied by anyone in his right mind. In like manner they assign generations or causes easy to be understood and readily admitted by all, they preserve a most accurate order, every proposition immediately following from what is supposed and proved before, and reject all things howsoever specious and probable which can not be inferred and deduced after the same manner.-Barrow, Isaac.
Isaac BarrowRelated topics
anyone assign barrow certain clear consideration consonant degree draw easy few following hypothesis invariable laying manner mind order preserve probable proper proposition reason reject right take things names isaacRelated quotes
I intended to have set out for camp to-morrow, but I believe I shall not be ready until Monday in the forenoon. I have desired Congress to give me leave to resign, as I apprehended a loss of reputation, if I continued in the business. They are not disposed to grant my request at all. But unless they change their system, or publish their approbation upon the present, I shall not remain long in the business. I will not sacrifice my reputation for any consideration whatever. I am willing to serve the public; but I think I have a right to choose that way of performing the service which will be most honorable to myself. I should be willing to serve in the department I am in for a proper consideration, if I could serve without the loss of reputation; but not without.
Nathanael Greene
We investigate how the degree to which credit markets are centralized affects efficiency when there is asymmetric information. Specifically, we argue that decentralization of credit may promote efficient project selection when creditors are not fully informed ex ante about project quality.
Our starting point is the idea that, although an entrepreneur (project manager) may have a relatively good idea of her project's quality from the outset, creditors acquire this information only later on, by which time the criteria for profitability may have changed. Thus, a poor project (one whose completion time is too long to be profitable ex ante) may nevertheless be financed, since a creditor cannot distinguish it at the time from a good (quick) project.
Eric Maskin
This spectrum is of the type known in spectroscopy as a line-spectrum. Its appearance is that of a group of bright lines on a dark background, indicating that the radiation divides itself between a number of clearly defined frequencies, and that there is no radiation in between. Before Bohr's explanation appeared, these frequencies had been supposed to belong to some sort of vibration taking place in the hydrogen atom - like frequencies of the musical note which is heard when a bell or piano wire is made to vibrate. It now became clear that they had an entirely different origin. The energy exhibited in the spectrum was not liberated by a vibration, or any kind of continuous motion, but by the sudden jump of an electron to an orbit of lower energy, and its frequency was determined by the compulsion put upon it to form a single quantum.
James Jeans
The systems view of nature and man is clearly non- anthropocentric, but it is not non-humanistic for all that. It allows us to understand that man is one species of system in a complex and embracing hierarchy of nature, and at the same time it tells us that all systems have value and intrinsic worth. They are goal-oriented, self-maintaining, and self-creating expressions of nature's penchant for order and adjustment. The status of man is not lessened by admitting the amoeba as his kin, nor by recognizing that sociocultural systems are his supersystems. Seeing himself as a connecting link in a complex natural hierarchy cancels man's anthropocentrism, but seeing the hierarchy itself as an expression of self-ordering and self-creating nature bolsters his self-esteem and encourages his humanism.
Ervin László
For what advantage is it, that the world enjoys profound peace, if thou art at war with thyself? This then is the peace we should keep. If we have it, nothing from without will be able to harm us. And to this end the public peace contributes no little: whence it is said, ‘That we may lead a quiet and peaceable life.' But if any one is disturbed when there is quiet, he is a miserable creature. Seest thou that He speaks of this peace which I call the third (inner, ed.) kind? Therefore when he has said, ‘that we may lead a quiet and peaceable life,' he does not stop there, but adds ‘in all godliness and honesty.' But we cannot live in godliness and honesty, unless that peace be established. For when curious reasonings disturb our faith, what peace is there? or when spirits of uncleanness, what peace is there?
John Chrysostom
