If we compare. e. g. the systems of classical mathematics and of intuitionistic mathematics, we find that the first is much simpler and technically more efficient, while the second is more safe from surprising occurences, e. g. contradictions. At the present time, any estimation of the degree of safety of the system of classical mathematics, in other words, the degree of plausibility of its principles, is rather subjective. The majority of mathematicians seem to regard this degree as sufficiently high for all practical purposes and therefore prefer the application of classical mathematics to that of intuitionistic mathematics. The latter has not, so far as I know, been seriously applied in physics by anybody.
Rudolf CarnapRelated topics
anybody application classical compare degree efficient estimation far find high latter majority mathematics physics plausibility practical present regard safe safety second simpler surprising system time while wordsRelated quotes
Let true Christians then, with becoming earnestness, strive in all things to recommend their profession, and to put to silence the vain scoffs of ignorant objectors. Let them boldly assert the cause of Christ in an age when so many, who bear the name of Christians, are ashamed of Him: and let them consider as devolved on Them the important duty of suspending for a while the fall of their country, and, perhaps, of performing a still more extensive service to society at large; not by busy interference in politics, in which it cannot but be confessed there is much uncertainty; but rather by that sure and radical benefit of restoring the influence of Religion, and of raising the standard of morality.
William Wilberforce
There are information asymmetries in this story. Health insurance is limping along. It's limited in scope, and then you other consequences. Insurance companies have high premiums to protect themselves. The ones who come to the insurance company are sicker and the people have to pay more. You have adverse selection. You have moral hazard. And the doctor does what's on the safe side -- defensive medicine -- without regard to cost. These are fundamental conditions that make health insurance difficult. You have some things that help. Some doctors understand that they shouldn't abuse the system. But you still see problems in the way doctors behave towards patients. They goof off. Sometimes it's too much work. Some things are difficult and risky to diagnose.
Kenneth Arrow
Do not let us imagine that discoveries in the world of the higher mathematics, of physics or biology are going to remove or even reduce our difficulties on the moral plane...The realm of morals is a world neither of quantity nor of chemical action. It is a world of values. It is precisely these values of right and wrong, of good and evil, of honesty and courage, which matter supremely for religion and national life...I am not despising science. I am only suggesting that moral values, eternal in their quality, transient in their form and application, are the foundation of a country's greatness. If moral values flourish in our common life all will be well with the nation.
Stanley Baldwin
I was able to compare the sexual equipment of the various men I made love with and there were amazing differences, in both length and massiveness. One handsome married man, who used to arrive with two Danishes from a very good bakery, had a penis about the size and shape of a lead pencil; he shall remain nameless. In my experience there was usually a relation to height, as Philip Rahv and Bill Mangold, both tall men, bore out. There may be dwarfish men with monstrously large organs, but I have never known one. It was not until later, after my second divorce, that I met an impotent man or a pervert (two of the latter)... None of my partners, the reader will be relieved to hear, had a venereal disease.
Mary McCarthy
Newton... (after having remarked that geometry only requires two of the mechanical actions which it postulates, namely, to describe a straight line and a circle) says: geometry is proud of being able to achieve so much while taking so little from extraneous sources. One might say of metaphysics, on the other hand: it stands astonished, that with so much offered it by pure mathematics it can effect so little. In the meantime, this little is something which mathematics indispensably requires in its application to natural science, which, inasmuch as it must here necessarily borrow from metaphysics, need not be ashamed to allow itself to be seen in company with the latter.
Immanuel Kant
