...nor have I found occasion to depart from the plan... the rejection of the whole doctrine of series in the establishment of the fundamental parts both of the Differential and Integral Calculus. The method of Lagrange... had taken deep root in elementary works; it was the sacrifice of the clear and indubitable principle of limits to a phantom, the idea that an algebra without limits was purer than one in which that notion was introduced. But, independently of the idea of limits being absolutely necessary even to the proper conception of a convergent series, it must have been obvious enough to Lagrange himself, that all application of the science to concrete magnitude, even in his own system, required the theory of limits.
Augustus De MorganRelated topics
algebra calculus clear conception concrete convergent deep differential doctrine elementary enough establishment found fundamental idea indubitable integral magnitude necessary nor occasion phantom plan proper root science series take works partsRelated quotes
So it was better to think of formulations which could explain the creation of matter without violating the law of conservation of matter...For that we used what is called as negative energy, which at that time was considered unrealistic. There was a good example of negative energy, mainly Newtonian gravity. Newtonian gravity is a negative energy system because gravitational potential energy is negative and we i.e, Fred Hoyle and me, worked out a fairly consistent method of describing this whole thing. Today what people call phantom fields, an idea which is catching up with people trying to explain some problems of the big-bang, these phantom fields are what we had proposed way back in the 1960's.
Jayant Narlikar
These distinctions make sense only when AR [absolute perfection in some respects, relative perfection in all others] is assumed (hence Spinoza's failure, who assumed mere A). Just as AR is the whole positive content of perfection, so CW, or the conception of the Creator-and-the-Whole-of-what-he-has-created as constituting one life, the super-whole which in its everlasting essence is uncreated (and does not necessitate just the parts which the whole has) but in its de facto concreteness is created - this panentheistic doctrine contains all of deism and pandeism except their arbitrary negations. Thus ARCW, or absolute-relative panentheism, is the one doctrine that really states the whole of what all theists, if not all atheists as/well, are implicitly talking about.
Baruch Spinoza
Yet the world has never thoroughly learned this lesson It has never been willing entirely to acknowledge this principle. One of the greatest needs of the present day is the establishment and recognition of standards, and holding ourselves up to their proper observance. This cannot be done without constant effort and it will meet constant opposition. Always there have been those who fail to recognize this necessity. Their opposition to it and their philosophy of life were well expressed by Robert Burns in that poem which describes the carousings of a collection of vagabonds, where one of them gave his views: 'A fig for those by law protected! Liberty's a glorious feast! Courts for cowards were erected, Churches built to please the priest'.
Calvin Coolidge
I'm aware of the made up declarations about me that have recently begun to appear on the Internet and in emails as "Chuck Norris facts." I've seen some of them. Some are funny. Some are pretty far out. Being more a student of the Wild West than the wild world of the Internet, I'm not quite sure what to make of it. It's quite surprising. I do know that boys will be boys, and I neither take offense nor take these things too seriously. Who knows, maybe these made up one-liners will prompt young people to seek out the real facts as found in my recent autobiographical book, "Against All Odds?" They may even be interested enough to check out my novels set in the Old West, "The Justice Riders," released this month. I'm very proud of these literary efforts.
Chuck Norris
The minimum principle that unified the knowledge of light, gravitation, and electricity of Hamilton's time no longer suffices to relate these fundamental branches of physics. Within fifty years of its creation, the belief that Hamilton's principle would outlive all other physical laws of physics was shattered. Minimum principles have since been created for separate branches of physics... but these are not only restricted... but seem to be contrived...
A single minimum principle, a universal law governing all processes in nature, is still the direction in which the search for simplicity is headed, with the price of simplicity now raised from a mastery of differential equations to a mastery of the calculus of variations.
Morris Kline