The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic. It has engaged the industry and wisdom of ancient and modern geometers to such an extent that it would be superfluous to discuss the problem at length. ...Further, the dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated.
Problema, numeros primos a compositis dignoscendi, hosque in factores suos primos resolvendi, ad gravissima ac utilissima totius arithmeticae pertinere, et geometrarum tum veterum tum recentiorum industriam ac sagacitatem occupavisse, tam notum est, ut de hac re copiose loqui superfluum foret. ... [P]raetereaque scientiae dignitas requirere videtur, ut omnia subsidia ad solutionem problematis tam elegantis ac celebris sedulo excolantur.
Now, as discord is allowable, and even necessarily opposed to concord, why may not noise, or a seeming jargon, be opposed to fixed sounds and harmonical proportion? Some of the discords in modern music, unknown till this century, are what the ear can but just bear, but have a very good effect as to contrast. The severe laws of preparing and resolving discord, may be too much adhered to for great effect; I am convinced that provided the ear be at length made amends, there are few dissonances too strong for it.charles burney
If there is to be a competition, there must be some basis for resolving it. It is also clear that the competition should be experienced based.john henry holland
The purpose of formulating [a] conflict as a game is not that of resolving the conflict by 'solving the game.' It is that of displaying the structure of the conflict and thereby exposing features of it that may be concealed by rhetoric. In particular, appreciation of the peculiar structure of some of the so-called mixed—motive conflicts represented nonzero-sum games may change the conflicting parties' perception of their situation.Anatol Rapoport
If by this superhuman concentration one succeeded in converting or resolving the two cosmoses with all their complexities into sheer ideas, he would then reach the causal world and stand on the borderline of fusion between mind and matter. There one perceives all created things — solids, liquids, gases, electricity, energy, all beings, gods, men, animals, plants, bacteria — as forms of consciousness, just as a man can close his eyes and realize that he exists, even though his body is invisible to his physical eyes and is present only as an idea.paramahansa yogananda
I would like to suggest that we should perhaps change direction in our efforts to bring about world peace. Up to now all the effort has been put into resolving speci?c con?icts: India–Pakistan, North–South Ireland, various African wars, Balkan wars, Russia–Chechnya, Israel–Arab, etc., etc. I’d like to suggest that we should shift emphasis and study war in general.robert aumann
This essay treats the most celebrated story in the extreme simplification in an adult parasite - in the interests of illuminating, reconciling, and, perhaps, even resolving two major biases that have so hindered our understanding of natural history: the misequation of evolution with progress, and the undervaluing of an organism by considering only its adult form and not the entire life cycle.stephen jay gould
The most widely discussed formulation of [the One World model] was the "end of history" thesis advanced by Francis Fukuyama. "We may be witnessing, Fukuyama argued, "…:;the end of history as such: that is, the end point of mankind's ideological evolution and the universalization of Western liberal democracy as the final form of human government.":;… The future will be devoted not to great exhilarating struggles over ideas but rather to resolving mundane economic and technical problems. And, he concluded rather sadly, it will all be rather boring. (P. 31)samuel p. huntington
...“progress”, in poetry at least, comes not so much from digesting the last age as from rejecting it altogether (or, rather, from eating a little and leaving a lot), and...the world’s dialectic is a sort of neo-Hegelian one in which one progresses not by resolving contradictions but by ignoring them.Randall Jarrell
The more areas in which we (Taiwan and Mainland China) agree, the greater the chances of resolving our differences.
An unhappy gentleman, resolving to wed nothing short of perfection, keeps his heart and hand till both get so old and withered that no tolerable woman will accept them.Nathaniel Hawthorne
The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic. It has engaged the industry and wisdom of ancient and modern geometers to such an extent that it would be superfluous to discuss the problem at length. ... Further, the dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated.
But to everything in this world there comes an end; there even comes an end to the torments suffered in those intermediate states of transition when the last secret tear of one's soul is bitterly swallowed, and the crisis passes, resolving itself into some new sort of phase, which even as it comes into existence is fated in turn to pass away, to disappear in the eternal changing of the times and seasons.nikolai bukharin
We still have a great amount of work to do in social development, including resolving one of the biggest challenges we face in this area, namely, reducing the gap between high-income earners and people, citizens of our country, who are still living on very modest means indeed. But we cannot, of course, adopt the solution used 80 years ago and simply confiscate the riches of some to redistribute among others. We will use completely different means to resolve this problem, namely, we will ensure good economic growth.vladimir putin