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.
Carl Friedrich GaussRelated topics
ancient arithmetic composite dignity distinguishing extent industry known latter length modern numbers possible prime problem resolving science solution wisdom meansRelated quotes
Theresa May should not be rolling out the red carpet for a state visit to honour a president who rips up vital international treaties, backs climate change denial and uses racist and misogynist rhetoric. Maintaining an important relationship with the United States does not require the pomp and ceremony of a state visit. It is disappointing that the prime minister has again opted to kowtow to this US administration. I would welcome a meeting with President Trump to discuss all matters of interest.
Jeremy Corbyn
The scientific enterprise as a whole does from time to time prove useful, open up new territory, display order, and test long-accepted belief. Nevertheless, the individual engaged on a normal research problem is almost never doing any one of these things. Once engaged, his motivation is of a rather different sort. What then challenges him is the conviction that, if only he is skillful enough, he will succeed in solving a puzzle that no one before has solved or solved so well.
Thomas Samuel Kuhn
Then there is the further question of what is the relationship of thinking to reality. As careful attention shows, thought itself is in an actual process of movement. That is to say, one can feel a sense of flow in the stream of consciousness not dissimilar to the sense of flow in the movement of matter in general. May not thought itself thus be a part of reality as a whole? But then, what could it mean for one part of reality to 'know' another, and to what extent would this be possible?
David Bohm
Students using astrophysical textbooks remain essentially ignorant of even the existence of plasma concepts, despite the fact that some of them have been known for half a century. The conclusion is that astrophysics is too important to be left in the hands of astrophysicists who have gotten their main knowledge from these textbooks. Earthbound and space telescope data must be treated by scientists who are familiar with laboratory and magnetospheric physics and circuit theory, and of course with modern plasma theory.
Hannes Alfvén
According to our social science, we can be or become wise in all matters of secondary importance, but we have to be resigned to utter ignorance in the most important respect: we cannot have any knowledge regarding the ultimate principles of our choices, i. e. regarding their soundness or unsoundness... We are then in the position of beings who are sane and sober when engaged in trivial business and who gamble like madmen when confronted with serious issues.
Leo Strauss
