Number rules the universe.



    Reason is immortal, all else mortal.




    The highest form of pure thought is in mathematics”.





    Nature’s great book is written in mathematical symbol.



    Mathematics is the Queen of the Sciences,and Arithmetic the Queen of Mathematics.


                              ——高斯 Gauss



    Wir müssen wissen, wir werden wissen.

    We must know, we will know.





    Pure mathematics is,in its way,the poetry of logical ideas.



    The science of mathematics presents the most brilliant example of how pure reason may successfully enlarge its domain without the aid of experience.



    Histories make men wise; poets, witty; the mathematics, subtle; natural philosophy, deep; moral, grave; logic and rhetoric, able to contend.


              ——培根(Francis Bacon)


    Mathematics, rightly viewed, possesses not only truth, but supreme beauty, a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as in poetry.
——罗素(Bertrand Russel)


 I believe in intuition and inspiration. Imagination is more important than knowledge. For knowledge is limited, whereas imagination embraces the entire world, stimulating progress, giving birth to evolution.



Logic will get you from A to B. Imagination will take you everywhere.


    Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. "Immortality" may be a silly word, but probably a mathematician has the best chance of whatever it may mean.





    If intellectual curiosity , professional pride , and ambition are the dominant incentives to research , then assuredly no one has a fairer chance of gratifying them than a mathematician. His subject is the most curious of all --- there is none in which truth plays such odd pranks. It has the most elaborate and the most fascinating technique, and gives unrivalled openings for the display of sheer professional skill. Finally , as history proves abundantly , mathematical achievement, whatever its intrinsic worth , is the most enduring of all.



                                  数学大师原稿译注 ·  黎曼原稿 [1]