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No one shall expel us from th...

No one shall expel us from the paradise which Cantor has created for us.
Expressing the importance of Cantor's set theory in the development of mathematics.

David Gilbert 53 quotes

Galileo was no idiot. Only an ...

Galileo was no idiot. Only an idiot could believe that science requires martyrdom - that may be necessary in religion, but in time a scientific result will establish itself.

David Gilbert 53 quotes

If one were to bring ten of th...

If one were to bring ten of the wisest men in the world together and ask them what was the most stupid thing in existence, they would not be able to discover anything so stupid as astrology.

David Gilbert 53 quotes

How thoroughly it is ingrained...

How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler methods which, at the same time, assist in understanding earlier theories and in casting aside some more complicated developments.

David Gilbert 53 quotes

The further a mathematical the...

The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.

David Gilbert 53 quotes

Mathematical science is in my ...

Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.

David Gilbert 53 quotes

In mathematics ... we find two...

In mathematics ... we find two tendencies present. On the one hand, the tendency towards abstraction seeks to crystallise the logical relations inherent in the maze of materials ... being studied, and to correlate the material in a systematic and orderly manner. On the other hand, the tendency towards intuitive understanding fosters a more immediate grasp of the objects one studies, a live rapport with them, so to speak, which stresses the concrete meaning of their relations.

David Gilbert 53 quotes

However unapproachable these p...

However unapproachable these problems may seem to us and however helpless we stand before them, we have, nevertheless, the firm conviction that their solution must follow by a finite number of purely logical processes.

David Gilbert 53 quotes

Who of us would not be glad to...

Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a glance at the next advances of
our science and at the secrets of its development during future centuries? What particular goals will there be toward
which the leading mathematical spirits of coming generations will strive? What new methods and new facts in the
wide and rich field of mathematical thought will the new centuries disclose?

David Gilbert 53 quotes

I do not want to presuppose an...

I do not want to presuppose anything as known. I see in my explanation in section 1 the definition of the concepts point, straight line and plane, if one adds to these all the axioms of groups i-v as characteristics. If one is looking for other definitions of point, perhaps by means of paraphrase in terms of extensionless, etc., then, of course, I would most decidedly have to oppose such an enterprise. One is then looking for something that can never be found, for there is nothing there, and everything gets lost, becom

David Gilbert 53 quotes

Every mathematical discipline ...

Every mathematical discipline goes through three periods of development: the naive, the formal, and the critical.

David Gilbert 53 quotes

Sometimes it happens that a ma...

Sometimes it happens that a man's circle of horizon becomes smaller and smaller, and as the radius approaches zero it concentrates on one point. And then that becomes his point of view.

David Gilbert 53 quotes

If one were to bring ten of th...

If one were to bring ten of the wisest men in the world together and ask them what was the most stupid thing in existence, they would not be able to discover anything so stupid as astrology.

David Gilbert 53 quotes

No one shall expel us from the...

No one shall expel us from the paradise which Cantor has created for us.
Expressing the importance of Cantor's set theory in the development of mathematics.

David Gilbert 53 quotes

Wir mussen wissen. Wir werden ...

Wir mussen wissen. Wir werden wissen. We must know. We will know. Inscribed on his tomb in Gilttingen.

David Gilbert 53 quotes

Mathematical science is in my ...

Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.

David Gilbert 53 quotes

How thoroughly it is ingrained...

How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler methods which, at the same time, assist in understanding earlier theories and in casting aside some more complicated developments.

David Gilbert 53 quotes

He who seeks for methods witho...

He who seeks for methods without having a definite problem in mind seeks in the most part in vain.

David Gilbert 53 quotes

If I were to awaken after havi...

If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proven?

David Gilbert 53 quotes

A mathematical theory is not t...

A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street.

David Gilbert 53 quotes

Добрые, щедрые, великодушные: 6 советских актеров, которые были всеобщими любимчиками

23

Советских актёров часто ставят в пример как образец духовной силы, национальной гордости и внутренней красоты. Они стали символами эпохи, носителями культуры и нравственности. Но, как известно, за кул...

Десять кинозвезд, которые отлично поют

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Актеры — люди творческие, но кто бы мог подумать, что некоторые из них скрывают прекрасный голос. В эпоху раннего Голливуда актеров с музыкальными способностями было немало — это считалось скорее норм...

Мэрилин Монро, Ким Кардашьян и другие

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Неузнаваемая Ким Кардашьян в объективе фотографа Маркуса Клинко, 2009 год. Памела Андерсон в самой первой съёмке для журнала «Playboy», 1990. На фото голливудская актриса Dorothy Lamour и шимпанзе Джи...

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Расскажем, как сложилась судьба актеров, которые начинали сниматься еще в детстве.
Остаться на вершине в Голливуде удаётся не каждому, особенно если путь начался в детстве. Одни актёры теряются из-за...

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Два года назад отечественное телевидение столкнулось с беспрецедентной кадровой тектоникой — целая группа ярких и узнаваемых ведущих стремительно исчезла с экранов федеральных каналов. Эти лица долгие...

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Кира Найтли на страницах журнала к выходу фильма «Пиджак», 2005. Следы динозавра, раскопанные в русле реки Палакси. Техас. США. 1952г. Самая большая женщина рядом с самым маленьким мужчиной, 1922 год....