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“We are participators in bringing into being not only the near and here but the far away and long ago. We are in this sense, participators in bringing about something of the universe in the distant past”
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“Important though the general concepts and propositions may be with which the modern industrious passion for axiomatizing and generalizing has presented us, in algebra perhaps more than anywhere else, nevertheless I am convinced that the special problems in all their complexity constitute the stock and core of mathematics; and to master their difficulties requires on the whole the harder labor.”
― The Classical Groups: Their Invariants and Representations
― The Classical Groups: Their Invariants and Representations
“On one of the evenings, we all gathered at the mansion at Carlsberg in surroundings which for all those present were intimately linked with so many rich memories. After the Bohr family had moved into this house in 1932, it began to play an important part in the life of the Institute. Several times a year the whole staff came to the big Christmas tree. But mainly we thought of the hours when, undisturbed by the normal bustle at the Institute, we had sat in private with Niels Bohr and discussed problems either of physics or of a more general character.
It was from this every-day contact that one acquired so much pleasure and instruction. But there were also the festive occasions, either within a small circle or in company with interesting foreign guests. After the meal, we used to settle down in a corner of the large drawing-room and there Bohr might lead the conversation onto those unexpected topics which were just then on his mind, often inspired by the books he had read, or a personality he had met and from whom he had learned something new. Sometimes Bohr disappeared for a time into his study with one of the guests to exchange ideas and to explain his views more clearly in seclusion.
It was not only physicists who were invited to this hospitable. The mansion had through the years become an important centre in the cultural life of the country, not least by reason of Bohr's contacts abroad. There were authors, both Danish and foreign; they all enjoyed hospitality in this home create by Margrethe and Niels Bohr together, a home which was permeated by their own personalities. One could not avoid being stimulated by the inspiring surroundings and the vital atmosphere of the Bohr home, where serious discussion harmonized with artistic experience, with music or reading aloud, and also with games and jokes.”
― Niels Bohr. Hans liv og virke fortalt af en kreds af venner og medarbejdere.
It was from this every-day contact that one acquired so much pleasure and instruction. But there were also the festive occasions, either within a small circle or in company with interesting foreign guests. After the meal, we used to settle down in a corner of the large drawing-room and there Bohr might lead the conversation onto those unexpected topics which were just then on his mind, often inspired by the books he had read, or a personality he had met and from whom he had learned something new. Sometimes Bohr disappeared for a time into his study with one of the guests to exchange ideas and to explain his views more clearly in seclusion.
It was not only physicists who were invited to this hospitable. The mansion had through the years become an important centre in the cultural life of the country, not least by reason of Bohr's contacts abroad. There were authors, both Danish and foreign; they all enjoyed hospitality in this home create by Margrethe and Niels Bohr together, a home which was permeated by their own personalities. One could not avoid being stimulated by the inspiring surroundings and the vital atmosphere of the Bohr home, where serious discussion harmonized with artistic experience, with music or reading aloud, and also with games and jokes.”
― Niels Bohr. Hans liv og virke fortalt af en kreds af venner og medarbejdere.
“The drive toward the formation of metaphors is the fundamental human drive, which one cannot for a single instant dispense with in thought, for one would thereby dispense with man himself. This drive is not truly vanquished and scarcely subdued by the fact that a regular and rigid new world is constructed as its prison from its own ephemeral products, the concepts. It seeks a new realm and another channel for its activity, and it finds this in myth and in art generally. This drive continually confuses the conceptual categories and cells by bringing forward new transferences, metaphors, and metonymies. It continually manifests an ardent desire to refashion the world which presents itself to waking man, so that it will be as colorful, irregular, lacking in results and coherence, charming, and eternally new as the world of dreams. Indeed, it is only by means of the rigid and regular web of concepts that the waking man clearly sees that he is awake; and it is precisely because of this that he sometimes thinks that he must be dreaming when this web of concepts is torn by art.”
― On Truth and Lies in a Nonmoral Sense
― On Truth and Lies in a Nonmoral Sense
“The introduction of numbers as coordinates by reference to the particular division scheme of the open one dimensional continuum is an act of violence whose only practical vindication is the special calculatory manageability of the ordinary number continuum with its four basic operations.”
― Philosophy of Mathematics and Natural Science
― Philosophy of Mathematics and Natural Science
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