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To Infinity and Beyond - A Cultural History of the Infinite (Paperback, Softcover reprint of the original 1st ed. 1987)
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To Infinity and Beyond - A Cultural History of the Infinite (Paperback, Softcover reprint of the original 1st ed. 1987)
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The infinite! No other question has ever moved so profoundly the
spirit of man; no other idea has so fruitfully stimulated his
intellect; yet no other concept stands in greater need of
clarification than that of the infinite. . . - David Hilbert
(1862-1943) Infinity is a fathomless gulf, There is a story
attributed to David Hilbert, the preeminent mathe into which all
things matician whose quotation appears above. A man walked into a
vanish. hotel late one night and asked for a room. "Sorry, we don't
have o Marcus Aurelius (121- 180), Roman Emperor any more
vacancies," replied the owner, "but let's see, perhaps and
philosopher I can find you a room after alL" Leaving his desk, the
owner reluctantly awakened his guests and asked them to change
their rooms: the occupant of room #1 would move to room #2, the
occupant of room #2 would move to room #3, and so on until each
occupant had moved one room over. To the utter astonish ment of our
latecomer, room #1 suddenly became vacated, and he happily moved in
and settled down for the night. But a numbing thought kept him from
sleep: How could it be that by merely moving the occupants from one
room to another, the first room had become vacated? (Remember, all
of the rooms were occupied when he arrived.
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