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Mark Kac cytaty

Mark Kac – polski i amerykański matematyk żydowskiego pochodzenia,

pracujący głównie w Stanach Zjednoczonych. Przedstawiciel lwowskiej szkoły matematycznej.

Z powodu wybuchu I wojny światowej jego rodzina przeniosła się do Rosji, skąd powróciła do Krzemieńca w 1921 roku. W 1925 r. rozpoczął naukę w Liceum Krzemienieckim, wykazując duże zainteresowanie geometrią.

Podjął studia pod kierunkiem Hugona Steinhausa na Uniwersytecie Jana Kazimierza we Lwowie, gdzie w 1937 r. doktoryzował się. W roku akademickim 1935/1936 pracował jako zastępca asystenta w Zakładzie matematycznym B Instytutu Matematycznego, Wydziału Matematyczno-Przyrodniczego UJK. W 1938 wyemigrował do Stanów Zjednoczonych i przyjął obywatelstwo amerykańskie w 1943 roku. Jego rodzice pozostali w Polsce i zginęli w masowych egzekucjach w Krzemieńcu .

W latach 1939-1961 był profesorem Cornell University, następnie przeniósł się na Uniwersytet Rockefellera. Na początku lat 80. XX wieku rozpoczął pracę na Uniwersytecie Południowej Kalifornii , gdzie pracował do końca życia. Był członkiem Amerykańskiej Akademii Umiejętności w Bostonie i National Academy of Sciences w Waszyngtonie.

Jego prace dotyczyły głównie teorii prawdopodobieństwa, ale zajmował się także innymi dyscyplinami przyrodniczymi, głównie fizyką i techniką.

Napisał autobiografię Zagadki losu, przełożoną na polski przez Henryka i Katarzynę Lipszyców. Wikipedia  

✵ 3. Sierpień 1914 – 26. Październik 1984
Mark Kac Fotografia
Mark Kac: 17   Cytatów 0   Polubień

Mark Kac: Cytaty po angielsku

“I then reached for a time honored tactic used by mathematicians: if you can't solve the real problem, change it into one you can solve.”

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Mark Kac

Źródło: Enigmas Of Chance (1985), Chapter 6, Cornell II, p. 122.

“There are two kinds of geniuses: the ‘ordinary’ and the ‘magicians.’ an ordinary genius is a fellow whom you and I would be just as good as, if we were only many times better. There is no mystery as to how his mind works. Once we understand what they’ve done, we feel certain that we, too, could have done it. It is different with the magicians… Feynman is a magician of the highest caliber.”

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Mark Kac

Mark Kac about Richard Feynman, cited in: Scott D. Tremaine (2011) " John norris Bahcall. 1934–2005. A Biographical Memoir http://www.nasonline.org/publications/biographical-memoirs/memoir-pdfs/bahcall-john-n.pdf".

“In the summer of 1930 my academic future, however, was not uppermost in my mind. I had been stricken by an acute attack of a disease which at regular intervals afflicts all mathematicians and, for that matter, all scientists: I became obsessed by a problem.”

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Mark Kac

Prologue, How I Became a Mathematician, p. 1.
Enigmas Of Chance (1985)

“There was hardly a page in Markov's book which did not feature the normal law and it cast a spell over me from which I have never fully recovered. Adding to the fascination was the impression that somehow the normal law was the key to mysterious and elusive world of chance phenomena.”

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Mark Kac

Źródło: Enigmas Of Chance (1985), Chapter 3, The Search For The Meaning Of Independence, p. 55.

“I prefer concrete things and I don't like to learn more about abstract stuff than I absolutely have to.”

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Mark Kac

Źródło: Enigmas Of Chance (1985), Chapter 5, Cornell, p. 112

“I had a phenomenal memory and could recite long poems by Russian poets, mainly Pushkin. Except for an unusual memory, I was not precocious in any respect and somewhat later, to the chagrin of my father, I was inordinately slow learning the multiplication tables.”

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Mark Kac

Źródło: Enigmas Of Chance (1985), Chapter 1, The Beginning, p. 11.

“When one is young, and seventeen is very young, one lives in the present. The future, even the near future, is cloaked in unreality.”

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Mark Kac

Źródło: Enigmas Of Chance (1985), Chapter 2, Lwów, p. 29.

“Actually, my solution generated considerable further work and the "dog-flea" model keeps cropping up from time to time in unexpected contexts.”

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Mark Kac

Źródło: Enigmas Of Chance (1985), Chapter 6, Cornell II, p. 121.

“Mathematics is an ancient discipline. For as long as we can reliably reach into the past, we find its development intimately connected with the development of the whole of our civilization. For as long as we have a record of man's curiosity and his quest for understanding, we find mathematics cultivated and cherished, practiced and taught. Throughout the ages it has stood as an ultimate in rational thought and as a monument to man's desire to probe the workings of his own mind.”

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Mark Kac

Postscript, p. 150.
Enigmas Of Chance (1985)

“Unrestricted abstraction tends to divert attention from whole areas of application whose very discovery depends of the features that the abstract point of view rules out as being accidental.”

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Mark Kac

Richard Hamming, Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985).

“I didn't even try to penetrate the comics, though many years later I came, somewhat grudgingly, to admire Pogo.”

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Mark Kac

Źródło: Enigmas Of Chance (1985), Chapter 5, Cornell, p. 96.

“Creative people live in two worlds. One is the ordinary world which they share with others and in which they are not in any special way set apart from their fellow men. The other is private and it is in this world that the creative acts take place.”

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Mark Kac

Introduction, p. xv.
Enigmas Of Chance (1985)

“As a mathematician Erdös is what in other fields is called a "natural". If a problem can be stated in terms he can understand, though it may belong to a field with which he is not familiar, he is as likely as, or even more likely than, the experts to find a solution.”

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Mark Kac

Źródło: Enigmas Of Chance (1985), Chapter 4, On Toast!, p. 93.

“There are, roughly speaking, two kinds of mathematical creativity. One, akin to conquering a mountain peak, consists of solving a problem which has remained unsolved for a long time and has commanded the attention of many mathematicians. The other is exploring new territory.”

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Mark Kac

Źródło: Enigmas Of Chance (1985), Chapter 2, Lwów, p. 39.

“As an introduction to America, my ten months in Baltimore were superb. I find it difficult to find words to convey the feeling of decompression, of freedom, of being caught in a sweep of unimagined and unimaginable grandeur. It was a life on a different scale with more of everything - more air to breathe, more things to see, more people to know.”

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Mark Kac

Źródło: Enigmas Of Chance (1985), Chapter 4, On Toast!, p. 85.

“Where there is independence there must be the normal law.”

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Mark Kac

Źródło: Enigmas Of Chance (1985), Chapter 4, On Toast!, p. 90.

“Independence is the central concept of probability theory and few would believe today that understanding what it meant was ever a problem.”

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Mark Kac

Źródło: Enigmas Of Chance (1985), Chapter 3, The Search For The Meaning Of Independence, p. 48.

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