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Chapters: Gregory Chaitin, Eduardo D. Sontag, Luis Huergo, Luis Caffarelli, Alberto Calderon, Beppo Levi, Luis Santalo, Manuel Sadosky, Guillermo Martinez, Pedro E. Zadunaisky. Source: Wikipedia. Pages: 38. Not illustrated. Free updates online.MoreChapters: Gregory Chaitin, Eduardo D. Sontag, Luis Huergo, Luis Caffarelli, Alberto Calderon, Beppo Levi, Luis Santalo, Manuel Sadosky, Guillermo Martinez, Pedro E. Zadunaisky. Source: Wikipedia. Pages: 38. Not illustrated. Free updates online. Purchase includes a free trial membership in the publishers book club where you can select from more than a million books without charge. Excerpt: Gregory John Chaitin (born 1947) is an Argentine-American mathematician and computer scientist. Beginning in the late 1960s, Chaitin made contributions to algorithmic information theory and metamathematics, in particular a new incompleteness theorem in reaction to Godels incompleteness theorem. He attended the Bronx High School of Science and City College of New York, where he (still in his teens) developed the theories that led to his independent discovery of Kolmogorov complexity. Chaitin has defined Chaitins constant, a real number whose digits are equidistributed and which is sometimes informally described as an expression of the probability that a random program will halt. has the mathematical property that it is definable but not computable. Chaitins early work on algorithmic information theory paralleled the earlier work of Kolmogorov. Chaitin also writes about philosophy, especially metaphysics and philosophy of mathematics (particularly about epistemological matters in mathematics). In metaphysics, Chaitin claims that algorithmic information theory is the key to solving problems in the field of biology (obtaining a formal definition of life, its origin and evolution) and neuroscience (the problem of consciousness and the study of the mind). Indeed, in recent writings, he defends a position known as digital philosophy. In the epistemology of mathematics, he claims that his findings in mathematical logic and algorithmic information theory show there are mathematical facts that are true for no reason, theyre true by accident. The...More: http: //booksllc.net/?id=12308 Argentine Mathematicians: Gregory Chaitin, Eduardo D. Sontag, Luis Huergo, Luis Caffarelli, Alberto Calder n, Beppo Levi, Luis Santal by Books LLC