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-{{other people}}
+== integrity Buy Longchamp Online ==
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-'''Edward Nelson''' (born May 4, 1932, in [[Decatur, Georgia]]) is a professor in the Mathematics Department at [[Princeton University]].    He is known for his work on [[mathematical physics]] and [[mathematical logic]].  In mathematical logic, he is noted especially for his [[internal set theory]], and his controversial views on [[ultrafinitism]] and the [[consistency]] of [[Peano arithmetic|arithmetic]]. He has also written on the relationship between religion and mathematics.
-==Career==
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-Nelson received his Ph.D. in 1955 from the [[University of Chicago]], where he worked with [[Irving Segal]]. He was a member of the [[Institute for Advanced Study]] from 1956–1959.  He has held a position at [[Princeton University]] from 1959 to the present, attaining the rank of professor there in 1964.
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-==Early work==
+   <li>[http://jcf999.com/news/html/?201706.html http://jcf999.com/news/html/?201706.html]</li>
-Nelson has made contributions to the theory of infinite dimensional [[group representation]]s, the mathematical treatment of [[quantum field theory]], the use of [[stochastic process]]es in [[quantum mechanics]], and the reformulation of [[probability theory]] in terms of [[non-standard analysis]].
+   <li>[http://bbs.shenghuoqu.com.cn/forum.php?mod=viewthread&tid=1297377 http://bbs.shenghuoqu.com.cn/forum.php?mod=viewthread&tid=1297377]</li>
-For many years he worked on [[mathematical physics]] and probability theory, and still has a residual interest in these fields, particularly in possible extensions of stochastic mechanics to [[field theory (physics)|field theory]].
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-In 1950, Nelson formulated a popular variant of the [[four color problem]]. What is the chromatic number, denoted <math>\chi</math>, of the plane? In more detail, what is the smallest number of colors sufficient for coloring the points of the Euclidean plane in such a way that no two points of the same color are unit distance apart?<ref>p.23, Soifer, Alexander (2008); The Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of its Creators; New York: Springer. ISBN 978-0-387-74640-1</ref> We know by simple arguments that 4&nbsp;≤&nbsp;''&chi;''&nbsp;≤&nbsp;7. The problem was introduced to a wide mathematical audience by [[Martin Gardner]] in his October 1960 [[Mathematical Games]] column. The chromatic number problem, also now known as the [[Hadwiger–Nelson problem]], was also a favorite of [[Paul Erdős]], who mentioned it frequently in his problems lectures.
+   <li>[http://bbs.52u9.com/forum.php?mod=viewthread&tid=3293 http://bbs.52u9.com/forum.php?mod=viewthread&tid=3293]</li>
-==Work on foundations==
+ </ul>
-In recent years he has been working on mathematical logic and the foundations of mathematics. One of his goals is to extend IST ([[Internal Set Theory]]—a version of a portion of [[Abraham Robinson]]'s [[non-standard analysis]]) in a natural way to include external functions and sets, in a way that provides an external function with specified properties unless there is a finitary obstacle to its existence. Other work centers on fragments of arithmetic, studying the divide between those theories interpretable in [[Robinson arithmetic|Raphael Robinson's Arithmetic]] and those that are not; [[computational complexity theory|computational complexity]], including the problem of whether [[P = NP problem|P is equal to NP or not]]; and automated proof checking.
-In September 2011, Nelson announced that he had proved that [[Peano arithmetic]] was logically inconsistent. An error was found in the proof, and he retracted the claim.
-==Publications==
-*''Dynamical theory of Brownian motion.'' Princeton University Press 1967
-*''Topics in Dynamics 1: Flows.'' Princeton University Press 1969
-*''Tensor analysis.'' Princeton University Press 1967
-*''Quantum Fluctuations.'' Princeton University Press, 1985
-*''Predicative Arithmetic.'' Princeton University Press, 1986<ref>{{cite journal|author=Wilkie, A. J.|authorlink=Alex Wilkie|title=Review: ''Predicative arithmetic'', by Edward Nelson|journal=Bull. Amer. Math. Soc. (N.S.)|year=1990|volume=22|issue=2|pages=326–331|url=http://www.ams.org/journals/bull/1990-22-02/S0273-0979-1990-15900-2/}}</ref>
-*''Radically elementary probability theory.'' Annals of Mathematical Studies, Princeton 1987
-==Notes==
-{{reflist}}
-==See also==
-*[[Influence of non-standard analysis]]
-==References==
-* [http://math.princeton.edu/~nelson/cv.pdf Curriculum Vitae]
-* [https://web.math.princeton.edu/~nelson/papers/faith.pdf Mathematics and Faith (PDF)]
-==External links==
-*[http://www.math.princeton.edu/~nelson/ Edward Nelson's Homepage]
-{{Authority control|VIAF=108601931}}
-{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
-| NAME              = Nelson, Edward
-| ALTERNATIVE NAMES =
-| SHORT DESCRIPTION = American mathematician
-| DATE OF BIRTH     = May 4, 1932
-| PLACE OF BIRTH    =
-| DATE OF DEATH     =
-| PLACE OF DEATH    =
-}}
-{{DEFAULTSORT:Nelson, Edward}}
-[[Category:1932 births]]
-[[Category:Members of the United States National Academy of Sciences]]
-[[Category:Fellows of the American Mathematical Society]]
-[[Category:American Christians]]
-[[Category:American mathematicians]]
-[[Category:American logicians]]
-[[Category:Set theorists]]
-[[Category:University of Chicago alumni]]
-[[Category:Princeton University faculty]]
-[[Category:Living people]]
-[[Category:Mathematical physicists]]
-[[Category:American philosophers]]

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