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of
Harvard, Professor Bernstein was a pioneer in this field from the mathematical point of view. ... During this early period in the history of mathematical logic, a notable event for the subject was the publication of
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When
Professor Bernstein began his studies in mathematics, the subject of algebra of logic, or mathematical logic, was just beginning to receive intensive scholarly study, mainly from philosophers. Along with
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62:, his Ph.D. At Berkeley, Bernstein became in 1918 an assistant professor, in 1923 an associate professor, and in 1928 a full professor of mathematics, retiring in 1951 as professor emeritus.
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With his Jewish family, Bernstein immigrated as a child to the United States. After completing public primary education in 1897 in
Baltimore, he completed in 1902 his secondary education at
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Errata for 1924 Trans. Amer. Math. Soc. vol. 26, pages 171–175: published Trans. Amer. Math. Soc. 27 (1925) 600.
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Bernstein, B. A. (1936). "Postulates for
Boolean algebra involving the operation of complete disjunction".
113:. Bernstein was predeceased by his wife and upon his death was survived by a daughter and a granddaughter.
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130:"Note on the graphical solutions of the fundamental equations in the short methods of determining orbits"
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In June 1920 in New York City, Professor
Bernstein married Rose Davidson; her brother was the sculptor
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885:"Symmetric Approach to Commutative Rings with Duality Theorem: Boolean Duality as Special Case"
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670:"Simplification of the set of four postulates for Boolean algebras in terms of rejection"
235:"The complete existential theory of Hurwitz's postulates for abelian groups and fields"
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740:"A set of four postulates for Boolean algebra in terms of the "implicative" operation"
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495:"A practical method for the modular representation of finite operations and relations"
459:"Application of Boolean algebra to proving consistency and independence of postulates"
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Guide to the
Benjamin Abram Bernstein papers, 1901–1963, Online Archive of California
165:"A simplification of the Whitehead-Huntington set of postulates for boolean algebras"
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845:"Postulates for abelian groups and fields in terms of non-associative operations"
270:"Operations with respect to which the elements of a Boolean algebra form a group"
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Benjamin Abram
Bernstein, University of California: In Memoriam, April 1965
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University of
California, Berkeley College of Letters and Science faculty
23:
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424:"Whitehead and Russell's theory of deduction as a mathematical science"
335:
314:
Bernstein, B. A. (1924). "Representation of three-element algebras".
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234:
86:. Professor Bernstein was an intensive and critical student of this
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Bernstein, B. A. (December 1937). "Remarks on Nicod's reduction of
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Fellows of the
American Association for the Advancement of Science
600:"On unit-zero Boolean representations of operations and relations"
635:"Remarks on Propositions *1.1 and *3.35 of Principia Mathematica"
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Robert Levit
Obituary, San Francisco Chronicle, 30 May 2010
200:"A set of four independent postulates for Boolean algebras"
98:
in 1924 in Toronto. He was elected in 1931 a fellow of the
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In Proc. 7th Int. Cong. Math, vol. 1, pp. 207-216. 1924.
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Emigrants from the Russian Empire to the United States
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Foster, Alfred L.; Bernstein, B. A. (September 1944).
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American Association for the Advancement of Science
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American Association for the Advancement of Science
345:"Sets of postulates for the logic of propositions"
1143:UC Berkeley College of Letters and Science alumni
102:. His doctoral students include Robert Levit and
50:, and then received in 1905 his A.B. degree from
34:) was an American mathematician, specializing in
380:"On the existence of fields in Boolean algebras"
530:"On proposition *4.78 of Principia Mathematica"
64:
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978:
1046:"Modular representations of finite algebras."
416:Bulletin of the American Mathematical Society
413:"On the Serial Relations in Boolean Algebras"
58:. There he received in 1913, with supervisor
8:
1158:American people of Lithuanian-Jewish descent
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128:Leuschner, A. O.; Bernstein, B. A. (1912).
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705:"On Section A of Principia Mathematica"
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1128:20th-century American mathematicians
1006:. New York: Philosophical Library.
910:"Postulate-sets for Boolean rings"
56:University of California, Berkeley
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217:10.1090/s0002-9947-1916-1501029-5
94:He was an Invited Speaker at the
90:and discussed it in many papers.
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512:10.1090/s0002-9904-1932-05338-1
476:10.1090/s0002-9904-1931-05242-3
441:10.1090/s0002-9904-1931-05191-0
316:American Journal of Mathematics
252:10.1090/s0002-9904-1922-03600-2
182:10.1090/s0002-9904-1916-02831-x
147:10.1090/s0002-9904-1912-02211-5
1:
1133:Baltimore City College alumni
1034:Mathematics Genealogy Project
961:10.1215/s0012-7094-47-01439-7
945:"Weak definitions of a field"
901:10.1215/s0012-7094-44-01153-1
1000:Runes, Dagobert D. (1951).
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949:Duke Mathematical Journal
943:Bernstein, B. A. (1947).
908:Bernstein, B. A. (1944).
889:Duke Mathematical Journal
843:Bernstein, B. A. (1938).
808:Journal of Symbolic Logic
738:Bernstein, B. A. (1934).
703:Bernstein, B. A. (1933).
668:Bernstein, B. A. (1933).
633:Bernstein, B. A. (1933).
598:Bernstein, B. A. (1932).
563:Bernstein, B. A. (1932).
528:Bernstein, B. A. (1932).
457:Bernstein, B. A. (1931).
422:Bernstein, B. A. (1931).
378:Bernstein, B. A. (1926).
343:Bernstein, B. A. (1926).
268:Bernstein, B. A. (1924).
233:Bernstein, B. A. (1922).
198:Bernstein, B. A. (1916).
163:Bernstein, B. A. (1916).
1030:Benjamin Abram Bernstein
52:Johns Hopkins University
20:Benjamin Abram Bernstein
1123:Mathematical logicians
914:Trans. Amer. Math. Soc
849:Trans. Amer. Math. Soc
744:Trans. Amer. Math. Soc
384:Trans. Amer. Math. Soc
349:Trans. Amer. Math. Soc
274:Trans. Amer. Math. Soc
204:Trans. Amer. Math. Soc
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48:Baltimore City College
16:American mathematician
804:Principia Mathematica
775:Annals of Mathematics
709:Bull. Amer. Math. Soc
674:Bull. Amer. Math. Soc
639:Bull. Amer. Math. Soc
604:Bull. Amer. Math. Soc
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534:Bull. Amer. Math. Soc
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463:Bull. Amer. Math. Soc
428:Bull. Amer. Math. Soc
239:Bull. Amer. Math. Soc
169:Bull. Amer. Math. Soc
134:Bull. Amer. Math. Soc
117:Selected publications
75:Principia Mathematica
30:– 25 September 1964,
32:Berkeley, California
1066:"Historic Fellows"
1051:2016-09-24 at the
491:with Nemo Debely:
36:mathematical logic
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111:Jo Davidson
1107:Categories
969:References
210:: 50–52.
88:Principia
80:Whitehead
42:Biography
28:Lithuania
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