Benjamin Abram Bernstein
American mathematician
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Mathematics
Benjamin Abram Bernstein's Degrees
- Masters Mathematics Stanford University
- Bachelors Mathematics Princeton University
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Why Is Benjamin Abram Bernstein Influential?
(Suggest an Edit or Addition)According to Wikipedia, Benjamin Abram Bernstein was an American mathematician, specializing in mathematical logic. Biography 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 Baltimore City College, and then received in 1905 his A.B. degree from Johns Hopkins University. After completing two years of graduate study at Johns Hopkins University, he became in 1907 an instructor and continuing graduate student in mathematics at the University of California, Berkeley. There he received in 1913, with supervisor Mellen W. Haskell, 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.
Benjamin Abram Bernstein's Published Works
Published Works
- A set of four independent postulates for Boolean algebras (31)
- Micropuncture study of bicarbonate reabsorption by the dog nephron. (1968) (29)
- A set of four postulates for Boolean algebra in terms of the “implicative” operation (1934) (16)
- Whitehead and Russell's Principia Mathematica (1926) (9)
- Note on the Condition that a Boolean Equation Have a Unique Solution (1932) (8)
- Tongue and multiple cutaneous granular-cell myoblastoma. (1971) (7)
- Operations with respect to which the elements of a Boolean algebra form a group (1924) (7)
- A simplification of the Whitehead-Huntington set of postulates for boolean algebras (1916) (7)
- Symmetric approach to commutative rings, with duality theorem: Boolean duality as special case (1944) (6)
- Postulates for abelian groups and fields in terms of non-associative operations (1938) (5)
- University of California publications in mathematics, new series (1966) (5)
- Simplification of the set of four postulates for Boolean algebras in terms of rejection (1933) (4)
- A Dual-Symmetric Definition of Field (1945) (4)
- Postulate-sets for Boolean rings (1944) (4)
- Sets of Postulates for Boolean Groups (1939) (3)
- On Nicod's reduction in the number of primitives of logic (1932) (3)
- Sets of postulates for the logic of propositions (1926) (3)
- On proposition *4.78 of Principia Mathematica (1932) (3)
- Cutis laxa: report of case. (1971) (3)
- Postulates for Boolean Algebra Involving the Operation of Complete Disjunction (1936) (3)
- Remark on Nicod's reduction of Principia mathematica (1937) (2)
- Ramsey on Foundations of Mathematics (1932) (2)
- Whitehead and Russell’s theory of deduction as a mathematical science (1931) (2)
- The October meeting of the San Francisco Section (1919) (2)
- The complete existential theory of Hurwitz’s postulates for abelian groups and fields (1922) (1)
- Weak definitions of field (1947) (1)
- On the existence of fields in Boolean algebras (1926) (1)
- Remarks on propositions *1.1 and *3.35 of principia mathematica (1933) (1)
- On the Complete Independence of Hurwitz's Postulates for Abelian Groups and Fields (1922) (1)
- Representation of Three-Element Algebras (1924) (1)
- A general theory of representation of finite operations and relations (1926) (0)
- The forty-ninth regular meeting of the San Francisco Section (0)
- The June meeting in Berkeley (1929) (0)
- Errata: “Operations with respect to which the elements of a Boolean algebra form a group” [Trans. Amer. Math. Soc. 26 (1924), no. 2, 171–175; 1501271] (1925) (0)
- The forty-sixth regular meeting of the San Francisco Section (0)
- The fifty-third regular meeting of the San Francisco Section (0)
- The March meeting in Palo Alto (1933) (0)
- The dual of a logical expression (1927) (0)
- Groups and Abelian groups in terms of negative addition and negation (1939) (0)
- Complete sets of representations of two-element algebras (0)
- The fiftieth regular meeting of the San Francisco Section (0)
- The fifty-first regular meeting of the San Francisco Section (1927) (0)
- Relation of Whitehead and Russell’s theory of deduction to the Boolean logic of propositions (1932) (0)
- A practical method for the modular representation of finite operations and relations (1932) (0)
- On the serial relation in Boolean algebras (0)
- Note on the graphical solutions of the fundamental equations in the short methods of determining orbits (1912) (0)
- The forty-eighth regular meeting of the San Francisco Section (0)
- The fifty-second regular meeting of the San Francisco Section (0)
- A generalization of the syllogism (1924) (0)
- Primary normokalemic aldosteronism. (1966) (0)
- The Thanksgiving meeting in Pasadena (0)
- On unit-zero Boolean representations of operations and relations (1932) (0)
- The April meeting of the San Francisco Section (1918) (0)
- Application of Boolean algebra to proving consistency and independence of postulates (1931) (0)
- Fifty-fifth regular meeting of the San Francisco Section (1925) (0)
- On Finite Boolean Algebras (1935) (0)
- Irredundant sets of postulates for the logic of propositions (1929) (0)
- On Section A of Principia Mathematica (1933) (0)
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