Two brief formulations of Boolean algebra
Author:
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
http://www.ams.org/bull/1946-52-04/S0002-9904-1946-08556-0/S0002-9904-1946-08556-0.pdf
Reference5 articles.
1. A set of five independent postulates for Boolean algebras, with application to logical constants;Sheffer, Henry Maurice;Trans. Amer. Math. Soc.,1913
2. 2. B. A. Bernstein, Simplification of the set of four postulates for Boolean algebras in terms of rejection, Bull. Amer. Math. Soc. vol. 39 (1933) pp. 783-787. In effect this reduces Sheffer’s three transformation postulates to two, employing the same operation.
3. A set of four postulates for Boolean algebra in terms of the “implicative” operation;Bernstein, B. A.;Trans. Amer. Math. Soc.,1934
4. 4. E. V. Huntington, New sets of postulates for the algebra of logic, Trans. Amer. Math. Soc. vol. 35 (1933) pp. 274-304, 557-558, 971. The fourth and fifth sets are limited to three transformation postulates.
5. 5. S. Hoberman and J. C. C. McKinsey, A set of postulates for Boolean algebra, Bull. Amer. Math. Soc. vol. 43 (1937) pp. 588-592. Has only one transformation postulate, but this is metamathematical in character, and equivalent to an infinite bundle of "object-language" axioms of the kind considered in this paper.
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