Mathematical Logic Quarterly 38 (1):373-382 (1992)

In this paper we investigate Boolean algebras and their subalgebras in Alternative Set Theory . We show that any two countable atomless Boolean algebras are isomorphic and we give an example of such a Boolean algebra. One other main result is, that there is an infinite Boolean algebra freely generated by a set. At the end of the paper we show that the sentence “There is no non-trivial free group which is a set” is consistent with AST
Keywords semisets  free Boolean algebras  free groups  Alternative set theory  atomless Boolean algebras
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DOI 10.1002/malq.19920380135
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References found in this work BETA

Mathematical Logic.J. Donald Monk - 1976 - Springer Verlag.
Basic Set Theory.H. T. Hodes - 1981 - Philosophical Review 90 (2):298-300.
Mathematics in the Alternative Set Theory.[author unknown] - 1984 - Journal of Symbolic Logic 49 (4):1423-1424.

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