The independence of the axiom of choice from the Boolean prime ideal theorem
J. Halperin (1964)
Fundamenta Mathematicae
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Displaying similar documents to “Remarks on Henkin's paper: Boolean representation trough, propositional calculus”
The independence of the axiom of choice from the Boolean prime ideal theorem
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W. Luxemburg (1964)
Fundamenta Mathematicae
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Kelley's specialization of Tychonoff's Theorem is equivalent to the Boolean Prime Ideal Theorem
Eric Schechter (2006)
Fundamenta Mathematicae
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The principle that "any product of cofinite topologies is compact" is equivalent (without appealing to the Axiom of Choice) to the Boolean Prime Ideal Theorem.
Boolean representation trough propositional calculus
Leon Henkin (1955)
Fundamenta Mathematicae
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A proof of the independence of the Axiom of Choice from the Boolean Prime Ideal Theorem
Miroslav Repický (2015)
Commentationes Mathematicae Universitatis Carolinae
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We present a proof of the Boolean Prime Ideal Theorem in a transitive model of ZF in which the Axiom of Choice does not hold. We omit the argument based on the full Halpern-Läuchli partition theorem and instead we reduce the proof to its elementary case.
The Tychonoff product theorem for compact Hausdorff spaces does not imply the axiom of choice: A new Proof. equivalent propositions.
B. R. Salinas, F. Bombal (1973)
Collectanea Mathematica
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Effectiveness of the representation theory for Boolean algebras
J. Łoś, Czesław Ryll-Nardzewski (1955)
Fundamenta Mathematicae
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Algebraic logic, I. Monadic boolean algebras
Paul R. Halmos (1954-1956)
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Some propositions equivalent to the Sikorski Extension Theorem for Boolean algebras
J. Bell (1988)
Fundamenta Mathematicae
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