Mathematical Logic Quarterly 40 (1):69-75 (1994)

In conventional generalization of the main results of classical measure theory to Stone algebra valued measures, the values that measures and functions can take are Booleanized, while the classical notion of a σ-field is retained. The main purpose of this paper is to show by abundace of illustrations that if we agree to Booleanize the notion of a σ-field as well, then all the glorious legacy of classical measure theory is preserved completely
Keywords Stone algebra valued measures  Boolean valued analysis  Radon‐Nikodym theorems
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DOI 10.1002/malq.19940400110
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Two Applications of Logic to Mathematics.Gaisi Takeuti - 1955 - Princeton University Press.

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