Classifier Instance:

Anchor text: contents
Target Entity: Content_\u0028measure_theory\u0029
Preceding Context: Another generalization is the finitely additive measure, which are sometimes called
Succeeding Context: . This is the same as a measure except that instead of requiring countable additivity we require only finite additivity. Historically, this definition was used first. It turns out that in general, finitely additive measures are connected with notions such as Banach limits, the dual of L ∞ and the Stone–Čech compactification. All these are linked in one way or another to the axiom of choice.
Paragraph Title: Generalizations
Source Page: Measure (mathematics)

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