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This appears to be just the same thing as a "finitely-additive measure"; am I wrong in concluding that? - Chinju ( talk) 00:40, 27 January 2008 (UTC)
hi guys,
so i saw the wiki for pre-measure and it says the reason it's not a measure is because it's not defined on a sigma-algebra.
however, it seems to me that the content is more of a "precursor" to a measure than a pre-measure.
in the case where the content is not defined over a sigma algebra, surely there is some sort of way we could tie it in with pre-measure?
both content and pre-measure are sigma additive, too. surely i'm not off my rocker (I HOPE?! ;)) ? ty in advance for the chat guys. 174.3.155.181 ( talk) 20:34, 7 July 2016 (UTC)
References
I do not believe the stated definition of binary disjoint additivity implies finite additivity (which I assume one wants). For example, take the semiring and consider the content This satisfies binary disjoint additivity, but not finite additivity. (And thus also not monotonicity as claimed in the article). -- 164.15.254.98 ( talk) 10:06, 16 February 2023 (UTC)
![]() | This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
|
This appears to be just the same thing as a "finitely-additive measure"; am I wrong in concluding that? - Chinju ( talk) 00:40, 27 January 2008 (UTC)
hi guys,
so i saw the wiki for pre-measure and it says the reason it's not a measure is because it's not defined on a sigma-algebra.
however, it seems to me that the content is more of a "precursor" to a measure than a pre-measure.
in the case where the content is not defined over a sigma algebra, surely there is some sort of way we could tie it in with pre-measure?
both content and pre-measure are sigma additive, too. surely i'm not off my rocker (I HOPE?! ;)) ? ty in advance for the chat guys. 174.3.155.181 ( talk) 20:34, 7 July 2016 (UTC)
References
I do not believe the stated definition of binary disjoint additivity implies finite additivity (which I assume one wants). For example, take the semiring and consider the content This satisfies binary disjoint additivity, but not finite additivity. (And thus also not monotonicity as claimed in the article). -- 164.15.254.98 ( talk) 10:06, 16 February 2023 (UTC)