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A warning: in general mathematical usage, this is not the definition of "almost all"; the notion of "almost all" is with respect to some notion of measure on a
by jhanschoo 8y ago
A warning: in general mathematical usage, this is not the definition of "almost all"; the notion of "almost all" is with respect to some notion of measure on a set. In the set of real numbers, for example, with the usual Lebesgue measure on it, if all but a /countable/ number of elements has a property X, then almost all the reals has that property X. (Note that uncountable sets in R exists that have zero measure; i.e. uncountable sets that "almost no" points in R lie in that uncountable subset of R)
- anyfoo 8y agoAh. "With the exception of finitely many" [1] was the definition given to me in University. The generalization makes sense, however. [1] I don't think I'm doing a good job translating the original German definition I was given, which sounds much better: "Mit Ausnahme endlich vieler".
- jhanschoo 8y agoAh, in English "all but finitely many" is indeed very commonly used, and rarely is "almost all" defined to have that sense.