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- Thread starter cam875
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HallsofIvy

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Yes, as a set containing an "infinite" number of points, it is an infinite set. But that has nothing to do with its

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so its geometrical length is still considered finite although its set is considered infinite?

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so its geometrical length is still considered finite although its set is considered infinite?

Length is a specific kind of measure on a set.

http://en.wikipedia.org/wiki/Measure_(mathematics [Broken])

This is distinct from the cardinality of the set. The cardinality of informally referred to as the "size" of the set.

http://en.wikipedia.org/wiki/Cardinality

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