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okay lets have a look at the start of the next section weve got Sigma auditors weve got at least one interesting Sigma with the paralysis and now Im going to give you the notion of a measurable space and measurable sets and then the notion of a measure which is were gonna be measuring the size of our sets with so the honor what are whats the idea of this well weve got some informal notions in our head of length area volume weve got a pretty good idea weve got a pretty good intuitive idea of what area and volume should be but if not obvious whether we can actually assign an area or plug into every set in a sensible way and it turns out with a problem and in one dimension its bit less obvious I mean area if youve got several different sets and you take their union and they dont overlap then leaving the area see about that and you know youve got to destroy disks and you want to add up the two areas of those disks in order to get the area of the union and if youre lucky you
