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Section 1.4 discusses index collections of sets, using Sigma notation for summation. The notation involves a union of sets a1 to aN, signifying the combination of all sets from a1 up to aN. Similarly, intersections function by combining sets a1 to aN. The result of these operations is a set containing elements that are present in at least one of the sets for union, and present in all sets for intersection. This notation can be generalized using an index i.