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Science Advisor

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Technically you could say that no matter what the configuration, there are an infinite number of paths (since one point over to the left or to the right is still another path), but we can't add an infinite number of those "amplitude arrows". Instead, we treat it as in an introduction to calculus, and examine a finite number of paths each path differing slightly but significantly from the adjacent one (sort of a "differential"). THe result is the same as if we did add an infinite number of amplitude arrows together since all the possible paths between two of the adjacent "selected" paths would be canceled out somewhere on the "other side" (gosh, that's vague).

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