The successive interchanges on how well the WZ method and Pfaff's method perform have made an interesting contest. Each successive discovery has added insight to our knowledge of this branch of of mathematics. I would hope that one result of this work along with that of Wilf, Petkovsek and Zeilberger is a refutation of the thesis advanced by Zeilberger in [17]. Namely, significant amounts of thought have directed computers in discovering mathematics; nowhere in all this did computers do it on their own.
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