My general approach to contribute to such a theory, consists of collecting and evaluating as many infinite regress arguments as possible, comparing and contrasting many of the formal and non-formal properties, looking for recurring patterns, and identifying the properties that appeared essential to those patterns. Two very general questions guided this work: (1) How are infinite regresses generated in infinite regress arguments? (2) How do infinite regresses logically function as premises in an argument? In answering these questions I clarify the notion of an infinite regress; identify different logical forms of infinite regresses; describe different kinds of infinite regress arguments; distinguish the rhetoric from the logic in infinite regress arguments; and suggest ways of improving our discussion and our practice of constructing and evaluating these arguments.
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"This is a much welcomed book. Its main message is: make your infinite regress argument explicit! The typical presentation of such an argument is, as Gratton puts it, 'so succinct and has so many gaps' ... that we hardly know what to think of it. ... The book is a very welcome addition to the philosophical toolkit." (Jan Willem Wieland, Argumentation, Vol. 25, 2011)