This article argues that one of the main arguments against metaphysical infinitism—the argument from vicious infinite regress—is unsuccessful. I suggest that a proper interpretation of the argument takes the charge against infinitism to be one of metaphysical insufficiency: without the fundamental facts fully grounding the rest of reality, derivative facts lack the necessary grounding base for their obtaining. I disambiguate the insufficiency claim by examining it from two different perspectives on the regress: the local perspective, which focuses on the obtaining (...) of the individual derivative facts, and the global perspective, which focuses on the obtaining of the entire collection of derivative facts. For each perspective, I argue that the reasons for believing that infinitism cannot provide sufficient grounds are problematic. (shrink)

I show that in our theoretical representations of argument, vicious infinite regresses of self-reference may arise with respect to each of the three usual, informal criteria of argument cogency: the premises are to be relevant, sufficient, and acceptable. They arise needlessly, by confusing a cogency criterion with argument content. The three types of regress all are structurally similar to Lewis Carroll’s famous regress, which involves quantitative extravagance with no explanatory power. Most attention is devoted to the sufficiency criterion, including its (...) relation to the view au courant that inferring necessarily involves the thinker taking her premises to support her conclusion. I contend that this view is mistaken and likewise that arguments make no such assumption or inference claim as that the premises support the conclusion. The core of the positive alternative model I propose is that there is commitment to, but not claiming, the proposition that the premises support the conclusion. (shrink)

This article argues that one of the main arguments against metaphysical infinitism—the argument from vicious infinite regress—is unsuccessful. I suggest that a proper interpretation of the argument takes the charge against infinitism to be one of metaphysical insufficiency: without the fundamental facts fully grounding the rest of reality, derivative facts lack the necessary grounding base for their obtaining. I disambiguate the insufficiency claim by examining it from two different perspectives on the regress: the local perspective, which focuses on the obtaining (...) of the individual derivative facts, and the global perspective, which focuses on the obtaining of the entire collection of derivative facts. For each perspective, I argue that the reasons for believing that infinitism cannot provide sufficient grounds are problematic. (shrink)