This book on infinite regress arguments provides (i) an up-to-date overview of the literature on the topic, (ii) ready-to-use insights for all domains of philosophy, and (iii) two case studies to illustrate these insights in some detail. Infinite regress arguments play an important role in all domains of philosophy. There are infinite regresses of reasons, obligations, rules, and disputes, and all are supposed to have their own moral. Yet most of them are involved in controversy. Hence the question is: what (...) exactly is an infinite regress argument, and when is such an argument a good one? (shrink)

Many philosophers say that time involves a kind of passage that distinguishes it from space. A traditional objection is that this passage would have to occur at some rate, yet we cannot say what the rate would be. The paper argues that the real problem with time’s passage is different: time would have to pass at one second per second, yet this is not a rate of change. This appears to refute decisively not only the view that time passes, but (...) any tensed theory of time. (shrink)

Many paradoxes have been revealed in the theory of democracy over the years. This article points to yet another paradox at the heart of democracy, whether in its aggregative or deliberative form.The paradox is this: If you are dealing with a large and heterogeneous community, in which people's choices are menu-sensitive in diverse ways, and if people's cognitive capacities preclude them from considering all items on a large menu simultaneouslythen individuals’ choices may be unstable and manipulable depending on how choices (...) over cognitively-manageable subsets of the menu are partitioned and sequenced, 1 and the collective choice may be likewise unstable and manipulable in consequence.Aggregative democracy casts this argument in terms of ‘alternatives’ on the menu for choice. Deliberative democracy casts this argument in terms of ‘considerations’. The same formal problem arises in both cases. (shrink)

Abstract. Since Darwin, scholars have contemplated what our growing understanding of natural selection, combined with the fact that great suffering occurs, allows us to infer about the possibility that a benevolent God created the universe. Building on this long line of thought, I develop a model that illustrates how undesirable characteristics of the world (stylized “evils”) can influence long-run outcomes. More specifically, the model considers an evolutionary process in which each generation faces a risk from a “natural evil” (e.g., predation, (...) disease, or a natural disaster) subsequent to a basic resource allocation game. This allows both resource allocation and the natural evil to influence the number of surviving offspring. As the model shows, when the risk from the natural evil can be mitigated through the benevolent behavior of neighbors, the population may have increasing benevolence as a result of (1) greater risk from the natural evil and (2) a greater degree to which selfish individuals transfer resources to themselves in the resource allocation game. The main implication is that a world with evolutionary processes (in contrast to a world of static design) can allow two factors that have traditionally been considered “evils”—namely, the indiscriminate cruelty of the natural world and the capacity for humans to harm each other—to promote desirable long-run outcomes. (shrink)

It is almost universally believed that some infinite regresses are vicious, and also almost universally believed that some are benign. In this paper I argue that regresses can be vicious for several different sorts of reasons. Furthermore, I claim that some intuitively vicious regresses do not suffer from any of the particular aetiologies that guarantee viciousness to regresses, but are nevertheless so on the basis of considerations of parsimony. The difference between some apparently benign and some apparently vicious regresses, then, (...) turns out to be a matter of a more general assessment of costs and benefits, making viciousness of regresses in some cases less of a local matter than is usually thought. (shrink)

Infinite regress arguments are part of a philosopher's tool kit of argumentation. But how sharp or strong is this tool? How effectively is it used? The typical presentation of infinite regress arguments throughout history is so succinct and has so many gaps that it is often unclear how an infinite regress is derived, and why an infinite regress is logically problematic, and as a result, it is often difficult to evaluate infinite regress arguments. These consequences of our customary way of (...) using this tool indicate that there is a need for a theory to re-orient our practice. 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: How are infinite regresses generated in infinite regress arguments? 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. (shrink)

According to Johansson (2009: 22) an infinite regress is vicious just in case “what comes first [in the regress-order] is for its definition dependent on what comes afterwards.” Given a few qualifications (to be spelled out below (section 3)), I agree. Again according to Johansson (ibid.), one of the consequences of accepting this way of distinguishing vicious from benign regresses is that the so-called Russellian Resemblance Regress (RRR), if generated in a one-category trope-theoretical framework, is vicious and that, therefore, the (...) existence of tropes only makes sense if trope-theory is understood (minimally) as a two-category theory which accepts, besides the existence of tropes, also the existence of at least one universal: resemblance.1 I disagree. But how can that be? How can Johansson and I agree about what distinguishes a vicious from a benign regress, yet disagree about which regresses are vicious and which are benign? In this paper I attempt to answer that question by first setting out and defending the sense of viciousness which both Johansson and I accept, only to then argue that to be able to determine if a particular regress is vicious in this sense, more than features intrinsic to the regress itself must be taken into account. This is why, although the RRR as originally set out by Russell is vicious, the seemingly identical resemblance regress which ensues in a one-category (standard) trope-theoretical context is not (provided, that is, that we accept certain views about how the nature of tropes relates to the resemblance between tropes, and given that we set our theory in a truthmaker theoretical framework – all of which are standard assumptions for proponents of (the standard-version of) the trope-theory).2. (shrink)

In the literature, regress arguments often take one of two different forms: either they conclude that a given solution fails to solve any problem of a certain kind (the strong conclusion), or they conclude that a given solution fails to solve all problems of a certain kind (the weaker conclusion). This gives rise to a logical problem: do regresses entail the strong or the weaker conclusion, or none? In this paper I demonstrate that regress arguments can in fact take both (...) forms, and clearly set out the logical difference between them. Throughout the paper, I confine myself to metaphysical examples from the early Russell. Only now that we know they are valid can we start to discuss whether they are sound. (shrink)

In this paper I fix a typical regress argument, locate a typical gap in the argument, and try to supply a number of gap-filling readings of its first premise.