'Ontological dependence' is a term of philosophical jargon which stands for a rich family of properties and relations, often taken to be among the most fundamental ontological properties and relations. Notions of ontological dependence are usually thought of as 'carving reality at its ontological joints', and as marking certain forms of ontological 'non-self-sufficiency'. The use of notions of dependence goes back as far as Aristotle's characterization of substances, and these notions are still widely used to characterize other concepts and to (...) formulate metaphysical claims. This paper first gives an overview of the varieties of these notions, and then discusses some of their main applications. (shrink)

Several of Thomas Aquinas's proofs for the existence of God rely on the claim that causal series cannot proceed in infinitum. I argue that Aquinas has good reason to hold this claim given his conception of causation. Because he holds that effects are ontologically dependent on their causes, he holds that the relevant causal series are wholly derivative: the later members of such series serve as causes only insofar as they have been caused by and are effects of the earlier (...) members. Because the intermediate causes in such series possess causal powers only by deriving them from all the preceding causes, they need a first and non-derivative cause to serve as the source of their causal powers. (shrink)

Divine necessity is the thesis that God must exist. In this paper, I give a brief survey of what the thesis is more exactly, the main arguments for it, and the main arguments against it.

Although it is very often taken for granted that there is something fundamental, the literature appears to have developed with little to no careful consideration of what exactly it is that the fundamentalia are supposed to do. If we are to have a good reason to believe that there is something fundamental, we need not only to know what exactly it is that the fundamentalia are invoked for, but why it is that nothing else is available for the task to (...) hand. A good argument in defense of fundamentality, then, will contain an assumption that stipulates an explanatory target; along with a second, crucial, assumption that tells us that no dependent entity is available to do the work that needs to be done. In this paper, I explore both of these assumptions. (shrink)

Given the centrality of arguments from vicious infinite regress to our philosophical reasoning, it is little wonder that they should also appear on the catalogue of arguments offered in defense of theses that pertain to the fundamental structure of reality. In particular, the metaphysical foundationalist will argue that, on pain of vicious infinite regress, there must be something fundamental. But why think that infinite regresses of grounds are vicious? I explore existing proposed accounts of viciousness cast in terms of contradictions, (...) dependence, failed reductive theories and parsimony. I argue that no one of these accounts adequately captures the conditions under which an infinite regress—any infinite regress—is vicious as opposed to benign. In their place, I suggest an account of viciousness in terms of explanatory failure. If this account is correct, infinite grounding regresses are not necessarily vicious; and we must be much more careful employing such arguments to the conclusion that there has to be something fundamental. (shrink)

Cosmological arguments have received more attention in the past ten years. One reason for this is that versions with restricted or even no reliance on the principle of sufficient reason (PSR) have been formulated. By not relying on PSR – what many consider to be a necessary falsehood – philosophers have been able to escape many of the old criticisms of cosmological arguments. In this essay I survey two recent attempts at presenting a sound version of a cosmological argument. I (...) spend more time on Robert Koons’ since his has not yet received the kind of quality attention that the other has. (shrink)

Cosmological arguments from contingency attempt to show that there is a necessarily existing god‐like being on the basis of the fact that any concrete things exist at all. Such arguments are built out of the following components: (i) a causal principle that applies to non‐necessary entities of a certain category; (ii) a reason to think that if the causal principle is true, then there would have to be a necessarily existing concrete thing; (iii) a reason to think that the necessarily (...) existing thing would be god‐like. In this essay, I discuss various ways of developing each of these components to produce an argument from contingency, and I point out classic objections and replies along the way. I also make note of some of the most recent developments in arguments from contingency and point out avenues for future research. (shrink)

In this paper I argue against grounding being necessarily well-founded, and provide some reasons to think it's actually not well-founded.

This is the first systematic survey of modern nominalistic reconstructions of mathematics, and for this reason alone it should be read by everyone interested in the philosophy of mathematics and, more generally, in questions concerning abstract entities. In the bulk of the book, the authors sketch a common formal framework for nominalistic reconstructions, outline three major strategies such reconstructions can follow, and locate proposals in the literature with respect to these strategies. The discussion is presented with admirable precision and clarity, (...) and should be accessible even to readers with only minimal background in logic and mathematics. There will be many who will turn directly to these pages and use them as a brief manual on the state of the art of nominalism in mathematics. But the most intriguing parts of this elegant book—at least in my view—are the introduction and the conclusion, where the authors examine the significance of reconstructive nominalism. (shrink)

Consider a circle and a pair of its semicircles. Which is prior, the whole or its parts? Are the semicircles dependent abstractions from their whole, or is the circle a derivative construction from its parts? Now in place of the circle consider the entire cosmos (the ultimate concrete whole), and in place of the pair of semicircles consider the myriad particles (the ultimate concrete parts). Which if either is ultimately prior, the one ultimate whole or its many ultimate parts?

Grounding is often glossed as metaphysical causation, yet no current theory of grounding looks remotely like a plausible treatment of causation. I propose to take the analogy between grounding and causation seriously, by providing an account of grounding in the image of causation, on the template of structural equation models for causation.

This essay focuses on a recently prominent notion of ground which is distinctive for how it links metaphysics to explanation. Ground is supposed to serve both as the common factor in diverse in virtue of questions as well as the structuring relation in the project of explaining how some phenomena are “built” from more fundamental phenomena. My aim is to provide an opinionated synopsis of this notion of ground without engaging with others. Ground, so understood, generally resists illumination by appeal (...) to more familiar models of explanation. Nevertheless, its distinctive explanatory and metaphysical aspects guide us on characterizing its explanatory logic and its metaphysical features. Some issues concerning the meta-question of what grounds ground are explored, as well as some recent skeptical challenges to ground. (shrink)

I argue that Traditional Christian Theism is inconsistent with Truthmaker Maximalism, the thesis that all truths have truthmakers. Though this original formulation requires extensive revision, the gist of the argument is as follows. Suppose for reductio Traditional Christian Theism and the sort of Truthmaker Theory that embraces Truthmaker Maximalism are both true. By Traditional Christian Theism, there is a world in which God, and only God, exists. There are no animals in such a world. Thus, it is true in such (...) a world that there are no zebras. That there are no zebras must have a truthmaker, given Truthmaker Maximalism. God is the only existing object in such a world, and so God must be the truthmaker for this truth, given that it has a truthmaker. But truthmakers necessitate the truths they make true. So, for any world, at any time at which God exists, God makes that there are no zebras true. According to Traditional Christian Theism, God exists in our world. In our world, then, it is true: there are no zebras. But there are zebras. Contradiction! Thus, the conjunction of Traditional Christian Theism with Truthmaker Necessitation and Truthmaker Maximalism is inconsistent. (shrink)

This paper presents a characterization of the ontological dependence relation between an existent and its sustaining cause, which allows to straightforwardly deduce that the being of any dependent existent is grounded on an independent one. Furthermore, an argument is given to the conclusion that there is a unique independent existent, which is therefore the ultimate ground of being.

General discussion of grounding, including its formal features, relations to other notions, and applications. (Originally published 2014; revised 2021).

The argument from contingency for the existence of God is best understood as a request for an explanation of the total sequence of causes and effects in the universe (‘History’ for short). Many puzzles about how there could be such an explanation arise from the assumption that God is being introduced as one more cause prepended to the sequence of causes that (allegedly) needed explaining. In response to this difficulty, this chapter defends three theses. First, it argues that, if the (...) argument from contingency is to succeed, the explanation of History in terms of God must not be a causal explanation; second, that a particular hypothesis about God’s relation to History—that God is what I call the foundational ground of History—is intelligible and explanatory; third and finally, that the explanatory advantages of this hypothesis cannot be had within the confines of naturalism. (shrink)