Jonathan Schaffer

Orthodoxy has it that only metaphysically elite properties can be invoked in scientifically elite laws. We argue that this claim does not fit scientific practice. An examination of candidate scientifically elite laws like Newton’s F = ma reveals properties invoked that are irreversibly defined and thus metaphysically non-elite by the lights of the surrounding theory: Newtonian acceleration is irreversibly defined as the second derivative of position, and Newtonian resultant force is irreversibly defined as the sum of the component forces. We think that scientists are happy to invoke metaphysically non-elite properties in scientifically elite laws for reasons of convenience, such as to simplify the equations and to make them more modular. On this basis, we draw a deflationary moral about laws themselves, as being merely convenient summaries. 1 Introduction2 Orthodoxy2.1 Orthodoxy stated2.2 Orthodoxy explained2.3 A worrisome commitment: Term objectivism3 The Loose View3.1 The argument from practice3.2 Finding the scientifically elite equations3.3 Diagnosing the metaphysically non-elite properties3.4 Situating our challenge4 Newtonian Mechanics4.1 Newtonian acceleration4.2 Newtonian resultant force4.3 A metaphysical discovery?5 Objections5.1 Metaphysically elite after all?5.2 Scientifically non-elite after all?5.3 But our world is not Newtonian!6 Consequences6.1 Consequences for the motivations for link6.2 Consequences for metaphysically elite properties6.3 Consequences for lawhood.

Quantum mechanics seems to portray nature as nonseparable, in the sense that it allows spatiotemporally separated entities to have states that cannot be fully specified without reference to each other. This is often said to implicate some form of “holism.” We aim to clarify what this means, and why this seems plausible. Our core idea is that the best explanation for nonseparability is a “common ground” explanation, which casts nonseparable entities in a holistic light, as scattered reflections of a more unified underlying reality.

Non-Humean accounts of lawhood are said to founder on the Inference Problem, which is the problem of saying how laws that go beyond the regularities can entail the regularities. I argue that the Inference Problem has a simple solution – the Axiomatic Solution – on which the non-Humean only needs to outfit her laws with a law-to-regularity axiom. There is a remaining Epistemic Bulge, as to why one should believe that the posit-so-axiomatized is to be found in nature, but the non-Humean can flatten the bulge. Lawhood serves as a case study of how fundamental posits can do their business.

In _A Companion to David Lewis_, Barry Loewer and Jonathan Schaffer bring together top philosophers to explain, discuss, and critically extend Lewis's seminal work in original ways. Students and scholars will discover the underlying themes and complex interconnections woven through the diverse range of his work in metaphysics, philosophy of language, logic, epistemology, philosophy of science, philosophy of mind, ethics, and aesthetics. The first and only comprehensive study of the work of David Lewis, one of the most systematic and influential philosophers of the latter half of the 20th century Contributions shed light on the underlying themes and complex interconnections woven through Lewis's work across his enormous range of influence, including metaphysics, language, logic, epistemology, science, mind, ethics, and aesthetics Outstanding Lewis scholars and leading philosophers working in the fields Lewis influenced explain, discuss, and critically extend Lewis's work in original ways An essential resource for students and researchers across analytic philosophy that covers the major themes of Lewis's work

Properties come in clusters. It seems impossible, for instance, that a mass could float free, unattached to any other property. David Armstrong takes this as a reductio of the bundle theory and an argument for substrata, while Peter Simons and Arda Denkel reply by supplementing the bundle theory with accounts of property interdependencies. I argue against both views. Virtually all plausible ontologies turn out to be committed to the existence of free masses. I develop and defend the view that the clustering of properties is a mere contingent truth, on grounds that properties can be subtracted one‐by‐one. This opens the door not just to the (unsupplemented) bundle theory, but also to any plausible account of the relation between objects and properties.

Two of the assumptions that drive most contemporary philosophy of mind are the naturalistic thesis that minds, like mountains and molecules, are macro-objects in the natural order, involving nothing ‘spooky’, and a three-part taxonomy that recognizes substance dualism, property dualism, and monism as the available metaphysical options. Together, these assumptions drive most contemporary philosophers of mind to either monism of the materialistic stripe, or to a version of property dualism that treats mental properties on par with other macro-properties.

This chapter makes the general case for metaphysics as a required partner to cognitive science in the debunking project, for providing an external standard to assess intuitions. It considers the specific case studies of color, temporal passage, and spatial unity. These illustrate the general role of metaphysics in debunking, while also shedding more light on the interplay between cognitive science and metaphysics. There is also a sense in which cognitive science might be thought to have something very specific to say just about metaphysics. Talk of intuitions is only coming in as a mediator between these two claims: the claims in metaphysics that are potentially open to debunking are intuitions, and cognitive science is relevant to the debunking of these very intuitions. What emerges from this paradigm case of a belief that needs debunking are three crucial and interconnected aspects of the debunking project: psychological aspect; metaphysical aspect; and epistemological aspect.

David Lewis tends to use the notion of knowledge in an intuitive way, and it is the burden of his contextualist relevant alternatives theory to fit this intuitive usage. The chapter begins with a review of Lewis's contribution to the theory of knowledge. This involves presenting both his elegant version of relevant alternatives theory, and his detailed version of contextualism, and then displaying the combined account and its claimed virtues. The relevance of a possibility at a context is determined by all and only the rules of Actuality, Belief, Resemblance, Reliability, Method, Conservatism, and Attention. The main virtue which Lewis claims for Lewisian knowledge ascription is that of reconciling infallibilism with anti‐skepticism. It should be stressed that the intensional framework, as developed by Lewis and others, represents the best developed semantic framework to date. The relevant alternatives theory can extend very smoothly to at least some potential successor frameworks.

You drop the glass. It shatters. Here there are two distinct events, related by causation. What is this relation? ;I argue that the causal relation is best understood as the relation of being a probability-raiser of a process. I take the causal relata to be property instances at spatiotemporal regions, analyze the notion of a process in terms of sequences of events related by nomic subsumption , and understand probability-raising as counterfactual chance dependence in the style of David Lewis. Thus causes are understood as property instances on which the sequence of property instances constituting the lawful production of the effect depends. ;The understanding of causation offered here synthesizes the leading extant analyses of causation, which divide into probability-raising and process-linkage . I argue that the synthesis offered improves on its predecessors by developing a series of four problem cases: preemption, which shows causation without probability-raising, overlapping, which shows probability-raising without causation, double prevention, which shows causation without process-linkage, and mere traces, which shows process-linkage without causation. These objections interlock: the preempting cause and trace noncause are both process-linked to, but not probability-raising of, their alleged effects, while the double preventing cause and overlapping noncause are both probability-raising of, but not process-linked to, their alleged effects. Understanding causes as probability-raisers of processes resolves this problematic. A continuity requirement is then added which preserves these solutions, renders the relation continuous and transitive, and resolves a further problem case combining preemption and double-prevention involving causation without probability-raising or process-linkage