Causal Overdetermination

British structural-functionalist anthropology famously faces an objection that it is incapable of dealing with the influence of wider processes. An analytical response to this objection, which at least needs to be registered, is that some wider processes can be ignored when there is causal overdetermination.

I consider the opening to a paper by Jerry Fodor referring to graffiti in the subway stations and what Helen Beebee once said about it in her essay writing guide. I used to just pass over that stuff, but now I find it may be more important.

This is a sketch of the basis and role of consciousness and the minimally required elements and constraints of any setting that may produce consciousness. It proposes that consciousness (as we know it) is a biologically-mediated product of evolved recursive and hierarchically nested representational systems that obey information theoretic principles and Bayesian (probabilistic) feedback and feedforward predictive modeling processes.

In this paper I present a metaphysically minimalist but theoretically strong version of fact causation, in which the causal relata constitute a full Boolean algebra, mirroring the entailment relation of the sentences that express them. I suggest a generalization of the notion of multiple realizability of causes in terms of specificity of facts, and employ this in an interpretation of what goes on in cases of apparently redundant causation.

This paper explores the prospects of employing a functional approach in order to improve our concept of actual causation. Claims of actual causation play an important role for a variety of purposes. In particular, they are relevant for identifying suitable targets for intervention, and they are relevant for our practices of ascribing responsibility. I argue that this gives rise to the challenge of purpose. The challenge of purpose arises when different goals demand adjustments of the concept that pull in opposing (...) directions. More specifically, I argue that a common distinction between certain kinds of preempted and preempting factors is difficult to motivate from an interventionist viewpoint. This indicates that an appropriately revised concept of actual causation would not distinguish between these two kinds of factors. From the viewpoint of retributivist responsibility, however, the distinction between preempted and preempting factors sometimes is important, which indicates that the distinction should be retained. (shrink)

The standard objection to dualist theories of mind is that they seemingly cannot account for the obvious fact that mental phenomena cause our behaviour. On the plausible assumption that all our behaviour is physically necessitated by entirely physical phenomena, there appears to be no room for dualist mental causation. Some argue that dualists can address this problem by making minimal adjustments in their ontology. I argue that no such adjustments are required. Given recent developments in philosophy of causation, it is (...) plausible that mental phenomena cause behaviour in standard dualist ontologies. (shrink)

The non-reductive physicalist would like to believe that mental properties are not identical to physical properties; that there are complete causal explanations of all events in terms of physical properties; and that there are sometimes explanations of events in terms of mental properties. However, some have argued that these claims cannot all be true, since they are collectively inconsistent with a principle of causal exclusion. In this paper I argue that the best formulation of the interventionist theory of causation entails (...) the falsity of the exclusion principle. However, I argue that it does so at the cost of revealing a weakness in the interventionist theory itself. (shrink)

Setting aside all exclusion-style worries about the redundancy of postulating additional, non-physical mental causes for effects that can already be explained in purely physical terms, dualists who treat mental properties as supervening on physical properties still face a further problem: in cases of mental-to-mental causation, they cannot avoid positing an implausibly coincidental coordination in the timing of the distinct causal processes terminating, respectively, in the mental effect and its physical base. I argue that this problem arises regardless of whether one (...) treats the mental cause as causing both the mental effect and its physical base, or whether one treats the latter as having instead been caused by some physical state, and that the problem also does not depend on which theory of causation one adopts. A third option of treating the mental cause and its physical base as producing the mental effect and its physical base by a single causal process that they both contribute to is found to come up short as well. (shrink)

Recently, there has been an increased interest in employing model-based definitions of actual causation in legal inquiry. The formal precision of such approaches promises to be an improvement over more traditional approaches. Yet model-based approaches are viable only if suitable models of legal cases can be provided, and providing such models is sometimes difficult. I argue that causal-model-based definitions benefit legal inquiry in an indirect way. They make explicit the causal assumptions that need to be made plausible to defend a (...) particular claim of actual causation. My argument concerns the analysis of legal cases involving a combination of double prevention and causal redundancy. I show that discussions among legal theorists about such cases sometimes suffer from ambiguous assumptions about the causal structure. My account illustrates that causal models can act as a heuristic tool for clarifying such assumptions, and that causal models provide a framework for more accurate analyses of legal cases involving complex causal structure. (shrink)

When evaluating theories of causation, intuitions should not play a decisive role, not even intuitions in flawlessly-designed thought experiments. Indeed, no coherent theory of causation can respect the typical person’s intuitions in redundancy (pre-emption) thought experiments, without disrespecting their intuitions in threat-and-saviour (switching/short-circuit) thought experiments. I provide a deductively sound argument for these claims. Amazingly, this argument assumes absolutely nothing about the nature of causation. I also provide a second argument, whose conclusion is even stronger: the typical person’s causal intuitions (...) are thoroughly unreliable. This argument proceeds by raising the neglected question: in what respects is information about intermediate and enabling variables relevant to reliable causal judgment? (shrink)

Jaegwon Kim argued that nonreductive physicalism faces the “exclusion problem” for higher-level causation, mental causation in particular. Roughly, the charge is that given the presumptive ubiquity of physical causation, there cannot be irreducible mental causes for physical effects. Since there are mental causes, Kim concluded that nonreductive physicalism should be rejected in favor of a more reductionist alternative according to which mental causes are just physical causes differently described. But why should mental causes be “excluded” in this way? Unfortunately, Kim (...) had less to say about this than one might expect. After reviewing some of Kim’s proposals, I suggest that the exclusion problem should be premised on nothing more or less than Occamist, simplicity-based considerations. I apply this conception of the exclusion problem to some prominent responses to Kim’s critique of nonreductive physicalism and argue that this conception mandates reconsidering the success of these responses. (shrink)

Analyses of factual causation face perennial problems, including preemption, overdetermination, and omissions. Arguably, the thorniest, are cases of omissive overdetermination, involving two independent omissions, each sufficient for the harm, and neither, independently, making a difference. A famous example is Saunders, where pedestrian was hit by a driver of a rental car who never pressed on the (unbeknownst to the driver) defective (and, negligently, never inspected) brakes. Causal intuitions in such cases are messy, reflected in disagreement about which omission mattered. What (...) these analyses mistakenly take for granted, is that at issue is the 'efficacy' of each omission. I argue, on the contrary, the puzzle of omissive overdetermination favors taking the act/omission distinction seriously. Factual causation, properly understood precludes omissions (i.e. omissions are not causal). Of course, the law also attaches liability to omissions, but this works differently from liability for real causes (e.g. omissions have a duty requirement, they also respond differentially to difference-making considerations). The manner in which liability attaches for omissions differs from that of straightforward causal liability, and is entirely dependent on the underlying causal structure. Attention to that structure (e.g. that the driver's hitting the pedestrian with his car is what actually caused the injury) sheds light on which omissions matter (e.g. driver's failure to press on the brakes) and why (because that failure removes a defense the driver would have to liability for the accident he caused). Other cases, where the parties' connection is entirely omissive (e.g. two physicians fail to detect independently lethal conditions), come out differently (tracking moralized elements). The analysis offered makes better sense of both why omissive determination cases are puzzling and how to resolve them. (shrink)

Nonreductive physicalism states that actions have sufficient physical causes and distinct mental causes. Nonreductive physicalism has recently faced the exclusion problem, according to which the single sufficient physical cause excludes the mental causes from causal efficacy. Autonomists respond by stating that while mental-to-physical causation fails, mental-to-mental causation persists. Several recent philosophers establish this autonomy result via similar models of causation :1031–1049, 2016; Zhong, J Philos 111:341–360, 2014). In this paper I argue that both of these autonomist models fail on account (...) of the problem of Edwards’s Dictum. However, I appeal to foundational principles of action theory to resuscitate mental-to-mental causation in a manner that is consistent with the models of causation endorsed by these autonomists. (shrink)

This chapter moves from the most fundamental parts of Aquinas’s metaphysics to Aquinas’s thought about the created world, and especially the way in which things in the created world are able to act as beings in their own right, without altering their dependence on the creator. The result is an account of the causality of creatures that does not impugn their connection to the more basic causality of the Deity and that allows this part of Aquinas’s account to be compatible (...) with accounts of causality in modern science. (shrink)

The Causal Exclusion Problem is raised in many domains, including in the metaphysics of macroscopic objects. If there is a complete explanation of macroscopic effects in terms of the microscopic entities that compose macroscopic objects, then the efficacy of the macroscopic will be threatened with exclusion. I argue that we can avoid the problem if we accept that macroscopic objects are ontically vague. Then, it is indeterminate which collection of microscopic entities compose them, and so information about microscopic entities is (...) insufficient to provide a complete explanation of certain properties of macroscopic objects. After outlining this solution, I consider several objections. (shrink)

A cause is proportional to its effect when, roughly speaking, it is at the right level of detail. There is a lively debate about whether proportionality is a necessary condition for causation. One of the main arguments against a proportionality constraint on causation is that many ordinary and seemingly perfectly acceptable causal claims cite causes that are not proportional to their effects. In this paper, I suggest that proponents of a proportionality constraint can respond to this objection by developing an (...) idea that is present in Yablo’s early work on proportionality, but which has strangely been ignored by both Yablo and others in the subsequent debate. My suggestion is that proportionality—and, indeed, causation itself—is relative to a domain of events. At the metaphysical level, this means that the causal relation has an extra relatum—namely, a domain of events. At the level of language, it introduces a new way in which causal claims are context-sensitive: what is expressed by a causal claim depends on the contextually relevant domain of events. As I argue, this suggestion allows us to accommodate the truth of ordinary causal claims while extending the explanatory benefits of a proportionality constraint. (shrink)

In this dissertation I develop a pluralist theory of actual causation. I argue that we need to distinguish between total, path-changing, and contributing actual causation. The pluralist theory accounts for a set of example cases that have raised problems for extant unified theories and it is supported by considerations about the various functions of causal concepts. The dissertation also analyses the context-sensitivity of actual causation. I show that principled accounts of causal reasoning in legal inquiry face limitations and I argue (...) that the context-sensitivity of actual causation is best represented by a distinction between default and deviant states in causal models. (shrink)

“Physical premotion” is a concept associated with Baroque Catholic theological debates concerning grace and freedom. In this paper, I present an argument that the entities identified in this debate, physical premotions, are necessary for any classical theist’s account of divine causality. A “classical theist” is a theist who holds both that God is simple, that is, without inhering properties, and that humans and God are both free in the incompatibilist sense. In fact, not only does the acceptance of physical premotions (...) not entail determinism, physical premotions are the only way for classical theists to preserve the aforementioned two commitments. Nevertheless, the theory of premotions cannot help theologians resolve questions of how God causes human free acts without violating their freedom. (shrink)

This book investigates what change is, according to Aristotle, and how it affects his conception of being. Mark Sentesy argues that change leads Aristotle to develop first-order metaphysical concepts such as matter, potency, actuality, sources of being, and the teleology of emerging things. He shows that Aristotle’s distinctive ontological claim—that being is inescapably diverse in kind—is anchored in his argument for the existence of change. -/- Aristotle may be the only thinker to have given a noncircular definition of change. When (...) he gave this definition, arguing that change is real was a losing proposition. To show that it exists, he had to rework the way philosophers understood reality. His groundbreaking analysis of change has long been interpreted through a Platonist lens, however, in which being is conceived as unchanging. Offering a comprehensive reexamination of the relationship between change and being in Aristotle, Sentesy makes an important contribution to scholarship on Aristotle, ancient philosophy, the history and philosophy of science, and metaphysics. (shrink)

Materialism, reductionism, behaviorism, functionalism, dynamic systems theory and computationalism are popular views, but they were shown by Wittgenstein to be incoherent. The study of behavior encompasses all of human life, but behavior is largely automatic and unconscious and even the conscious part, mostly expressed in language (which Wittgenstein equates with the mind), is not perspicuous, so it is critical to have a framework which Searle calls the Logical Structure of Rationality (LSR) and I call the Descriptive Psychology of Higher Order (...) Thought (DPHOT). After summarizing the framework worked out by Wittgenstein and Searle, as extended by modern reasoning research, I show the inadequacies in Carruther’s views, which pervade most discussions of behavior, including contemporary behavioral sciences. I maintain that his book is an amalgam of two books, one a summary of cognitive psychology and the other a summary of the standard philosophical confusions on the mind with some new jargon added. I suggest that the latter should be regarded as incoherent or as a cartoon view of life and that taking Wittgenstein at his word, we can practice successful self therapy by regarding the mind/body issue as a language/body issue. -/- Those wishing a comprehensive up to date framework for human behavior from the modern two systems view may consult my book ‘The Logical Structure of Philosophy, Psychology, Mind and Language in Ludwig Wittgenstein and John Searle’ 2nd ed (2019). Those interested in more of my writings may see ‘Talking Monkeys--Philosophy, Psychology, Science, Religion and Politics on a Doomed Planet--Articles and Reviews 2006-2019 3rd ed (2019), The Logical Structure of Human Behavior (2019), and Suicidal Utopian Delusions in the 21st Century 4th ed (2019) . (shrink)

Jaegwon Kim’s views on mental causation and the exclusion argument are evaluated systematically. Particular attention is paid to different theories of causation. It is argued that the exclusion argument and its premises do not cohere well with any systematic view of causation.

Ascribing moral responsibility in collective action cases is notoriously difficult. After all, if my individual actions make no difference with regard to the prevention of climate change, the alleviation of poverty, or the outcome of national elections, why ought I to stop driving, donate money, or cast my vote? Neither consequentialist nor non-consequentialist moral theories have straightforward responses ready at hand. In this contribution, I present a new suggestion which, based on thoughts about causal overdetermination along the lines of Mackie’s (...) INUS account, aims to show that causally overdetermined collective action cases are morally arbitrary in a way that makes it possible to ascribe moral responsibility even if individual actions make no difference. (shrink)

Widespread causal overdetermination is often levied as an objection to nonreductive theories of minds and objects. In response, nonreductive metaphysicians have argued that the type of overdetermination generated by their theories is different from the sorts of coincidental cases involving multiple rock-throwers, and thus not problematic. This paper pushes back. I argue that attention to differences between types of overdetermination discharges very few explanatory burdens, and that overdetermination is a bigger problem for the nonreductive metaphysician than previously thought.

This paper argues that so-called “trumping preemption” is in fact overdetermination or early preemption, and is thus not a distinctive form of redundant causation. I draw a novel lesson from cases thought to be trumping: that the boundary between preemption and overdetermination should be reconsidered.

Jaegwon Kim’s influential exclusion argument attempts to demonstrate the inconsistency of nonreductive materialism in the philosophy of mind. Kim’s argument begins by showing that the three main theses of nonreductive materialism, plus two additional considerations, lead to a specific and familiar picture of mental causation. The exclusion argument can succeed only if, as Kim claims, this picture is not one of genuine causal overdetermination. Accordingly, one can resist Kim’s conclusion by denying this claim, maintaining instead that the effects of the (...) mental are always causally overdetermined. I call this strategy the ‘ overdetermination challenge’. One of the main aims of this paper is to show that the overdetermination challenge is the most appropriate response to Kim’s exclusion argument, at least in its latest form. I argue that Kim fails to adequately respond to the overdetermination challenge, thus failing to prevent his opponents from reasonably maintaining that the effects of the mental are always causally overdetermined. Interestingly, this discussion reveals a curious dialectical feature of Kim’s latest response to the overdetermination challenge: if it succeeds, then a new, simpler and more compact version of the exclusion argument is available. While I argue against the consequent of this conditional, thereby also rejecting the antecedent, this dialectical feature should be of interest to philosophers on either side of this debate. (shrink)

An actual cause of some token effect is itself a token event that helped to bring about that effect. The notion of an actual cause is different from that of a potential cause – for example a pre-empted backup – which had the capacity to bring about the effect, but which wasn't in fact operative on the occasion in question. Sometimes actual causes are also distinguished from mere background conditions: as when we judge that the struck match was a cause (...) of the fire, while the presence of oxygen was merely part of the relevant background against which the struck match operated. Actual causation is also to be distinguished from type causation: actual causation holds between token events in a particular, concrete scenario; type causation, by contrast, holds between event kinds in scenario kinds. (shrink)

Causal decision theory defines a rational action as the one that tends to cause the best outcomes. If we adopt counterfactual or probabilistic theories of causation, then we may face problems in overdetermination cases. Do such problems affect Causal decision theory? The aim of this work is to show that the concept of causation that has been fundamental in all versions of causal decision theory is not the most intuitive one. Since overdetermination poses problems for a counterfactual theory of causation, (...) one can think that a version of causal decision theory based on counterfactual dependence may also be vulnerable to such scenarios. However, only when an intuitive, not analyzed notion of causation is presupposed as a ground for a more plausible version of causal decision theory, overdetermination turns problematic. The first interesting consequence of this is that there are more reasons to dismiss traditional theories of causation (and to accept others). The second is to confirm that traditional causal decision theory is not based on our intuitive concept of the causal relation. (shrink)

For over 20 years, Jaegwon Kim’s Causal Exclusion Argument has stood as the major hurdle for non-reductive physicalism. If successful, Kim’s argument would show that the high-level properties posited by non-reductive physicalists must either be identical with lower-level physical properties, or else must be causally inert. The most prominent objection to the Causal Exclusion Argument—the so-called Overdetermination Objection—points out that there are some notions of causation that are left untouched by the argument. If causation is simply counterfactual dependence, for example, (...) then the Causal Exclusion Argument fails. Thus, much of the existing debate turns on the issue of which account of causation is appropriate. In this paper, however, I take a bolder approach and argue that Kim’s preferred version of the Causal Exclusion Argument fails no matter what account one gives of causation. Any notion of causation that is strong enough to support the premises of the argument is too strong to play the role required in the logic of the argument. I also consider a second version of the Causal Exclusion Argument, and suggest that although it may avoid the problems of the first version, it begs the question against a particular form of non-reductive physicalism, namely emergentism. (shrink)

In Making Things Happen, James Woodward influentially combines a causal modeling analysis of actual causation with an interventionist semantics for the counterfactuals encoded in causal models. This leads to circularities, since interventions are defined in terms of both actual causation and interventionist counterfactuals. Circularity can be avoided by instead combining a causal modeling analysis with a semantics along the lines of that given by David Lewis, on which counterfactuals are to be evaluated with respect to worlds in which their antecedents (...) are realized by miracles. I argue, pace Woodward, that causal modeling analyses perform just as well when combined with the Lewisian semantics as when combined with the interventionist semantics. Reductivity therefore remains a reasonable hope. (shrink)

Unlike any other monograph on legal liability, Michael S. Moore’s book CAUSATION AND RESPONSIBILITY contains a well-informed and in-depth discussion of the metaphysics of causation. Moore does not share the widespread view that legal scholars should not enter into metaphysical debates about causation. He shows respect for the subtleties of philosophical debates on causal relata, identity conditions for events, the ontological distinctions between events, states of affairs, facts and tropes, and the counterfactual analysis of event causation, and he considers all (...) these issues relevant to law. In this contribution, I defend an amended version of the COUNTERFACTUAL theory of event causation both against Moore’s criticism and against some traits of Lewis’s version of the theory. On a number of counts, I simply defend Lewis against Moore’s misdirected criticism. Moore’s unreasonable demand that all the commonplaces about causation have to FOLLOW from the counterfactual analysis rests on his mistaken claim that the counterfactual theory IDENTIFIES causation with counterfactual dependence. In other respects, I part company with Lewis in order to highlight some underrated strengths of the counterfactual approach. The common denominator of my revisions is that they make the counterfactual theory unambiguously singularist. The suggested revisions comprise: performing the counterfactual analysis with Davidsonian rather than with Lewisian events, taking seriously the ex post-character of singular causal statements, making explicit the indexical ceteris paribus clause that fixes the actual circumstances of the causing event, abandoning the alleged transitivity of causation, and, last but not least, doing everything in the correct order. The correct order is to start with bedrock intuitions about the nature of causality rather than with a general possible world semantics, and then to turn these intuitions into constraints for the class of counterfactuals that a counterfactual analysis of causation has to consider. (shrink)

The Exclusion Problem for mental causation suggests that there is a tension between the claim that the mental causes physical effects, and the claim that the mental does not overdetermine its physical effects. In response, Karen Bennett puts forward an extra necessary condition for overdetermination : if one candidate cause were to occur but the other were not to occur, the effect would still occur. She thus denies one of the assumptions of EP, the assumption that if an effect has (...) two sufficient causes, it is overdetermined. If sound, her argument does two things: it solves EP, and it shows how to use counterfactuals in order to make the notion of overdetermination precise. However, the argument is not sound. (shrink)

Sydney Shoemaker's "Subset Account" offers a new take on determinable properties and the realization relation as well as a defense of non-reductive physicalism from the problem of mental causation. At the heart of this account are the claims that (1) mental properties are determinable properties and (2) the causal powers that individuate a determinable property are a proper subset of the causal powers that individuate the determinates of that property. The second claim, however, has led to the accusation that the (...) effects caused by the instantiation of a determinable property will also be caused by the instantiation of the determinates of that property—so instead of solving the problem of mental causation, the Subset Account ends up guaranteeing that the effects of mental properties (and all other types of determinable property) will be causally overdetermined! In this paper, I explore this objection. I argue that both sides in this debate have failed to engage the question at the heart of the objection: Given that both a determinable property and its determinates have the power to cause some effect (E), does it follow that both will actually cause E when the relevant conditions obtain? To make genuine progress towards answering this question, we need to take a serious look at the metaphysics of causation. With the debate properly reframed and issues about the metaphysics of causation front and center, I explore the question of whether the Subset Account is doomed to result in problematic causal overdetermination. (shrink)

How can consciousness, how can the mind be causally efficacious in a world which seems—in some sense—to be thoroughly governed by physical causality? Mental causation has been a nagging problem in philosophy since the beginning of the modern age, when, inspired by the rise of physics, a metaphysical picture became dominant according to which the manifest macrophysical world of rocks, trees, colors, sounds etc. could be eliminated in favor of, or identified with, the microconstituents of these entities and their basic (...) physical properties, plus their effects on human or animal minds. Against the background of this ontology, the argument from causal closure, or the causal completeness of physics, exerts strong pressure to also identify consciousness with microphysical entities—or even to eliminate it in favor of the latter—the only other options apparently being either the denial of the causal closure of the physical level, epiphenomenalism about the mind, or the view that its physical effects are generally overdetermined. In this paper, however, I want to introduce what I call the “microstructure view” (MV) of the brain-consciousness relation, and I want to try to make plausible that the problem of mental causation can also be solved, or perhaps rather dissolved, on the basis of this account. On the MV, the minimal neuronal correlates of consciousness—of the global state of consciousness, or specific states of consciousness such as pain—are not identical with these states, but rather constitute their microstructure, or, as I shall also say, equivalently, compose them. (shrink)

Despite recent efforts to improve on counterfactual theories of causation, failures to explain how effects depend on their causes are still manifest in a variety of cases. In particular, theories that do a decent job explaining cases of causal preemption have problems accounting for cases of causal intransitivity. Moreover, the increasing complexity of the counterfactual accounts makes it difficult to see why the concept of causation would be such a central part of our cognition. In this paper, I propose an (...) account of our causal thinking that not only explains the hitherto puzzling variety of causal judgments, but also makes it intelligible why we would employ such an elusive concept. (shrink)

This paper is about the causal exclusion argument against non-reductive physicalism. Many philosophers think that this argument poses a serious problem for non-reductive theories of the mind — some think that it is decisive against them. In the first part I will outline non-reductive physicalism and the exclusion argument. Then I will distinguish between three versions of the argument that address three different versions of non-reductive physicalism. According to the first, the relation between mental and physical events is token-identity. According (...) to the second, mental events are distinct from physical events, but the latter metaphysically include and determine the former. And on the third version, mental and physical events are entirely distinct. I will argue that the causal exclusion argument is not decisive against non-reductive physicalism in any of the three versions. According to non-reductive physicalism, mental events are dependent on physical events. Causal exclusion and overdetermination, however, requires distinct and independent causes. I will argue that the burden of proof lies with the opponents of non-reductive physicalism, who have to explain how metaphysically dependent events can possibly overdetermine an effect or exclude each other from being causally efficacious. (shrink)

This paper presents an irreducibly inductive argument for physicalism based on the causal closure of the physical (for which it argues), and defends it against various detractors.

In ‘The Mental Causation Debate’ (1995), I pointed out the parallel between the premises in some traditional arguments for physicalism and the assumptions which give rise to the problem of mental causation. I argued that the dominant contemporary version of physicalism finds mental causation problematic because it accepts the main premises of the traditional arguments, but rejects their conclusion: the identification of mental with physical causes. Moreover, the orthodox way of responding to this problem (which I call the ‘constitution view’) (...) implicitly rejects an assumption hidden in the original argument for physicalism: the assumption that mental and physical causation are the same kind of relation (‘homogeneity’). The conclusion of my paper was that if you reject homogeneity, then there is no obvious need for an account of the relation between mental and physical properties. (shrink)