Causal Realism

Hume was correct in his critique of causation as understood by the New Science, a critique deadly to both causal and scientific realism. Getting beyond Hume's critique of causation requires that we call into question the New Science's understanding of causation and replace it with a Neo-Aristotelian account of causal processes. In this paper, I try to point the way to such an account.

Philosophical analyses of causation have been centred on the question of what causation is. More precisely speaking, philosophers tend to address four different issues: metaphysical (what is causation out there?), epistemological (how can a causal claim be established and assessed?), conceptual (what does the word ‘cause’ mean?), and methodological (what methods ought one to use in order to establish and assess causal claims?). This chapter argues that the practical issue of causation (what is a causal claim for in practice?) is (...) highly relevant to the metaphysical, epistemological, conceptual, and methodological issues of causation. Any philosophical enquiry into causation without an examination of this practical issue is incomplete. In other words, a promising approach to causation ought to take all of the metaphysical, epistemological, conceptual, methodological, and practical issues into account. (shrink)

We examine Sophie Gibb’s emergent property-dualist theory of mental causation as double-prevention. Her account builds on a commitment to a version of causal realism based on a powers metaphysic. We consider three objections to her account. We show, by drawing out the implications of the ontological commitments of Gibb’s theory of mental causation, that the first two objections fail. But, we argue, owing to worries about cases where there is no double-preventive role to be played by mental properties, her account, (...) which solely affords mental properties a double-preventive role, is incomplete and vulnerable to a causal exclusion objection. We propose a friendly modification to her theory of mental causation that is consistent with her theory’s ontological commitments. Specifically, we sketch an account on which mental properties have a more pronounced causal-structuring role that is not exhausted by the role Gibb assigns them as double-preventers. The result is a novel emergentist theory of mental causation. (shrink)

Analyzing causation in terms of Woodward's interventionist theory and describing the structure of the world in terms of causal powers are usually regarded as quite different projects in contemporary philosophy. Interventionists aim to give an account of how causal relations can be empirically discovered and described, without committing themselves to views about what causation really is. Causal powers theorists engage in precisely the latter project, aiming to describe the metaphysical structure of the world. In this paper, I argue that interventionism (...) can benefit from incorporating considerations about causal powers. I describe a previously undiscussed problem for Woodward's definition of an intervention variable that arises when interventionist causal models include disjunctive variables. This problem is solved not by excluding disjunctive (or logically compound) variables per se, but by excluding variables whose values represent disjunctions of too different causal powers. This suggests that interventionism and causal powers theories may be less distant from each other than is often assumed. (shrink)

Purpose: The purpose of the discussion is to call for an experimental trial in order to optimize the sociology of knowledge in the astronomical and cosmological sciences from a cognitive science and developmental psychology perspective. The potential of such experimental trial may also correlate developmental psychology with cosmology and astrophysics, therefore, contribute to public health from an astrobiological perspective. -/- Method: The discussion adopts a philosophizing method for the multidisciplinary and trans-disciplinary proposal, with the hypothesis that proton decay in cosmology (...) is correlative to neuronal development in human biochemistry. The method adopts a humanitarian paradigm of pragmatism in natural mutation from cosmic changes, in an exploratory heuristics for hydro-sampling of mutational potentials from environmental factors in cosmological large-scale structure. -/- Result: With an initial assessment on existing technologies, the potentials of the big data trend in astronomy and astrophysics can be applied to data analysis with solid-state electrolytes in sensor baselines to nuclear medicine methods. (shrink)

Powers, capacities and dispositions (in what follows I will use these terms synonymously) have become prominent in recent debates in metaphysics, philosophy of science and other areas of philosophy. In this paper I will analyse in some detail a well-known argument from scientific practice to the existence of powers/capacities/dispositions. According to this argument the practice of extrapolating scientific knowledge from one kind of situation to a different kind of situation requires a specific interpretation of laws of nature, namely as attributing (...) dispositions to systems. My main interest will be to discuss what characteristics these dispositions need to have in order to account for the scientific practice in question. I will furthermore assess whether the introduction of dispositions in the context of the extrapolation argument can be described as a ‘revitalization’ or as a ‘return’ to those notions repudiated by early modern philosophers. More particularly I will argue for the following claims: I. In repudiating scholastic terminology, including substantial forms with their causal powers, post-cartesian philosophers focussed on a concept of causation that was much stronger than 21st century conceptions of causation. For this reason alone, whatever ‘causal’ is supposed to mean in today’s causal powers, embracing causal powers is not a simple return to a pre-cartesian notion. II. The dispositions presupposed in scientific practice need not (and should not) be construed in causal terms (whether strong or weak). III. While some early modern philosophers contrasted the characterisation of the natural world in terms of substantial forms (and their causal powers) on the one hand and a mathematical characterization on the other and suggested that these approaches are incompatible, the dispositions postulated by the extrapolation argument to account for scientific practice are themselves characterized in mathematical terms. More precisely: The behaviour the systems are disposed to display is – at least in physics – often characterized in mathematical terms. IV. The dispositions assumed in the law-statements in scientific practice are determinable rather than determinate properties. (shrink)

Some argue that time’s causal arrow is grounded in an underlying thermodynamic asymmetry. Often, this is tied to Humean skepticism that causes produce their effects, in any robust sense of ‘produce’. Conversely, those who advocate stronger notions of natural necessity often reject thermodynamic reductions of time’s causal arrow. Against these traditional pairings, I argue that ‘reduction-plus-production’ is coherent. Reductionists looking to invoke robust production can insist that there are metaphysical constraints on the signs of objects’ velocities in any state, given (...) other—including far later—states’ properties. The Past Hypothesis may thus be a metaphysical condition, not a physical law. (shrink)

This essay provides an interpretation of Hume’s “two definitions” of causation. It argues that the two definitions of causation must be interpreted in terms of Hume’s fundamental ontological distinction between perceptions and (material) objects. Central to Hume’s position on this subject is the claim that, while there is a natural tendency to suppose that there exist (metaphysical) causal powers in objects themselves, this is a product of our failure to distinguish perceptions and objects. Properly understood, our idea of causation involves (...) no suggestion that there is anything more to causation among objects themselves than constant conjunction. A new appendix is added, discussing the relevance of this interpretation to the recent debate concerning Hume’s “causal realism.” -/- [The original of this article was published in HUME STUDIES 10 (1984), 1 - 25, with corrections added separately in the following issue.]. (shrink)

As there is currently a neo-Aristotelian revival currently taking place within contemporary metaphysics and dispositions, or causal powers are now being routinely utilised in theories of causality and modality, more attention is beginning to be paid to a central Aristotelian concern: the metaphysics of substantial unity, and the doctrine of hylomorphism. In this paper, I distinguish two strands of hylomorphism present in the contemporary literature and argue that not only does each engender unique conceptual difficulties, but neither adequately captures the (...) metaphysics of Aristotelian hylomorphism. Thus both strands of contemporary hylomorphism, I argue, fundamentally misunderstand what substantial unity amounts to in the hylomorphic framework – namely, the metaphysical inseparability of matter and form. (shrink)

How, if at all, consciousness can be part of the physical universe remains a baffling problem. This article outlines a new, developing philosophical theory of how it could do so, and offers a preliminary mathematical formulation of a physical grounding for key aspects of the theory. Because the philosophical side has radical elements, so does the physical-theory side. The philosophical side is radical, first, in proposing that the productivity or dynamism in the universe that many believe to be responsible for (...) its systematic regularities is actually itself a physical constituent of the universe, along with more familiar entities. Indeed, it proposes that instances of dynamism can themselves take part in physical interactions with other entities, this interaction then being “meta-dynamism” (a type of meta-causation). Secondly, the theory is radical, and unique, in arguing that consciousness is necessarily partly constituted of meta-dynamic auto-sensitivity, in other words it must react via meta-dynamism to its own dynamism, and also in conjecturing that some specific form of this sensitivity is sufficient for and indeed constitutive of consciousness. The article proposes a way for physical laws to be modified to accommodate meta-dynamism, via the radical step of including elements that explicitly refer to dynamism itself. Additionally, laws become, explicitly, temporally non-local in referring directly to quantity values holding at times prior to a given instant of application of the law. The approach therefore implicitly brings in considerations about what information determines states. Because of the temporal non-locality, and also because of the deep connections between dynamism and time-flow, the approach also implicitly connects to the topic of entropy insofar as this is related to time. (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)

I argue that the best interpretation of the general theory of relativity has need of a causal entity, and causal structure that is not reducible to light cone structure. I suggest that this causal interpretation of GTR helps defeat a key premise in one of the most popular arguments for causal reductionism, viz., the argument from physics.

Interpreters of Hume on causation consider that an advantage of the ‘quasi-realist’ reading is that it does not commit him to scepticism or to an error theory about causal reasoning. It is unique to quasi-realism that it maintains this positive epistemic result together with a rejection of metaphysical realism about causation: the quasi-realist supplies an appropriate semantic theory in order to justify the practice of talking ‘as if’ there were causal powers in the world. In this paper, I problematise the (...) quasi-realist reading of Hume on causation by showing how quasi-realism does not speak to inductive scepticism. I also offer evidence that Hume takes inductive scepticism to result from his theory of causation, and that his scepticism is tied to his rejection of metaphysical causal realism. (shrink)

This paper is a partial defence of presentism against the argument from cross-time relations. It is argued, first, that the Aristotelian view of causation and persistence does not really depict these phenomena in terms of relations between entities existing at different times, and indeed excludes the possibility of such cross-time relations obtaining. Second, it is argued that to reject the existence of the past—and thereby be unable to ground the truth of claims about the past—does not lead to any absurd (...) consequences. (shrink)

Mario Bunge’s Causality and Modern Science is arguably one of the best treatments of the causal realist tradition ever to have been written, one that defends the place of causality as a category in the conceptual framework of modern science. And yet in the current revival of causal realism in contemporary metaphysics, there is very little awareness of Bunge’s work. This paper seeks to remedy this, by highlighting one particular criticism Bunge levels at the Aristotelian view of causation and illustrating (...) its relevance for contemporary powers-based accounts. Roughly, the Aristotelian view depicts interactions between objects as involving a unidirectional exertion of influence of one object upon another. This idea of unidirectional action is central to the Aristotelian distinction between active and passive powers, and its corresponding distinction between active and passive objects. As Bunge points out, modern physics does not recognise the existence of any unidirectional actions at all; all influence comes in the form of reciprocal action, or interaction. If this is right, all notions deriving from or influenced by the idea of unidirectional actions—such as the concept of mutual manifestation and reciprocal disposition partners—risk being false by the same measure. Bunge drew the conclusion that the Aristotelian view is ontologically inadequate, but still advocated its use as the most useful approximation available in science. He considered, but ultimately rejected the possibility of a modified view of causation built on reciprocal action, because, in his view, it couldn’t account for the productivity of causation. Bunge’s critique of this particular aspect of the Aristotelian view cannot be overlooked in contemporary metaphysics, but it is possible to construe a modified view of causation that takes the reciprocity of interactions seriously without loss of productivity. (shrink)

This paper argues that causal idealism, the view that causation is a product of mental activity, should be considered a competetitor to contemporary views that incorporate human thought and agency into the causal relation. Weighing contextualism, contrastivism, or pragmatism about causation against causal idealism results in at least a tie with respect to the virtues of these theories.

There has been much discussion of powers or real dispositions in the past decade, but there remains an issue that has been inadequately treated. This concerns the precise modal value that comes with dispositionality. We contend in this paper that dispositionality involves a non-alethic, sui generis, irreducible modality. Dispositions only tend towards their manifestations; they do not necessitate them. Tendency is, of course, a dispositional term itself, so this last statement offers little by way of illumination. But given our thesis (...) on the irreducible nature of dispositionality, we maintain that it cannot be explicated correctly in non-dispositional terms. Nevertheless, we all have experience of dispositionality at work, through the exercise or our own powers and the action of other powers upon us. The notion of dispositionality that we acquire is one that involves a modality stronger than pure contingency but weaker than necessity. The recognition of this distinct modal value for dispositionality is one of the biggest oversights in the growing literature in the area. Yet it is there for all to see in even the most mundane example. (shrink)

Hume thought that if you believed in powers, you believed in necessary connections in nature. He was then able to argue that there were none such because anything could follow anything else. But Hume wrong-footed his opponents. A power does not necessitate its manifestations: rather, it disposes towards them in a way that is less than necessary but more than purely contingent. -/- In this paper a dispositional theory of causation is offered. Causes dispose towards their effects and often produce (...) them. But a set of causes, even though they may succeed in producing an effect, cannot necessitate it since the effect could have been counteracted by some additional power. This would require a separation of our concepts of causal production and causal necessitation. The most conspicuous cases of causation are those where powers accumulate and pass a requisite threshold for an effect to occur. -/- We develop a model for representing powers as constituent vectors within an n-dimensional quality space, where composition of causes appears as vector addition. Even our resultant vector, however, has to be understood as having dispositional force only. This model throws new light on causal modality and cases of prevention, causation by absence and probabilistic causation. (shrink)

This paper defends the view that Newtonian forces are real, symmetrical and non-causal relations. First, I argue that Newtonian forces are real; second, that they are relations; third, that they are symmetrical relations; fourth, that they are not species of causation. The overall picture is anti-Humean to the extent that it defends the existence of forces as external relations irreducible to spatio-temporal ones, but is still compatible with Humean approaches to causation (and others) since it denies that forces are a (...) species of causation. (shrink)

In this essay, I present the basics of Spinoza’s ontology and attempt to go some distance toward clarifying its most pertinent problems. I start by considering the relationship between the concepts of substance and mode; my aim is to show that despite his somewhat peculiar vocabulary there is much here that we should find rather familiar and intelligible, as Spinoza’s understanding of these matters harks back to the traditional distinction of substance and accident, or thing and property. After this I (...) move on to fitting the concept of attribute into Spinoza’s conceptual architecture, and then examine the implications concerning real existents and causation that Spinoza sees these fundamental conceptual commitments as having. The most startling of these implications is of course his monism, according to which there is only one substance. Through this examination it becomes clear that it is only when Spinoza makes the transition from considerations concerning concepts to existential claims that the collision with what was previously commonly accepted becomes inevitable. (shrink)

The problem causation poses is: how can we ever know more than a Humean regularity. The problem consciousness poses is: how can subjective phenomenal experience arise from something lacking experience. A recent turn in the consciousness debates suggest that the hard problem of consciousness is nothing more than the Humean problem of explaining any causal nexus in an intelligible way. This involution of the problems invites comparison with the theories of Alfred North Whitehead, who also saw them related in this (...) way. According to Whitehead, a tempting but false phenomenology of consciousness obscures temporality and leads to the causation problem, which then makes consciousness itself seem causally inexplicable. Bringing the processual nature of consciousness back into view discloses causation at work in the moment-to-moment emergence of consciousness, and it reveals that causation operates in a logically fuzzy domain where the skeptical critique of causality finds no foothold. (shrink)

Spinoza’s conatus doctrine, the main proposition of which claims, “[e]ach thing, to the extent it is in itself, strives [conatur] to persevere in its being” (E3p6), has been the subject of growing interest. This is understandable, for Spinoza’s psychology and ethics are based on this doctrine. In my paper I shall examine the way Spinoza argues for E3p6 in its demonstration which runs as follows: "For singular things are modes by which God’s attributes are expressed in a certain and determinate (...) way (by 1p25c), i.e. (by 1p34), things that express, in a certain and determinate way, God’s power, by which God is and acts. And no thing has anything in itself by which it can be destroyed, or which takes its existence away (by p4). On the contrary, it is opposed to everything which can take its existence away (by p5). Therefore, to the extent it can, and is in itself, it strives to persevere in its being." This argument has been severely criticized for being defective in many ways. E3p6d contains four items, E1p25c, 1p34, 3p4, and 3p5. Most often, only the two last mentioned are regarded as doing any real work in the demonstration. However, I shall argue that having a proper grasp of Spinoza’s concept of power enables us see that the demonstration’s beginning, built on E1p25c and 1p34, brings forth a certain dynamic framework in which finite things are centers of causal power, capable of producing effects in virtue of their essences. My examination of this framework shows the beginning of the demonstration to be irreplaceable: in the end, conatus is one form of power, and E1p25c and 1p34 not only bring the notion of power into play, but also inform us on how finite things’ power should be understood in the monistic system. So, I disagree with such commentators as Jonathan Bennett, Edwin Curley, Daniel Garber, Michael Della Rocca, and Richard Manning, who see Spinoza as trying to derive the conatus doctrine from E3p4 and 3p5 alone; and I agree with Alexandre Matheron, Henry Allison, and Martin Lin, who stress the importance of E1p25c and 1p34. -/- However, this still leaves us the task of reconstructing the whole derivation and showing how its various ingredients fit together. If E1p25c and 1p34 are so important, could E3p6 not be derived from them alone, as Martin Lin has argued? In other words, why are E3p4 and 3p5 needed at all? To answer these questions I shall provide an interpretation of E3p6d that explains how the argument is supposed to work. E1p25c and 1p34 say that finite things are, in essence, dynamic causers, which, in case of opposition, truly resist opposing factors with their power and do not simply cease their causal activities whenever facing obstacles; in other words, they strive against any opposition. However, this is not enough to guarantee that they could not act self-destructively or restrain their own power, which would make them incapable of self-preservation. But this would go against E3p4, “No thing can be destroyed except through an external cause,” and Spinoza uses it to claim, “no thing has anything in itself by which it can be destroyed, or which takes its existence away.” So all this allows Spinoza to hold that finite things are consistent causers, that is, entities endowed with power and, insofar they cause effects solely in virtue of their essence, they never use their power self-destructively. The significance and role of the final item in the demonstration, E3p5 (“Things are of a contrary nature, i.e., cannot be in the same subject, insofar as one can destroy the other”), still needs to be determined. Indeed, considering its content and the way it is used in the demonstration, it seems to be a surprisingly decisive ingredient in the argument. Namely, what “each thing, to the extent it is in itself,” that is, insofar as any thing is considered disregarding everything external to it, strives to preserve, is its being (esse), not simply its present state. This together with E3p5’s view of subjecthood – which I shall explicate in my paper – suggests that we should rethink what kind of “being” or “existence” is meant in E3p6. Indeed, for Spinoza, each subject has a definable essence from which, as far as the subject in question is in itself, certain properties or effects necessarily follow; consequently a subject’s full being involves not only instantiating a certain essence, but also those properties inferable from the essence-expressing definition. Thus, E3p5 is meant to bring forward that things are not merely non-self-destroyers but subjects from whose definitions properties follow; and as Spinoza thinks to have shown (by E1p25c and 1p34) that finite modifications are entities endowed with power, any subject has true power to produce the properties or effects derivable from its definition, which, Spinoza claims, implies opposing everything harmful. In other words, things exercise power as their definition states, i.e. according to their definitions, and thus bringing in the idea of things as expressers of power enables Spinoza to convert logical oppositions (of E3p5) into real ones (of E3p6). To summarize, Spinoza reasons that each true finite thing is, in itself, an expresser of power (E1p25c, 1p34) that never acts self-destructively (E3p4) but instead strives to drive itself through opponents to produce effects as they follow from the definition of the thing in question (E1p25c, 1p34, and 3p5). Therefore, “each thing, to the extent it is in itself, strives to persevere in its being.” The demonstration of E3p6 has its roots deep in Spinoza’s ontology, and since its concept of power is supposed to provide the metaphysical grounding for real opposition, the importance of E1p25c and 1p34 should not be underestimated just because Spinoza – as often happens – puts his point exceedingly briefly. Moreover, the derivation is basically valid and contains no superfluous elements. Finally, all this tells us something decisive about the meaning of Spinoza’s doctrine: according to it, things are active causers whose “power to exist and act” has conatus character in temporality, amounting not only to striving to prolong the duration of one’s actualization but also to striving to be as active or autonomous as possible, that is, to attain a state determined by the striving subject’s essence alone. (shrink)

Spinoza is most often seen as a stern advocate of mechanistic efficient causation, but examining his philosophy in relation to the Aristotelian tradition reveals this view to be misleading: some key passages of the Ethics resemble so much what Surez writes about emanation that it is most natural to situate Spinoza's theory of causation not in the context of the mechanical sciences but in that of a late scholastic doctrine of the emanative causality of the formal cause; as taking a (...) look at the seventeenth-century philosophy of mathematics reveals, this is in consonance also with Spinoza's geometrical cast of mind. Against this background, I examine Spinoza's essentialist model of causation according to which each thing has a formal character determined by the thing's essence and what follows from that essence. In the case of real things this essential causal architecture results in efficacy, i.e. in bringing about real effects, the key idea being that without the essential, formally structured causal thrust there would be no efficacy in the first place. I also explain how this model accounts for efficient causation taking place between finite things. (shrink)

(Tesis de Licencia en Filosofía. Moderador Alessandro Salucci, OP. Angelicum, Roma, Febrero 2006) -/- El problema causal está íntimamente ligado y nos lleva necesariamente al problema del ser, finito e infinito. Por tanto, no es un problema más en la filosofía. En la larga discusión que se planteó en el último período escolástico (fines del s. XIX y primera mitad del s. XX) las líneas de solución más originales las ha dado el p. Cornelio Fabro -/- Por lo tanto, nos (...) proponemos investigar su propuesta de solución. El p. Fabro defendía la necesidad de la dependencia causal a través de la noción de participación. Nuestro objetivo es por tanto hacer un análisis crítico de la postura del p. Fabro acerca de la dependencia causal como exigencia del ser participado, a través del estudio de algunas de sus obras más importantes al respecto. Buscamos respondernos por qué para el p. Fabro el ser participado exige una causa, y valorar sus argumentos. -/- Como hemos dicho, para nuestro trabajo nos valdremos ante todo del estudio de algunas de las obras más importantes del p. Cornelio Fabro con respecto a la causalidad. Nos referimos en concreto a tres de ellas: la primera, el artículo La difesa critica del principio di causa, donde el autor expone de un modo preciso la noción de participación como el fundamento de la justificación crítica del principio de causalidad. Las otras dos obras son La Nozione Metafisica di Partecipazione secondo San Tommaso d’Aquino, donde la noción de participación es puesta al centro de la metafísica tomista, como clave de bóveda de las tesis más características de la doctrina del Angélico; y Partecipazione e Causalità, obra en la cual el autor rescata el esse tomista original como fundamento de una metafísica de la causalidad. -/- Este estudio nos ha llevado a destacar la importancia de la noción de “ser que no es por sí” como noción esencialmente relacionada a la noción de participación y por otro lado cuasi necesaria para hacer el pasaje a la causa. (shrink)

The paper contains a novel realist account of causal production and the necessary connection between cause and effect. I argue that the asymmetric relation between causally connected events must be regarded as a product of a symmetric interaction between two or more entities. All the entities involved contribute to the producing, and so count as parts of the cause, and they all suffer a change, and so count as parts of the effect. Cause and effect, on this account, are two (...) different states of the very same compound substance, or system, one coming to exist out of the other. (shrink)

a review of Tooley's Causation: a realist approach*, with emphasis on his use of probability and Ramsey sentences.

THE aim of this paper is to refute Hume's contention that there cannot be logically necessary connections between successive events. I intend to establish, in other words, not 'Logically necessary connections do exist between successive events', but instead the rather more modest proposition: 'It may be, it is possible, as far as we can ever know for certain, that logically necessary connections do exist between successive events.' Towards the end of the paper I shall say something about the implications of (...) rejecting Hume's contention. (shrink)

A specter is haunting Hume scholarship: the specter of the “New Hume.” Contrary to more traditional interpretations, according to which Hume rejects belief in any conception of causation that invokes (metaphysically) necessary connections between distinct existences, proponents of the New Hume hold that Hume at the least allowed for the possibility of such connections—it’s just that he thought we couldn’t know much, if anything, about them, if we assume that they do exist. -/- I will argue that the views of (...) the “New Humers” (as I shall call them) are mistaken. I will begin by discussing their reading of Hume on causation, using Galen Strawson as a foil. I then examine the relation between Hume’s view of relations (pun intended) and his account of “necessary connexions”. Next, I argue that this account, once properly understood, shows that he did not believe in what we would think of as necessary connections while at the same time explaining why, as the New Humers point out, Hume sometimes writes in ways that can make it sound like he does, as well as reconciling Hume’s two definitions of causation. After that, I answer objections, and then raise some doubts about Hume’s account before finally concluding the paper. (shrink)