Recent studies on mind‐wandering reveal its potential role in goal exploration and planning future actions. How to understand these explorative functions and their impact on planning remains unclear. Given certain conceptions of intentions and beliefs, the explorative functions of mind‐wandering could lead to regular reconsideration of one's intentions. However, this would be in tension with the stability of intentions central to rational planning agency. We analyze the potential issue of excessive reconsideration caused by mind‐wandering. Our response resolves this tension, presenting (...) a model that aligns the roles of mind‐wandering in planning with empirical evidence and the sustained stability of intentions. (shrink)

This volume presents essays on self-consciousness by prominent psychologists, cognitive neurologists, and philosophers.

In earlier writings, I argued that neither of the two major physical cosmologies of the twentieth century support divine creation, so that atheism has nothing to fear from the explanations required by these cosmologies. Yet theists ranging from Augustine, Aquinas, Descartes, and Leibniz to Richard Swinburne and Philip Quinn have maintained that, at every instant anew, the existence of the world requires divine creation ex nihilo as its cause. Indeed, according to some such theists, for any given moment t, God’s (...) volition thatthe-world-should-exist-at-t supposedly brings about its actual existence at t.In an effort to establish the current viability of this doctrine of perpetual divine conservation. Philip Quinn I argued that it is entirely compatible with physical energy-conservation in the Big Rang cosmology, as well as with the physics of the steady-state theories.But I now contend that instead, there is a logical incompatibility on both counts. Resides, the stated tenet of divine conservation has an additional defect: It speciously purchases plausibility by trading on the multiply disanalogous volitional explanations of human actions. (shrink)

Dirac's classical electrodynamics countenances "preaccelerations" of charged particles at a time t as mathematical functions of external forces applied after the time t. These preaccelerations have been interpreted as evidence for physical retrocausation upon assuming that, in electrodynamics no less than in Newton's second law, external forces sustain an asymmetric causal relation to accelerations. And this retrocausal interpretation has just been defended against the critiques in (Grunbaum 1976), (Grunbaum and Janis, 1977 and 1978) by appeal to the formal (...) assimilation of the electrodynamic laws of motion to Newton's second law. It is argued below that this latest defense of the retrocausal interpretation is even more ill-founded than the prior ones in the literature. (shrink)

In earlier writings, I argued that neither of the two major physical cosmologies of the 20th century support divine creation, so that atheism has nothing to fear from the explanations required by these cosmologies. Yet theists ranging from Augustine, Aquinas, Descartes, and Leibniz to Richard Swinburne and Philip Quinn have maintained that, at every instant anew, the existence of the world requires divine creation ex nihilo as its cause. Indeed, according to some such theists, for any given moment t. God's (...) volition that the-world-should-exist-at-t supposedly brings about its actual existence at t. In an effort to reestablish the current viability of this doctrine of perpetual divine conservation. Philip Quinn argued (1993) that it is entirely compatible with physical energy conservation in the Big Bang cosmology, as well as with the physics of the steady-state theories. But I now contend that instead, there is a logical incompatibility on both counts. Besides, the stated tenet of divine conservation has an additional defect: It speciously purchases plausibility by trading on the multiply disanalogous volitional explanations of human actions. (shrink)

In Grunbaum (1989, 374, 390), I objected to Narlikar's (1977, 136-137) designation "event of 'creation'" for a supposed first cosmic instant t = 0, which he imports into the big bang cosmology of the general theory of relativity (GTR). Narlikar (1992, 361-362) does reject a theological construal of the "creation". But, endeavoring to justify his secular creationism, he now points out that, in the GTR, the usual derivation of matter-energy conservation from Hilbert's stationary action principle cannot be extended to (...) include the putative first instant t = 0. Narlikar reasons that this "breakdown" in the derivation of energy conservation at t = 0 qualifies the putative initial event as the "creation event". I argue that this inference is multiply fallacious. (shrink)

Following the ideas of Poincaré, Reichenbach, and Grunbaum concerning the convention of setting up clock systems, we analyze clock systems and light propagation within the framework of four-dimensional symmetry. It is possible to construct a new four-dimensional symmetry framework incorporatingcommon time: observers in different inertial frames of reference use one and the same clock system, which is located in any one of the frames. Consequently, simultaneity has a meaning independent of position and independent of frame of reference. A further (...) consequence is that the two-way speeds of light alone are isotropic in any frame. By the choice of clock system there will be one frame in which the one-way speed of light is isotropic. This frame can be arbitrarily chosen. The difference between one-way speeds and two-way speeds of light signals is considered in detail. (shrink)

Schlagel begins with the claim: "Ever since Galileo, our beliefs about the world have been influenced, in the main, by the results of scientific inquiry." This is still true, he says, in a sense: "Prominent contemporary philosophers such as Popper, Nagel, Hempel, Grünbaum, Toulmin, and Feyerabend have also taken scientific developments as their main focus of interest." But Schlagel thinks analytical philosophers, by contrast with philosophers of earlier periods, are peculiarly academic--out of touch with the general contemporary intellectual community. Though (...) writing for academic philosophers, Schlagel wants to reach a "wider audience comprised of scholars of diverse backgrounds." To achieve this aim, he says he will diverge from the current analytical paradigm in the following three respects: " [The book] does not focus on language as the primary datum for philosophical investigation, but the results of empirical inquiry...; it does not rely on logic as the tool for clarifying concepts and arguments; and it is systematic, in that it attempts to show that the various facets of the problem of knowledge... are interrelated and imply a new framework of interpretation". (shrink)

A detailed analysis is made of Grunbaum's claim that the Abraham-Lorentz (AL) and Dirac-Lorentz (DL) equations have no bearing on causality. It is pointed out that (a) both equations are derived from F = ma, and thus should obey the same causality conditions as Newton's law, (b) independently of what boundary conditions are imposed, non-causal behavior is always along the same straight line as the force, (c) the distinction in status between laws and boundary conditions which Grunbaum imposes (...) is one which is not always useful, especially since what is a law in one formulation of the theory can become a boundary condition in another, and thus it is argued that a complete theory must be such that laws and boundary conditions form a coherent whole, (d) the asymptotic boundary conditions that are applied are in agreement with experiment, (e) the AL equation is such that if the "effect," the acceleration as function of time, is known, then the "cause," the force, can be determined. In addition, it is noted that in the DL equation the acceleration at times later than t influences the acceleration at t. Finally, it is pointed out that electrodynamics is indeed a causal field theory, and that retrocausality is due to the transition from a field description to a particle description. (shrink)

Prompted by the "Panel Discussion of Grünbaum's Philosophy of Science" (Philosophy of Science 36, December, 1969) and other recent literature, this essay ranges over major issues in the philosophy of space, time and space-time as well as over problems in the logic of ascertaining the falsity of a scientific hypothesis. The author's philosophy of geometry has recently been challenged along three main distinct lines as follows: (i) The Panel article by G. J. Massey calls for a more precise and more (...) coherent account of the Riemannian conception of an intrinsic as opposed to an extrinsic metric, which the author has invoked as his basis for the distinction between non-conventional and convention-laden ascriptions of metrical equality and inequality; (ii) the latter distinction has been claimed to suffer from the liabilities of the so-called "standard conception" of scientific theories [36]; and (iii) pursuant to H. Putnam's "An Examination of Grünbaum's Philosophy of Geometry" [56], J. Earman [16, 17] and R. Swinburne [65] have contended that the difference between intrinsic and extrinsic metrics is scientifically unilluminating, and that the associated distinction between non-conventional and convention-laden metrical comparisons does not have the kind of relevance to extant scientific theories that the author has claimed for it. The essay consists of two installments. The present installment, comprising the Introduction and Part A, is devoted to the clarification, correction and further development of the author's prior writings on the philosophy of geometry. Its main objective is constructive elaboration rather than offering polemics. But rebuttals to Earman, [16, 17], Swinburne [65] and Demopoulos [13] are included, because their inclusion conduced to clarity in giving the new exposition. Part B is to appear in a subsequent issue and will be devoted to replies to critiques contained in the Panel Discussion and in other recent literature. It will range over issues in the philosophy of geometry and in the logic of ascertaining the falsity of a scientific hypothesis. By way of merely elliptical anticipation of much more precise statements given in Part A, section 3(ii), the Introduction dissociates the notion of convention-ladenness developed in Part A from the quite different notion integral to the so-called "standard conception" of scientific theories. Thereby, the Introduction prepares the ground for seeing, as a corollary to Part A, section 3(ii), that the notion advocated in the present essay has nothing to fear from the following fact, noted by C. G. Hempel ([36]; cf. also his 1970 Carus Lectures): "even though a sentence may originally be introduced as true by stipulation, it soon joins the club of all other member-statements of the theory and becomes subject to revision in response to further empirical findings and theoretical developments." Part A, which begins with a fairly detailed table of contents, endeavors to meet the aforementioned three-fold challenge to the author's philosophy of geometry. Massey's call for the provision of clear and detailed characterizations of intrinsic and extrinsic metrics is answered with the invaluable aid rendered personally by Massey himself. These characterizations are shown to permit a precise explication of the portions of Riemann's Inaugural Dissertation relevant to (1) Riemann's brilliant anticipation of Einstein's dynamical conception of physical geometry, and (2) the author's philosophical characterization of the metrics and geometries of space, time, and space-time {section 2(c)}. A byproduct of the analysis is to raise two major philosophical doubts concerning Clifford's sketch of a so-called "space-theory of matter" as elaborated in J. A. Wheeler's relativistic geometrodynamics. That theory's vision of understanding matter as a manifestation of empty curved space is questioned in regard to (1) the existence of an intra-geometrodynamic basis for individuating the metrically homogeneous world points of its space-time manifold {section 1(a)}, and (2) the compatibility of the theory with the Riemannian metrical philosophy apparently espoused by its proponents {section 2(c)(i)}. (shrink)

This paper is a sequel to my 'Theological Misinterpretations of Current Physical Cosmology' (Foundations of Physics [1996], 26 (4); revised in Philo [1998], 1 (1)). There I argued that the Big Bang models of (classical) general relativity theory, as well as the original 1948 versions of the steady state cosmology, are each logically incompatible with the time-honored theological doctrine that perpetual divine creation ('creatio continuans') is required in each of these two theorized worlds. Furthermore, I challenged the perennial theological doctrine (...) that there must be a divine creative cause (as distinct from a transformative one) for the very existence of the world, a ratio essendi. This doctrine is the theistic reply to the question: 'Why is there something, rather than just nothing?' I begin my present paper by arguing against the response by the contemporary Oxford theist Richard Swinburne and by Leibniz to what is, in effect, my counter-question: 'But why should there be just nothing, rather than something?' Their response takes the form of claiming that the a priori probability of there being just nothing, vis-à-vis the existence of alternative states, is maximal, because the non-existence of the world is conceptually the simplest. On the basis of an analysis of the role of simplicity in scientific explanations, I show that this response is multiply flawed, and thus provides no basis for their three contentions that (i) if there is a world at all, then its 'normal', natural, spontaneous state is one of utter nothingness or total non-existence, so that (ii) the very existence of matter, energy and living beings constitutes a deviation from the allegedly 'normal', spontaneous state of 'nothingness', and (iii) that deviation must thus have a suitably potent (external) divine cause. Related defects turn out to vitiate the medieval Kalam Argument for the existence of God, as espoused by William Craig. Next I argue against the contention by such theists as Richard Swinburne and Philip L. Quinn that (i) the specific content of the scientifically most fundamental laws of nature, including the constants they contain, requires supra-scientific explanation, and (ii) a satisfactory explanation is provided by the hypothesis that the God of theism willed them to be exactly what they are. Furthermore, I contend that the theistic teleological gloss on the 'Anthropic Principle' is incoherent and explanatorily unavailing. Finally, I offer an array of considerations against Swinburne's attempt to show, via Bayes's theorem, that the existence of God is more probable than not. (shrink)

This paper offers a refutation of P. Duhem's thesis that the falsifiability of an isolated empirical hypothesis H as an explanans is unavoidably inconclusive. Its central contentions are the following: 1. No general features of the logic of falsifiability can assure, for every isolated empirical hypothesis H and independently of the domain to which it pertains, that H can always be preserved as an explanans of any empirical findings O whatever by some modification of the auxiliary assumptions A in conjunction (...) with which H functions as an explanans. For Duhem cannot guarantee on any general logical grounds the deducibility of O from an explanans constituted by the conjunction of H and some revised non-trivial version R of A: the existence of the required set R of collateral assumptions must be demonstrated for each particular case. 2. The categorical form of the Duhemian thesis is not only a non-sequitur but actually false. This is shown by adducing the testing of physical geometry as a counterexample to Duhem in the form of a rebuttal to A. Einstein's geometrical articulation of Duhem's thesis. 3. The possibility of a quasi a priori choice of a physical geometry in the sense of Duhem must be clearly distinguished from the feasibility of a conventional adoption of such a geometry in the sense of H. Poincare. And the legitimacy of the latter cannot be invoked to save the Duhemian thesis from refutation by the foregoing considerations. (shrink)

According to some cosmologists, the big bang cosmogony and even the (now largely defunct) steady-state theory pose a scientifically insoluble problem of matter-energy creation. But I argue that the genuine problem of the origin of matter-energy or of the universe has been fallaciously transmuted into the pseudo-problem of creation by an external cause. A fortiori, it emerges that the initial "true" and "false" vacuum states of quantum cosmology do not vindicate biblical divine creation ex nihilo at all.

On the face of it, conflicting constraints are placed on agents' knowledge of their own action: it is demanded that that which is known is an event happening in the “outside world”, but that the way in which it is known is “from the inside”. I propose to look at the way in which Anscombe sets up this epistemological puzzle and attempts to solve it. I discuss two ways in which Anscombe proposes to dissolve the paradox of agents' knowledge, whereof (...) the first one is rejected. Finally, I discuss different problems for the second way and suggest that we can save the Anscombian framework by rethinking the role of perception in action. (shrink)

It is a commonplace in the analytic geometry of physical space-time that an extended straight line segment, having positive length, is treated as “consisting of” unextended points, each of which has zero length. Analogously, time intervals of positive duration are resolved into instants, each of which has zero duration.

Ellis and Bowman's account of nonstandard signal synchronizations is examined as a prolegomenon to this paper. Attention is called to some consequences of an important ambiguity in their account of the transitivity of nonstandard synchrony. Then an analysis is given of the principle of relativity to assess E & B's claim that this principle either restricts nonstandard signal synchronisms or rules them out altogether. It is argued that the latitude for choices of nonstandard synchronisms is not circumscribed by the factual (...) content of the principle of relativity; instead, the exclusion of such synchronisms by this principle depends on a tacit appeal to the particular conventions implicit in certain formulations of the principle. Hence E & B's claim is rejected as an argument against the factual tenability of nonstandard synchronisms. (shrink)

Is it a "conceptual truth" or only a logically contingent fact that, in any given kind of case, an event x which asymmetrically causes ("produces") an event y likewise temporally precedes y or at least does not temporally succeed y? A bona fide physical example in which the cause retroproduces the effect would show that backward causation is no less conceptually possible than forward causation. And it has been claimed ([9], p. 151; [4], p. 41) that in Dirac's classical electrodynamics (...) (relativistic and non-relativistic), the preacceleration of charged particles before any forces are applied to them furnishes a genuine case of retrocausation by later forces. An exposition of the pertinent physics furnishes the basis for arguing the following: Whereas the non-zero acceleration of a neutral NEWTONIAN mass particle is, of course, causally connected as such to the simultaneously applied non-zero force, the non-zero acceleration of a DIRACIAN charged particle is not causally connected at all as such to the applied forces. A fortiori, in Dirac's electrodynamics, the applied forces do not qualify asymmetrically as the causes of a non-zero acceleration as such; nor does a non-zero acceleration as such qualify as an effect produced by forces. This is shown by means of two considerations as follows: (1) In Dirac's theory, no functional dependence of the value of a non-zero acceleration on the weighted time-average of the forces is vouchsafed as a matter of physical LAW alone without any value of a constant of integration, just as no Newtonian law(s) alone can guarantee a functional dependence of the non-zero value of the velocity of a Newtonian mass particle on the applied forces. Instead, both functional dependencies alike are vouchsafed only with the crucial aid of some de facto boundary condition pertaining to either the past or to the furute, so that (2) Non-zero preaccelerations of Diracian charged particles can no more be causally attributed as such to the retrocausal action of later forces than non-zero "prevelocities" of Newtonian mass particles can be held to be caused as such by later applied forces. The retrocausal interpretation of Dirac's preaccelerations is just as invalid as the retrocausal interpretation of Newtonian prevelocities. (shrink)

Professor Buck has given an illuminating account of the logical status of reflexive predictions in the social sciences. He tells us that the classification of a prediction as reflexive is predicated on a tacit distinction between the “normal” and the “abnormal” or perturbed conditions under which it is made. This seems to me to be a perceptive and sound circumscription of the class of reflexive predictions as encountered in the social sciences. He goes on to show helpfully how the social (...) scientist can cope with the pitfalls of spurious disconfirmation and spurious confirmation which are created by “self-frustrating” and “self-fulfilling” predictions respectively. And Professor Buck then offers some searching doubts concerning the adequacy of regarding self-fulfilling predictions as the pattern of racial discrimination against minority groups. Finally, he presents objections to my critique of Robert Merton's claim that self-defeating and self-fulfilling predictions are endemic to the domain of human affairs and are “not found among predictions about the world of nature.”. (shrink)

Three major ways in which temporal asymmetries enter into scientific induction are discussed as follows: 1. An account is given of the physical basis for the temporal asymmetry of recordability, which obtains in the following sense: except for humanly recorded predictions and one other class of advance indicators to be discussed, interacting systems can contain reliable indicators of only their past and not of their future interactions. To deal with the exceptional cases of non-spontaneous "pre-records," a clarification is offered of (...) the essential differences in the conditions requisite to the production of an indicator having retrodictive significance ("post-record"), on the one hand, and of one having predictive significance ("prerecord" or recorded prediction), on the other. Purported counter-examples to the asymmetry of spontaneous recordability are refuted. 2. It is shown how in cases of asymmetric recordability, the associated retrodiction-prediction asymmetry makes for an asymmetry of assertibility as between an explanandum (or an explanans) referring to a future event and one referring to a past one. But it is argued that this epistemological asymmetry in the assertibility per se must be clearly distinguished from a logical asymmetry between the past and the future in regard to the inferability (deductive or inductive) of the explanandum from the explanans. And it is then contended that the failure to distinguish between an epistemological and a logical asymmetry vitiates the critiques that recent writers have offered of the Popper-Hempel thesis, which affirms symmetry of inferability as between predictive and post-explanatory arguments. In reply to Scriven, it is maintained that predictions based on mere indicators (rather than causes) do not establish an asymmetry in scientific understanding as between predictive arguments and post-explanatory ones. 3. As a further philosophical ramification of the retrodiction-prediction asymmetry, a set of sufficient conditions are stated for the correctness of philosophical mechanism as opposed to teleology. (shrink)

Many philosophers endorse the Transparency Thesis, the claim that by introspection one cannot become aware of one's experience. Recently, some authors have suggested that the Transparency Thesis is challenged by introspective states reached under mindfulness. We label this the Mindfulness Opacity Hypothesis. The present paper develops the hypothesis in important new ways. First, we motivate the hypothesis by drawing on recent clinical psychology and cognitive science of mindfulness. Secondly, we develop the hypothesis by describing the implied shift in experiential perspective, (...) the scope of introspectable qualities, and the level of skill. Thirdly, we defend the hypothesis against various philosophical arguments. We conclude that the Mindfulness Opacity Hypothesis is empirically and theoretically well motivated and supported. (shrink)

Using Grunbaum 1984 and 1993 as a springboard, Greenwood (this issue) claims to have offered several methodologically salubrious and exegetically illuminating theses on empirical evaluations of theoretical explanations of psychotherapeutic efficacy. According to his exegesis of Grunbaum's construction (1984, Ch. 2, Section C; 1993, 184-204) of Freud's "Tally Argument," that argument bespeaks a rife neglect of the epistemologically-significant distinction between empirical evaluations of the efficacy of psychotherapy and evaluations of theoretical explanations of that efficacy. Greenwood presents a defense (...) of a qualified version of Popper's critique of psychoanalysis against Grunbaum's objections to it (1984, Ch. 1B). Finally, Greenwood offers a clarification of the concept of a "placebo control" investigation, taking issue with Grunbaum's 1993 (84-87, 91-93). In the present paper, it is argued contra Greenwood that: (1) his purportedly "best" reading of Freud's Tally Argument and of its import founders, (2) the distinction that Greenwood bemoans as being neglected by mental health researchers actually is a commonplace in the literature on treatment-process and therapeutic outcome, (3) Greenwood's defense of Popper's critique of psychoanalysis is an anachronism, and (4) Greenwood's conceptual analysis of placebo controls is nebulous and misconceived. (shrink)

1. Introduction. The germ of the clock paradox was contained in Einstein's fundamental paper on the special theory of relativity, where he declares that the retardation of a moving clock “still holds good if the clock moves from A to B in any polygonal line, and also when the points A and B coincide.” This remark soon gave rise to a criticism which was to play a prominent role in the discussions of the consistency of the theory of relativity. It (...) was charged that this theory allows the paradoxical conclusion that at the instant of the return of a moving clock U1 to its point of departure A, the time shown by Ul is both earlier and later than the corresponding reading of a clock U2 which has remained stationary at A during U1's journey. Critics based this contention on the following assumptions, for which they claimed the sanction of relativity: The relative motion of U1 and U2 is such that the kinematic process seen by an observer on one of these clocks is of the same character as that seen by an observer on the other, and this symmetry allows each of these two clocks to be used as a reference frame from which to describe the motion of the other, and there is reciprocity between these two reference frames such that in each of them, the moving clock must be slow upon returning to the stationary one. (shrink)

Moon and Spencer maintain that there is a divergence between Einstein's analysis of simultaneity, as set forth in his fundamental paper on relativity of 1905, and my treatment of that concept in a recent publication. They write: “Einstein decided that simultaneity is meaningless in all cases of relative motion. … Grünbaum decided that even Einstein's restriction is not sufficiently stringent and that simultaneity is a questionable concept even with stationary observers. … Grünbaum rejects Postulate VI [which states that ‘If A (...) and B are not in relative motion, the time taken for a pulse of radiation to travel in a vacuum from A to B is the same as from B to A’] and is thereby unable to synchronize clocks even when they are stationary.”. (shrink)

In this paper, I criticize the claim made by Donald Davidson, among others, that Freud’s psychoanalytic theory provides “a conceptual framework within which to describe and understand irrationality.” Further, I defend my epistemological strictures on the explanatory and therapeutic foundations of the psychoanalytic enterprise against the efforts of Davidson, Marcia Cavell, Thomas Nagel, et al., to undermine them.

This paper consists of two related parts:I. A detailed critique of Donald Davidson's thesis—in his “The Paradoxes of Irrationality”—that “…any satisfactory [explanatory] view [of irrationality] must embrace some of Freud's most important theses” (p. 290). I argue that this conclusion is doubly flawed: (i) Davidson's case for it is logically ill‐founded, and (ii) its Freudian plaidoyer is also factually false.II. Relatedly, in the second part, I confute the recent arguments given by Marcia Cavell, Thomas Nagel, et al. to establish that (...) psychoanalytic causal explanations of irrationality are epistemically justified, because they are extensions of the desire‐cumbelief pattern of accounting for intentional actions. As a corollary, it becomes clear that these authors have failed to undermine my epistemological strictures on the foundations of psychoanalysis. (shrink)

Opening Remarks of the Chairman at “Wesley C. Salmon, 1925–2001”: A Symposium Honoring his Contributions to the Philosophy of Science.

In this paper, we argue that the comparator model is not a satisfactory model of sense of agency (SoA). We present a theoretical argument and experimental studies. We show (1) most studies of SoA neglect a distinction between SoA associated with movements (narrow SoA) and SoA associated with environmental events (broad SoA); (2) the comparator model emerges from experimental studies of sensory consequences narrowly associated with movements; (3) narrow SoA can be explained by a comparator model, but a motor signal (...) model is simpler and explain narrow SoA equally well; and (4) standard experimental paradigms study only broad SoA. Finally, we present results from two experiments, where we have failed to induce illusory narrow SoA in healthy participants. We believe our experimental approaches should have led to illusory SoA, if the comparator model of SoA was correct. The results challenge proponents of the comparator model of narrow SoA. (shrink)

In a recent paper, Brogaard presents counter-arguments to the conclusions of an experiment with blindsight subject GR. She argues that contrary to the apparent findings that GR’s preserved visual abilities relate to degraded visual experiences, she is in fact fully unconscious of the stimuli she correctly identifies. In this paper, we present arguments and evidence why Brogaard’s argument does not succeed in its purpose. We suggest that not only is relevant empirical evidence in opposition to Brogaard’s argument, her argument misconstrues (...) necessary criteria to decide whether a conscious experience is visual or not visual. (shrink)