We historically trace various non-conventional explanations for the origin of the cosmic microwave background and discuss their merit, while analyzing the dynamics of their rejection, as well as the relevant physical and methodological reasons for it. It turns out that there have been many such unorthodox interpretations; not only those developed in the context of theories rejecting the relativistic paradigm entirely but also those coming from the camp of original thinkers firmly entrenched in the relativistic milieu. In fact, the (...) orthodox interpretation has only incrementally won out against the alternatives over the course of the three decades of its multi-stage development. While on the whole, none of the alternatives to the hot Big Bang scenario is persuasive today, we discuss the epistemic ramifications of establishing orthodoxy and eliminating alternatives in science, an issue recently discussed by philosophers and historians of science for other areas of physics. Finally, we single out some plausible and possibly fruitful ideas offered by the alternatives. (shrink)

A new evolutionary concept is presented, based on the principle of biological diversity by organismal adaptation, more specifically the origin of the first variations and the process leading to speciation. The article suggests the mechanism of stimulation as the major promoter of genetic variation, making an overall assessment and accurate to the natural phenomenon responsible for this evolutionary step. Constantly, environmental forces interact with the organism, favoring changes to the organs toward adaptation. Stimulation focuses on this action?reaction between organism and (...) environment, trying to decipher the causes/consequences resulting. The article also addresses possible relationships and constraints with neo-Darwinism. (shrink)

When firm misconduct comes to light, CEOs are often faced with difficult decisions regarding whether and how to respond to stakeholder demands as they attempt to restore their firms’ legitimacy. Prior research largely assumes that such decisions are motivated by CEOs’ calculated attempts to manage stakeholder impressions. Yet, there are likely other motives, particularly those of a morally-relevant nature, that might also be influencing CEOs’ decisions. To address this limitation, we advance moral cleansing as an alternative explanation for how (...) and why CEOs lead their firms to respond to stakeholder demands following the firm’s misconduct and, in turn, whether they can successfully restore their firm’s legitimacy. In the context of firm misconduct, moral cleansing motives reflect CEOs’ desire to restore their threatened moral self-image resulting from the misconduct. We theorize that a CEO’s moral cleansing motives increase the likelihood that their firm will engage in a series of reparative responses that can restore the firm’s legitimacy (i.e., discovery, explanation, penance, and rehabilitation). In addition, we explicate the unique implications of CEOs’ moral cleansing in a post-misconduct context by theorizing how such motives may simultaneously improve one form of their firms’ legitimacy while hindering another. Specifically, we theorize that CEOs’ moral cleansing motives increase (decreases) the authenticity (strategic cognition) of their firm responses, which strengthens (weakens) the effectiveness of those responses on the firms’ ability to restore its moral (pragmatic) legitimacy with stakeholders. We conclude with a discussion of the implications of this work. (shrink)

Researchers and practitioners have devoted considerable attention to firms'' policies regarding discretionary disclosures. Prior studies argue that firms increase demand for their debt and equity issues and, thus, lower their cost of capital, by providing more informative disclosures. However, empirical research has generally not been able to document significant benefits from increased disclosure.This paper proposes an alternative explanation – firms disclose because it is the socially responsible thing to do. We argue that companies have incentives to engage in stakeholder (...) management by undertaking socially responsible activities and that providing extensive and informative disclosures is one such practice.We examine the relationship between firms'' disclosures and measures of social responsibility. We use ratings provided by the Council on Economic Priorities as proxies for the degree of social responsibility adopted by the sample firms. Disclosure rankings provided by the annual Association for Investment Management and Research Corporate Information Committee Reports (AIMR Reports) are used to measure disclosure level.Our results indicate that there is a positive relationship between disclosure level and corporate social responsibility. That is, firms that engage in socially responsive activities provide more informative and/or extensive disclosures than do companies that are less focused on advancing social goals. In addition, we find that socially responsible firms are more likely to provide this increased disclosure through better investor relations practices. These results support our contention that increased disclosure is a form of socially responsible behavior. (shrink)

There are cases where many think it would have been better for some child never to have been born. We can imagine a life characterized exclusively by suffering, never containing even the briefest moment of pleasure. The life goes exceedingly poorly – so poorly, we think, that it would have been better for the child never to have been. However, most of us think that many lives are not of this sort. Many lives are at least all right: the good (...) moments outweigh the bad, and so it’s not better for those people never to have been born.David Benatar offers a compelling and challenging argument against this common view.See David Benatar [1]. He endorses anti-natalism, which is the view that there’s always a pro tanto moral reason, grounded in the interests of a potential child, against creating the child because it’s always better for the child never to have been born.As will be mentioned in note 13, there is strictly speaking a qualification: if one’s life contains no pains at all, then it’s .. (shrink)

Explanations in the life sciences frequently involve presenting a model of the mechanism taken to be responsible for a given phenomenon. Such explanations depart in numerous ways from nomological explanations commonly presented in philosophy of science. This paper focuses on three sorts of differences. First, scientists who develop mechanistic explanations are not limited to linguistic representations and logical inference; they frequently employ diagrams to characterize mechanisms and simulations to reason about them. Thus, the epistemic resources for (...) presenting mechanistic explanations are considerably richer than those suggested by a nomological framework. Second, the fact that mechanisms involve organized systems of component parts and operations provides direction to both the discovery and testing of mechanistic explanations. Finally, models of mechanisms are developed for specific exemplars and are not represented in terms of universally quantified statements. Generalization involves investigating both the similarity of new exemplars to those already studied and the variations between them. (shrink)

Recently philosophers of science have begun to pay more attention to the use of highly idealized mathematical models in scientific theorizing. An important example of this kind of highly idealized modeling is the widespread use of optimality models within evolutionary biology. One way to understand the explanations provided by these models is as a censored causal explanation: an explanation that omits certain causal factors in order to focus on a modular subset of the causal processes that led to the (...) explanandum. In this paper, I first argue that the censored causal model approach fails to establish a permanent explanatory role for optimality models in biology and mischaracterizes the explanatory virtues of biological optimality modeling. In addition, I argue that many biological optimality explanations cannot be characterized as censored causal explanations. In response, I propose an alternative approach that analyzes optimality models’ reliance on synchronically representing a system’s constraints and tradeoffs as well as their employment of various kinds of idealization in order to provide equilibrium explanations. (shrink)

Michael Strevens offers an account of causal explanation according to which explanatory practice is shaped by counterbalanced commitments to representing causal influence and abstracting away from overly specific details. In this paper, I challenge a key feature of that account. I argue that what Strevens calls explanatory frameworks figure prominently in explanatory practice because they actually improve explanations. This suggestion is simple but has far-reaching implications. It affects the status of explanations that cite multiply realizable properties; changes the (...) explanatory role of causal factors with small effect; and undermines Strevens’ titular explanatory virtue, depth. This results in greater coherence with explanatory practice and accords with the emphasis that Strevens places on explanatory patterns. Ultimately, my suggestion preserves a tight connection between explanation and the creation of understanding by taking into account explanations’ role in communication. (shrink)

Previous research has suggested that an effective strategy for debiasing judgments is to have participants "consider the opposite." The present research proposes that considering any plausible alternative outcome for an event, not just the opposite outcome, leads participants to simulate multiple alternatives, resulting in debiased judgments. Three experiments tested this hypothesis using an explanation task paradigm. Participants in all studies were asked to explain either 1 hypothetical outcome (single explanation conditions) or 2 hypothetical outcomes (multiple explanation conditions) to an (...) event; after the explanation task, participants made likelihood judgments. The results of Studies 1 and 2 indicated that debiasing occurred in all multiple explanation conditions, including those that did not involve the opposite outcome. Furthermore, the findings indicated that debiased judgments resulted from participants' spontaneous consideration of additional alternatives in making their likelihood judgments. The results of Study 3 also identified the perceived plausibility of the explained alternative as an important moderating variable in debiasing. (shrink)

I. Professor Leo Gershoy’s paper, “Some Problems of a Working Historian,” and the discussions of it by Professors R. B. Brandt and Ernest Nagel, show that the stale philosophical question, ‘What is historical explanation?’ may be refreshed by investigating what historians do when they offer an alternative to an explanation that has become generally accepted. Gershoy’s paper is a philosophical study of his own work as an historian: in particular, of his challenge, in Bertrand Barère: A Reluctant Terrorist, to (...) the analysis of the political conduct of Bertrand Barère, one of the leaders of the great French Revolution, by which Macaulay supported this celebrated invective. (shrink)

In pursuing philosophical enquiries in the foundations of physics, I have found myself operating with a concept of explanation which has a quite different logical syntax from the concept which Hempel has explicated. I suspect that the concept of explanation I operate with is not especially idiosyncratic, is not fully captured in the existing philosophical literature, and that it may be the more appropriate concept if we are to consider explanation as the goal of physics. I therefore propose to give (...) here a short account of the structure of this alternative concept of explanation. (shrink)

Abstract While agreeing that dynamical models play a major role in cognitive science, we reject Stepp, Chemero, and Turvey's contention that they constitute an alternative to mechanistic explanations. We review several problems dynamical models face as putative explanations when they are not grounded in mechanisms. Further, we argue that the opposition of dynamical models and mechanisms is a false one and that those dynamical models that characterize the operations of mechanisms overcome these problems. By briefly considering examples (...) involving the generation of action potentials and circadian rhythms, we show how decomposing a mechanism and modeling its dynamics are complementary endeavors. (shrink)

This paper discusses various problems of explanations by mechanisms. Two positions are distinguished: the narrow position claims that only explanations by mechanisms are acceptable. It is argued that this position leads to an infinite regress because the discovery of a mechanism must entail the search for other mechanisms etc. Another paradoxical consequence of this postulate is that every successful explanation by mechanisms is unsatisfactory because it generates new ``black box'' explanations. The second – liberal – position that (...) is advanced in this paper regards, besides explanations by mechanisms, also the discovery of bivariate correlations as a first step of an explanation by mechanisms as meaningful. It is further argued that there is no contradiction between causal analysis and the explanation by mechanisms. Instead, explanations by mechanisms always presuppose the analysis of causal structures (but not vice versa). The final point is that an explanation by mechanisms is not inconsistent with the Hempel-Oppenheim scheme of explanation. (shrink)

Knobe cites both relevant alternatives and defaults on a continuum to explain how moral judgments influence intuitions about certain apparently non-moral notions. I ask (1) how these two accounts are related, (2) whether they exclude or supplement supposedly competing theories, and (3) how to get positive evidence that people consider relevant alternatives when applying such notions.

Some moral realists claim that moral facts are a species of natural fact, amenable to scientific investigation. They argue that these moral facts are needed in the best explanations of certain phenomena and that this is evidence that they are real. In this paper I present part of a biological account of the function of morality. The account allows the identification of a plausible natural kind that could play the explanatory role that a moral kind would play in naturalist (...) realist theories. It is therefore a candidate for being the moral kind. I argue, however, that it will underdetermine the morally good, that is, identifying the kind is not sufficient to identify what is good. Hence this is not a natural moral kind. Its explanatory usefulness, however, means that we do not have to postulate any further (moral) facts to provide moral explanations. Hence there is no reason to believe that there are any natural moral kinds. (shrink)

‘There are known knowns; there are things we know we know. We also know there are known unknowns; that is to say we know there are some things we do not know. But there are also unknown unknowns—the ones we don’t know we don’t know.’ —Donald Rumsfeld, 2003, President George W. Bush’s Secretary of Defense, on the subject of the U.S. government’s failure to discover weapons of mass destruction in Iraq.

This paper responds to Kathleen Stock’s attempt to explain a puzzling fact, at least from her standpoint: widespread assertions that some people who are biologically male are women and some people who are biologically female are men. She regards these assertions as made while immersed in a fiction. Stock rejects an alternative explanation – that a lot of these people have read Judith Butler or 1970s feminism. Clarifying that explanation reveals it to be not so easy to dismiss.

김재권은 여러 편의 논문을 통해 행위 설명에 대한 규범적 접근을 옹호해왔으며, 그의 최근 저작에서 심적 시뮬레이션에 기반한 행위 설명 이론을 내놓았다. 본 논문의 목적은 김재권의 이론을 비판적으로 검토하고 필자 자신의 대안적 규범적 접근의 기본 골자를 제시하는 것이다. 논문은 먼저 김재권의 입장을 가능한 한 분명하고 그럴듯한 형태로 제시하고, 그의 접근이 어떤 심각한 문제에 직면하는지 논의한다. 난점의 요지는 김재권 식의 접근 내에서는 참된 행위 설명과 거짓된 설명을 구분하기 위한 이론적 자원이 존재하지 않기에, 그의 이론은 행위 설명의 논리에 대한 적절한 분석일 수 없다는 (...) 것이다. 이어서 필자는 규범적 접근의 기본적 통찰을 어떻게 시뮬레이션을 통해 더 잘 포착할 수 있는지 제안한다. 필자의 접근은 이유는 행위의 원인이라는 인과주의자의 핵심 주장을 받아들인다. 그러나 그것은 또한 명시적으로 규범적이면서 시뮬레이션적인 접근인데, 필자의 접근에 의하면, 행위 설명에 내재하는 규범성은 이유를 이유이게끔 하는 규범성이며, 이 규범성은 심적 시뮬레이션에 의해 그럴듯하게 분석될 수 있다. (shrink)

Stanford’s argument against scientific realism focuses on theories, just as many earlier arguments from inconceivability have. However, there are possible arguments against scientific realism involving unconceived (or inconceivable) entities of different types: observations, models, predictions, explanations, methods, instruments, experiments, and values. This paper charts such arguments. In combination, they present the strongest challenge yet to scientific realism.

A compelling idea holds that reality has a layered structure. We often disagree about what inhabits the bottom layer, but we agree that higher up we find chemical, biological, geological, psychological, sociological, economic, /etc./, entities: molecules, human beings, diamonds, mental states, cities, interest rates, and so on. How is this intuitive talk of a layered structure of entities to be understood? Traditionally, philosophers have proposed to understand layered structure in terms of either reduction or supervenience. But these traditional views face (...) well-known problems. A plausible alternative is that layered structure is to be explicated by appeal to explanations of a certain sort, termed / grounding explanations/. Grounding explanations tell us what obtains in virtue of what. Unfortunately, the use of grounding explanations to articulate the layered conception faces a problem, which I call /the collapse/. The collapse turns on the question of how to ground the facts stated by the explanations themselves. In this paper I make a suggestion about how to ground explanations that avoids the collapse. Briefly, the suggestion is that the fact stated by a grounding explanation is grounded in its /explanans/. (shrink)

The likelihood of a statement is often derived by generating an explanation for it and evaluating the plausibility of the explanation. The explanation discounting principle states that people tend to focus on a single explanation; alternative explanations compete with the effect of reducing one another’s credibility. Two experiments tested the hypothesis that this principle applies to inductive inferences concerning the properties of everyday categories. In both experiments, subjects estimated the probability of a series of statements and the conditional (...) probabilities of those conclusions given other related facts. For example, given that most lawyers make good sales people, what is the probability that most psychologists make good sales people? The results showed that when the fact and the conclusion had the same explanation the fact increased people’s willingness to believe the conclusion, but when they had different explanations the fact decreased the conclusion’s credibility. This decrease is attributed to explanation discounting; the explanation for the fact had the effect of reducing the plausibility of the explanation for the conclusion. (shrink)

Issues concerning scientific explanation have been a focus of philosophical attention from Pre- Socratic times through the modern period. However, recent discussion really begins with the development of the Deductive-Nomological (DN) model. This model has had many advocates (including Popper 1935, 1959, Braithwaite 1953, Gardiner, 1959, Nagel 1961) but unquestionably the most detailed and influential statement is due to Carl Hempel (Hempel 1942, 1965, and Hempel & Oppenheim 1948). These papers and the reaction to them have structured subsequent discussion concerning (...) scientific explanation to an extraordinary degree. After some general remarks by way of background and orientation (Section 1), this entry describes the DN model and its extensions, and then turns to some well-known objections (Section 2). It next describes a variety of subsequent attempts to develop alternative models of explanation, including Wesley Salmon's Statistical Relevance (Section 3) and Causal Mechanical (Section 4) models and the Unificationist models due to Michael Friedman and Philip Kitcher (Section 5). Section 6 provides a summary and discusses directions for future work. (shrink)

Necessity and sufficiency are the building blocks of all successful explanations. Yet despite their importance, these notions have been conceptually underdeveloped and inconsistently applied in explainable artificial intelligence, a fast-growing research area that is so far lacking in firm theoretical foundations. In this article, an expanded version of a paper originally presented at the 37th Conference on Uncertainty in Artificial Intelligence, we attempt to fill this gap. Building on work in logic, probability, and causality, we establish the central role (...) of necessity and sufficiency in XAI, unifying seemingly disparate methods in a single formal framework. We propose a novel formulation of these concepts, and demonstrate its advantages over leading alternatives. We present a sound and complete algorithm for computing explanatory factors with respect to a given context and set of agentive preferences, allowing users to identify necessary and sufficient conditions for desired outcomes at minimal cost. Experiments on real and simulated data confirm our method’s competitive performance against state of the art XAI tools on a diverse array of tasks. (shrink)

Competing Explanations of Competing Explanations: Accounting for Conflict Between Scientific and Folk ExplanationsThis paper focuses on the level of people’s explanatory reasoning. It examines why laypeople prefer folk explanations of various physical or biological phenomena to alternative, well‐understood scientific explanations. Shtulman and Legare call this psychological phenomenon “explanatory co‐existence.” On the basis of new experimental data, they evaluate two possible accounts of explanatory co‐existence, a theory‐based and an associative account, and argue that a theory‐based account (...) is the better supported. (shrink)

This paper examines the puzzling phenomenon of self-directed implicit bias in the form of gender “stereotype threat” (ST). Bringing to light the empirical undecidability of which account of this phenomenon is best, whether a rational or an associationist explanation, the paper aims to strengthen the associationist approach by appeal to a new account of seeing-as experiences. I critically examine “alief” accounts of reason-recalcitrant ST by bringing to bear arguments from the philosophy of emotion. The new account builds on the insights (...) and overcomes the weaknesses of “aliefs” by (a) employing associations that are imaginative and unreliable; and (b) proposing non-conceptual seeing-as experiences. (shrink)

This paper describes an alternative to the common view that explanation in the special sciences involves subsumption under laws. According to this alternative, whether or not a generalization can be used to explain has to do with whether it is invariant rather than with whether it is lawful. A generalization is invariant if it is stable or robust in the sense that it would continue to hold under a relevant if it is stable or robust in the sense (...) that it would continue to hold under a relevant class of changes. Unlike lawfulness, invariance comes in degrees and has other features that are well suited to capture the characteristics of explanatory generalizations in the special sciences. For example, a generalization can be invariant even if it has exceptions or holds only over a limited spatio-temporal interval. The notion of invariance can be used to resolve a number of dilemmas that arise in standard treatments of explanatory generalizations in the special sciences. (shrink)

Necessity and sufficiency are the building blocks of all successful explanations. Yet despite their importance, these notions have been conceptually underdeveloped and inconsistently applied in explainable artificial intelligence (XAI), a fast-growing research area that is so far lacking in firm theoretical foundations. Building on work in logic, probability, and causality, we establish the central role of necessity and sufficiency in XAI, unifying seemingly disparate methods in a single formal framework. We provide a sound and complete algorithm for computing explanatory (...) factors with respect to a given context, and demonstrate its flexibility and competitive performance against state of the art alternatives on various tasks. (shrink)

In this paper, I aim to provide access to the current debate on non-causal explanations in philosophy of science. I will first present examples of non-causal explanations in the sciences. Then, I will outline three alternative approaches to non-causal explanations – that is, causal reductionism, pluralism, and monism – and, corresponding to these three approaches, different strategies for distinguishing between causal and non-causal explanation. Finally, I will raise questions for future research on non-causal explanations.

This chapter provides a systematic overview of topological explanations in the philosophy of science literature. It does so by presenting an account of topological explanation that I (Kostić and Khalifa 2021; Kostić 2020a; 2020b; 2018) have developed in other publications and then comparing this account to other accounts of topological explanation. Finally, this appraisal is opinionated because it highlights some problems in alternative accounts of topological explanations, and also it outlines responses to some of the main criticisms (...) raised by the so-called new mechanists. (shrink)

There are two different, and somewhat competing, strategic explanations for why firms certify for ISO 14001. On the one hand, firms may seek to reinforce their present strategies thereby further enhancing their competitive advantage. On the other hand, firms may use ISO 14001 as a mechanism to reorient their strategies, so that a clear signal is sent about the firm's change in strategic positioning. This paper aims to identify the most likely explanation for early adopters of ISO 14001. Using (...) a matched pair design, we test these alternative explanations on a sample of US firms that certified for ISO 14001 in the first two years after its introduction. In particular, we tested whether ISO 14001 was used to reinforce or reorient firm strategies in respect to the natural environment, corporate social responsibility, quality, and internationalization. We found that firms that certified early for ISO 14001 had considerable environmental legitimacy and a strong international presence. We also found that the firm's commitment to corporate social responsibility and quality were not significantly different between certified and non-certified firms. These findings suggest that early adopters of ISO 14001 leaned towards reinforcing rather than reorienting their firm strategy, which calls into question the ultimate reach of ISO 14001. (shrink)

If the decades of the forties through the sixties were dominated by discussion of Hempel's “covering law“ explication of explanation, that of the seventies was preoccupied with Salmon's “statistical relevance” conception, which emerged as the principal alternative to Hempel's enormously influential account. Readers of Wesley C. Salmon's Scientific Explanation and the Causal Structure of the World, therefore, ought to find it refreshing to discover that its author has not remained content with a facile defense of his previous investigations; on (...) the contrary, Salmon offers an original account of different kinds of explications, advances additional criticisms of various alternative theories, and elaborates a novel “two-tiered“ analysis of explanation that tacitly depends upon a “two-tiered” account of homogeneity. Indeed, if the considerations that follow are correct, Salmon has not merely refined his statistical relevance account but has actually abandoned it in favor of a “causal/mechanistic“ construction. This striking development suggests that the theory of explanation is likely to remain as lively an arena of debate in the eighties as it has been in the past. (shrink)

In The Scientific Image B. C. van Fraassen argues that a theory of explanation ought to take the form of a theory of why-questions, and a theory of this form is what he provides. Van Fraassen's account of explanation is good, as far as it goes. In particular, van Fraassen's theory of why-questions adds considerable illumination to the problem of alternative explanations in psychodynamics. But van Fraassen's theory is incomplete because it ignores those classes of explanations that (...) are answers not to why-questions but to how-questions. In this article I provide a unified theory of explanatory questions that comprehends both how-questions and why-questions, and I show that a question-theoretic approach to explanation can be defended independently of van Fraassen's programme of Constructive Empiricism. (shrink)

In response to widespread use of automated decision-making technology, some have considered a right to explanation. In this paper I draw on insights from philosophical work on explanation to present a series of challenges to this idea, showing that the normative motivations for access to such explanations ask for something difficult, if not impossible, to extract from automated systems. I consider an alternative, outcomes-focused approach to the normative evaluation of automated decision-making, and recommend it as a way to (...) pursue the goods originally associated with explainability. (shrink)

This paper first identifies several plausible desiderata on satisfactory explanations of logical theorems, shows that ordinary grounding explanations cannot satisfy them and argues that there is reason to believe that no alternative grounding explanations of logical theorems can be given. It then develops an alternative explanation of logical theorems based on Yablo’s idea of reductive truthmaking. The resulting proposal invokes instances of reductive truthmaking that bear an interesting structural similarity to the notion of zero-ground, in (...) virtue of which it is able to satisfy the identified desiderata. (shrink)

Hill and Levine offer alternative explanations of these conceivabilities, concluding that these conceivabilities are thereby defeated as evidence. However, this strategy fails because their explanations generalize to all conceivability judgments concerning phenomenal states. Consequently, one could defend absolutely any theory of phenomenal states against conceivability arguments in just this way. This result conflicts with too many of our common sense beliefs about the evidential value of conceivability with respect to phenomenal states. The general moral is that the (...) application of such principles of explanatory defeat is neither simple nor straightforward. (shrink)

A substantial body of evidence shows that people tend to rely too heavily on explanations when trying to justify an opinion. Some research suggests these errors may arise from an inability to distinguish between explanations and the evidence that bears upon them. We examine an alternative account, that many people do distinguish between explanations and evidence, but rely more heavily on unsubstantiated explanations when evidence is scarce or absent. We examine the philosophical and psychological distinctions (...) between explanation and evidence, and show that participants use explanations as a substitute for missing evidence. Experiment 1 replicates the results of other researchers, but further shows that participants generate more evidence when they are not constrained by their lack of data. Merely mentioning a source of data can alter both their evaluation (Experiment 2) and their production (Experiment 3) of explanations and evidence. In Experiment 4, we show that participants can explicitly consider the availability of evidence and other pragmatic factors when evaluating arguments. Finally, we consider the implications of using explanations to replace missing evidence as a strategy in argument. (shrink)