An archive of Mark Sharlow's two blogs, "The Unfinishable Scroll" and "Religion: the Next Version." Covers Sharlow's views on metaphysics, epistemology, mind, science, religion, and politics. Includes topics and ideas not found in his papers.

In his groundbreaking book, Thin Objects, Linnebo (2018) argues for an account of neo-Fregean abstraction principles and thin existence that does not rely on analyticity or conceptual rules. It instead relies on a metaphysical notion he calls “sufficiency”. In this short discussion, I defend the analytic or conceptual rule account of thin existence.

The debate over the meanings of indexical expressions has relied heavily on the method of counterexamples. This paper challenges that method by showing that purported counterexamples can often be explained away by appeal to perspective shifts. For these counterexamples to establish anything about indexical reference, we must identify the conditions under which theorists can legitimately appeal to perspective shifts. Some tests for semantic content are considered and it is argued that none of them can tell us when appeal to perspective (...) shift is admissible. The paper then considers how we should proceed if we become convinced that there is no way to identify the content of indexical expressions, offering reasons in favour of a nihilist conception of character over an epistemicist or pluralist conception. (shrink)

Unfortunately, many people today see the regulation of lies, disinformation, hate speech, and fake news as an infringement of free speech, at least when such speech is ‘political,’ despite the damage that such speech can do. But this very protective attitude toward speech rests on a mistaken understanding of the role of free speech in a liberal society. The right to free speech is based on the liberal value of freedom, and as such can be no broader than freedom itself. (...) And freedom has always been subject to reasonable limits in a liberal society. Indeed, while the principles of toleration and neutrality are often cited as supporting a broad interpretation of the right to free speech, they also tell us that certain limits apply to that right. We need not tolerate speech that encourages intolerance, and while government should be neutral between reasonable conceptions of the good, it need not be neutral between reasonable and unreasonable conceptions. These ideas form the framework of liberal society, and as I shall show, also provide a guide for understanding what kind of speech is protected in a liberal society and what it is not. (shrink)

I have argued elsewhere that the psychological aspects of Nietzsche’s later works are best understood from a psychodynamic point of view. Nietzsche holds a view I dubbed the tenacity of the intentional (T): when an intentional state loses its object, a new object replaces the original; the state does not disappear entirely. In this essay I amend and clarify (T) to (T``): When an intentional state with a sub-propositional object loses its object, the affective component of the state persists without (...) a corresponding object, and that affect will generally be redeployed in a state with a distinct object. I then trace the development of the tenacity thesis through Nietzsche’s early and middle works. Along the way, I discuss a number of related topics, including the scope of the tenacity thesis (does it apply to all intentional states?), the reflexive turn one often finds in Nietzsche’s examples (why does he so often say the new object is oneself?), and the relations among will to power, drives, and the tenacity of the intentional. (shrink)

It doesn’t seem possible to be a realist about the traditional Christian God while claiming to be able to reduce God talk in naturalistically acceptable terms. Reduction, in this case, seems obviously eliminativist. Many philosophers seem to think that the same is true of the normative—that reductive “realists” about the normative are not really realists about the normative at all, or at least, only in some attenuated sense. This paper takes on the challenge of articulating what it is that makes (...) reductive theological realism look hopeless, with the aim of explaining why we should think that the normative is relevantly different. Although it follows from my diagnosis that reductivists have their work cut out for them, I find nothing which suggests that the prospects for a successful reductive realism about the normative are in any way diminished—particularly for reductive views about reasons. Even reductivists, I argue, can at least aspire to a realism that is robust. (shrink)

The best writing of Mark Pettinelli, about cognitive psychology, cognitive science, etc.

Hume argues that we succumb to the vice of prejudice when we fail to correct negative generalizations about social groups in the face of counter-evidence. We are blameworthy for these biases, moreover, even if they are unavoidable. Hume’s theory of doxastic responsibility entails that his own racial prejudices are deserving of condemnation. In contrast, contemporary vice epistemologists are more inclined to absolve agents of culpability for prejudices beyond their control.

Expressivism’s central idea is that normative sentences bear the same relation to non-cognitive attitudes that ordinary descriptive sentences bear to beliefs: the expression relation. Allan Gibbard teIls us that “that words express judgments will be accepted by almost everyone” - the distinctive contribution of expressivism, his claim goes, is only a view about what kind of judgments words express. But not every account of the expression relation is equally suitable for the expressivist’s purposes. In fact, what I argue in this (...) paper, considering four possible accounts of expression, is that how suitable each account is for the expressivist’s purpose varies in proportion to how controversial it is. So Gibbard is wrong - if expression is to get expressivism off the ground, then it will be enormously controversial whether words do express judgments. And thus expressivism is committed to strong claims about the semantics of non-normative language. (shrink)

Provides an overview of Mark Sharlow's philosophical work with summaries of his positions. Includes references and links to his writings.

Keepsakes are nostalgic objects par excellence. We value keepsakes because they prompt nostalgic memories of the past. But perhaps more importantly, we also value them because they afford a feeling of contact with that which they remind us of. Drawing on work in philosophy and psychology, this chapter aims to give an account of the nature and value of keepsakes as nostalgic objects. Keepsakes, it argues, are objects that bear a material continuity with some person, event, or place from one’s (...) past to which one has a personal attachment. To understand the distinctive experiential value of keepsakes as nostalgic objects, however, the chapter argues that we need to invoke the imagination. Keepsakes manifest the presence of the past by prompting one to imaginatively project what a keepsake is historically connected with onto the object as one experiences it in the present. (shrink)

Reasons, it is often said, are king in contemporary normative theory. Some philosophers say not only that the vocabulary of reasons is useful, but that reasons play a fundamental explanatory role in normative theory—that many, most, or even all, other normative facts are grounded in facts about reasons. Even if reasons fundamentalism, the strongest version of this view, has only been wholeheartedly endorsed by a few philosophers, it has a kind of prominence in contemporary normative theory that suits it to (...) be described as orthodoxy by its critics. It is the purpose of this paper to make progress toward understanding what appeal Reasons Fundamentalism should have, and whether that appeal is deserved. I will do so by exploring and comparing two central motivations for Reasons Fundamentalism. (shrink)

Orwell’s views on the nature of free speech are significantly more complex than is often recognized. This paper examines what he had to say about freedom of speech and intellectual freedom. It seeks to provide a philosophical analysis of his understanding and use of these concepts and to address some apparent tensions in his thought. In so doing, the paper identifies five dominant aspects of Orwell’s account of free speech. He viewed free speech as closely related to intellectual freedom, which (...) he highly valued; he treated free speech as primarily about the ability to say what one believes to be true; he thought that both government and various kinds of private actors posed serious threats to free speech; he believed that free speech required social safeguards, in addition to legal protection; and he recognized that free speech was a right with limits. He wrote little about the freedom of speech for liars. The paper concludes with the observation that he, therefore, left us with a number of crucial questions to discuss and think about for ourselves. (shrink)

Abstract: Recently, the experimental philosopher Joshua Knobe has shown that the folk are more inclined to describe side effects as intentional actions when they bring about bad results. Edouard Machery has offered an intriguing new explanation of Knobe's work—the 'trade-off hypothesis'—which denies that moral considerations explain folk applications of the concept of intentional action. We critique Machery's hypothesis and offer empirical evidence against it. We also evaluate the current state of the debate concerning the concept of intentionality, and argue that, (...) given the number of variables at play, any parsimonious account of the relevant data is implausible. (shrink)

Using path-breaking discoveries of cognitive science, Mark Johnson argues that humans are fundamentally imaginative moral animals, challenging the view that morality is simply a system of universal laws dictated by reason. According to the Western moral tradition, we make ethical decisions by applying universal laws to concrete situations. But Johnson shows how research in cognitive science undermines this view and reveals that imagination has an essential role in ethical deliberation. Expanding his innovative studies of human reason in Metaphors We (...) Live By and The Body in the Mind, Johnson provides the tools for more practical, realistic, and constructive moral reflection. (shrink)

Kerr coined the term ‘HARKing’ to refer to the practice of ‘hypothesizing after the results are known’. This questionable research practice has received increased attention in recent years because it is thought to have contributed to low replication rates in science. The present article discusses the concept of HARKing from a philosophical standpoint and then undertakes a critical review of Kerr’s twelve potential costs of HARKing. It is argued that these potential costs are either misconceived, misattributed to HARKing, lacking evidence, (...) or that they do not take into account pre- and post-publication peer review and public availability to research materials and data. It is concluded that it is premature to conclude that HARKing has led to low replication rates. (shrink)

This article is one of the final works of Mark Pettinelli and discusses feelings, emotions and cognitive psychology.

This chapter puts to rest for all of eternity the self-undermining charge against conciliationism.

Particularists in ethics emphasize that the normative is holistic, and invite us to infer with them that it therefore defies generalization. This has been supposed to present an obstacle to traditional moral theorizing, to have striking implications for moral epistemology and moral deliberation, and to rule out reductive theories of the normative, making it a bold and important thesis across the areas of normative theory, moral epistemology, moral psychology, and normative metaphysics. Though particularists emphasize the importance of the holism of (...) the normative, however, it is not something that they have been able to explain. In this paper I’ll show how to use a small number of simple and, I’ll argue, independently compelling assumptions in order to both predict and explain the holistic features of the normative with respect to the non-normative. The basic idea of the paper is simple. It is that normative claims are holistic because they are general, rather than because they defy generalization. (shrink)

This paper addresses the question: ‘what makes reasons sufficient?’ and offers the answer, ‘being at least as weighty as the reasons for the alternatives’. The paper starts by introducing some of the reasons why sufficiency has seemed difficult to understand, particularly in epistemology, and some circumstantial evidence that this has contributed to more general problems in the epistemological literature. It then introduces the positive account of sufficiency, and explains how this captures sufficiency in both the practical and epistemic domains. Finally, (...) the paper shows how once we understand the nature of sufficiency, it is easy to predict the full variety of ways in which rationality – both of action and of belief – can be defeated. (shrink)

Quietist Moral Realists accept that there are moral facts and properties, while aiming to avoid many of the explanatory burdens thought to fall on traditional moral realists. This chapter examines the forms that Quietist Moral Realism has taken and the challenges it has faced, in order to better assess its prospects. The best hope, this chapter argues, lies in a pragmatist approach that distinguishes the different functions of diverse areas of discourse. This paves the way for a form of Quietism (...) that does not simply remain quiet about the explanatory demands of metaethics, but rather is able to diagnose where they go wrong. By combining a neopragmatic analysis of the discourse with an easy approach to ontology, , we can develop a form of Quietist Moral Realism that is far stronger than critics of quietism have appreciated. (shrink)

Philosophers have come to distinguish between ‘right’ and ‘wrong’ kinds of reasons for belief, intention, and other attitudes. Several theories about the nature of this distinction have been offered, by far the most prevalent of which is the idea that it is, at bottom, the distinction between what are known as ‘object-given’ and ‘state-given’ reasons. This paper argues that the object-given/state-given theory vastly overgeneralizes on a small set of data points, and in particular that any adequate account of the distinction (...) between the ‘right’ and ‘wrong’ kinds of reason must allow state-given reasons to be of the right kind. The paper has three main goals, corresponding to its three main parts. In part 1 I set up the problem by introducing the right-kind/wrong-kind distinction, the object-given/state-given distinction, and the object-given/state-given theory, according to which the former distinction simply amounts to the latter. Part 2 presents the main argument of the paper: I argue against the object-given/state-given theory by showing that all of the earmarks of the ‘right’ and ‘wrong’ kinds of reason apply to reasons not to intend and not to believe, but that these cases can’t be captured by the object-given/state-given theory. Finally, in part 3 I use these arguments to motivate and explore a more general hypothesis about the rightkind/wrong-kind distinction, and explore some of the consequences of rejecting the object-given/stategiven theory. (shrink)

Rodriguez-Pereyra (2006) argues for the disjunction thesis but against the conjunction thesis. I argue that accepting the disjunction thesis undermines his argument against the conjunction thesis.

Michael Ridge claims to have ‘finessed’ the Frege-Geach Problem ‘on the cheap’. In this short paper I explain a couple of the reasons why this thought is premature.

Several authors have recently endorsed the thesis that there is what has been called pragmatic encroachment on knowledge—in other words, that two people who are in the same situation with respect to truth-related factors may differ in whether they know something, due to a difference in their practical circumstances. This paper aims not to defend this thesis, but to explore how it could be true. What I aim to do, is to show how practical factors could play a role in (...) defeating knowledge by defeating epistemic rationality—the very kind of rationality that is entailed by knowledge, and in which Pascalian considerations do not play any role—even though epistemic rationality consists in having adequate evidence. (shrink)

Jago uses a Fitch-style argument in an attempt to demonstrate that every truth has a truthmaker. But Trueman shows that there is a parallel argument, this time to the conclusion that no truth has a truthmaker. Since we cannot accept both, we must ditch at least one Fitch. But which? Keywords: Truth, truthmaking, truthmaker maximalism, Fitch paradox, Robert Trueman.

Nondescriptivist views in many areas of philosophy have long been associated with the commitment that in contrast to other domains of discourse, there are no propositions in their particular domain. For example, the ‘no truth conditions’ theory of conditionals1 is understood as the view that conditionals don’t express propositions, noncognitivist expressivism in metaethics is understood as advocating the view that there are not really moral propositions,2 and expressivism about epistemic modals is thought of as the view that there is no (...) such thing as the proposition that Jack might be at home, over and above the proposition that Jack is at home.3 Of course, it is nearly always acknowledged that advocates of a nondescriptivist theory need not deny that there are conditional, moral, or modal propositions ‘at the end of the day’ – for if they also endorse a deflationary reading of talk about propositions, as famously advocated by Simon Blackburn, then they can employ such deflationary talk just as much as the rest of us. They just don’t appeal to propositions to do any of the work in their theories. Rather, they ‘earn the right’ to talk about propositions.4 It is the aim of this paper to upset this way of thinking about the proper attitude of nondescriptivists toward propositions, and to advocate a more constructive and in some ways more radical alternative on behalf of the nondescriptivist. I will begin by introducing and developing a set of problems that are faced by any nondescriptivist theory which tries to do without propositions. All of these problems are easily solved by any view which postulates propositions across the board, but none of them are solved by merely deflationary talk about propositions – their most promising solutions require propositions to do real theoretical work, and therefore the problems themselves remind us of and illustrate some of the important reasons why it is worth positing propositions in the first place.. (shrink)

Several researchers have recently argued that p values lose their meaning in exploratory analyses due to an unknown inflation of the alpha level (e.g., Nosek & Lakens, 2014; Wagenmakers, 2016). For this argument to be tenable, the familywise error rate must be defined in relation to the number of hypotheses that are tested in the same study or article. Under this conceptualization, the familywise error rate is usually unknowable in exploratory analyses because it is usually unclear how many hypotheses have (...) been tested on a spontaneous basis and then omitted from the final research report. In the present article, I argue that it is inappropriate to conceptualize the familywise error rate in relation to the number of hypotheses that are tested. Instead, it is more appropriate to conceptualize familywise error in relation to the number of different tests that are conducted on the same null hypothesis in the same study. Under this conceptualization, alpha level adjustments in exploratory analyses are (a) less necessary and (b) objectively verifiable. As a result, p values do not lose their meaning in exploratory analyses. (shrink)

Douglas Portmore has recently argued in this journal for a "promising result" – that combining teleological ethics with "evaluator relativism" about the good allows an ethical theory to account for deontological intuitions while "accommodat[ing] the compelling idea that it is always permissible to bring about the best available state of affairs." I show that this result is false. It follows from the indexical semantics of evaluator relativism that Portmore's compelling idea is false. I also try to explain what might have (...) led to this misunderstanding. (shrink)

For years now, unionization has been under vigorous attack. Membership has been steadily declining, and with it union bargaining power. As a result, unions may soon lose their ability to protect workers from economic and personal abuse, as well as their significance as a political force. In the Name of Liberty responds to this worrying state of affairs by presenting a new argument for unionization, one that derives an argument for universal unionization in both the private and public sector from (...) concepts of liberty that we already accept. In short, In the Name of Liberty reclaims the argument for liberty from the political right, and shows how liberty not only requires the unionization of every workplace as a matter of background justice, but also supports a wide variety of other progressive policies. (shrink)

This paper will examine the nature of mechanisms and the distinction between the relevant and irrelevant parts involved in a mechanism’s operation. I first consider Craver’s account of this distinction in his book on the nature of mechanisms, and explain some problems. I then offer a novel account of the distinction that appeals to some resources from Mackie’s theory of causation. I end by explaining how this account enables us to better understand what mechanisms are and their various features.

Generic generalisations like ‘Opioids are highly addictive’ are very useful in scientific communication, but they can often be interpreted in many different ways. Although this is not a problem when all interpretations provide the same answer to the question under discussion, a problem arises when a generic generalisation is used to answer a question other than that originally intended. In such cases, some interpretations of the generalisation might answer the question in a way that the original speaker would not endorse. (...) Rather than excising generic generalisations from scientific communication, I recommend that scientific communicators carefully consider the kinds of questions their words might be taken to answer and try to avoid phrasing that might be taken to provide unintended answers. (shrink)

Research notes of Mark Pettinelli about cognitive science, cognitive psychology.

This collection of articles is almost all of the psychological writings of Mark Pettinelli.

Beliefs are concrete particulars containing ideas of properties and notions of things, which also are concrete. The claim made in a belief report is that the agent has a belief (i) whose content is a specific singular proposition, and (ii) which involves certain of the agent's notions and ideas in a certain way. No words in the report stand for the notions and ideas, so they are unarticulated constituents of the report's content (like the relevant place in "it's raining"). The (...) belief puzzles (Hesperus, Cicero, Pierre) involve reports about two different notions. So the analysis gets the puzzling truth values right. (shrink)

Interpreters have noticed that Nietzsche, in addition to sometimes being uproariously funny, reflects more on laughter and having a sense of humor than almost any other philosopher. Several scholars have further noticed that Nietzschean laughter sometimes seems to have an epistemic function. In this chapter, I therefore assume that Nietzsche is a pluralist about the functions of humor and laughter, and seek to establish the uses he finds for them. I offer an interpretation according to which he tactically uses humor (...) and laughter for epistemic purposes. His epistemic aims include enabling inquiry (when faith and reverence might have forbidden it), achieving knowledge (for himself or for his reader), and abandoning error (again for himself or for his reader). Humor supports these goals by inducing contempt and the laughter that expresses (and sometimes also conjures) it. (shrink)

Remembering that there’s a difference between intellectual and perceptual attention can help us avoid miscommunication due to meaning different things by the same terms, which has been a particular problem during the last hundred years or so of the study of attention. I demonstrate this through analyzing in depth one such miscommunication that occurred in a philosophical criticism of the influential psychological text, Inattentional Blindness. But after making the distinction between perceptual attention and intellectual attention, and after making an effort (...) to keep this distinction in mind, we are still faced with the problem of specifying what makes intellectual attention distinct from perceptual attention. In the second half of this article, I discuss the range of proposals about how to understand intellectual attention that are present in the literature, and the problems with them. I do this with the aim of stimulating further discussion about how best to conceptualize intellectual attention, although I do not settle that further question within this paper. (shrink)

Ethical, Legal and Social Aspects (ELSA) originated in the 4thEuropean Research Framework Programme (1994) andresponsible research and innovation (RRI) from the EC researchagenda in 2010. ELSA has received renewed attention inEuropean funding schemes and research. This raises the questionof how these two approaches to social responsibility relate toone another and if there is the possibility to align. There is aneed to evaluate the relationship/overlap between ELSA and RRIbecause there is a possibility that new ELSA research will reinventthe wheel if it (...) does not engage with the body of literaturealready present in RRI research. This provides unneeded extrabureaucracy, reformulations of research agendas, extrainvestment, and an overabundance of frameworks to implement,and ELSA research does not take advantage of the body ofresearch developed in RRI. This paper evaluates how ELSA andRRI diverge, are complementary, and can be aligned. (shrink)

forthcoming in reisner and steglich-peterson, eds., Reasons for Belief If I believe, for no good reason, that P and I infer (correctly) from this that Q, I don’t think we want to say that I ‘have’ P as evidence for Q. Only things that I believe (or could believe) rationally, or perhaps, with justification, count as part of the evidence that I have. It seems to me that this is a good reason to include an epistemic acceptability constraint on evidence (...) possessed…1 It is a truism that adopting an unjustified belief does not put you in a better evidential position with respect to believing its consequences. This truism has led many philosophers to assume that there must, at a minimum, be a justification condition (and perhaps even a knowledge condition) on what it takes to count as having evidence. This is the best (or only) possible explanation of the truism, these philosophers have believed. This paper explores an alternative explanation for the truism. According to the alternative explanation that I will offer, unjustified beliefs do not put you in a better evidential position with respect to believing their consequences because any evidence you have in virtue of having an unjustified belief is guaranteed to be defeated. Since the lack of justification for a belief guarantees its defeat, I will suggest, we don't need to postulate a special justification condition (much less a knowledge condition) on what it takes to count as having evidence. Why is this important? It is important because the assumption that there must be a justification condition (or perhaps a knowledge condition) on what it takes to count as having evidence places a high bar on what it takes to have evidence - such a high bar that it is difficult to see how this bar could be met in the case of basic, perceptually justified beliefs. As a result, the high bar set by this condition plays a fundamental role, I will claim, in central features of a core dialectic from the epistemology of basic perceptual belief which plays a central role in the debates between internalism and externalism, foundationalism and coherentism, and rationalism and empiricism.. (shrink)

The twentieth century was a century of progress. During those hundred years, humanity progressed from a world without airplanes, computers, or modern medicine to a new era in which these technological miracles were commonplace. These technical achievements were not the only accomplishments of that fateful century. There also were vast changes in social thought, with great steps forward toward human equality and freedom — the struggle for racial equality, the recognition of women's rights, and the defeat of the new, unprecedented (...) menaces of Nazism and, in many places, of Communism. (shrink)

Fitting Attitudes accounts of value analogize or equate being good with being desirable, on the premise that ‘desirable’ means not, ‘able to be desired’, as Mill has been accused of mistakenly assuming, but ‘ought to be desired’, or something similar. The appeal of this idea is visible in the critical reaction to Mill, which generally goes along with his equation of ‘good’ with ‘desirable’ and only balks at the second step, and it crosses broad boundaries in terms of philosophers’ other (...) commitments. For example, Fitting Attitudes accounts play a central role both in T.M. Scanlon’s [1998] case against teleology, and in Michael Smith [2003], [unpublished] and Doug Portmore’s [2007] cases for it. And of course they have a long and distinguished history. (shrink)

Philosophers have wanted to work with conceptions of word-competence, or concept-possession, on which being a competent practitioner with a word amounts to being a competent judge of its uses by others. I argue that our implicit conception of competence with a word does not have this presupposition built into it. One implication of this is what I call "modesty" in interpretation: we allow for others, uses of words that we would not allow for ourselves. I develop this point by looking (...) at Saul Kripke's discussion of some famous examples given by Benson Mates, concerning beliefs about beliefs. I defend Mates's point against Kripke's claim that an interpreter who is modest in my sense must be "conceptually confused." . (shrink)

I develop and defend a truthmaker semantics for the relevant logic R. The approach begins with a simple philosophical idea and develops it in various directions, so as to build a technically adequate relevant semantics. The central philosophical idea is that truths are true in virtue of specific states. Developing the idea formally results in a semantics on which truthmakers are relevant to what they make true. A very natural notion of conditionality is added, giving us relevant implication. I then (...) investigate ways to add conjunction, disjunction, and negation; and I discuss how to justify contraposition and excluded middle within a truthmaker semantics. (shrink)

What is it to have a reason? According to one common idea, the "Factoring Account", you have a reason to do A when there is a reason for you to do A which you have--which is somehow in your possession or grasp. In this paper, I argue that this common idea is false. But though my arguments are based on the practical case, the implications of this are likely to be greatest in epistemology: for the pitfalls we fall into when (...) trying to defend the Factoring Account reflect very well the major developments in empiricist epistemology during the 20th century. I conjecture that this is because epistemologists have been--wrongly--wedded to the Factoring Account about evidence, which I conjecture is a certain kind of reason to believe. (shrink)

An account of distinctively mathematical explanation (DME) should satisfy three desiderata: it should account for the modal import of some DMEs; it should distinguish uses of mathematics in explanation that are distinctively mathematical from those that are not (Baron [2016]); and it should also account for the directionality of DMEs (Craver and Povich [2017]). Baron’s (forthcoming) deductive-mathematical account, because it is modelled on the deductive-nomological account, is unlikely to satisfy these desiderata. I provide a counterfactual account of DME, the Narrow (...) Ontic Counterfactual Account (NOCA), that can satisfy all three desiderata. NOCA appeals to ontic considerations to account for explanatory asymmetry and ground the relevant counterfactuals. NOCA provides a unification of the causal and the non-causal, the ontic and the modal, by identifying a common core that all explanations share and in virtue of which they are explanatory. (shrink)