At least since Descartes, philosophers have been interested in the special knowledge or authority that we exhibit when we speak about our own thoughts, attitudes, and feelings. This book contends that even the best work in contemporary philosophy of mind fails to account for this sort of knowledge or authority because it does not pay the right sort of attention to the notion of expression. What's at stake is not only how to understand self-knowledge and first-person authority, but also what (...) it is that distinguishes conscious from unconscious psychological states, what the mental life of a nonlinguistic animal has in common with our sort of mental life, and how to think about Wittgenstein's legacy to the philosophy of mind. (shrink)

This biography of Emil du Bois-Reymond, the most important forgotten intellectual of the nineteenth century, received an Honorable Mention for History of Science, Medicine, and Technology at the 2013 PROSE Awards, was shortlisted for the 2014 John Pickstone Prize (Britain's most prestigious award for the best scholarly book in the history of science), and was named by the American Association for the Advancement of Science as one of the Best Books of 2014. -/- In his own time (1818–1896) du Bois-Reymond (...) grew famous for his groundbreaking research in neuroscience and his provocative addresses on politics and culture. His discovery of the electrical transmission of nerve signals, his innovations in laboratory instrumentation, and his reductionist methodology all helped lay the foundations of modern neuroscience. -/- In addition to describing the pioneering experiments that earned du Bois-Reymond a seat in the Prussian Academy of Sciences and a professorship at the University of Berlin, this book also recounts du Bois-Reymond’s family origins, private life, public service, and lasting influence. In talks that touched on science, philosophy, history, and literature, du Bois-Reymond introduced Darwin to German students (triggering two days of debate in the Prussian parliament), asked on the eve of the Franco-Prussian War whether France had forfeited its right to exist, and proclaimed the mystery of consciousness, heralding the age of doubt. The first modern biography in any language, "Emil du Bois-Reymond" recovers an important chapter in the history of science, the history of ideas, and the history of Germany. (shrink)

Many philosophers in the field of meta-ethics believe that rational degrees of confidence in moral judgments should have a probabilistic structure, in the same way as do rational degrees of belief. The current paper examines this position, termed “moral Bayesianism,” from an empirical point of view. To this end, we assessed the extent to which degrees of moral judgments obey the third axiom of the probability calculus, ifP(A∩B)=0thenP(A∪B)=P(A)+P(B), known as finite additivity, as compared to degrees of beliefs on the one (...) hand and degrees of desires on the other. Results generally converged to show that degrees of moral judgment are more similar to degrees of belief than to degrees of desire in this respect. This supports the adoption of a Bayesian approach to the study of moral judgments. To further support moral Bayesianism, we also demonstrated its predictive power. Finally, we discuss the relevancy of our results to the meta-ethical debate between moral cognitivists and moral non-cognitivists. (shrink)

If we try to evaluate the sentence on line 1 we ¯nd ourselves going in an unending cycle. For this reason alone we may conclude that the sentence is not true. Moreover we are driven to this conclusion by an elementary argument: If the sentence is true then what it asserts is true, but what it asserts is that the sentence on line 1 is not true. Consequently the sentence on line 1 is not true. But when we write this (...) true conclusion on line 2 we ¯nd ourselves repeating the very same sentence. It seems that we are unable to deny the truth of the sentence on line 1 without asserting it at the same time. (shrink)

This article seeks to establish that the social sciences have an important contribution to make to the study of ethics. The discussion is framed around three questions: (i) what theoretical work can the social sciences contribute to the understanding of ethics? (ii) what empirical work can the social sciences contribute to the understanding of ethics? And (iii) how does this theoretical and empirical work combine, to enhance the understanding of how ethics, as a field of analysis and debate, is socially (...) constituted and situated? Through these questions the argument goes beyond the now commonly cited objection to the over‐simplistic division between normative and descriptive ethics (that assigns the social sciences the ‘handmaiden’ role of simply providing the ‘facts’). In extending this argument, this article seeks to establish, more firmly and in more detail, that: (a) the social sciences have a longstanding theoretical interest analysing the role that a concern with ethics plays in explanations of social change, social organisation and social action; (b) the explanations that are based on the empirical investigations conducted by social scientists exemplify the interplay of epistemological and methodological analyses so that our understanding of particular substantive issues is extended beyond the conventional questions raised by ethicists, and (c) through this combination of theoretical and empirical work, social scientists go beyond the specific ethical questions of particular practices to enquire further into the social processes that lie behind the very designation of certain matters as being ‘ethical issues’. (shrink)

The goal of this paper is a comprehensive analysis of basic reasoning patterns that are characteristic of vague predicates. The analysis leads to rigorous reconstructions of the phenomena within formal systems. Two basic features are dealt with. One is tolerance: the insensitivity of predicates to small changes in the objects of predication (a one-increment of a walking distance is a walking distance). The other is the existence of borderline cases. The paper shows why these should be treated as different, though (...) related phenomena. Tolerance is formally reconstructed within a proposed framework of contextual logic, leading to a solution of the Sorites paradox. Borderline-vagueness is reconstructed using certain modality operators; the set-up provides an analysis of higher order vagueness and a derivation of scales of degrees for the property in question. (shrink)

In his classic book “the Foundations of Statistics” Savage developed a formal system of rational decision making. The system is based on (i) a set of possible states of the world, (ii) a set of consequences, (iii) a set of acts, which are functions from states to consequences, and (iv) a preference relation over the acts, which represents the preferences of an idealized rational agent. The goal and the culmination of the enterprise is a representation theorem: Any preference relation that (...) satisfies certain arguably acceptable postulates determines a (finitely additive) probability distribution over the states and a utility assignment to the consequences, such that the preferences among acts are determined by their expected utilities. Additional problematic assumptions are however required in Savage's proofs. First, there is a Boolean algebra of events (sets of states) which determines the richness of the set of acts. The probabilities are assigned to members of this algebra. Savage's proof requires that this be a σ-algebra (i.e., closed under infinite countable unions and intersections), which makes for an extremely rich preference relation. On Savage's view we should not require subjective probabilities to be σ-additive. He therefore finds the insistence on a σ-algebra peculiar and is unhappy with it. But he sees no way of avoiding it. Second, the assignment of utilities requires the constant act assumption: for every consequence there is a constant act, which produces that consequence in every state. This assumption is known to be highly counterintuitive. The present work contains two mathematical results. The first, and the more difficult one, shows that the σ-algebra assumption can be dropped. The second states that, as long as utilities are assigned to finite gambles only, the constant act assumption can be replaced by the more plausible and much weaker assumption that there are at least two non-equivalent constant acts. The second result also employs a novel way of deriving utilities in Savage-style systems -- without appealing to von Neumann-Morgenstern lotteries. The paper discusses the notion of “idealized agent" that underlies Savage's approach, and argues that the simplified system, which is adequate for all the actual purposes for which the system is designed, involves a more realistic notion of an idealized agent. (shrink)

Haim Gordon; Nietzsche's Zarathustra as Educator, Journal of Philosophy of Education, Volume 14, Issue 2, 30 May 2006, Pages 181–192, https://doi.org/10.1111/j.

Professeur Finkelstein avait posée la question, pourquoi, bien que leurs réalisations scientifiques et leur scientifique approche soient similaires, Bernard était beaucoup plus connu dans son pays, France, et à son époque, que Bois-Reymond en Allemagne? Une question similaire a été posée au sujet du pourquoi Darwin est connu pour la théorie de l'évolution, tandis que Wallace a été remis en arrière-fond dans leur temps et dans l'histoire. Selon Finkelstein, la cause de la differences entre Bois-Reymond et Bernard, peut (...) être trouvée dans la culture et la place de la science dans l'œil public en France contre les memes choses en Allemagne. C'est-à-dire, la rhétorique de la science a été plus respectée en France qu'en Allemagne, ce que Finkelstein a soutenu avec persuasion et éloquence. (shrink)

The semantic paradoxes, whose paradigm is the Liar, played a crucial role at a crucial juncture in the development of modern logic. In his 1908 seminal paper, Russell outlined a system, soon to become that of the Principia Mathematicae, whose main goal was the solution of the logical paradoxes, both semantic and settheoretic. Russell did not distinguish between the two and his theory of types was designed to solve both kinds in the same uniform way. Set theoreticians, however, were content (...) to treat only the set-theoretic paradoxes, putting aside the semantic ones as a non-mathematical concern. This separation was explicitly proposed, eighteen years after Russell’s paper, by Ramsey, though he, like Russell, advocated a system that addresses both kinds. Since then, the semantic paradoxes have been viewed within the perspective of the theory of truth, where they have occupied a respectable niche, but one of rather specialized interest. (shrink)

We present experimental evidence that supports the thesis :602–625, 2015, Br J Philos Sci 70:77–102, 2019; Bradley in Decisions theory with a human face, Cambridge University Press, Cambridge, 2017; Goldschmidt and Nissan-Rozen in Synthese 198:7553–7575, 2021) that people might positively or negatively desire risky prospects conditional on only some of the prospects’ outcomes obtaining. We argue that this evidence has important normative implications for the central debate in normative decision theory between two general approaches on how to rationalize several common (...) patterns of preference, which are ruled out as irrational by orthodox decision theory, namely the re-individuation approach and the non-expected utility approach. (shrink)

There are three sections in this paper. The first is a philosophical discussion of the general problem of reasoning under limited deductive capacity. The second sketches a rigorous way of assigning probabilities to statements in pure arithmetic; motivated by the preceding discussion, it can nonetheless be read separately. The third is a philosophical discussion that highlights the shifting contextual character of subjective probabilities and beliefs.

In this work we give a complete answer as to the possible implications between some natural properties of Lebesgue measure and the Baire property. For this we prove general preservation theorems for forcing notions. Thus we answer a decade-old problem of J. Baumgartner and answer the last three open questions of the Kunen-Miller chart about measure and category. Explicitly, in \S1: (i) We prove that if we add a Laver real, then the old reals have outer measure one. (ii) We (...) prove a preservation theorem for countable-support forcing notions, and using this theorem we prove (iii) If we add ω 2 Laver reals, then the old reals have outer measure one. From this we obtain (iv) $\operatorname{Cons}(\mathrm{ZF}) \Rightarrow \operatorname{Cons}(\mathrm{ZFC} + \neg B(m) + \neg U(m) + U(c))$ . In \S2: (i) We prove a preservation theorem, for the finite support forcing notion, of the property " $F \subseteq ^\omega\omega$ is an unbounded family." (ii) We introduce a new forcing notion making the old reals a meager set but the old members of ω ω remain an unbounded family. Using this we prove (iii) $\operatorname{Cons}(\mathrm{ZF}) \Rightarrow \operatorname{Cons}(\mathrm{ZFC} + U(m) + \neg B(c) + \neg U(c) + C(c))$ . In \S3: (i) We prove a preservation theorem, for the finite support forcing notion, of a property which implies "the union of the old measure zero sets is not a measure zero set," and using this theorem we prove (ii) $\operatorname{Cons}(\mathrm{ZF}) \Rightarrow \operatorname{Cons}(\mathrm{ZFC} + \neg U(m) + C(m) + \neg C(c))$. (shrink)

Non-standard models were introduced by Skolem, first for set theory, then for Peano arithmetic. In the former, Skolem found support for an anti-realist view of absolutely uncountable sets. But in the latter he saw evidence for the impossibility of capturing the intended interpretation by purely deductive methods. In the history of mathematics the concept of a nonstandard model is new. An analysis of some major innovations–the discovery of irrationals, the use of negative and complex numbers, the modern concept of function, (...) and non-Euclidean geometry–reveals them as essentially different from the introduction of non-standard models. Yet, non-Euclidean geometry, which is discussed at some length, is relevant to the present concern; for it raises the issue of intended interpretation. The standard model of natural numbers is the best candidate for an intended interpretation that cannot be captured by a deductive system. Next, I suggest, is the concept of a wellordered set, and then, perhaps, the concept of a constructible set. One may have doubts about a realistic conception of the standard natural numbers, but such doubts cannot gain support from non-standard models. Attempts to utilize non-standard models for an anti-realist position in mathematics, which appeal to meaning-as-use, or to arguments of the kind proposed by Putnam, fail through irrelevance, or lead to incoherence. Robinson’s skepticism, on the other hand, is a coherent position, though one that gives up on providing a detailed philosophical account. The last section enumerates various uses of non-standard models. (shrink)

The paper is concerned with the way in which “ontology” and “realism” are to be interpreted and applied so as to give us a deeper philosophical understanding of mathematical theories and practice. Rather than argue for or against some particular realistic position, I shall be concerned with possible coherent positions, their strengths and weaknesses. I shall also discuss related but different aspects of these problems. The terms in the title are the common thread that connects the various sections.

In this paper we study the question assuming MA+⌝CH does Sacks forcing or Laver forcing collapse cardinals? We show that this question is equivalent to the question of what is the additivity of Marczewski's ideals 0. We give a proof that it is consistent that Sacks forcing collapses cardinals. On the other hand we show that Laver forcing does not collapse cardinals.

A definition is proposed to give precise meaning to the counterfactual statements that often appear in discussions of the implications of quantum mechanics. Of particular interest are counterfactual statements which involve events occurring at space-like separated points, which do not have an absolute time ordering. Some consequences of this definition are discussed.

Naïve realism is the view that veridical experiences are fundamentally relations of acquaintance to external objects and their features, and multidisjunctivism is the conjunction of naïve realism and the view that hallucinatory experiences don’t share a common fundamental kind. Multidisjunctivism allegedly removes the screening-off worry over naïve realism, and the relevant literature suggests that multidisjunctivism is one of the naïve realist responses to the worry. The present paper argues that the multidisjunctive solution is implicitly changing the subject, so the impression (...) that the multidisjunctivist is addressing the screening-off problem is illusory. (shrink)

In a recent paper S. McCall adds another link to a chain of attempts to enlist Gödel’s incompleteness result as an argument for the thesis that human reasoning cannot be construed as being carried out by a computer.1 McCall’s paper is undermined by a technical oversight. My concern however is not with the technical point. The argument from Gödel’s result to the no-computer thesis can be made without following McCall’s route; it is then straighter and more forceful. Yet the argument (...) fails in an interesting and revealing way. And it leaves a remainder: if some computer does in fact simulate all our mathematical reasoning, then, in principle, we cannot fully grasp how it works. Gödel’s result also points out a certain essential limitation of self-reflection. The resulting picture parallels, not accidentally, Davidson’s view of psychology, as a science that in principle must remain “imprecise”, not fully spelt out. What is intended here by “fully grasp”, and how all this is related to self-reflection, will become clear at the end of this comment. (shrink)

The controversy surrounding targeted killings represents a crisis of conscience for policymakers, lawyers, philosophers and leading military experts grappling with the moral and legal limits of the war on terror. The book examines the legal and philosophical issues raised by government efforts to target suspected terrorists without giving them the safeguards of a fair trial.

We trace self-reference phenomena to the possibility of naming functions by names that belong to the domain over which the functions are defined. A naming system is a structure of the form ,{ }), where D is a non-empty set; for every a∈ D, which is a name of a k-ary function, {a}: Dk → D is the function named by a, and type is the type of a, which tells us if a is a name and, if it is, (...) the arity of the named function. Under quite general conditions we get a fixed point theorem, whose special cases include the fixed point theorem underlying Gödel's proof, Kleene's recursion theorem and many other theorems of this nature, including the solution to simultaneous fixed point equations. Partial functions are accommodated by including “undefined” values; we investigate different systems arising out of different ways of dealing with them. Many-sorted naming systems are suggested as a natural approach to general computatability with many data types over arbitrary structures. The first part of the paper is a historical reconstruction of the way Gödel probably derived his proof from Cantor's diagonalization, through the semantic version of Richard. The incompleteness proof–including the fixed point construction–result from a natural line of thought, thereby dispelling the appearance of a “magic trick”. The analysis goes on to show how Kleene's recursion theorem is obtained along the same lines. (shrink)

:In his famous book Just and Unjust Wars, Michael Walzer articulates a thesis he calls the “Moral Equality of Soldiers,” namely, the principle that combatants have an equal right to kill other combatants in war, regardless of the justice of the cause for which they are fighting. The Moral Equality Thesis, as I shall call it, is an essential component of traditional Just War Theory, in that it provides the basis for distinguishing the jus in bello from the jus ad (...) bellum. It also plays a crucial role in identifying the nature of the difference between combatants and civilians. The Moral Equality Thesis has recently come under attack by scholars of Just War Theory, notably philosopher Jeff McMahan, on the grounds that killing for immoral purposes cannot be justified, and so it cannot be true that combatants all have an equal right to kill, regardless of the justice of their cause. In this essay, I defend the Moral Equality Thesis in its traditional formulation. Without it, I argue, the rule of law would not apply in war. The failure to recognize the equal right of combatants to kill in war, I suggest, creates an inconsistency between the rules of war and basic concepts in the law and morality of self-defense, an inconsistency that McMahan himself would think undesirable. I argue that McMahan’s argument applies more compellingly to armed conflict in asymmetrical warfare. Arguably, the Moral Equality Thesis does not apply in an armed conflict between combatants and unlawful combatants. In that context, the divergence from the law and morality of self-defense is less of a concern. View HTML Send article to KindleTo send this article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.KILLING IN WAR AND THE MORAL EQUALITY THESISVolume 32, Issue 2Claire Finkelstein DOI: https://doi.org/10.1017/S0265052516000169Your Kindle email address Please provide your Kindle [email protected]@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. KILLING IN WAR AND THE MORAL EQUALITY THESISVolume 32, Issue 2Claire Finkelstein DOI: https://doi.org/10.1017/S0265052516000169Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. KILLING IN WAR AND THE MORAL EQUALITY THESISVolume 32, Issue 2Claire Finkelstein DOI: https://doi.org/10.1017/S0265052516000169Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation Request permission. (shrink)

On a view that emerges from the “law and economics movement,” the purpose of law is to ensure that when individual citizens seek to maximize their individual utility, they will incidentally maximize society’s utility; the law ideally provides individual agents with incentives for efficient behavior. Finkelstein argues that laws that maximize social utility are not necessarily the best legal rules for individuals that seek to maximize their personal utility. In particular, she suggests that ideally rational individuals would be unlikely (...) to select the principle of utility maximization as the basis for choosing ideal legal rules. If Finkelstein is correct, the assumption that human beings are rational utility maximizers would have very different consequences from those that legal economists have identified. Rational actor theory would be more likely to lead us to justify legal rules structured around contractarian principles, i.e., principles of agreement, than around the principle of utility maximization. (shrink)

Law and morals in the Hebrew Scriptures, Plato, and Aristotle, by M. R. Konvitz.--The ethics of the Pharisees, by L. Finkelstein.--Doubts about justice, by W. Kaufmann.--Law and disorder: Some reflections on the political philosophy of Edmond Cahn, by D. D. Williams.--Ethics and business, by P. Sporn.--Mission and opportunity: religion in a pluralistic culture, by R. Niebuhr.--Reflections on over-population, by C. Merrill.--Ethical issues in psychotherapy, by N. W. Ackerman.--Drama: a mirror of conflict, by E. M. Jackson.--Toward a new cultural federalism, (...) by E. Warren. (shrink)

The technique of minimizing information (infomin) has been commonly employed as a general method for both choosing and updating a subjective probability function. We argue that, in a wide class of cases, the use of infomin methods fails to cohere with our standard conception of rational degrees of belief. We introduce the notion of a deceptive updating method and argue that non-deceptiveness is a necessary condition for rational coherence. Infomin has been criticized on the grounds that there are no higher (...) order probabilities that ‘support’ it, but the appeal to higher order probabilities is a substantial assumption that some might reject. Our elementary arguments from deceptiveness do not rely on this assumption. While deceptiveness implies lack of higher order support, the converse does not, in general, hold, which indicates that deceptiveness is a more objectionable property. We offer a new proof of the claim that infomin updating of any strictly-positive prior with respect to conditional-probability constraints is deceptive. In the case of expected-value constraints, infomin updating of the uniform prior is deceptive for some random variables but not for others. We establish both a necessary condition and a sufficient condition (which extends the scope of the phenomenon beyond cases previously considered) for deceptiveness in this setting. Along the way, we clarify the relation which obtains between the strong notion of higher order support, in which the higher order probability is defined over the full space of first order probabilities, and the apparently weaker notion, in which it is defined over some smaller parameter space. We show that under certain natural assumptions, the two are equivalent. Finally, we offer an interpretation of Jaynes, according to which his own appeal to infomin methods avoids the incoherencies discussed in this paper. (shrink)

We construct a Borel maximal cofinitary group.

This article examines the science of electrophysiology developed by Emil du Bois-Reymond in Berlin in the 1840s. In it I recount his major findings, the most significant being his proof of the electrical nature of nerve signals. Du Bois-Reymond also went on to detect this same ‘negative variation’, or action current, in live human subjects. In 1850 he travelled to Paris to defend this startling claim. The essay concludes with a discussion of why his demonstration failed to convince his hosts (...) at the French Academy of Sciences. (shrink)

John Forrester’s book Thinking in Cases does not provide one ultimate definition of what it means to ‘think in cases’, but rather several alternatives: a ‘style of reasoning’ (Hacking), ‘paradigms’ or ‘exemplars’ (Kuhn), and ‘language games’ (Wittgenstein), to mention only a few. But for Forrester, the stories behind each of the figures who suggested these different models for thinking (in cases) are as important as the models themselves. In other words, the question for Forrester is not only what ‘thinking in (...) cases’ is, but also who might be considered a ‘thinker in cases’. Who could serve as a case study for such a thinker? The major candidates that Forrester considers in his book to be ‘thinkers in cases’ are Kuhn, Foucault, Freud, and Winnicott. In what follows, I will argue that one name is missing from this list, as well as from Forrester’s book more generally: Michael Balint. This name is missing not only because Balint was a great ‘thinker in cases’, but also because we have some reasons to believe that Forrester himself thought so and wished to add him to the list. Forrester, I will argue, found in Balint an exemplar for a thinker in cases that combined elements from Winnicott’s psychoanalytic theory and Foucault’s philosophy of the case-based sciences. (shrink)

The German pioneer of electrophysiology, Emil du Bois-Reymond (1818–1896), is generally assumed to have remained silent on the subject of the brain. However, the archive of his papers in Berlin contains manuscript notes to a lecture on “The Seat of the Soul” that he delivered to popular audiences in 1884 and 1885. These notes demonstrate that cerebral localization and brain function in general had been concerns of his for quite some time, and that he did not shy away from these (...) subjects. (shrink)

Since its origins in the mid-1980s, DNA profiling has become the most powerful tool for identification in contemporary society. Practitioners have deployed it to determine parentage, verify claims to identity in various civil contexts, identify bodies in wars and mass disasters, and infer the identity of individuals who have left biological traces at crime scenes. Thus DNA profiling can be used to implicate or exonerate individuals from participation in particular social relations and activities; this affords it a growing importance in (...) major social institutions such as the family, the criminal justice system, immigration services, and health services. There are key state, security, civil liberty, personal, and commercial considerations surrounding the reliability and social implications of DNA profiling in establishing the identities of “family members,” “claimants,” “customers,” “suspects,” and “citizens.”Given that DNA profiling is increasingly influential in forensic inquiries, the recently-developed practice in the UK of “familial searching” of DNA databases has the potential to become a significant aspect of investigations. (shrink)