Quantum theory launched a revolution in physics. But we have yet to understand the revolution's significance for philosophy. Richard Healey opens a path to such understanding. The first part of this book offers a self-contained but opinionated introduction to quantum theory. The second part assesses the theory's philosophical significance.

Gwen Bradford presents the first systematic account of what achievements are, and why they are worth the effort. She argues that more things count as achievements than we might have thought, and offers a new perfectionist theory of value in which difficulty, perhaps surprisingly, plays a central part in characterizing achievements.

If the Mona Lisa, the Sistine Chapel, the sarcophagus of Tutankhamun, or the Sword of Goujian were destroyed, nothing could replace them. New works of art that are even more impressive may be created, which may replenish the value in the world in quantity, but they would not fully replace the loss. Works of art and historical artifacts have irreplaceable value. But just what is irreplaceable value? This paper presents perhaps the first analysis. Irreplaceable value is a matter of intrinsic (...) value in virtue of unreinstantiable good-making properties, which give rise to reasons to preserve and protect. (shrink)

While its applications have made quantum theory arguably the most successful theory in physics, its interpretation continues to be the subject of lively debate within the community of physicists and philosophers concerned with conceptual foundations. This situation poses a problem for a pragmatist for whom meaning derives from use. While disputes about how to use quantum theory have arisen from time to time, they have typically been quickly resolved, and consensus reached, within the relevant scientific sub-community. Yet rival accounts of (...) the meaning of quantum theory continue to proliferate . In this article I offer a diagnosis of this situation and outline a pragmatist solution to the problem it poses, leaving further details for subsequent articles. (shrink)

Achievement is among the central goods in life, but just what is achievement, and how is it valuable? There is reason to think that it is a constitutive part of wellbeing; yet, it is possible to sacrifice wellbeing for the sake of achievement. How might it have been worthwhile, if not in terms of wellbeing? Perhaps, achievement is an intrinsic good, or perhaps it is valuable in terms of meaning in life. This article considers various ways in which we can (...) understand the nature and value of achievement, as well as the significance of achievement for other areas of philosophical inquiry. (shrink)

This paper compares and contrasts relational quantum mechanics with a pragmatist view of quantum theory. I first explain important points of agreement. Then I point to two problems faced by RQM and sketch DP?s solutions to analogous problems. Since both RQM and DP have taken the Born rule to require relative facts I next say what these might be. My main objection to RQM as originally conceived is that its ontology of relative facts is incompatible with scientific objectivity and undercuts (...) the evidential base of quantum theory. In contrast DP?s relative facts have all the objectivity we need to accept quantum theory as scientific knowledge. But a very recent modification to RQM has successfully addressed my main objection,bringing the two views into even closer alignment. (shrink)

This is a prize-winning study of an area of physics not previously explored by philosophy: gauge theory. Gauge theories have provided our most successful representations of the fundamental forces of nature. But how do such representations work? Healey defends an original answer to this question.

The conceptual and technical difficulties involved in creating a quantum theory of gravity have led some physicists to question, and even in some cases to deny, the reality of time. More surprisingly, this denial has found a sympathetic audience among certain philosophers of physics. What should we make of these wild ideas? Does it even make sense to deny the reality of time? In fact physical science has been chipping away at common sense aspects of time ever since its inception. (...) Section 1 offers a brief survey of the demolition process. Section 2 distinguishes a tempered from an extremely radical form that a denial of time might take, and argues that extreme radicalism is empirically self-refuting. Section 3 begins an investigation of the prospects for tempered radicalism in a timeless theory of quantum gravity. (shrink)

Quantum theory is a fundamental part of contemporary science. But some recent arguments have been taken to show that if this theory is universally applicable then the outcome of a quantum measurement is not an objective fact. They motivate the more general reappraisal of the notions of fact and objectivity that I offer here. I argue that if quantum theory is universally applicable the facts about the physical world include a fact about each quantum measurement outcome. The physical facts may (...) lack an ideal kind of objectivity, but their more modest objectivity is all that science needs. (shrink)

Healey et al. use experiments with chat dialogues to test the hypothesis that language co‐ordination is driven by ‘running repairs’. They replace signals of understanding such as “okay” with weaker, ‘spoof’ signals like “ummm”, and replace specific requests for clarification like “on the left?” with signals that suggest a higher degree of misunderstanding like “what?”. The latter manipulation causes participants to switch rapidly to more abstract forms of referring expression.

In his recent work, Michael Redhead (1986, 1987, 1989, 1990) has introduced a condition he calls robustness which, he argues, a relation must satisfy in order to be causal. He has used this condition to argue further that EPR-type correlations are neither the result of a direct causal connection between the correlated events, nor the result of a common cause associated with the source of the particle pairs which feature in these events. Andrew Elby (1992) has used this same condition (...) as a premise in an independent argument for the conclusion that EPR-type correlations cannot be causally explained (except, perhaps, by a nonlocal hidden variable theory). I wish to argue here that robustness is itself too fragile a notion to support such conclusions. (shrink)

Using a 2×2×2 experimental design, the effects of situational and individual variables on individuals' intentions to act unethically were investigated. Specifically examined were three situational variables: (1) quality of the work experience (good versus poor), (2) peer influences (unethical versus ethical), and (3) managerial influences (unethical versus ethical), and three individual variables: (4) locus of control, (5) Machiavellianism, and (6) gender, on individuals' behavioral intentions in an ethically ambiguous dilemma in an work setting. Experiment 1 revealed main effects for quality (...) of work experience, Machiavellianism, locus of control, and an interaction effect for peer influences and managerial influences. Experiment 2 showed main effects for all three situational variables and Machiavellianism. Neither experiment supported gender differences. Limitations, future research, and implications for management are discussed. (shrink)

Three recent arguments seek to show that the universal applicability of unitary quantum theory is inconsistent with the assumption that a well-conducted measurement always has a definite physical outcome. In this paper I restate and analyze these arguments. The import of the first two is diminished by their dependence on assumptions about the outcomes of counterfactual measurements. But the third argument establishes its intended conclusion. Even if every well-conducted quantum measurement we ever make will have a definite physical outcome, this (...) argument should make us reconsider the objectivity of that outcome. (shrink)

Many philosophers tacitly accept the View: consciousness is necessary for being a welfare subject. That is, in order to be an eligible bearer of welfare goods and bads, an entity must be capable of phenomenal consciousness. However, this paper argues that, in the absence of a compelling rationale, we are not licensed to accept the View, because doing so amounts to fallacious reasoning in theorizing about welfare: insisting on the View when consciousness is not in fact important for welfare value (...) in a systematic and significant way is objectionably “consciousist.” As a result, the View does not advance our understanding of the value of consciousness. The paper further diagnoses why we may be attracted to the View, and what we should accept instead. (shrink)

This article gives an account of what makes achievements valuable. Although the natural thought is that achievements are valuable because of the product, such as a cure for cancer or a work of art, I argue that the value of the product of an achievement is not sufficient to account for its overall value. Rather, I argue that achievements are valuable in virtue of their difficulty. I propose a new perfectionist theory of value that acknowledges the will as a characteristic (...) human capacity, and thus holds that the exercise of the will, and therefore difficulty, is intrinsically valuable. (shrink)

Uniqueness appears to enhance intrinsic value. A unique stamp sells for millions of dollars; Stradivarius violins are all the more precious because they are unlike any others. This observation has not gone overlooked in the value theory literature: uniqueness plays a starring role recalibrating the dominant Moorean understanding of the nature of intrinsic value. But the thesis that uniqueness enhances intrinsic value is in tension with another deeply plausible and widely held thesis, namely the thesis that there is a pro (...) tanto reason to promote the good. It is argued that there is a second, distinct type of uniqueness that plays a more interesting and important axiological role: uniqueness imparts irreplaceable value. This gives occasion to develop the surprisingly undertheorized notion of irreplaceable value. (shrink)

The normative power of consent plays a central role in enabling individuals to permissibly interact with one another. However, in the philosophical literature, the relationship between consent and permissible action is not always well understood. In this article I outline an account of the normative effect of valid consent, in order to clarify this relationship. I first argue that consent’s primary moral significance lies in its effect upon our interpersonal moral relationships. Specifically, I argue that valid consent serves to cancel (...) a directed duty owed to the consenter. Other things being equal, this equips the consentee with a directed permission: they will no longer wrong the consenter by acting in the consented to manner. However, this account does not yet explain how consent impacts upon the all things considered permissibility of an action. On the assumption that all things considered permissibility is a function of an agent’s reasons for action, we require an account of consent’s effect on those reasons. I consider, and then reject, Michelle Dempsey’s recent suggestion that consent affects a consentee’s reasons for action by granting them an exclusionary permission. I propose that we should instead understand consent to function as a cancelling permission. (shrink)

Núñez and colleagues (2019) question whether cognitive science still exists “as a coherent academic field with a well‐defined and cohesive interdisciplinary research program.” This worry may be premature on two grounds. First, we are not convinced that the Lakatosian criterion of coalescence around a core framework is the best standard for judging whether a field is well‐defined and productive. Second, although we acknowledge that cognitive science is not as visible as we would like, we doubt that this low profile accurately (...) reflects the state of actual research and teaching programs based on the cognitive science approach. (shrink)

What drives someone to commit an act of terrible violence? Drawing from her thirty years' experience in working with people who have committed serious offenses, Dr. Gwen Adshead provides fresh and surprising insights into violence and the mind. Through a collaboration with coauthor Eileen Horne, Dr. Adshead brings her extraordinary career to life in a series of unflinching portraits. In eleven vivid narratives based on decades of providing therapy to people in prisons and secure hospitals, an internationally renowned forensic (...) psychiatrist and psychotherapist demonstrates the remarkable human capacity for radical empathy, change, and redemption. Based on 30 years of experience working in prisons and secure psychiatric hospitals with people convicted of serious violent offenses, internationally renowned forensic psychiatrist Dr. Gwen Adshead presents an account of mental illness and the nature of evil in this compelling series of stories. (shrink)

Much of the debate around requirements for the free, prior, and informed consent of indigenous peoples has focused on enabling indigenous communities to participate in various forms of democratic decision-making alongside the state and other actors. Against this backdrop, this article sets out to defend three claims. The first two of these claims are conceptual in nature: (i) Giving (collective) consent and participating in the making of (collective) decisions are distinct activities; (ii) Despite some scepticism, there is a coherent conception (...) of collective consent available to us, continuous with the notion of individual consent familiar from discussions in medical and sexual ethics. The third claim is normative: (iii) Participants in debates about free, prior, and informed consent must keep this distinction in view. That is because a group’s ability to give or withhold consent, and not only participate in making decisions, will play an important role in realising that collectives’ right to self-determination. (shrink)

The US and China have both benefited greatly from their trading relationship. However, motivated by a US concern that their partner was becoming more of a rival, then-president Donald Trump began a ‘trade war’ in 2018. In US news outlets and, of particular interest here, on American social media platforms, China was represented as a global menace, with extreme xenophobia against Chinese people. Yet less is known about how Chinese people responded on social media to the same situation. This paper (...) explores the discourses carried on the Chinese social media platform Weibo, focusing on the 2021 Alaska talks between the US and China, where negotiations took place. As with their US counterparts, Weibo users comment little on actual trade benefits or damages caused by the conflict. We find a strong sense of nationalism, but this is not based on xenophobia; rather on a discourse comparing the talks to similar events early in the twentieth century, where the ‘Century of Humiliation’ began, and where territories such as Hong Kong, Taiwan and Shaoshan were taken by colonial powers. Foregrounded is China’s ability now to end this humiliation. (shrink)

Is there value in pulling off a great art heist with style and panache? This article written for a general audience explores the value of evil achievements.

Government officials claim open data can improve internal and external communication and collaboration. These promises hinge on “data intermediaries”: extra-institutional actors that obtain, use, and translate data for the public. However, we know little about why these individuals might regard open data as a site of civic participation. In response, we draw on Ilana Gershon to conceptualize culturally situated and socially constructed perspectives on data, or “data ideologies.” This study employs mixed methodologies to examine why members of the public hold (...) particular data ideologies and how they vary. In late 2015 the authors engaged the public through a commission in a diverse city of approximately 500,000. Qualitative data was collected from three public focus groups with residents. Simultaneously, we obtained quantitative data from surveys. Participants’ data ideologies varied based on how they perceived data to be useful for collaboration, tasks, and translations. Bucking the “geek” stereotype, only a minority of those surveyed were professional software developers or engineers. Although only a nascent movement, we argue open data intermediaries have important roles to play in a new political landscape. (shrink)

All change involves temporal variation of properties. There is change in the physical world only if genuine physical magnitudes take on different values at different times. I defend the possibility of change in a general relativistic world against two skeptical arguments recently presented by John Earman. Each argument imposes severe restrictions on what may count as a genuine physical magnitude in general relativity. These restrictions seem justified only as long as one ignores the fact that genuine change in a relativistic (...) world is frame-dependent. I argue on the contrary that there are genuine physical magnitudes whose values typically vary with the time of some frame, and that these include most familiar measurable quantities. Frame-dependent temporal variation in these magnitudes nevertheless supervenes on the unchanging values of more basic physical magnitudes in a general relativistic world. Basic magnitudes include those that realize an observer's occupation of a frame. Change is a significant and observable feature of a general relativistic world only because our situation in such a world naturally picks out a relevant class of frames, even if we lack the descriptive resources to say how they are realized by the values of basic underlying physical magnitudes. (shrink)

Why is pain bad? The most straightforward theory of pain's badness,dolorism, appeals to the phenomenal quality of displeasure. In spite of its explanatory appeal, the view is too straightforward to capture two central puzzles, namely pain that is enjoyed and pain that is not painful. These cases can be captured byconditionalism, which makes the badness of displeasure conditional on an agent's attitude. But conditionalism fails where dolorism succeeds with explanatory appeal. A new approach is proposed,reverse conditionalism, which maintains the explanatory (...) appeal of dolorism, but gives attitudes a value-defeating role. It is argued that this view does best in fulfilling the desiderata and capturing the cases. (shrink)

At first sight the Aharonov- Bohm effect appears nonlocal, though not in the way EPR/Bell correlations are generally acknowledged to be nonlocal. This paper applies an analysis of nonlocality to the Aharonov- Bohm effect to show that its peculiarities may be blamed either on a failure of a principle of local action or on a failure of a principle of separability. Different interpretations of quantum mechanics disagree on how blame should be allocated. The parallel between the Aharonov- Bohm effect and (...) violations of Bell inequalities turns out to be so close that a balanced assessment of the nature and significance of quantum nonlocality requires a detailed study of both effects. (shrink)

Perfectionism, broadly speaking, is the view that the development of certain characteristically human capacities is good. The view gains motivation in part from the intuitive pull of an objective approach to wellbeing, but dissatisfaction with objective list theory. According to objective list theory, goods such as knowledge, achievement, and friendship constitute good in a life. The objective list has terrific intuitive appeal – after all, it’s a list generated by reflecting on the good life. But as a theory, some find (...) it unsatisfying. What justifies presence on the list? On the traditional conception it is just a list and not much of a theory at all. Perfectionism captures the intuitive pull of the objective list and provides a unifying justification: the entries on the list share in common a special relationship to human nature. This essay gives an overview of perfectionism. (shrink)

Those looking for holism in contemporary physics have focused their attention primarily on quantum entanglement. But some gauge theories arguably also manifest the related phenomenon of nonseparability. While the argument is strong for the classical gauge theory describing electromagnetic interactions with quantum “particles”, it fails in the case of general relativity even though that theory may also be formulated in terms of a connection on a principal fiber bundle. Anandan has highlighted the key difference in his analysis of a supposed (...) gravitational analog to the Aharonov-Bohm effect. By contrast with electromagnetism in the original Aharonov-Bohm effect, gravitation is separable and exhibits no novel holism in this case. Whether the nonseparability of classical gauge theories of non-gravitational interactions is associated with holism depends on what counts as the relevant part-whole relation. Loop representations of quantized gauge theories of non- gravitational interactions suggest that these conclusions about holism and nonseparability may extend also to quantum theories of the associated fields. (shrink)

"Margaret Cavendish's philosophical work is at last taking its rightful place in the history of seventeenth-century thought, but her writings are so voluminous and wide-ranging that introducing her work to students has been difficult—at least until this volume came along. This carefully edited abridgment of _Observations upon Experimental Philosophy_ will be indispensable for making Cavendish's fascinating ideas accessible to students. Marshall's Introduction provides a helpful overview of themes in Cavendish's natural philosophy, and the footnotes contain useful background information about some (...) of the texts and philosophers that Cavendish mentions. The additional selections from Descartes, Hobbes, Boyle, and Hooke also help contextualize Cavendish's views." —Deborah Boyle, _College of Charleston_. (shrink)

Pain, failure and false beliefs all make a life worse, or so it is plausible to think. These things and possibly others seem to be intrinsically bad—no matter what further good comes of them they make a life worse pro tanto. In spite of the obvious badness, this is difficult to explain. While there are many accounts of well-being, few are up to the challenge of a univocal explanation of ill-being. Perfectionism has particular difficulty. Otherwise, it is a theory that (...) has quite a lot in its favour. This paper proposes a new valuation scheme for perfectionism, the tripartite scheme, which affords perfectionism the resources to give a comprehensive account of robust bads and has further additional advantages for the view. (shrink)

This article argues that the relations of social and political power that obtain between humans and pets are illegitimate. We begin by showing that pets, a largely neglected population in political philosophy, are subject to socially and politically organised power, which stands in need of justification. We then argue that pets have three moral complaints against the relations of power to which they are subject. First, our power over pets disrespects their moral independence: the fact that they are not simply (...) available to be used to serve the interests or projects of others. Second, our power over pets systematically sets back their interests in exercising control over their own body, actions, and environment. Third, in subjecting pets to asymmetric relations of power in which they are heavily dependent on humans for the satisfaction of their interests, we subject them to objectionable risks of harm. Together, these complaints support our thesis that the power relations central to the institution of pet keeping are illegitimate. The practical upshot is that we have a strong moral reason to abolish this institution. (shrink)

Agroecological transitions aim at developing sustainable farming and food systems, adapted to local contexts. Such transitions require the engagement of local actors and the consideration of their knowledge and reasoning as a whole, which encompasses different natures of knowledge (empirical, scientific, local, generic), related to different dimensions (economic, environmental, technical, social, political), as well as their values and perceived uncertainties. While these transitions are often problematized in relation to technical issues, this article's objective is to start from the way the (...) local actors consider these transitions in order to see what issues are actually involved. In this study, we analyzed the reasoning of diverse farming actors, including farmers and farm advisors. We conducted 30 cognitive mapping interviews, during which the local actors drew cognitive maps to explicit their reasoning concerning their agroecological transition with an open approach. Their reasoning revealed an emphasis on the human & social dimension of the process of agroecological transitions: (i) human and social considerations come first in the transition process, while technical solutions are viewed as secondary, (ii) use and development of human capacities, social interactions and human well-being are crucial to the conduct of agroecological transitions, (iii) human-scale farming appears as a condition for the use of human capacities, human well-being and rural development, (iv) agroecological transitions imply farming advisory transitions, and (v) rural development appears as a condition for agroecological transitions, implying transitions in society as a whole. (shrink)

The status of laws of nature has been the locus of a lively debate in recent philosophy. Most participants have assumed laws play an important role in science and metaphysics while seeking their objective ground in the natural world, though some skeptics have questioned this assumption. So-called Humeans look to base laws on actual, particular facts such as those specified in David Lewis’s Humean mosaic. Their opponents argue that such a basis is neither necessary nor sufficient to support the independent (...) existence of scientific laws. This essentially metaphysical debate has paid scant attention to the details of scientific practice. It has mostly focused on so-called fundamental laws, assumed to take a particular form. I propose a pragmatist alternative—not as another position in the debate but as an alternative to the debate itself. This pragmatist alternative offers a view that questions the representational conception of truth presupposed by participants to the debate as well as the metaphysical import of fundamental laws. Statements of law serve many different purposes in science: I’ll look at some. But their central role is in inference, primarily to improve the epistemic state of a scientist with limited access to information. To play this role, a scientific law statement need be neither necessary, unconditionally universal nor even true. It must merely be sufficiently reliable within its domain of application. The use of laws in astrophysics and metrology will help to illustrate these points. (shrink)

Is there a vacuum in nature? This is a question which preoccupied natural philosophers for millennia. Great thinkers including Democritus and Newton maintained the existence of a vacuum, while Aristotle, Descartes and Leibniz argued strongly that there was not, and perhaps could not be, any such thing. A casual glance at the literature of contemporary physics may leave the impression that scientific progress has produced a definitive positive answer, so that the philosophers' debates are now of only historical interest. Not (...) only is the attainment of high vacua a multimillion dollar industry, but almost every text and research paper in theoretical high energy or condensed matter physics or cosmology includes multiple references to the vacuum and its often surprising properties. And yet we have it on the authority of no less a scientist than Einstein himself that his general theory of relativity vindicates Descartes' conclusion that there could be no vacuum since the idea of space without matter is unintelligible! Does this mean that there is after all no scientific consensus on this issue, and that the ancient philosophical debate should simply be resumed with renewed vigor? I shall argue that it does not. The progress of physics has given rise to such a proliferation of different uses of the word 'vacuum' as to irretrievably alter the terms of that debate. Rather than asking whether there is a vacuum in nature, one should ask how well what counts as the vacuum in some physical theory represents reality. This in turn splits up into a semantic question and an empirical question I shall focus mainly on the prior, semantic question here. (shrink)

In light of arguments that citizen science has the potential to make environmental knowledge and policy more robust and democratic, this article inquires into the factors that shape the ability of citizen science to actually influence scientists and decision makers. Using the case of community-based air toxics monitoring with ‘‘buckets,’’ it argues that citizen science’s effectiveness is significantly influenced by standards and standardized practices. It demonstrates that, on one hand, standards serve a boundary-bridging function that affords bucket monitoring data a (...) crucial measure of legitimacy among experts. On the other hand, standards simultaneously serve a boundary-policing function, allowing experts to dismiss bucket data as irrelevant to the central project of air quality assessment. The article thus calls attention to standard setting as an important site of intervention for citizen science-based efforts to democratize science and policy. (shrink)

Philosophy says that life must be understood backwards. But . . . it must be lived forward. . , , It is more and more evident that life can never be really understood in Time. It was a pleasure to read Jason Thompson’s serious and thought-provoking piece, and I am grateful to the editors for giving me a chance to comment. The idea that the self is revealed in narrative is a popular one among different schools of psychotherapy, both in (...) terms of technique and theory; and my response addresses both these issues in turn. As a clinician, I have always liked people’s stories. As a junior psychiatrist, I used to love the moment when I first met someone and could say to them, ‘You were born; and then what .. (shrink)

Genetic information and technologies are increasingly important in health care, not only in technologically advanced countries, but world-wide. Several global factors promise to increase future demand for morally conscious genetic health services and research. Although they are the largest professional group delivering health care world-wide, nurses have not taken the lead in meeting this challenge. Insights from feminist analysis help to illuminate some of the social institutions and cultural obstacles that have impeded the integration of genetics technology into the discipline (...) of nursing. An alternative model is suggested - the transdisciplinary model - which was developed initially by a nurse and introduced in the 1970s into the delivery of health care and social services for children with developmental disabilities. This holistic model enables all health care professionals to have an equal voice in determining how genetic health care will be globalized. (shrink)

This chapter investigates the value of achievements by examining the implications of a highly plausible axiological principle, the principle of Recursion, as developed by Thomas Hurka. According to Recursion, the pursuit of an intrinsic good is itself good, and the pursuit of a bad is bad. Evil achievements present a puzzle for Recursion. The value of achievements is at least in part grounded by the positive intrinsic value of the pursuit. This is true even of achievements with evil goals. Yet (...) Recursion entails that the pursuit of an evil is itself evil. Three different construals of Recursion are considered, and their merits are evaluated in light of the value of achievements. Doing so reveals not only a good way to account for the value of achievements, but also the best way to understand the principle of Recursion as an axiological principle. Ultimately, it is concluded that Recursion is best construed as an instance of genuine organic unity. (shrink)

I offer an account of how the quantum theory we have helps us explain so much. The account depends on a pragmatist interpretation of the theory: this takes a quantum state to serve as a source of sound advice to physically situated agents on the content and appropriate degree of belief about matters concerning which they are currently inevitably ignorant. The general account of how to use quantum states and probabilities to explain otherwise puzzling regularities is then illustrated by showing (...) how we can explain single-particle interference phenomena, the stability of matter, and interference of Bose–Einstein condensates. Finally, I note some open problems and relate this account to alternative approaches to explanation that emphasize the importance of causation, of unification, and of structure. 1 Introduction2 Two Requirements on Explanations in Physics3 What We Can use Quantum Theory to Explain4 The Function of Quantum States and Born Probabilities5 How These Functions Contribute to the Explanatory Task6 Example One: Single-Particle Interference7 Example Two: Explanation of the Stability of Matter8 Example Three: Bose Condensation9 Conclusion. (shrink)