Hartry Field has argued that mathematical realism is epistemologically problematic, because the realist is unable to explain the supposed reliability of our mathematical beliefs. In some of his discussions of this point, Field backs up his argument by saying that our purely mathematical beliefs do not ‘counterfactually depend on the facts’. I argue that counterfactual dependence is irrelevant in this context; it does nothing to bolster Field's argument.

The term ‘continuous’ in real analysis wasn’t given an adequate formal definition until 1817. However, important theorems about continuity were proven long before that. How was this possible? In this paper, I introduce and refine a proposed answer to this question, derived from the work of Frank Jackson, David Lewis and other proponents of the ‘Canberra plan’. In brief, the proposal is that before 1817 the meaning of the term ‘continuous’ was determined by a number of ‘platitudes’ which had some (...) special epistemic status. (shrink)

Gideon Rosen and Robert Schwartzkopff have independently suggested (variants of) the following claim, which is a varian of Hume's Principle: -/- When the number of Fs is identical to the number of Gs, this fact is grounded by the fact that there is a one-to-one correspondence between the Fs and Gs. -/- My paper is a detailed critique of the proposal. I don't find any decisive refutation of the proposal. At the same time, it has some consequences which many will (...) find objectionable. (shrink)

This paper is an exposition and evaluation of the Agustín Rayo's views about the epistemology and metaphysics of mathematics, as they are presented in his book The Construction of Logical Space.

In the middle of the last century, it was common to explain the notion of necessity in linguistic terms. A necessary truth, it was said, is a sentence whose truth is guaranteed by linguistic rules. Quine famously argued that, on this view, de re modal claims do not make sense. “Porcupettes are porcupines” is necessarily true, but it would be a mistake to say of a particular porcupette that it is necessarily a porcupine, or that it is possibly purple. Linguistic (...) theories of necessity fell out of favour with the publication of Kripke’s Naming and Necessity, and Quine’s arguments were put aside. In her recent book, Norms and Necessity, Amie Thomasson presents her modal normativism, which is an updated version of the mid-century theories just described. Quine’s arguments are thus relevant once again. We recapitulate Quine’s central argument, in the context of modal normativism. We then criticise Amie Thomasson’s discussion of de re modality. We finish by briefly presenting an alternative account of de re modal statements, which is compatible with modal normativism. (shrink)

This article is a survey of the literature on context sensitivity in the philosophy of language.

In Writing the Book of the World, Ted Sider argues that David Lewis’s distinction between those predicates which are ‘perfectly natural’ and those which are not can be extended so that it applies to words of all semantic types. Just as there are perfectly natural predicates, there may be perfectly natural connectives, operators, singular terms and so on. According to Sider, one of our goals as metaphysicians should be to identify the perfectly natural words. Sider claims that there is a (...) perfectly natural first-order quantifier. I argue that this claim is not justified. Quine has shown that we can dispense with first-order quantifiers, by using a family of ‘predicate functors’ instead. I argue that we have no reason to think that it is the first-order quantifiers, rather than Quine’s predicate functors, which are perfectly natural. The discussion of quantification is used to provide some motivation for a general scepticism about Sider’s project. Shamik Dasgupta’s ‘generalism’ and Jason Turner’s critique of ‘ontological nihilism’ are also discussed. (shrink)

I consider the claim that analytic statements are "true in virtue meaning", giving the claim a ground-theoretic interpretation.

We discuss abstraction principles in the context of modal and temporal logic. It is argued that abstractionism conflicts with both serious presentism and serious actualism.

This paper has two components. The first, longer component (sec. 1-6) is a critical exposition of Armstrong’s views about the metaphysics of mathematics, as they are presented in Truth and Truthmakers and Sketch for a Systematic Metaphysics. In particular, I discuss Armstrong’s views about the nature of the cardinal numbers, and his account of how modal truths are made true. In the second component of the paper (sec. 7), which is shorter and more tentative, I sketch an alternative account of (...) the metaphysics of mathematics. I suggest we insist that mathematical truths have physical truthmakers, without insisting that mathematical objects themselves are part of the physical world. (shrink)

In Pragmatism, James promised his readers a theory of truth. However, many of his readers (even those sympathetic with other parts of James’s work) have concluded that James’s “theory” was little more than a tangle of mistakes. In this chapter, I offer an interpretation and defence of James’s theory of truth. I emphasize James’s truth pluralism.

A brief review of Øystein Linnebo's Thin Objects. The review ends with a brief discussion of cardinal number and metaphysical ground.

We submit this brief in support of the Nonhuman Rights Project’s efforts to secure habeas corpus relief for the elephant named Happy. The Supreme Court, Bronx County, declined to grant habeas corpus relief and order Happy’s transfer to an elephant sanctuary, relying, in part, on previous decisions that denied habeas relief for the NhRP’s chimpanzee clients, Kiko and Tommy. Those decisions use incompatible conceptions of ‘person’ which, when properly understood, are either philosophically inadequate or, in fact, compatible with Happy’s personhood.

This is an excerpt from a report that highlights and explores five questions which arose from the workshop on perceptual learning and perceptual recognition at the University of Toronto, Mississauga on May 10th and 11th, 2012. This excerpt explores the question: What counts as cognitive penetration?

This is an excerpt from a report that highlights and explores five questions which arose from the workshop on perceptual learning and perceptual recognition at the University of Toronto, Mississauga on May 10th and 11th, 2012. This excerpt explores the question: Does our representation of time provide and amodal framework for multi-sensory integration?

This is an excerpt from a report that highlights and explores five questions which arose from the workshop on perceptual learning and perceptual recognition at the University of Toronto, Mississauga on May 10th and 11th, 2012. This excerpt explores the question: How do we recognize distinct types of emotion in music?

This report highlights and explores five questions which arose from the workshop on perceptual learning and perceptual recognition at the University of Toronto, Mississauga on May 10th and 11th, 2012: 1. How should we demarcate perceptual learning from perceptual development? 2. What are the origins of multimodal associations? 3. Does our representation of time provide an amodal framework for multi-sensory integration? 4. What counts as cognitive penetration? 5. How can philosophers and psychologists most fruitfully collaborate?

This is an excerpt from a report that highlights and explores five questions which arose from the workshop on perceptual learning and perceptual recognition at the University of Toronto, Mississauga on May 10th and 11th, 2012. This excerpt explores the question: How can philosophers and psychologists most fruitfully collaborate?

This is an excerpt from a report that highlights and explores five questions which arose from the workshop on perceptual learning and perceptual recognition at the University of Toronto, Mississauga on May 10th and 11th, 2012. This excerpt explores the question: What are the origins of multimodal associations?

In December 2013, the Nonhuman Rights Project (NhRP) filed a petition for a common law writ of habeas corpus in the New York State Supreme Court on behalf of Tommy, a chimpanzee living alone in a cage in a shed in rural New York (Barlow, 2017). Under animal welfare laws, Tommy’s owners, the Laverys, were doing nothing illegal by keeping him in those conditions. Nonetheless, the NhRP argued that given the cognitive, social, and emotional capacities of chimpanzees, Tommy’s confinement constituted (...) a profound wrong that demanded remedy by the courts. Soon thereafter, the NhRP filed habeas corpus petitions on behalf of Kiko, another chimpanzee housed alone in Niagara Falls, and Hercules and Leo, two chimpanzees held in research facilities at Stony Brook University. Thus began the legal struggle to move these chimpanzees from captivity to a sanctuary, an effort that has led the NhRP to argue in multiple courts before multiple judges. The central point of contention has been whether Tommy, Kiko, Hercules, and Leo have legal rights. To date, no judge has been willing to issue a writ of habeas corpus on their behalf. Such a ruling would mean that these chimpanzees have rights that confinement might violate. Instead, the judges have argued that chimpanzees cannot be bearers of legal rights because they are not, and cannot be persons. In this book we argue that chimpanzees are persons because they are autonomous. (shrink)

Both Philip and Andrew are philosophy students whose interests converge around the philosophy of technology broadly understood. Philip's interest is specifically aimed toward the ethics of Transhumanism and depictions of Transhumanism in works of fiction. On the other hand, Andrew finds himself more focused on religious behavior in the technological world. While the two perspectives might not seem that close, there is certain to be an overlap in Andrew and Philip's shared understanding of how technological phenomena play a crucial role (...) concerning religion and society. (shrink)

This classic collection of essays, first published in 1968, represents H.L.A. Hart's landmark contribution to the philosophy of criminal responsibility and punishment. Unavailable for ten years, this new edition reproduces the original text, adding a new critical introduction by John Gardner, a leading contemporary criminal law theorist.

In this brief, we argue that there is a diversity of ways in which humans (Homo sapiens) are ‘persons’ and there are no non-arbitrary conceptions of ‘personhood’ that can include all humans and exclude all nonhuman animals. To do so we describe and assess the four most prominent conceptions of ‘personhood’ that can be found in the rulings concerning Kiko and Tommy, with particular focus on the most recent decision, Nonhuman Rights Project, Inc v Lavery.

According to the orthodox treatment of risk preferences in decision theory, they are to be explained in terms of the agent's desires about concrete outcomes. The orthodoxy has been criticised both for conflating two types of attitudes and for committing agents to attitudes that do not seem rationally required. To avoid these problems, it has been suggested that an agent's attitudes to risk should be captured by a risk function that is independent of her utility and probability functions. The main (...) problem with that approach is that it suggests that attitudes to risk are wholly distinct from people's (non-instrumental) desires. To overcome this problem, we develop a framework where an agent's utility function is defined over chance propositions (i.e., propositions describing objective probability distributions) as well as ordinary (non-chance) ones, and argue that one should explain different risk attitudes in terms of different forms of the utility function over such propositions. (shrink)

ABSTRACT Offsetting is a very ineffective way to do good. Offsetting your lifetime emissions may increase aggregated life expectancy by at most seven years, while giving the amount it costs to offset your lifetime emissions to a malaria charity saves in expectation the life of at least one child. Is there any moral reason to offset rather than giving to some charity that does good so much more effectively? There might be such a reason if your offsetting compensated or somehow (...) benefitted the victims of your emission, since that could mean that you would satisfy the duty not to harm others by emitting and offsetting. But that is typically not true. If your emission harms some person and your offsetting benefits some person, then these are most likely different people. Hence, I conclude, we have a stronger reason to give to effective charities than we have to offset our emissions. (shrink)

Signing Ceremony of MOU on Professional Legal Diploma, Government of Dubai 2020.

Jordan agreed to extensive liberalization undertakings under the General Agreement on Trade in Services (“GATS”) that would open some sectors that were previously closed or restricted to foreign suppliers and investors. It undertook horizontal commitments in cross-border movement of individuals and commercial presence covering all types of services.

This volume offers a collection of in-depth explorations of pragmatism as a framework for discussions in philosophy of science and metaphysics. Each chapter involves explicit reflection on what it means to be pragmatist, and how to use pragmatism as a guiding framework in addressing topics such as realism, unification, fundamentality, truth, laws, reduction, and more. -/- .

Many philosophers think that we should use a lottery to decide who gets a good to which two persons have an equal claim but which only one person can get. Some philosophers think that we should save identified persons from harm even at the expense of saving a somewhat greater number of statistical persons from the same harm. I defend a principled way of justifying both judgements, namely, by appealing to the decreasing marginal moral value of survival chances. I identify (...) four desiderata that, I contend, any such justification should satisfy, and explain how my account meets these desiderata, unlike some previous accounts. (shrink)

The veil of ignorance argument was used by John C. Harsanyi to defend Utilitarianism and by John Rawls to defend the absolute priority of the worst off. In a recent paper, Lara Buchak revives the veil of ignorance argument, and uses it to defend an intermediate position between Harsanyi's and Rawls' that she calls Relative Prioritarianism. None of these authors explore the implications of allowing that agent's behind the veil are averse to ambiguity. Allowing for aversion to ambiguity---which is both (...) the most commonly observed and a seemingly reasonable attitude to ambiguity---however supports a version of Egalitarianism, whose logical form is quite different from the theories defended by the aforementioned authors. Moreover, it turns out that the veil of ignorance argument neither supports standard Utilitarianism nor Prioritarianism unless we assume that rational people are insensitive to ambiguity. (shrink)

This book is a translation of W.V. Quine's Kant Lectures, given as a series at Stanford University in 1980. It provide a short and useful summary of Quine's philosophy. There are four lectures altogether: I. Prolegomena: Mind and its Place in Nature; II. Endolegomena: From Ostension to Quantification; III. Endolegomena loipa: The forked animal; and IV. Epilegomena: What's It all About? The Kant Lectures have been published to date only in Italian and German translation. The present book is filled out (...) with the translator's critical Introduction, "The esoteric Quine?" a bibliography based on Quine's sources, and an Index for the volume. (shrink)

It has recently been argued that indeterminacy and indeterminism make most ordinary counterfactuals false. I argue that a plausible way to avoid such counterfactual skepticism is to postulate the existence of primitive modal facts that serve as truth-makers for counterfactual claims. Moreover, I defend a new theory of ‘might’ counterfactuals, and develop assertability and knowledge criteria to suit such unobservable ‘counterfacts’.

Bartha and DesRoches (Synthese 199(3–4):8701–8740, 2021) and Steel and Bartha (Risk Analysis 43(2):260–268, 2023) argue that we should understand the precautionary principle as the injunction to maximise lexical utilities. They show that the lexical utility model has important pragmatic advantages. Moreover, the model has the theoretical advantage of satisfying all axioms of expected utility theory except continuity. In this paper I raise a trilemma for any attempt at modelling the precautionary principle with lexical utilities: it permits choice cycles or leads (...) to paralysis or implies that the smallest value difference that is possible in a context has extreme axiological implications. (shrink)

Presence as ordinarily understood requires spatio-temporal proximity. If however Christ’s presence in the Eucharist is understood in this way it would take a miracle to secure multiple location and an additional miracle to cover it up so that the presence of Christ where the Eucharist was celebrated made no empirical difference. And, while multiple location is logically possible, such metaphysical miracles—miracles of distinction without difference, which have no empirical import—are problematic. I propose an account of Eucharist according to which Christ (...) is indeed really and objectively present in the religiously required sense, without benefit of metaphysical miracles. According to the proposed account, which draws upon Searle’s discussion of “social ontology” in The Construction of Social Reality and The Making of the Social World, the presence of Christ in the Eucharist is an institutional fact. I argue that such an account satisfies the requirements for a real presence doctrine. (shrink)

We present an epistemological schema of natural sciences inspired by Peirce's pragmaticist view, stressing the role of the \emph{phenomenological map}, that connects reality and our ideas about it. The schema has a recognisable mathematical/logical structure which allows to explore some of its consequences. We show that seemingly independent principles as the requirement of reproducibility of experiments and the Principle of Sufficient Reason are both implied by the schema, as well as Popper's concept of falsifiability. We show that the schema has (...) some power in demarcating science by first comparing with an alternative schema advanced during the first part of the 20th century which has its roots in Hertz and has been developed by Einstein and Popper. Further, the identified differences allow us to focus in the construction of Special Relativity, showing that it uses an intuited concept of velocity that does not satisfy the requirements of reality in Peirce. While the main mathematical observation connected with this issue has been known for more than a century, it has not been investigated from an epistemological point of view. A probable reason could be that the socially dominating epistemology in physics does not encourage such line of work. We briefly discuss the relation of the abduction process presented in this work with discussions regarding ``abduction'' in the literature and its relation with ``analogy''. (shrink)

This paper advances a theory of disease as domino dysfunction. It is often argued that diseases are biological dysfunctions. However, a theory of disease as biological dysfunction is complicated by some plausible cases of dysfunction, which seem clearly non-pathological. I argue that pathological conditions are not just dysfunctions but domino dysfunctions, and that domino dysfunctions can be distinguished on principled biological grounds from non-pathological dysfunctions. I then show how this theory can make sense of the problem cases; they are not (...) diseases because they are not domino dysfunctions. (shrink)

Considerations of dynamic inconsistency have figured prominently in debates over the rationality of preferences that violate the separability conditions characteristic of expected utility theory. These debates have mostly focused on risk- and ambiguity averse preferences, but analogous considerations apply to preferences for fairness. We revisit these debates in the context of a specific hypothesis regarding the violations of separability by such preferences, namely that they are potentially both explained and rationalised by attitudes to the chances of goods that motivate a (...) preference for equality in the distribution of chances across people and possible events. Our main aim is to argue that, first, when these violations of static separability are motivated by such attitudes to chances, then they need not result in dynamically inconsistent behaviour. Second, and more generally, considerations of dynamic consistency do not, we argue, undermine the rationality of such attitudes towards the distribution of chances, despite the fact that such attitudes give rise to violations of the static separability assumptions of expected utility theory. (shrink)

How do people decide what category an artifact belongs to? Previous studies have suggested that adults and, to some degree, children, categorize artifacts in accordance with the design stance, a categorization system which privileges the designer’s original intent in making categorization judgments. However, these studies have all been conducted in Western, technologically advanced societies, where artifacts are mass produced. In this study, we examined intuitions about artifact categorization among the Shuar, a hunter-horticulturalist society in the Amazon region of Ecuador. We (...) used a forced-choice method similar to previous studies, but unlike these studies, our scenarios involved artifacts that would be familiar to the Shuar. We also incorporated a community condition to examine the possible effect of community consensus on how artifacts are categorized. The same scenarios were presented to university student participants in the UK. Across populations and conditions, participants tended to categorize artifacts in terms of a creator’s intent as opposed to a differing current use. This lends support to the view that the design stance may be a universal feature of human cognition. However, we conclude with some thoughts on the limitations of the present method for studying artifact concepts. (shrink)

If I were asked to put forward an ethical principle which I considered to be especially certain, it would be that no one can be responsible, in the properly ethical sense, for the conduct of another. Responsibility belongs essentially to the individual. The implications of this principle are much more far-reaching than is evident at first, and reflection upon them may lead many to withdraw the assent which they might otherwise be very ready to accord to this view of responsibility. (...) But if the difficulties do appear to be insurmountable, and that, very certainly, does not seem to me to be the case, then the proper procedure will be, not to revert to the barbarous notion of collective or group responsibility, but to give up altogether the view that we are accountable in any distinctively moral sense. (shrink)

A moderately risk averse person may turn down a 50/50 gamble that either results in her winning $200 or losing $100. Such behaviour seems rational if, for instance, the pain of losing $100 is felt more strongly than the joy of winning $200. The aim of this paper is to examine an influential argument that some have interpreted as showing that such moderate risk aversion is irrational. After presenting an axiomatic argument that I take to be the strongest case for (...) the claim that moderate risk aversion is irrational, I show that it essentially depends on an assumption that those who think that risk aversion can be rational should be skeptical of. Hence, I conclude that risk aversion need not be irrational. (shrink)

Catastrophic risk raises questions that are not only of practical importance, but also of great philosophical interest, such as how to define catastrophe and what distinguishes catastrophic outcomes from non-catastrophic ones. Catastrophic risk also raises questions about how to rationally respond to such risks. How to rationally respond arguably partly depends on the severity of the uncertainty, for instance, whether quantitative probabilistic information is available, or whether only comparative likelihood information is available, or neither type of information. Finally, catastrophic risk (...) raises important ethical questions about what to do when catastrophe avoidance conflicts with equity promotion. (shrink)

The Precautionary Principle (PP) is an influential principle of risk management. It has been widely introduced into environmental legislation, and it plays an important role in most international environmental agreements. Yet, there is little consensus on precisely how to understand and formulate the principle. In this paper I prove some impossibility results for two plausible formulations of the PP as a decision-rule. These results illustrate the difficulty in making the PP consistent with the acceptance of any trade-offs between catastrophic risks (...) and more ordinary goods. (shrink)

I argue, first, that the deprived individuals whose predicaments Nussbaum cites as examples of "adaptive preference" do not in fact prefer the conditions of their lives to what we should regard as more desirable alternatives, indeed that we believe they are badly off precisely because they are not living the lives they would prefer to live if they had other options and were aware of them. Secondly, I argue that even where individuals in deprived circumstances acquire tastes for conditions that (...) we regard as bad, they are typically better off having their acquired preferences satisfied. If they are badly off it is because they cannot get what we and they, would regard as more desirable alternatives. Preference utilitarianism explains why individuals in such circumstances are badly off whether they have adapted to their deprived circumstances or not. Even if they prefer the conditions of their lives to all other available alternatives, most would prefer alternatives that are not available to them which would, on the preferentist account, make them better off. And that, on the preferentist account, is the basis for a radical critique of unjust institutions that limit people's options and prevent them from getting what they want. (shrink)

Dr Peter Sjöstedt-H reviews Dr Andrew R. Gallimore's book, Alien Information Theory. -/- This was published on PsyPressUK on 13 June 2019.

The relationship between “Towards a Critique of Violence” (1921) and the work of Franz Kafka has been well established by several critical studies devoted to Walter Benjamin. However, it is striking that Benjamin himself, already well acquainted with the work of the Czech writer in 1921, never made any comment to Kafka’s work in this essay, and, more broadly, in any of the related texts that make up the project on the ‘Critique of Violence’. In this article, we analyze a (...) set of notions (Entstellung, Entsühnung, Zurechstellen) that allow us to establish a mediated relationship between this essay and the articles and letters that Benjamin devoted to Kafka in the 1930s. This relationship takes us back to the only piece in which Benjamin carries out an autonomous treatment of the “category of justice” (1916) in which he identifies -as it will happen eighteen years later, in the essay on Kafka (1934)- the locus of justice in the “non-violence”, thus untying the knot that binds in a perhaps indiscernible way in the Jewish tradition the notions of “messianism” and “violence”. (shrink)

In this paper, I show that Aristophanes’s speech in Plato’s Symposium is tied into an interesting and hitherto unexplored web of ideas in Plato’s ethics and psychology. The poet’s analysis of erōs as ‘leading us to what “belongs” (the oikeion)’ (193d2) and as ‘restoring us in our “original nature” (archaia phusis)’ (193d4) is not a mere negative contribution that renders him a ‘target for Diotima’s fire’ (Dover). Rather, he unwittingly communicates central ethical and psychological ideas which we find developed in (...) key passages of Plato’s dialogues. What is interesting is that Diotima in a curious passage seems to dismiss his contribution of the oikeion as unrelated to our good (agathon) and irrelevant to the analysis of desire (205d10–206a1). I argue that this interpretation of Diotima’s response to Aristophanes, which would render her position an ethical anomaly in Plato’s dialogues, should be rejected. Instead, it is more plausible to read her response as proposing a revisionary conception of the oikeion, relying on the idea that our agathon is our true oikeion. In addition, I tentatively suggest that the theory of psychic pregnancy may be seen as presenting the agathon of wisdom of virtue produced in the ascent as an oikeion. Just as fascinating as Diotima’s stance on the oikeion is the question how her teachings relate to the concept of an archaia phusis of the soul. The idea that the soul’s self-perfection constitutes a return to a temporally prior condition of excellence, which in two places other than the Symposium (Republic X, Timaeus) is called the ‘archaia phusis’, is pervasive and centrally important to Plato’s psychology. I address the question whether Diotima’s ascent passage constitutes a psychological anomaly in portraying self-perfection as unrelated to the concept of the archaia phusis. I argue that an answer to this depends on the stance we take on the Symposium’s position regarding the immortality of the soul. While a reading that posits a rejection of immortality in the Symposium must indeed deny a role for the concept in Diotima’s speech, I show that a reading allowing for immortality as a theoretical commitment in the background has an interesting interpretative option: along with Timaeus 90d5, it may fruitfully interpret the ascent as an ordering of the soul ‘in accordance with its archaia phusis’. (shrink)

Ocean-based salmon farming, as presently practiced, is thought to pose an existential threat to what we today think of as wild salmon. This raises ethical questions about, first, the value of wild salmon, and, second, the value of wild salmon of the particular type that exists today. This essay uses the debate around ocean-based salmon farming as a case study of ‘irreversible damage’, a concept that figures heavily in environmental laws and regulations, in particular, in the so-called ‘precautionary principle’. It (...) is argued that although ocean-based salmon farming may, on the face of it, seem to be a prime example of a threat of irreversible damage, a wish to avoid irreversible damage does not support banning such farming. In contrast, it is argued that concern for irreplaceable value might support a ban. The findings suggest that it would often be appropriate for environmentalists and conservationists to focus more on irreplaceable value and less on irreversible damage. (shrink)

This article aims to read feminist new materialisms (Barad), together with ‘postulated’ linguistic or cultural primacy of Queer Theory (Butler), to show how both are engaged in similar critical-ethical endeavours. The central argument is that the criticism of Barad and new materialisms misses Butler’s materialistic insights due to a narrow interpretation of Butler's alleged social-constructivist position. There is, therefore, a specific focus on where they both make similar ethical appeals. Moreover, the article relies on Adorno's negative dialectic to highlight an (...) interpretation of Barad and Butler as being part of the same dialectical movement, in which materialism and idealism fluctuate in their mutual criticisms, thus continuing the procession towards 'new knowledge' and emancipation, or freedom, through their motions back and forth. (shrink)