Using methods of geometric stability , we determine the structure of Abelian groups definable in ACFA, the model companion of fields with an automorphism. We also give general bounds on sets definable in ACFA. We show that these tools can be used to study torsion points on Abelian varieties; among other results, we deduce a fairly general case of a conjecture of Tate and Voloch on p-adic distances of torsion points from subvarieties.

We give a reduction of the function field Mordell–Lang conjecture to the function field Manin–Mumford conjecture, for abelian varieties, in all characteristics, via model theory, but avoiding recourse to the dichotomy theorems for (generalized) Zariski geometries. Additional ingredients include the “Theorem of the Kernel”, and a result of Wagner on commutative groups of finite Morley rank without proper infinite definable subgroups. In positive characteristic, where the main interest lies, there is one more crucial ingredient: “quantifier-elimination” for the corresponding [Formula: (...) see text] where [Formula: see text] is a saturated separably closed field. (shrink)

This paper concerns the relations between the relative Manin–Mumford conjecture and Pink’s conjecture on unlikely intersections in mixed Shimura varieties. The variety under study is the 4-dimensional Poincaré biextension attached to a universal elliptic curve. A detailed list of its special subvarieties is drawn up, providing partial verifications of Pink’s conjecture in this case, and two open problems are stated in order to complete its proof.

Causation is everywhere in the world: it features in every science and technology. But how much do we understand it? Mumford and Anjum develop a new theory of causation based on an ontology of real powers or dispositions. They provide the first detailed outline of a thoroughly dispositional approach, and explore its surprising features.

This book outlines a major new theory of natural laws. The book begins with the question of whether there are any genuinely law-like phenomena in nature. The discussion addresses questions currently being debated by metaphysicians such as whether the laws of nature are necessary or contingent and whether a property can be identified independently of its causal role.

A survey of democratic institutions and republics reveals the aristocratic origins of democracy.

This essay asks why Aristotle, certainly no friend to unlimited democracy, seems so much more comfortable with unconstrained rhetoric in political deliberation than current defenders of deliberative democracy. It answers this question by reconstructing and defending a distinctly Aristotelian understanding of political deliberation, one that can be pieced together out of a series of separate arguments made in the Rhetoric, the Politics, and the Nicomachean Ethics.

Zipf's law states that if words of language are ranked in the order of decreasing frequency in texts, the frequency of a word is inversely proportional to its rank. It is very reliably observed in the data, but to date it escaped satisfactory theoretical explanation. This article suggests that Zipf's law may result from a hierarchical organization of word meanings over the semantic space, which in turn is generated by the evolution of word semantics dominated by expansion of meanings and (...) competition of synonyms. A study of the frequency of partial synonyms in Russian provides experimental evidence for the hypothesis that word frequency is determined by semantics. (shrink)

Stephen Mumford puts forward a new theory of dispositions, showing how central their role is in metaphysics and philosophy of science. Much of our understanding of the physical and psychological world is expressed in terms of dispositional properties--from the solubility of sugar to the belief that zebras have stripes. Mumford discusses what it means to say that something has a property of this kind, and how dispositions can possibly be real things in the world. His clear, straightforward, realist account reveals (...) them to be less mysterious than they seem, and shows that an understanding of dispositions is essential to an understanding of properties, causation, and scientific laws. (shrink)

In recent years, we have seen a new concern with ethics training for research and development professionals. Although ethics training has become more common, the effectiveness of the training being provided is open to question. In the present effort, a new ethics training course was developed that stresses the importance of the strategies people apply to make sense of ethical problems. The effectiveness of this training was assessed in a sample of 59 doctoral students working in the biological and social (...) sciences using a pre-post design with follow-up and a series of ethical decision-making measures serving as the outcome variable. Results showed not only that this training led to sizable gains in ethical decision making but also that these gains were maintained over time. The implications of these findings for ethics training in the sciences are discussed. (shrink)

There has been much discussion of powers or real dispositions in the past decade, but there remains an issue that has been inadequately treated. This concerns the precise modal value that comes with dispositionality. We contend in this paper that dispositionality involves a non-alethic, sui generis, irreducible modality. Dispositions only tend towards their manifestations; they do not necessitate them. Tendency is, of course, a dispositional term itself, so this last statement offers little by way of illumination. But given our thesis (...) on the irreducible nature of dispositionality, we maintain that it cannot be explicated correctly in non-dispositional terms. Nevertheless, we all have experience of dispositionality at work, through the exercise or our own powers and the action of other powers upon us. The notion of dispositionality that we acquire is one that involves a modality stronger than pure contingency but weaker than necessity. The recognition of this distinct modal value for dispositionality is one of the biggest oversights in the growing literature in the area. Yet it is there for all to see in even the most mundane example. (shrink)

In this easy-to-understand introduction, Stephen Mumford explores one of the four main branches of philosophy: metaphysics. Using practical examples to explore the main issues, he presents the ideas in a clear and simple way, helping to clarify and unravel the basic questions of this complex and abstract concept.

In Vexed, James Mumford tackles the polarization of civil society across the democratic West, taking a fresh look at the existential questions and "hot button" issues that are an essential part of the politics of the Left and Right. In examining issues like the "right-to-die" movement and assisted suicide, family values and economic injustice, sexual liberation and consent, gun-control and abortion, the environment and technology, criminal justice and reform, Mumford questions the basic assumptions of our political groups. His challenge is (...) simple: "Why should believing strongly about one topic mean the automatic adoption of so many others?" With this refreshing and eye-opening book, James Mumford, a public thinker and independent commentator, has written an essential and provocative account that will appeal to anyone of independent thought, and a welcome call for new reflection on the moral issues most relevant to our modern way of life." -- Amazon.com. (shrink)

What makes it true when we say that something is not the case? Truthmaker maximalists think that every truth has a truthmaker—some fact in the world—that makes it true. No such facts can be found for the socalled negative truths. If a proposition is true when it has a truthmaker, then it would be false when it has no truthmaker. I therefore argue that negative truths, such as t<p>, are best understood as falsehoods, f<p>.

Debates concerning the taxation of prostitution have occurred in taxation law and in feminist literature. This article will integrate the case of Polok v. C.E.C. [2002] E.W.H.C, 156; [2002] S.T.C. 361, within the feminist legal canon. The case is discussed in the context of the argument of the European doctrine of fiscal neutrality, which dictates that, regardless of legality as amongst member states, if an activity is levied to V.A.T. in one member state, V.A.T. should be levied on it in (...) all member states. The doctrine of sovereignty accepts the possibility that the integrity of the V.A.T. system may be compromised by the levying of tax on illegal activities, in terms of the cooperation between tax and other aspects of the U.K.’s legal system. European law, feminist law, commodification and the marketplace are all considered within the context of these principles. The article also considers the place of Polok within standard feminist texts on prostitution. Different paradigms of prostitution define different aspects of prostitution as ‘problems’, and the article considers the implications within a feminist reconstruction of Polok of this. The article suggests that the challenge for a feminist analysis of Polok is to remain within the realm of European tax and competition law, and to render the perspective of the employees of the Polok taxpayers part of the substance of the deliberations of the case. (shrink)

A standard way of representing causation is with neuron diagrams. This has become popular since the influential work of David Lewis. But it should not be assumed that such representations are metaphysically neutral and amenable to any theory of causation. On the contrary, this way of representing causation already makes several Humean assumptions about what causation is, and which suit Lewis’s programme of Humean Supervenience. An alternative of a vector diagram is better suited for a powers ontology. Causation should be (...) understood as connecting property types and tokens where there are dispositions towards some properties rather than others. Such a model illustrates how an effect is typically polygenous: caused by many powers acting with each other, and sometimes against each other. It models causation as a tendency towards an effect which can be counteracted. The model can represent cases of causal complexity, interference, over-determination and causation of absence (equilibrium). (shrink)

Hume thought that if you believed in powers, you believed in necessary connections in nature. He was then able to argue that there were none such because anything could follow anything else. But Hume wrong-footed his opponents. A power does not necessitate its manifestations: rather, it disposes towards them in a way that is less than necessary but more than purely contingent. -/- In this paper a dispositional theory of causation is offered. Causes dispose towards their effects and often produce (...) them. But a set of causes, even though they may succeed in producing an effect, cannot necessitate it since the effect could have been counteracted by some additional power. This would require a separation of our concepts of causal production and causal necessitation. The most conspicuous cases of causation are those where powers accumulate and pass a requisite threshold for an effect to occur. -/- We develop a model for representing powers as constituent vectors within an n-dimensional quality space, where composition of causes appears as vector addition. Even our resultant vector, however, has to be understood as having dispositional force only. This model throws new light on causal modality and cases of prevention, causation by absence and probabilistic causation. (shrink)

Is the world of appearances the real world? Are there facts that exist independently of our minds? Are there vague objects? _Russell on Metaphysics_ brings together for the first time a comprehensive selection of Russell's writing on metaphysics in one volume. Russell's major and lasting contribution to metaphysics has been hugely influential and his insights have led to the establishment of analytic philosophy as a dominant stream in philosophy. Stephen Mumford chronicles the metaphysical nature of these insights through accessible introductions (...) to the texts, setting them in context and understanding their continued importance. _Russell on Metaphysics_ is both a valuable introduction to Bertrand Russell as a metaphysician, and an introduction to analytic philosophy and its history. (shrink)

Mumford puts forward a new theory of dispositions, showing how central their role in metaphysics and philosophy of science is. Much of our understanding of the physical and psychological world is expressed in terms of dispositional properties--from the spin of a sub-atomic particle to the solubility of sugar. Mumford discusses what it means to say that something has a property of this kind and how dispositions can possibly be real things in the world.

Does A cause B simply if A prevents what would have prevented B? Such a case is known as double prevention: where we have the prevention of a prevention. One theory of causation is that A causes B when B counterfactually depends on A and, as there is such a dependence, proponents of the view must rule that double prevention is causation.<br><br>However, if double prevention is causation, it means that causation can be an extrinsic matter, that the cause and effect (...) need not be connected by a continuous chain of events, that there can be causation by absence, and that there can be causation at a distance. All of these implications jar with strong intuitions we have about the nature of causation. There is, on the other hand, a theory of causation based on an ontology of real dispositions, where causation involves the passing around of powers. This theory in contrast entails that double prevention is not causation and, on this issue, it can claim a victory over the counterfactual dependence account. (shrink)

"In this distinguished volume, Lewis Mumford discusses the ultimate ethical and religious issues that confront modern man and offers a new orientation, directed to the renewal of life and the re-integration of modern civilization"--Back cover.

I firmly believed there was a world outside of our own minds... But all around me were challenges.... How could we be so sure there were such things existing apart from us? Philosopher Benedict Chilwell faces a crisis of confidence and hopes to resolve it in a self-imposed exile, far away in the north of Norway. From his cabin, he begins his meditations, pondering the mysteries of philosophy in the dark Arctic winter. Pride, a whale, love and lust, the Huldra, (...) God and a chain of causes all interrupt Benedict's solitude. Could they prove his salvation? In six days approaching the return of the light, Benedict discovers a basis for certainty and tries his best to convince his hosts. Through doubts, questions and reasoning, Chilwell inadvertently follows in Descartes' footsteps. Will he be killed by the cold too; or will the warmth of Plato's sun save him in time? (shrink)

Free will is a problem of modality, hampered by a commitment to modal dualism: the view that there is only necessity and pure contingency. If we have necessity, then things couldn't have been otherwise, against the Principle of Alternate Possibilities (AP). If there is complete contingency, then the agent seems to have no control over her actions, against the principle of Ultimate Authorship (UA). There is a third modality in natural causal processes, however. AP and UA can be reconciled if (...) we allow both causation and agency to involve the dispositional modality. (shrink)

Do we watch sport for pure dumb entertainment? While some people might do so, Stephen Mumford argues that it can be watched in other ways. Sport can be both a subject of high aesthetic values and a valid source for our moral education. The philosophy of sport has tended to focus on participation, but this book instead examines the philosophical issues around watching sport. Far from being a passive experience, we can all shape the way that we see sport. Delving (...) into parallels with art and theatre, this book outlines the aesthetic qualities of sport from the incidental beauty of a well-executed football pass to the enshrined artistic interpretation in performed sports such as ice-skating and gymnastics. It is argued that the purist literally sees sport in a different way from the partisan, thus the aesthetic perception of the purist can be validated. The book moves on to examine the moral lessons that are to be learned from watching sport, depicting it as a contest of virtues. The morality of sport is demonstrated to be continuous with, rather than separate from, the morality in wider life, and so each can inform the other. Watching sport is then recognised as a focus of profound emotional experiences. Collective emotion is particularly considered alongside the nature of allegiance. Finally, Mumford considers why we care about sport at all. Addressing universal themes, this book will appeal to a broad audience across philosophical disciplines and sports studies. (shrink)