Let λ ≤ κ be infinite cardinals and let Ω be a set of cardinality κ. The bounded permutation group B λ (Ω), or simply B λ , is the group consisting of all permutations of Ω which move fewer than λ points in Ω. We say that a permutation group G acting on Ω is a supplement of B λ if B λ G is the full symmetric group on Ω. In [7], Macpherson and Neumann claimed to have classified (...) all supplements of bounded permutation groups. Specifically, they claimed to have proved that a group G acting on the set Ω is a supplement of B λ if and only if there exists $\Delta \subset \Omega$ with $|\Delta| such that the setwise stabiliser G {Δ} acts as the full symmetric group on $\Omega\setminus\Delta$ . However I have found a mistake in their proof. The aim of this paper is to examine conditions under which Macpherson and Neumann's claim holds, as well as conditions under which a counterexample can be constructed. In the process we will discover surprising links with cardinal arithmetic and Shelah's recently developed pcf theory. (shrink)

Keith Augustine’s critical evaluation of the essay contest sponsored by the Bigelow Institute of Consciousness Studies (BICS) is an interesting but problematic review. It mixes reasonable and detailed criticisms of the contest and many of the winning essays with a disappointing reliance on some of the most trite and superficial criticisms of parapsychological research. Ironically, Augustine criticizes the winning essays for using straw-man arguments and cherry-picked evidence even though many of his own arguments commit these same errors.

Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text by one of the centuries greatest authorities on the subject. Part I offers an elementary but thorough overview of mathematical logic of first order. The treatment does not stop with a single method of formulating logic; students receive instruction in a variety of techniques, first learning model theory (truth tables), then Hilbert-type proof theory, and proof theory handled through derived rules. Part II supplements (...) the material covered in Part I and introduces some of the newer ideas and the more profound results of logical research in the twentieth century. Subsequent chapters introduce the study of formal number theory, with surveys of the famous incompleteness and undecidability results of Godel, Church, Turing, and others. The emphasis in the final chapter reverts to logic, with examinations of Godel's completeness theorem, Gentzen's theorem, Skolem's paradox and nonstandard models of arithmetic, and other theorems. Unabridged republication of the edition published by John Wiley & Sons, Inc. New York, 1967. Preface. Bibliography. Theorem and Lemma Numbers: Pages. List of Postulates. Symbols and Notations. Index. (shrink)

ABSTRACT We argue that in societies like our own the prevailing view that parents have both special responsibilities for and special rights over their children fails to give a proper understanding of the autonomy both of parents and of children. It is our claim that there is a logical priority of the separable interests of a child over the autonomy of its parents in the fulfilment of their special responsibilities for and the exercise of their special rights over their children. (...) However, we believe that in acknowledging the child as a distinct locus of interests appropriate weight can still be given to parental autonomy. In particular, since raising a child is a long‐term commitment which plays a central role in the life‐plans of many adults it will be a legitimate exercise of an adult's autonomy strongly to influence the future of any children involved in such a plan. Such influence will be quite separate from paternalistic concern for those children. But the logical priority of the child's interests will at the same time show why parents are not entitled to behave proprietorially toward their children, even when paternalistic concern is called for. (shrink)

Challenging the myth that mathematical objects can be defined into existence, Bigelow here employs Armstrong's metaphysical materialism to cast new light on mathematics. He identifies natural, real, and imaginary numbers and sets with specified physical properties and relations and, by so doing, draws mathematics back from its sterile, abstract exile into the midst of the physical world.

In this paper reasons are given for accepting a paradigmatically ‘metaphysical’ thesis called Unrestricted Mereological Composition, or something close to it. These reasons are drawn from thoroughly empirical considerations that played a significant role in the history of physical sciences, particularly in the emergence of the Newtonian laws of motion. Roughly: this metaphysical thesis is supported by a principle of ‘inference to the best explanation’ of observations of the very same kind that paradigmatically furnish evidence supporting or undermining empirical theories (...) in physics. There are methodological morals in metaphilosophy to be drawn from this historical example – blurring the distinction that has been traditionally drawn between ‘metaphysical’ theses and ‘empirical’ hypotheses. (shrink)

This essay has two goals. The first is to define the behavioristic study of natural events and to classify behavior. The second is to stress the importance of the concept of purpose.Given any object, relatively abstracted from its surroundings for study, the behavioristic approach consists in the examination of the output of the object and of the relations of this output to the input. By output is meant any change produced in the surroundings by the object. By input, conversely, is (...) meant any event external to the object that modifies this object in any manner. (shrink)

In Return to Reason, Stephen Toulmin argues that the potential for reason to improve our lives has been hampered by a serious imbalance in our pursuit of ...

This book espouses a theory of scientific realism in which due weight is given to mathematics and logic. The authors argue that mathematics can be understood realistically if it is seen to be the study of universals, of properties and relations, of patterns and structures, the kinds of things which can be in several places at once. Taking this kind of scientific platonism as their point of departure, they show how the theory of universals can account for probability, laws of (...) nature, causation and explanation, and explore the consequences in all these fields. This will be an important book for all philosophers of science, logicians and metaphysicians, and their graduate students. The readership will also include those outside philosophy interested in the interrelationship of philosophy and science. (shrink)

The Hedgehog, the Fox, and the Magister's Pox is a controversial discourse, rich with facts and observations gathered by one of the most erudite minds of our ...

Stephen Toulmin argues that the potential for reason to improve our lives has been hampered by a serious imbalance in our pursuit of knowledge. The centuries-old dominance of rationality has diminished the value of reasonableness. Toulmin issues a powerful call to redress the balance between rationality and reasonableness.

This book espouses an innovative theory of scientific realism in which due weight is given to mathematics and logic. The authors argue that mathematics can be understood realistically if it is seen to be the study of universals, of properties and relations, of patterns and structures, the kinds of things which can be in several places at once. Taking this kind of scientific platonism as their point of departure, they show how the theory of universals can account for probability, laws (...) of nature, causation, and explanation, and explore the consequences in all these fields. This will be an important book for all philosophers of science, logicians, and metaphysicians, and their graduate students. The readership will also include those outside philosophy interested in the interrelationship of philosophy and science. (shrink)

"Biophilia" is the term coined by Edward O. Wilson to describe what he believes is humanity's innate affinity for the natural world. In his landmark book Biophilia, he examined how our tendency to focus on life and lifelike processes might be a biologically based need, integral to our development as individuals and as a species. That idea has caught the imagination of diverse thinkers. The Biophilia Hypothesis brings together the views of some of the most creative scientists of our time, (...) each attempting to amplify and refine the concept of biophilia. The variety of perspectives -- psychological, biological, cultural, symbolic, and aesthetic -- frame the theoretical issues by presenting empirical evidence that supports or refutes the hypothesis. Numerous examples illustrate the idea that biophilia and its converse, biophobia, have a genetic component: fear, and even full-blown phobias of snakes and spiders are quick to develop with very little negative reinforcement, while more threatening modern artifacts -- knives, guns, automobiles -- rarely elicit such a response people find trees that are climbable and have a broad, umbrella-like canopy more attractive than trees without these characteristics people would rather look at water, green vegetation, or flowers than built structures of glass and concrete The biophilia hypothesis, if substantiated, provides a powerful argument for the conservation of biological diversity. More important, it implies serious consequences for our well-being as society becomes further estranged from the natural world. Relentless environmental destruction could have a significant impact on our quality of life, not just materially but psychologically and even spiritually. (shrink)

What does it mean to think of philosophy in the condition of modernism, in which its relation to its past and future has become a relevant problem? This book argues that the writings of Wittgenstein, Heidegger, and Kierkegaard are best understood as responsive (each in their own way) to such questions. Through detailed analysis of these authors' most influential texts, Stephen Mulhall reorients our sense of the philosophical work each text aims to accomplish, engendering a critical dialogue between them (...) from which the elements of a new conception of philosophy might emerge. (shrink)

Transnational corporations have become actors with significant political power and authority which should entail responsibility and liability, specifically direct liability for complicity in human rights violations. Holding TNCs liable for human rights violations is complicated by the discontinuity between the fragmented legal/political structure of the TNC and its integrated strategic reality and the international state system which privileges sovereignty and non-intervention over the protection of individual rights. However, the post-Westphalian transition—the emergence of multiple authorities, increasing ambiguity of borders and jurisdiction (...) and blurring of the line between the public and private spheres—should facilitate imposing direct responsibility on transnational firms. Mechanisms for imposing direct responsibility on TNCs are considered including voluntary agreements and international law. However, I conclude that a hybrid public-private regime which relies on non-hierarchical compliance mechanisms is likely to be both more effective and consistent with the structure of the emerging transnational order. (shrink)

Organizational aesthetics, both as a body of theory and a method of inquiry, is a rapidly expanding area of the organizational sciences. The Aesthetics of Organization accessibly draws key contributions delineating the emerging parameters of the field. It explains the significance of concepts devised by postmodern thinkers, through which emerge meaning and order in organizations. Methodological problems associated with investigations of the aesthetic are also highlighted so the reader can identify and understand the importance of recent ideas on vision, perspective (...) and periphery for learning in organizations. Through the contributions of leading international theorists, organizational aesthetics is defined in greater historical and theoretical depth, with a broad conceptual and practical range which academics will find invaluable. (shrink)

Hume's Enlightenment Tract is the first full study for forty years of David Hume's Enquiry concerning Human Understanding. The Enquiry has, contrary to its author's expressed wishes, long lived in the shadow of its predecessor, A Treatise of Human Nature. Stephen Buckle presents the Enquiry in a fresh light, and aims to raise it to its rightful position in Hume's work and in the history of philosophy.

Presentists standardly conform to the eternalist’s paradigm of treating all cases of property-exemplification as involving a single relation of instantiation. This, we argue, results in a much less parsimonious and philosophically explanatory picture than is possible if other alternatives are considered. We argue that by committing to primitive past and future tensed instantiation ties, presentists can make gains in both economy and explanatory power. We show how this metaphysical picture plays out in cases where an individual exists to partake in (...) facts about its past and future, and also in cases where that individual no longer exists, and proxies (or surrogates) for that thing must be found. (shrink)

A central theme throughout the impressive series of philosophical books and articles Stephen Toulmin has published since 1948 is the way in which assertions and opinions concerning all sorts of topics, brought up in everyday life or in academic research, can be rationally justified. Is there one universal system of norms, by which all sorts of arguments in all sorts of fields must be judged, or must each sort of argument be judged according to its own norms? In The (...) Uses of Argument Toulmin sets out his views on these questions for the first time. In spite of initial criticisms from logicians and fellow philosophers, The Uses of Argument has been an enduring source of inspiration and discussion to students of argumentation from all kinds of disciplinary background for more than forty years. (shrink)

Humean supervenience is the doctrine that there are no necessary connections in the world. David Lewis identifies one big bad bug to the programme of providing Humean analyses for apparently non-Humean features of the world. The bug is chance. We put the bug under the microscope, and conclude that chance is no special problem for the Humean.

Traditionally, forces are causes of a special sort. Forces have been conceived to be the direct or immediate causes of things. Other sorts of causes act indirectly by producing forces which are transmitted in various ways to produce various effects. However, forces are supposed to act directly without the mediation of anything else. But forces, so conceived, appear to be occult. They are mysterious, because we have no clear conception of what they are, as opposed to what they are postulated (...) to do; and they seem to be hidden from direct observations. There is, therefore, strong initial motivation for trying to eliminate forces from physics. Furthermore, as we shall explain, powerful arguments can be mounted to show that theories with forces can always be recast as theories without them. Hence it seems that forces should be eliminated, in the interests of simplicity. We argue, however, that forces should not be eliminated--just differently construed. For the effect of elimination is to leave us without any adequate account of the causal relationships forces were postulated to explain. And this would remain the case, even if forces could be identified with some merely dispositional properties of physical systems. In our view, forces are species of the causal relation itself, and as such have a different ontological status from the sorts of entities normally considered to be related as causes to effects. (shrink)

In his second book, Tierney argues that the purpose of education must move to the heart of the educational debate. Purpose will significantly influence what schools and the education system as a whole will do next.

The norms of simplicity, convenience, unfussiness, and self-control guide Diogenes the Cynic, Zeno of Citium, Chrysippus, Seneca, Musonius Rufus, Epictetus, and Marcus Aurelius in approaching food. These norms generate the precept that meat and dainties are luxuries, so Stoics should eschew them. Considerations of justice, environmental harm, anthropogenic global climate change, sustainability, food security, feminism, harm to animals, personal health, and public health lead contemporary Stoics to condemn the meat industrial complex, debunk carnism, and select low input, plant-based foods.

Dr. Stephen Hawking was the most renowned scientist since Einstein, known both for his groundbreaking work in physics and cosmology and for his mischievous sense of humor. He educated millions of readers about the origins of the universe and the nature of black holes, and inspired millions more by defying a terrifying early prognosis of ALS, which originally gave him only two years to live. In later life he could communicate only by using a few facial muscles, but he (...) continued to advance his field and serve as a revered voice on social and humanitarian issues. Hawking not only unraveled some of the universe's greatest mysteries but also believed science plays a critical role in fixing problems here on Earth. Now he turns his attention to the most urgent issues facing us. Will humanity survive? Should we colonize space? Does God exist? These are just a few of the questions Hawking addresses in this wide-ranging, passionately argued final book from one of the greatest minds in history. Featuring a foreword by Eddie Redmayne, who won an Oscar playing Stephen Hawking, an introduction by Nobel Laureate Kip Thorne, and an afterword from Hawking's daughter, Lucy. (shrink)

Vectors, we will argue, are not just mathematical abstractions. They are also physical properties--universals. What make them distinctive are the rich and varied essences of these universals, and the complex pattern of internal relations which hold amongst them.

The authors argue, against Frank Jackson, that weakness (and strength) of will involves higher-order mental states. The authors hold that this is compatible with a decision-theoretic belief-desire psychology of human action.

Presents close analysis of eight of Francis Bacon's texts in order to investigate the relation of his religious views to his instauration. Attempts to correct the persistent misconception of Bacon as a secular modern who dismissed religion in order to promote the human advancement of knowledge"--Provided by publisher.