A model of spontaneous collapse of fermionic degrees of freedom in a quantum field is presented which has the advantages that it explicitly maintains energy conservation and gives results in agreement with an existing numerical method for calculating quantum state evolution, namely the quantum trajectories model.

Previous work has shown that spontaneous collapse of Fock states of identical fermions can be modeled as arising from random Rabi oscillations between two states. In this paper, a mathematical formalism is presented to incorporate this into many-body quantum field theory. This formalism allows for nonlocal collapse in the context of a relativistic system. While there is no absolute time-ordering of events, this approach allows for a coherent narrative of the collapse process.

Human aesthetic experiences are pervasive; they are triggered by faces, art, natural scenery, foods, ideas, theories, and decision-making situations, among many sources, and seem to be a distinctive trait of our species. Our moral sense, understood as our capacity to judge events, actions, or people as good or bad, appropriate or inappropriate, also seems to be an exclusively human endowment (Ayala 2010). As part of the scientific efforts to characterize the biological foundations of our human uniqueness, recently there has been (...) interest in the brain’s underpinnings of aesthetic reactions to art on the one hand, and in the neural correlates of moral judgment and decision-making on the other (Greene and Paxton .. (shrink)

This book is intended for mathematicians. Its origins lie in a course of lectures given by an algebraist to a class which had just completed a sub stantial course on abstract algebra. Consequently, our treatment ofthe sub ject is algebraic. Although we assurne a reasonable level of sophistication in algebra, the text requires little more than the basic notions of group, ring, module, etc. A more detailed knowledge of algebra is required for some of . the exercises. We also assurne (...) a familiarity with the main ideas of set theory, including cardinal numbers and Zorn's Lemma. In this book, we carry out a mathematical study of the logic used in mathematics. We do this by constructing a mathematical model oflogic and applying mathematics to analyse the properties of the model. We therefore regard all our existing knowledge of mathematics as being applicable to the analysis of the model, and in particular we accept set theory as part of the meta-Ianguage. We are not attempting to construct a foundation on which all mathematics is to be based-rather, any conclusions to be drawn about the foundations of mathematics co me only by analogy with the model, and are to be regarded in much the same way as the conclusions drawn from any scientific theory. (shrink)

As a social psychologist addressing mainly the topics of social facilitation (motivation) and attitudinal effects of mere exposure (affect), between 1965 and 1975 Robert B. Zajonc authored prominent works that relied on or led to observations of the actions of nonhuman animals. Zajonc pointed to insects, worms, fish, fowl, birds, mice, rats, cats, dogs, monkeys, and apes as animal models whereby responses of beasts were used as evidential substitutes (with apparently equal weight) for responses of man. These efforts notwithstanding, animal-based (...) research no longer has visibility in mainstream social psychology. Reasons for this absence include general historical trends in the field’s development. (shrink)

The book attempts, in as comprehensive a way as possible, to make clear the central issues for the theory of knowledge, so as to provide a framework for that subject and also to indicate something of the way in which, as the author believes, the issues should be faced.

It is through our actions that we affect the way the world goes. Whenever we face a choice of what to do, we also face a choice of which of various possible worlds to actualize. Moreover, whenever we act intentionally, we act with the aim of making the world go a certain way. It is only natural, then, to suppose that an agent's reasons for action are a function of her reasons for preferring some of these possible worlds to others, (...) such that what she has most reason to do is to bring about the possible world which, of all those available to her, is the one that she has most reason to want to obtain. This is what is known as the `teleological conception of practical reasons'. Whether this is the correct conception of practical reasons is important not only in its own right, but also in virtue of its potential implications for what sort of moral theory we should accept. Below, I argue that the teleological conception is indeed the correct conception of practical reasons. (shrink)

Central to Elements is an assay of the attributional union properties and relations have with their subjects, a topic historically left metaphorical. The work critiques eight Aristotelian assumptions concerning attribute dependence and ‘inherence’, per se subjects, attributes as agent-organizers, and unity-by-a-shared-one. Groups of these assumptions are seen to yield contradiction, vicious regress, or other problems. This analysis, joined with insights from an assay of ubiquitous structure, motivate ten theses explicating attribution and its primary ontic status. The theses detail: attributes proper (...) as individuated instances, structure as instance-generated facts and their two forms of composition, the conditioning role and universal nature of instances’ component intensions, the primacy of attribute instances for generating all forms of composition and complex entities, and identity and indiscernibility criteria for the latter. Principal is the insight that attribution is intension-determined combinatorial agency. It is its systematizing implications that provide solutions to classic problems, e.g., Composition, Individuation, and Universals, and in net generate a comprehensive one-category structuralist ontology. (shrink)

This book is available either individually, or as part of the specially-priced Arguments of the Philosphers Collection.

There has been a good deal of interest in recent years in what Franz Brentano had to say about the notion of ‘intentional objects’ and about intentionality as a criterion of the mental. There has been less interest in his classification of mental phenomena. In his Psychology from an Empirical Standpoint Brentano asserts and argues for the thesis that mental phenomena can be classified in terms of three kinds of mental act or activity, all of which are directed towards an (...) immanent object. These are, respectively, presentation, judgment and what he calls the phenomena of love and hate. Once again, less interest has been shown in what he has to say about the last of these three than in what he says about the others. I wish to take Brentano's views as the point of departure for a discussion of love and hate, since these notions seem to me to have a good deal of philosophical interest, for at least two main reasons. First, I have recently had some concern with the part that personal relations play in our understanding of others and of ourselves, and love and hate seem to be very important elements in such relations. Second, love and hate have long seemed to me to provide important counter-examples to some prevalent philosophical theories about the emotions. I shall take this issue first. (shrink)

In a recent article [Mertz 2001] in this journal I argued for the virtues of a realist ontology of relation instances (unit attributes). A major strength of this ontology is an assay of ontic ('material') predication that yields an account of individuation without the necessity of positing and defending 'bare particulars'. The crucial insight is that it is the unifying agency or combinatorial aspect of a relation instance as predicable that is for ontology the principium individuationis [Mertz 2002; 1996]. Or (...) in short, what is ontically predicable, precisely as such, is the cause of individuation. As a preface to this positive doctrine I offered arguments against the coherence of bare particulars as defended in an article by J. P. Moreland [1998]. In a reply contained in this issue Moreland and Timothy Pickavance (hereafter M/P) propose to answer my objections [2002]. The response that follows provides reasons why, I contend, M/P have not succeeded in parrying my objections to bare particulars. (shrink)

OBJECTIVES: To study empirically whether ethical theory (from the mainstream principles-based, virtue-based, and feminist schools) usefully describes the approaches doctors and nurses take in everyday patient care. DESIGN: Ethnographic methods: participant observation and interviews, the transcripts of which were analysed to identify themes in ethical approaches. SETTING: A British old-age psychiatry ward. PARTICIPANTS: The more than 20 doctors and nurses on the ward. RESULTS: Doctors and nurses on the ward differed in their conceptions of the principles of beneficence and respect (...) for patient autonomy. Nurses shared with doctors a commitment to liberal and utilitarian conceptions of these principles, but also placed much greater weight on relationships and character virtues when expressing the same principles. Nurses also emphasised patient autonomy, while doctors were more likely to advocate beneficence, when the two principles conflicted. CONCLUSION: The study indicates that ethical theory can, contrary to the charges of certain critics, be relevant to everyday health care-if it (a) attends to social context and (b) is flexible enough to draw on various schools of theory. (shrink)

There have in recent years been at least two important attempts to get to grips with Aristotle's conception of dialectic. I have in mind those by Martha C. Nussbaum in ‘Saving Aristotle's appearances’, which is chapter 8 of her The Fragility of Goodness, and by Terence H. Irwin in his important, though in my opinion somewhat misguided, book Aristotle's First Principles. There is a sense in which both of these writers are reacting to the work of G. E. L. Owen (...) on cognate matters, particularly his well-known paper ‘Tithenai ta phainomena’. Owen himself was in part reacting to what I suppose is the traditional view of how Aristotle regarded dialectic, as revealed in Topics I. 1. On that view dialectic is for Aristotle a lesser way of proceeding than is demonstration, the method of science. For demonstration proceeds from premises which are accepted as true in themselves and moves from them to conclusions which follow necessarily from those premises; and the middle term of such a demonstrative syllogism then provides the ‘reason why’ for the truth of the conclusion. Dialectic proceeds from premises which are accepted on a lesser basis ‘by everyone or by the majority or by the wise, i.e. by all, or by the majority, or by the most notable and reputable of them’, and proceeds deductively from them to further conclusions. (shrink)