This paper shows that the non-Boolean logic of quantum measurements is more naturally represented by a relatively new 4-operation system of Boolean fractions—conditional events—than by the standard representation using Hilbert Space. After the requirements of quantum mechanics and the properties of conditional event algebra are introduced, the quantum concepts of orthogonality, completeness, simultaneous verifiability, logical operations, and deductions are expressed in terms of conditional events thereby demonstrating the adequacy and efficacy of this formulation. Since conditional event algebra is nearly Boolean (...) and consists merely of ordered pairs of standard events or propositions, quantum events and the so-called “superpositions” of states need not be mysterious, and are here fully explicated. Conditional event algebra nicely explains these non-standard “superpositions” of quantum states as conjunctions or disjunctions of conditional events, Boolean fractions, but does not address the so-called “entanglement phenomena” of quantum mechanics, which remain physically mysterious. Nevertheless, separating the latter phenomena from superposition issues adds clarity to the interpretation of quantum entanglement, the phenomenon of influence propagated at faster than light speeds. With such treacherous possibilities present in all quantum situations, an observer has every reason to be completely explicit about the environmental–instrumental configuration, the conditions present when attempting quantum measurements. Conditional event algebra allows such explication without the physical and algebraic remoteness of Hilbert space. (shrink)

The sum, difference, product and quotient of two functions with different domains are usually defined only on their common domain. This paper extends these definitions so that the sum and other operations are essentially defined anywhere that at least one of the components is defined. This idea is applied to propositions and events, expressed as indicator functions, to define conditional propositions and conditional events as three-valued indicator functions that are undefined when their condition is false. Extended operations of "and", "or", (...) "not" and "conditioning" are then defined on these conditional events with variable conditions. The probabilities of the disjunction and of the conjunction of two conditionals are expressed in terms of the conditional probabilities of the component conditionals. In a special case, these are shown to be weighted averages of the component conditional probabilities where the weights are the relative probabilities of the various conditions. Next, conditional random variables are defined to be random variables X whose domain has been restricted by a condition on a second random variable Y. The extended sum, difference, product and conditioning operations on functions are then applied to these conditional random variables. The expectation of a random variable and the conditional expectation of a conditional random variable are recounted. Theorem 1 generalizes the standard result that the conditional expectation of the sum of two conditional random variables with disjoint and exhaustive conditions is a weighted sum of the conditional expectations of the component conditional random variables. Because of the extended operations, the theorem is true for arbitrary conditions. Theorem 2 gives a formula for the expectation of the product of two conditional random variables. After the definition of independence of two random variables is extended to accommodate the extended operations, it is applied to the formula of Theorem 2 to simplify the expectation of a product of conditional random variables. Two examples end the paper. The first concerns a work force of n workers of different output levels and work shifts. The second example involves two radars with overlapping surveillance regions and different detection error rates. One radar's error rate is assumed to be sensitive to fog and the other radar's error rate is assumed to be sensitive to air traffic density. The combined error rate over the combined surveillance region given heavy fog and moderate air traffic is computed. (shrink)

This paper uses a non-distributive system of Boolean fractions (a|b), where a and b are 2-valued propositions or events, to express uncertain conditional propositions and conditional events. These Boolean fractions, 'a if b' or 'a given b', ordered pairs of events, which did not exist for the founders of quantum logic, can better represent uncertain conditional information just as integer fractions can better represent partial distances on a number line. Since the indeterminacy of some pairs of quantum events is due (...) to the mutual inconsistency of their experimental conditions, this algebra of conditionals can express indeterminacy. In fact, this system is able to express the crucial quantum concepts of orthogonality, simultaneous verifiability, compatibility, and the superposition of quantum events, all without resorting to Hilbert space. A conditional (a|b) is said to be "inapplicable" (or "undefined") in those instances or models for which b is false. Otherwise the conditional takes the truth-value of proposition a. Thus the system is technically 3-valued, but the 3rd value has nothing to do with a state of ignorance, nor to some half-truth. People already routinely put statements into three categories: true, false, or inapplicable. As such, this system applies to macroscopic as well as microscopic events. Two conditional propositions turn out to be simultaneously verifiable just in case the truth of one implies the applicability of the other. Furthermore, two conditional propositions (a|b) and (c|d) reside in a common Boolean sub-algebra of the non-distributive system of conditional propositions just in case b = d, their conditions are equivalent. Since all aspects of quantum mechanics can be represented with this near classical logic, there is no need to adopt Hilbert space logic as ordinary logic, just a need perhaps to adopt propositional fractions to do logic, just as we long ago adopted integer fractions to do arithmetic. The algebra of Boolean fractions is a natural, near-Boolean extension of Boolean algebra adequate to express quantum logic. While this paper explains one group of quantum anomalies, it nevertheless leaves no less mysterious the 'influence-at-a-distance', quantum entanglement phenomena. A quantum realist must still embrace non-local influences to hold that "hidden variables" are the measured properties of particles. But that seems easier than imaging wave-particle duality and instant collapse, as offered by proponents of the standard interpretation of quantum mechanics. (shrink)

This article presumes to achieve a relatively definitive philosophical treatment of the creation-science issue (concerning teaching evolution in the schools) identified as a complex and troublesome piece of public rhetoric requiring careful attention to a number of distinct points to gain an adequate response to it. Questions of fact, theory, logic, professional responsibility, human being, metaphysics, education, law, religion, and ethics are all critically examined with a sampling of pertinent sources. As an unexpected movement in our time creation-science rhetoric represents (...) many conflicting interests, most significantly a confused but legitimate call for philosophical thinking which should not go unheeded. (shrink)

Is string theory a futile exercise as physics, as I believe it to be? It is an interesting mathematical specialty and has produced and will produce mathematics useful in other contexts, but it seems no more vital as mathematics than other areas of very abstract or specialized math, and doesn't on that basis justify the incredible amount of effort expended on it.

The overarching goal of environmentalism as a political movement is the creation of sustainable societies that share resources fairly among people, and among people and other species. The core objectives of environmental philosophy should include articulating the ideals and principles of such just and generous sustainability, arguing for them among academics and in the public sphere, and working out their implications in particular areas of our environmental decision-making. That means challenging the goodness of endless economic growth and helping other environmental (...) thinkers specify plausible and appealing alternatives to the economic status quo. It means ending our craven failure to honestly address population issues. It means committing to living according to our own environmental ideals. Interestingly, the mainstream philosophical tradition has some important, underutilized resources that, combined with new andcreative thinking, can help us achieve these goals and keep ethical philosophy relevant to meeting the challenges of the 21st century. (shrink)

This paper examines the relationship between Arthur Fine’s “Natural Ontological Attitude” and the work of neo-pragmatists, particularly Hilary Putnam and Richard Rorty. I argue that many of the problems that face Fine’s account can be seen as a direct result of his failure to employ certain key pragmatist insights concerning the nature and status of the realism-antirealism issue. Consequently, I suggest that we should cease to think of Fine as representative of mainstream attempts to dispense with the realism-antirealism issue and (...) instead view NOA as an unfortunate mixture of opposed philosophical traditions. (shrink)

In this paper, I shall be concerned to show: that Winch believes that there can be different conceptions of ‘agreement with reality’; that Wittgenstein agrees with this, but emphasizes the difficulty of understanding such conceptions; that Winch realizes this difficulty, and yet still tries to gain understanding of primitive social institutions in terms of their sense of the significance of human life, in terms of the limiting notions of birth, death and sexual relations; that such a notion of the significance (...) of human life cannot be made sense of without an understanding of the concept of agreement with reality which undergirds it; that Winch's position is internally incoherent. (shrink)

Jean-Paul Sartre was once described as being the most famous Frenchman of the twentieth century, after President Charles de Gaulle! Certainly from 1945 until his death in 1980, Sartre was the most famous and prolific writer in France, and one of the best known philosophers of his day.

Employing a thematic approach and drawing on disciplines ranging from neurobiology to philosophy, Film and Morality examines how morality is presented in films and how films serve as a source of moral values. While the role of censorship in upholding moral standards has been considered comprehensively, the presence of moral dilemmas in films has not attracted the same level of interest. Film-makers may address moral concerns explicitly, but moral dilemmas can serve as plot devices, creating dramatic tension by providing pivotal (...) moments when characters are called upon to make life-changing decisions. Drawing on a range of well-known and neglected films mainly from Britain and America, this book provides numerous examples of how film-makers make use of morality and how audiences are invited to explore moral issues by following characters who live with the consequences of their choices. Film and Morality introduces philosophical debates on such topics as free will, conscience and the place of moral codes in everyday life, showing the relevance of film to these issues. The book presents a distinct approach to how films might be analysed. (shrink)

This paper is the product of a roundtable discussion held at the international conference Horizons of Engagement: Eternalizing Bourdieu, organized by the Institute for Philosophy and Social Theory of Belgrade, Serbia, the Centre for Advanced Studies of The University of Rijeka, Croatia, the?cole Normale Sup?rieure of Paris, France, and the French Institute in Serbia. The event was planned on the occasion of the ninetieth anniversary of the birth of one of the world?s leading sociologists - Pierre Bourdieu. The greatest indicator (...) of the scope of Bourdieu?s influence is the fact that he has become the world?s most cited sociologist, ahead of?mile Durkheim, and the world?s second most cited author in social sciences and the humanities, after Michel Foucault and ahead of Jacques Derrida. As part of this discussion, we address the subject of?Bourdieu and Politics?, politics - broadly constructed. We evoke Pierre Bourdieu?s involvement in public affairs during the 1990s, while taking into account the concept of the collective intellectual that Bourdieu introduced into social sciences by giving it a specific meaning. (shrink)

This biography illuminates the life and thought of Baroness Mary Warnock, whose active years spanned the second half of the twentieth century, a period during which opportunities for middle-class women rapidly and vastly improved.

DNA transfer directly from cell to cell (conjugation) is common among prokaryotes, particularly Gram‐negative bacteria like Escherichia coli. The phenomenon invariably requires a set of plasmid genes in the DNA donor cell. In addition, E. coli itself makes limited and specific contributions to the donor activity of strains carrying the conjugative plasmid F. These contributions have yet to be defined biochemically, but it is already clear that the cell envelope is an importan nexus between plasmid‐ and chromosome‐encoded proteins required for (...) the establishment and maintenance of DNA donor activity. (shrink)

This study investigated subjective experiences of nine men who had been psychiatrically hospitalized upon being assessed as "dangerous-to-others-due-to-a-mental-illness." Using a phenomenological interviewing approach, researchers helped subjects construct narratives of their pre-hospitalization experiences. The research illuminated aspects of life-contexts that were shared among all or nearly all subjects: feeling ostracized and alone; struggling with longstanding and pervasive feelings of inadequacy; experiencing a sense or a fear of having little or no control or options in life; and feeling emotionally depressed, misunderstood, and (...) uncared for. Situations immediately preceding hospitalization were characterized by subjects experiencing threats to their sense of self-esteem that were of heightened intensity. In five cases, subjects reported anxiety related to self-fragmentation or becoming "nothing." Perceived threats to self-worth and self-structure were accompanied by anger and aggressive acts or impulses. In all cases, aggressive impulses and threats, and violence appeared to be in the service of self-validation and self-empowerment. In cases of violent behavior, an apparent function of the subjects' behaviors was toward self-consolidation. Based on findings, the researchers discuss implications consistent with humanistic psychology and existential psychotherapy principles and practices. (shrink)