An information-theoretic approach is shown to derive both the classical weak-field equations and the quantum phenomenon of metric fluctuation within the Planck length. A key result is that the weak-field metric $\bar h_{\mu \nu } $ is proportional to a probability amplitude φuv, on quantum fluctuations in four-position. Also derived is the correct form for the Planck quantum length, and the prediction that the cosmological constant is zero. The overall approach utilizes the concept of the Fisher information I acquired in (...) a measurement of the weak-field metric. An associated physical information K is defined as K=I−J, where J is the information that is intrinsic to the physics (stress-energy tensor Tμv) of the measurement scenario. A posited conservation of information change δI=ΔJ implies a variational principle δK=0. The solution is the weak-field equations in the metric $\bar h_{\mu \nu } $ and associated equations in the probability amplitudes φuv. The gauge condition φ v uv =0 (Lorentz condition) and conservation of energy and momentum Tv μv=0 are used. A well-known “bootstrapping” argument allows the weak-field assumption to be lifted, resulting in the usual Einstein field equations. A special solution of these is well known to be the geodesic equations of motion of a particle. Thus, the information approach derives the classical field equations and equations of motion, as well as the quantum nature of the probability amplitudes φuv. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Place and the "Spatial Turn" in Geography and in HistoryCharles W. J. WithersI. IntroductionA few years ago, British Telecom ran a newspaper advertisement in the British press about the benefits—and consequences—of advances in communications technology. Featuring a remote settlement in the north-west Highlands of Scotland, and with the clear implication that such "out-of-the-way places" were now connected to the wider world (as if they had not been before), the (...) advert proclaimed "Geography is History." What the advert signalled to as the "end" of geography in the sense of the social gradients associated with space and distance is what is known, variously, as "time-space convergence" and "time-space distanciation."1 The terms embrace not just the "collapse" of geographical space given technical advances (in travel time and in communications—consequences of what Castells calls "the information age" and "the network society"2), but also the idea that the modern world has become [End Page 637] more homogenized. One place is now much the same as another. Further, given the likelihood of such technical and cultural changes continuing into the future, geographical distinctiveness, evident in the particularity of place, would be a thing of the past: geography would indeed be history. There is, of course, much evidence to the contrary: that, in the face of "globalisation," questions of locality, sense of place and of identity in place matter now more than ever. Even, then, as Francis Fukuyama cautioned against the "death" of liberal democratic politics as The End of History,3 geography—that is, geography understood as questions to do with place, and questions to do with where you are in the world as part of questions about how you are and who you are in the world—has had considerably heightened significance and for some places and people more than others.4These notions of place—as a particular location, and the character or sense of place—are only part of the meanings associated with place in geographical and in historical work. Like space, its regular epistemic dancing partner in geographical ubiquity and metaphysical imprecision, place is a widespread yet complex term. What follows is historiographical in focus and, of necessity, partial in range. I offer a historiographical survey of the term place, principally but not alone within recent work in geography. In more detail, and with reference to one of the strong senses in which place is used, namely that of locale, "the local," or localness, I trace here the connections between place, space, and the idea of the local as evident in recent work in history and in geography, especially within the history and the geography of science. Particular attention is paid in this context to the distinctive features of what we may think of as the "spatial turn" in the history of science by looking at the idea of place and space in recent work in Enlightenment studies. My argument is three-fold. Notions of place and space, much debated by geographers, have been as central a concern for intellectual historians and historians of science as for philosophers and others, but they have been differently expressed. There is, I shall argue, value in looking at these different views in order to understand that whilst place is a commonplace term it is not agreed upon: working with imprecision has been both opportunity and restriction. In relation to work within the history of science and in Enlightenment studies, consideration of the so-called "spatial turn," of place [End Page 638] as social practice and of placing as a process in accounting for the uneven movement of ideas over space and time may help provide some precision and strengthen connections between geography and history.II. Place (In Geography): A Partial HistoriographyPlace is one of the most fundamental concepts in human geography. It is also one of the most problematic.5 Place, or small-scale regional space, features as a subdivision within the Classical tripartite division of cosmography (the earth in relation to other planetary bodies), geography (the earth as a whole) and chorography (parts of the earth or regional geography). So, too, does the distinction between chorography and chronology as... (shrink)

The Enlightenment was the age in which the world became modern, challenging tradition in favor of reason, freedom, and critical inquiry. While many aspects of the Enlightenment have been rigorously scrutinized—its origins and motivations, its principal characters and defining features, its legacy and modern relevance—the geographical dimensions of the era have until now largely been ignored. Placing the Enlightenment contends that the Age of Reason was not only a period of pioneering geographical investigation but also an age with spatial dimensions (...) to its content and concerns. Investigating the role space and location played in the creation and reception of Enlightenment ideas, Charles W. J. Withers draws from the fields of art, science, history, geography, politics, and religion to explore the legacies of Enlightenment national identity, navigation, discovery, and knowledge. Ultimately, geography is revealed to be the source of much of the raw material from which philosophers fashioned theories of the human condition. Lavishly illustrated and engagingly written, Placing the Enlightenment will interest Enlightenment specialists from across the disciplines as well as any scholar curious about the role geography has played in the making of the modern world. (shrink)

(1980). “A thoroughly good school”: An examination of the Hazelwood experiment in progressive education. British Journal of Educational Studies: Vol. 28, No. 1, pp. 46-59.

W. J. Mander provides a brief introduction to and critical assessment of the thought of the greatest of the British Idealist philosophers, F. H. Bradley (1846-1924), whose work has been largely neglected in this century. After a general introduction to Bradley's metaphysics and its logical foundations, Mander shows that much of Bradley's philosophy has been seriously misunderstood. Mander argues that any adequate treatment of Bradley's thought must take full account of his unique dual inheritance from the traditions of British empiricism (...) and Hegelian rationalism. The scholarship of recent years is assessed, and new interpretations are offered of Bradley's views about truth, predication, and relations, and of his arguments for idealism. (shrink)

Apart from the scientific unknowns and technological barriers that complicate the development of medical neuroimaging applications, various relevant actors might have different ideas on what is considered advancement or progress in this field. We address the challenge of identifying societal actors and their different points of view concerning neuroimaging technologies in an early phase of neuroimaging development. To this end, we conducted 16 semistructured interviews with societal actors, including governmental policy makers, health professionals, and patient representatives, in the Netherlands. We (...) show how the contextual aspects of applications and underlying features of the ideal health system determine the desirability. Neuroimaging developments are perceived as innovations that will optimize the current health system or as opportunities to change existing structures and practices of the current health system more radically. Insights into and understanding of these visions show incongruence between visions regarding desirable medical neuroimaging use and potential conflicting visions regarding the embedding of neuroimaging applications. We conclude that it is possible to prospectively identify incongruent visions and analyze when these visions will most likely come into conflict with each other. Such an analysis might provide a reflective space, beyond personal and political interest, suitable as a starting point for joint reflection and mutual learning in order to manage medical neuroimaging innovations towards more responsible applications. (shrink)

Theists typically think it appropriate to pray to God in the hope that He will thereby intervene in affairs. On the other hand, such prayer is often held to be quite inappropriate for pantheists; a view endorsed by many pantheists themselves. This paper argues for the exact opposite of these positions. It is maintained not only that pantheism can make sense of petitionary prayer but that, despite initial appearances to the contrary, classical theism can not.

Modal logics are studied in their algebraic disguise of varieties of so-called modal algebras. This enables us to apply strong results of a universal algebraic nature, notably those obtained by B. Jonsson. It is shown that the degree of incompleteness with respect to Kripke semantics of any modal logic containing the axiom □ p → p or containing an axiom of the form $\square^mp \leftrightarrow\square^{m + 1}p$ for some natural number m is 2 ℵ 0 . Furthermore, we show that (...) there exists an immediate predecessor of classical logic (axiomatized by $p \leftrightarrow \square p$ ) which is not characterized by any finite algebra. The existence of modal logics having 2 ℵ 0 immediate predecessors is established. In contrast with these results we prove that the lattice of extensions of S4 behaves much better: a logic extending S4 is characterized by a finite algebra iff it has finitely many extensions and any such logic has only finitely many immediate predecessors, all of which are characterized by a finite algebra. (shrink)

W. J. Mander examines the nature of idealist ethics, that is to say, the form and content of ethical belief most typically adopted by philosophical idealists. His inquiry has two aims. The first is historical: from the record of past philosophy, Mander demonstrates that there exists a discernible idealist approach to moral philosophy; a tradition of 'idealist ethics', and examines its characteristic marks and varieties. The second aim is apologetic. He argues that such idealist ethics offers an attractive way of (...) looking at moral questions and that it has much to contribute to contemporary discussion. In particular he argues that Idealist ethics have the power to cut through the sterile opposition between moral realism and moral anti-realism. To be an idealist is precisely to hold that the universe is so constituted that things are real if and only if they are ideal; to hold that uncovering in something the work of mind makes it more not less significant. (shrink)

F. H. Bradley did not write extensively or systematically on the philosophy of religion, and much of what he did write has the character of either tentative speculation or the pre-emptive rebuttal of potential misinterpretations that might threaten his general philosophical position. ‘I admit that on this subject I never had much to say’ he warns. But such a remark should not discourage us from considering his views on this topic, since the disclaimer is typically Bradleian, and more reflective of (...) his high standards for what is required in order to claim to have something to say about some matter than of any genuine lack of opinion. On closer inspection we find that he has, scattered throughout his work, a great many important things to say about this subject. (shrink)

We study modal logics in the setting of varieties of modal algebras. Any variety of modal algebras generated by a finite algebra — such, a variety is called tabular — has only finitely many subvarieties, i.e. is of finite height. The converse does not hold in general. It is shown that the converse does hold in the lattice of varieties of K4-algebras. Hence the lower part of this lattice consists of tabular varieties only. We proceed to show that there is (...) a continuum of pretabular varieties of K4-algebras — those are the non-tabular varieties all of whose proper subvarieties are tabular — in contrast with Maksimova's result that there are only five pretabular varieties of S4-algebras. (shrink)

W. J. Mander presents a history of metaphysics in nineteenth-century Britain. He traces the story of the development and interplay of three great schools of thought, the agnostics, the empiricists, and the idealists, and their different responses to the idea of an ultimate but unknowable way that things really are in themselves.

W. J. Mander presents the first ever synoptic history of British Idealism, the school of thought which dominated English-language philosophy from the 1860s to the early 20th century. He restores to its proper place this neglected period of philosophy, introducing the exponents of Idealism and explaining its distinctive concepts and doctrines.