An appropriate kind of curved Hilbert space is developed in such a manner that it admits operators of $\mathcal{C}$ - and $\mathfrak{D}$ -differentiation, which are the analogues of the familiar covariant and D-differentiation available in a manifold. These tools are then employed to shed light on the space-time structure of Quantum Mechanics, from the points of view of the Feynman ‘path integral’ and of canonical quantisation. (The latter contains, as a special case, quantisation in arbitrary curvilinear coordinates when space is (...) flat.) The influence of curvature is emphasised throughout, with an illustration provided by the Aharonov-Bohm effect. (shrink)

Science naively presupposes the intelligibility of the universe, necessary laws, and a universal truth. The author reflects on these presuppositions to arrive at a demonstration of God's existence. In a vigorous and exclamatory style, he condemns the alternative views of idealism, phenomenology, and philosophies of science which cannot rationally justify their faith in a universal truth. The only rational basis for these presuppositions is a theistic God--the "Vérité mesurante" and "Pensée fondatrice" of scientific reason.--A. B. D.

On Zakī Najīb Maḥmūd ; Egyptian philosopher and thinker.

We investigate a possible form of Schrödinger’s equation as it appears to moving observers. It is shown that, in this framework, accelerated motion requires fictitious potentials to be added to the original equation. The gauge invariance of the formulation is established. The example of accelerated Euclidean transformations is treated explicitly, which contain Galilean transformations as special cases. The relationship between an acceleration and a gravitational field is found to be compatible with the picture of the ‘Einstein elevator’. The physical effects (...) of an acceleration are illustrated by the problem of the uniformly-accelerated harmonic oscillator. (shrink)

In this article, we develop an approach for the moral assessment of research and development networks on the basis of the reflective equilibrium approach proposed by Rawls and Daniels. The reflective equilibrium approach aims at coherence between moral judgments, principles, and background theories. We use this approach because it takes seriously the moral judgments of the actors involved in R & D, whereas it also leaves room for critical reflection about these judgments. It is shown that two norms, namely reflective (...) learning and openness and inclusiveness, which are used in the literature on policy and technological networks, contribute to achieving a justified overlapping consensus. We apply the approach to a case study about the development of an innovative sewage treatment technology and show how in this case the two norms are or could be instrumental in achieving a justified overlapping consensus on relevant moral issues. (shrink)

Complete works of Maṇḍanamiśra, Indian philosopher; includes study on his work also.

[D. H. Mellor] Kant's claim that our knowledge of time is transcendental in his sense, while false of time itself, is true of tenses, i.e. of the locations of events and other temporal entities in McTaggart's A series. This fact can easily, and I think only, be explained by taking time itself to be real but tenseless. /// [J. R. Lucas] Mellor's argument from Kant fails. The difficulties in his first Antinomy are due to topological confusions, not the tensed nature (...) of time. Nor are McTaggart' s difficulties due to the tensed nature of time. The ego-centricity of tensed discourse is an essential feature of communication between selves, each of whom refers himself as 'I', and is required for talking about time as well as experience and agency. Arguments based on the Special Theory are misconceived. Some rest on a confused notion of 'topological simultaneity'. In the General Theory a cosmic time is defined, as also in quantum mechanics, where a natural present is defined by a unique hyperplane of collapse into eigen-ness. (shrink)

Authors philosophical notes on life, conduct of life from the perspective of a life.