Components of the Ricci and Einstein tensors are expressed in terms of the Gaussian curvatures of elementary two-spaces formed by the orthogonal coordinate planes, and the results are applied to some standard metrics.

The question of punishment is one which has always interested and usually puzzled moralists, and which forms a crucial example for the testing of moral theories. A utilitarian theory, whether of the hedonistic or of the ‘ ideal ’ kind, if it justifies punishment at all, is bound to justify it solely on the ground of the effects it produces. The suffering of pain by the person who is punished is thought to be in itself a bad thing, and the (...) bringing of this bad thing into the world is held to need justification, and to receive it only from the fact that the effects are likely to be so much better than those that would follow from his non-punishment as to outweigh the evil of the pain. (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.

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)

The present paper develops arguments for the need to formulate the basic theories of physics in terms of a six-dimensional manifold, as opposed to the four-dimensional space-time continuum of conventional theory. Employing a purely classical approach, some of the dynamical consequences of such a formulation with regard to both electrodynamics and gravitation are evaluated. The results lead to interesting implications with regard to various questions such as the occurrence and importance of superluminal particles, the existence of two or more physically (...) distinct time scales, and the variation of the gravitational coupling constant G and the law of energy conservation. The analysis also suggests a physical interpretation of the additional coordinates that occur in the metric. (shrink)

D W Hamlyn; The Concept of Development, Journal of Philosophy of Education, Volume 9, Issue 1, 30 May 2006, Pages 26–39, https://doi.org/10.1111/j.1467-9752.197.

College students judged dog or cat misbehavior via questionnaire items. Common factor analysis yielded 3 dimensions of student response: the sinner ; the sin ; and mercy . Correlations among sinner, sin, and mercy factor scores supported predictions from causal attribution theory. Nevertheless, cross-tabulation analysis revealed that nearly 90% of all respondents endorsed mercy , regardless of the extent to which the animals were seen as sinners , or evaluations of the level of sin . Absolutely high average mercy scores (...) indicated an animal positivity bias. Results thus evoked the adage that "the quality of mercy is not strained." That is, regarding errant companion animals, cognitive responses to punish and to forgive are not always mutually exclusive options. (shrink)