Using covariant derivatives and the operator definitions of quantum mechanics, gauge invariant Proca and Lehnert equations are derived and the Lorenz condition is eliminated in U(1) invariant electrodynamics. It is shown that the structure of the gauge invariant Lehnert equation is the same in an O(3) invariant theory of electrodynamics.

I emphasize four points: Socratic dialectic challenges the interlocutor not only to acquire the correct moral opinions, but to question and think for oneself and to develop one's own moral rationality; it involves anticipatory acts of several types of virtue: courage, moderation, and justice and concern for the common good as opposed to competition and jealousy; what is at stake is not only the topic of the particular exchange, but the opportunity for membership in a rational/educational community; and the fact (...) that Socrates' interlocutors typically reject the opportunity for moral insight and personal growth he makes available to them explains why he cannot be said to possess a techne of moral education, and why he insists that virtue cannot be taught. The process of education through the elenchus is not a matter of correct instruction, but of rational elicitation, which must be responded to by personal choice. Thus Socrates' principles may represent not only beliefs he has tested over many years of dialogue, but also values he has come to through participation in elenctic inquiry, the idealized extension of norms required by and created in the practice of dialectic. Socratic education involves the interlocutor in the confrontation with a self whose irrational attachments of appetite and ego are exposed and must be overcome for the interlocutor to experience catharsis. (shrink)

There is an immense amount of conceptual confusion on the notions of equality and human rights not only among lay people but also among contemporary philosophers and political and legal theorists. There is reason for this. These concepts have been used in a multiplicity of ways in the history of thought. Furthermore they constitute a substratum from which we somehow deduce norms which constitute part of our moral and political frameworks, norms about which all of us feel strongly one way (...) or another; and for this reason more heat than light is often the result of talk about these concepts. Clarity on these concepts is badly needed, and not simply for the sake of conceptual clarity, though that by itself is desirable. But it is plain to me that lack of clarity about these concepts could be in part responsible for what some of us, at least, would characterize as morally reprehensible behavior on the part of some quite well-intentioned human beings. This I will try to show later in this paper. My primary concern, however, is to make our ideas of these concepts clearer, as Peirce would put it. I do not pretend that the analysis which I offer is adequate, but I do hope that the distinctions introduced take us a few steps along the way. I will also consider the issue of the justification of equality and human rights as norms. My paper, then, will include both conceptual and metaethical elements as well as normative ones. The former I regard as a necessary preliminary to the latter. (shrink)

Excerpt from The Concept of Morals In morals finally we have the doctrine of ethical rela tivity.' It IS the same story over again. Morality ls doubtless human. It has not descended upon us out of the sky. It has grown out of human nature, and is relative to that nature. Nor could it have, apart from that nature, any meaning whatever. This we must, accept. But if this is interpreted to mean that whatever any social group thinks good is (...) good (for that group), that there is no common standard, and that consequently any one moral code is as good as any other, then this relativism in effect denies the difference between good and evil altogether, and makes meaningless the idea of progress in moral con ceptions. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)