In this engaged and engaging survey Piers Benn examines the major currents of ethical theory, concentrating on sound reasoning about morality. Benn's account offers a qualified defence of Aristotelian virtue theory, while bringing out what is distinctive and valuable in a broad range of approaches, such as those of Kant and the Utilitarians. His examples emphasize the ordinary choices of everyday life - gossip, friendship, honesty, sexual relations, work, and self-realization.

The notion of a Sasaki projectionon an orthomodular lattice is generalized to a mapping Φ: E × E → E, where E is an effect algebra. If E is lattice ordered and Φ is symmetric, then E is called a Φ-symmetric effect algebra.This paper launches a study of such effect algebras. In particular, it is shown that every interval effect algebra with a lattice-ordered ambient group is Φ-symmetric, and its group is the one constructed by Ravindran in his proof that (...) every effect algebra that has the Riesz decomposition property is an interval algebra. It is shown that the doubling construction introduced in the paper is connected to the conditional event algebrasof Goodman, Nguyen, and Walker. (shrink)

The missionary work of the Nederduitsch Hervormde Kerk van Afrika in theory and practice: in the past, present and futureIn this article a short survey is given of the missionary work, both in theory and practice, of the Nederduitsch Hervormde Kerk during the last fifty years. There is also an indication that the Church has reached a crucial point which is going to require thorough rethinking and reconsideration of our missionary work.

This paper is written in an analytic style, but it is meant to deprive analysis of an important prop. The title needs a short introduction. The mistake is to take ‘real’ as governed in its separate uses by criteria; and this paper is meant to show that this is a mistake and that Ausin makes it. In the course of the argument I try to develop my own account and, although I am not altogether satisfied with it, the result gives (...) something to build upon. I believe the mistake is by no means confined to Austin, but that it is connected with a particular conception of philosophy. (shrink)

The foundation of the mathematical theory of probabilities is still a controversial subject. There are schools of insufficient reasoning and of cogent reasoning, of a priori determination and of frequency determination, of subjective and of objective probability. Two main difficulties exist. The first is the definition of equally like events. The second difficulty is the relation between the laws of causal natural science and the laws of statistical regularity. Is it really necessary to add to the laws of mechanics one (...) or more independent “laws of large numbers” to explain the regularities in dice throwing? In all these cases different answers exist, and the existence of a mathematical theory of probabilities remains a kind of miracle, as esoteric to the further domain of natural science as the resurrection of the dead. (shrink)

Multiple -conclusion logic extends formal logic by allowing arguments to have a set of conclusions instead of a single one, the truth lying somewhere among the conclusions if all the premises are true. The extension opens up interesting possibilities based on the symmetry between premises and conclusions, and can also be used to throw fresh light on the conventional logic and its limitations. This is a sustained study of the subject and is certain to stimulate further research. Part I reworks (...) the fundamental ideas of logic to take account of multiple conclusions, and investigates the connections between multiple - and single - conclusion calculi. Part II draws on graph theory to discuss the form and validity of arguments independently of particular logical systems. Part III contrasts the multiple - and the single - conclusion treatment of one and the same subject, using many-valued logic as the example; and Part IV shows how the methods of 'natural deduction' can be matched by direct proofs using multiple conclusions. (shrink)

On creating a grammar for living together The article is about the question whether it is possible for South Africans to learn a new common moral language. Six well-known positions are considered: a common political language, a common economic language, a common Biblical language, a common Christian language, a common language of survival, and a common rational language.

Does South Africa need a common moral language? Many people are of the opinion that South Africa finds itself 'after Babel’ and needs a common moral language (1). The author considers some of the arguments of people who disagree with this analysis, because they do not define the problem in this way (2); because they find the language- or Babel-methaphor confusing (3); because they agree with the description of the problem, but not with the suggested solution, namely a common moral (...) language (4); or because they accept the solution, but do not regard it as the proper task of the Christian church to be involved in this search for a common moral language (5). (shrink)