This essay, one of the last that Frankena wrote, provides a scrupulously detailed exploration of the various possible meanings of one of Sidgwick's most famous footnotes in the Methods Long intrigued by what Sidgwick had in mind when he said that he would explain how it came about that for moderns it is not tautologous to claim that one's own good is one's only reasonable ultimate end, Frankena uses this note as a point of departure for a penetrating review of (...) Sidgwick's insights and ambiguities on the differences between ancient and modern ethics. (shrink)

The concept of "fitness" is a notion of central importance to evolutionary theory. Yet the interpretation of this concept and its role in explanations of evolutionary phenomena have remained obscure. We provide a propensity interpretation of fitness, which we argue captures the intended reference of this term as it is used by evolutionary theorists. Using the propensity interpretation of fitness, we provide a Hempelian reconstruction of explanations of evolutionary phenomena, and we show why charges of circularity which have been levelled (...) against explanations in evolutionary theory are mistaken. Finally, we provide a definition of natural selection which follows from the propensity interpretation of fitness, and which handles all the types of selection discussed by biologists, thus improving on extant definitions. (shrink)

An expansion of 3 lectures presented by the author in 1978 at the University of Michigan.

I begin with a note about moral goodness as a quality, disposition, or trait of a person or human being. This has at least two different senses, one wider and one narrower. Aristotle remarked that the Greek term we translate as justice sometimes meant simply virtue or goodness as applied to a person and sometimes meant only a certain virtue or kind of goodness. The same thing is true of our word “goodness.” Sometimes being a good person means having all (...) the virtues, or at least all the moral ones; then goodness equals the whole of virtue. But sometimes, being a good person has a narrower meaning, namely, being kind, generous, and so forth. Thus, my OED sometimes equates goodness with moral excellence as a whole and sometimes with a particular moral excellence, viz., kindness, beneficence, or benevolence; and the Bible, when it speaks of God as being good sometimes means that God has all the virtues and sometimes only that he is kind, mereiful, or benevolent. When Jesus says, “Why callest thou me good: None is good, save one, that is God,” he seems to be speaking of goodness in the inclusive sense, but when the writer of Exodus has God himself say that he is “merciful and gracious, long-suffering, and abundant in goodness and truth,” God is using “goodness” in the narrower sense in which it means benevolence, for he goes on to make it clear that he is also just and severe. Similarly, “good will” may mean either “morally good will” in general, as it does in Kant, or it may mean only “benevolent will,” as it usually does; in “men of good will” it is perhaps ambiguous. (shrink)

The fundamental result of Lanczos is used in a new type of quadratic variational principle whose field equations are the Einstein field equations together with the Yang-Mills type equations for the Riemann curvature. Additionally, a spin-2 theory of gravity for the special case of the Einstein vacuum is discussed.

Although numerical systems have been regarded as static models of a symbolic system and treated as mythological behavior, it is postulated that these systems are more profitably analyzed as dynamic models, better understood as ritual behavior. As ritual, numerical systems, limited in number and expressive of rhythmicity, contribute to the biogenetic structuralist's notion of “equilibration” between the central nervous system and the environment.The relationship between concrete and abstract numeration is also examined, showing that counting behavior, requiring asymmetrical use of the (...) hands, may contribute to understanding the relationships between handedness and brain hemisphericity, as well as enumeration and memorization. (shrink)

Let us accept the quantum mechanical description of a free particle and one fact from special relativity: rest mass contributes to energy. If we add to this bare framework one additional fact—that time runs slower near the earth—we can account for our everyday experience of gravity.

This paper provides an analytical overview of the apostolic networks in Britain. There are several ways to understand the success of the apostolic networks. They can be seen as an extreme answer to an extreme problem an answer to a profound secularisation leading to declining church attendance and influence within society. The apostolic networks appear to fit into post-modern society better than conventional denominational structures. In terms of their organization, despite appearances, these networks are however hierarchical like the denominational structures (...) which they challenge. The difference is in the characteristic informality with which these networks can collaborate with each other even when they grow. (shrink)

This edited volume is essentially a critique of the 2018 report of the Commission on Religious Education. In 1944, a coalition government (Conservative and Labour) passed a landmark education Act,...