Foundations and Applications depend ultimately for their existence on each other. The main links between them are education and the axiomatic method. Those links can be strengthened with the help of a categorical method which was concentrated forty years ago by Cartier, Grothendieck, Isbell, Kan, and Yoneda. I extended that method to extract some essential features of the category of categories in 1965, and I apply it here in section 3 to sketch a similar foundation within the smooth categories which (...) provide the setting for the mathematics of change. The possibility that other methods may be needed to clarify a contradiction introduced by Cantor, now embedded in mathematical practice, is discussed in section 5. (shrink)

Essay Review of two books of A.N. Maxwell, last of the Neo-Popperians: The Comprehensibility of the Universe (1998) and The Human World in the Physical Universe (2001).

Federal political orders often exhibit a conflict between the ideals of equality and political autonomy, since individuals in different subunits often enjoy systematically different standards of living conditions. While federal arrangements may be theoretically attractive to avoid despotism, such federal inequality would appear to conflict with the principles of egalitarian cosmopolitanism. The paper argues that individuals' interest in equal shares of income and wealth may legitimately be weighed against their interest in political control enjoyed by their subunit, as long as (...) the inequalities do not engender misery, domination, or unfair procedures. The reasons for subunit autonomy include reducing the risk of domination, increasing the responsiveness to local preferences, and reducing the burdens of decision making. These arguments also suggest that states may not always be the appropriate subunits in legitimate federal orders. (shrink)

This article provides an introduction to the articles in this theme issue. This collection examines epistemological, ontological, moral and political questions in medicine in light of the philosophical ideas of Charles Taylor. A synthesis of Taylor's relevant work is presented. Taylor has argued for a conception of the human sciences that regards human life as meaningful–deriving meaning from surrounding horizons of significance. An overview of the interdisciplinary articles in this issue is presented. This collection advances our thinking in the philosophy (...) of medicine as well as the philosophy of Charles Taylor. (shrink)

I argue that the concept of 'longitudinal form', which Poplawski and Gillett have introduced into ethical discussions about embryos and gametes, involves too many metaphysical subtleties to be a useful aid to making moral decisions. I conclude by suggesting a criterion for relevance in medical ethics.

In a discussion-note in Mind, Father P. M. Farrell, O.P., gave an account, in what he admitted to be an embarrassingly brief compass, of the Thomist doctrine concerning evil. There is one sentence in this discussion which at first glance appears paradoxical. Father Farrell has been arguing that a universe containing ‘corruptible good’ as well as incorruptible is better than one containing ‘incorruptible good’ only. He continues: ‘If, however, they are to manifest this corruptible good, they must be corruptible and (...) they must sometimes corrupt.’ The final words, despite Father Farrell's italics, strike one as expressing, not a self-evident truth, but a non sequitur. The fact that I am capable of committing murder does not entail that I will at some time commit it. It is not immediately obvious that a similar entailment holds in the case of corruption and corruptibility. (shrink)