In a famous lecture in 1900, David Hilbert listed 23 difficult problems he felt deserved the attention of mathematicians in the coming century. His conviction of the solvability of every mathematical problem was a powerful incentive to future generations: ``Wir müssen wissen. Wir werden wissen.'' (We must know. We will know.) Some of these problems were solved quickly, others might never be completed, but all have influenced mathematics. Later, Hilbert highlighted the need to clarify the methods of mathematical reasoning, using (...) a formal system of explicit assumptions, or axioms. Hilbert's vision was the culmination of 2,000 years of mathematics going back to Euclidean geometry. He stipulated that such a formal axiomatic system should be both `consistent' (free of contradictions) and `complete' (in that it represents all the truth). Hilbert also argued that any wellposed mathematical problem should be `decidable', in the sense that there exists a mechanical procedure, a computer program, for deciding whether something is true or not. Of course, the only problem with this inspiring project is that it turned out to be impossible. (shrink)

Bazzocchi disposes the text of the Tractatus in a user-friendly manner, exactly as Wittgenstein's decimals advise. This discloses the logical form of the book by distinct reading units, linked into a fashioned hierarchical tree. The text becomes much clearer and every reader can enjoy, finally, its formal and literary qualities.

Although many bioethicists have given attention to the special health issues of Africa and to the ethics of research on the continent, only a handful have considered these issues through the lens of African moral thought. The question has been for the most part neglected as to what a distinctively African moral perspective would be for the analysis and teaching of bioethics issues. To address the oversight, the authors of this paper describe embarking on a project aimed at incorporating African (...) moral perspective, values and philosophy into a teaching curriculum. The authors clarify the rationale for the project and discuss the strategies employed in Africanizing the bioethics curriculum. (shrink)

This volume of the Great American Thinkers series purports to let Thoreau speak for himself, primarily through passages quoted from his journals. Originally published in fourteen volumes, the journals represent over twenty years of Thoreau's life, and are the background and, in some cases, the original form of works more polished and more widely known. Murray has aptly considered Thoreau's wide range of thought and comment under several main headings, such as "Primacy or Purpose," "Society as Burden," and "Freedom and (...) Simplicity." In this arrangement, many of Thoreau's specific and often curt observations can be seen in a more general context, with Thoreau himself providing some of the keys to the transition.--G. B. S. C. (shrink)