When Archimedes, while bathing, suddenly hit upon the principle of buoyancy, he ran wildly through the streets of Syracuse, stark naked, crying "eureka!" In The Moment of Proof, DonaldBenson attempts to convey to general readers the feeling of eureka--the joy of discovery--that mathematicians feel when they first encounter an elegant proof. This is not an introduction to mathematics so much as an introduction to the pleasures of mathematical thinking. And indeed the delights of this book are many (...) and varied. The book is packed with intriguing conundrums--Loyd's Fifteen Puzzle, the Petersburg Paradox, the Chaos Game, the Monty Hall Problem, the Prisoners' Dilemma--as well as many mathematical curiosities. We learn how to perform the arithmetical proof called "casting out nines" and are introduced to Russian peasant multiplication, a bizarre way to multiply numbers that actually works. The book shows us how to calculate the number of ways a chef can combine ten or fewer spices to flavor his soup (1,024) and how many people we would have to gather in a room to have a 50-50 chance of two having the same birthday (23 people). But most important, Benson takes us step by step through these many mathematical wonders, so that we arrive at the solution much the way a working scientist would--and with much the same feeling of surprise. Every fan of mathematical puzzles will be enthralled by The Moment of Proof. Indeed, anyone interested in mathematics or in scientific discovery in general will want to own this book. (shrink)
Partly as a result of much recent evidence of business and government crime, a large proportion of major corporations have adopted codes of ethics; government service is also making more use of them. The electrical manufacturing anti-trust conspiracy and 1973–1976 investigation of foreign and domestic bribery were immediate prods. There are also government codes of which the ASPA code is most widely distributed. Corporate codes discuss relations to employees, interemployee relationships, whistle blowing, effect on environment, commercial bribery, insider information, other (...) conflicts of interest, anti-trust, accounting, consumer relations, and political activities. A discussion of use of codes shows partly favorable results. A number of corporation decisions have not yet become a subject of code provisions. Codes will be more useful if the reasons behind each order are stated and team work is encouraged. (shrink)
This essay further substantiates the author’s earlier thesis that St. Bonaventure’s De reductione was the second half (or resumptio) of his inaugural lecture atParis. After reviewing the central aspect of that thesis, the essay further shows how an unedited inaugural sermon, Fons sapientiae Verbum Dei in excelsis (found in Vatican Burghesiani 157) received the De reductione in its earliest form, particularly in its use of specific authorities and its division of the lights of knowledge. The discovery of this sermon further (...) confirms in its reception of the De reductione that the work was originally an inaugural lecture. The essay then further explores the purpose and uniqueness of the De reductione as an inaugural lecture by comparing it to Fons sapientiae. (shrink)
Abstract: The authors analyse and compare two of the major moral education programmes in the United States, namely, Character Education Curriculum and the Values Clarification Programme. The latter is seen to be more egalitarian and to stress the development of autonomy and choice in the child. The former tends to follow the ?bag of virtues? approach to moral education and is more directly instructional in its methods. The strengths and weaknesses of these two programmes are compared and it is concluded (...) that both are significant steps towards an effective approach to moral education. (shrink)
The purpose of this study is twofold. The first objective is to examine the impact of an individual's ethical ideology and level of professional commitment on the earnings management decision. The second objective is to observe whether the presence of a personal benefit affects an individual's ethical orientation or professional commitment within the context of an opportunity to manage earnings. Using a sample of 375 undergraduate business majors, our results suggest a significant relationship between an individual's ethical orientation and decision-making. (...) Further, participants with higher levels of professional commitment seem to be less likely to engage in earnings management behavior and less likely to behave opportunistically. These results have the potential to add to our understanding of certain behaviors in entry-level personnel and should be of interest to managers, practitioners, academicians, and researchers. (shrink)
Bambrough, R. Essay on man.--Quinton, A. Has man an essence?--Warnock, G. J. Kant and anthropology.--Honderich, T. On inequality and violence, and the differences we make between them.--Cherry, C. Agreement, objectivity and the sentiment of humanity in morals.--Gregory, I. Psycho-analysis, human nature and human conduct.--Gosling, J. The natural supremacy of conscience.--Scruton, R. Reason and happiness.--Wollheim, R. Needs, desires, and moral turpitude.--Hollis, M. My role and its duties.--Watkins, J. Three views concerning human freedom.--Letwin, S. R. Nature, history, and morality.--Passmore, J. Attitudes to (...) nature.--Benson, J. Hog in sloth, fox in stealth: man and beast in moral thinking.--Hare, R. Contrasting methods of environmental planning.--Self, P. Techniques and values in policy decisions. (shrink)
The unifying theme of this issue is Plato’s dialectical view of mathematical progress and hypotheses. Besides provisional propositions, he calls concepts and goals also hypotheses. He knew mathematicians create new concepts and goals as well as theorems, and abandon many along the way, and erase the creative process from their proofs. So the hypotheses of mathematics necessarily change through use — unless Benson is correct that Plato believed mathematics could reach the unhypothetical goals of dialectic. Landry discusses Plato on (...) mathematical and philosophical problem solving. Arsen and White relate Plato’s philosophy to mathematics in his time, and to Aristotle. (shrink)
