From ancient times to the present, the discovery and presentation of new proofs of previously established theorems has been a salient feature of mathematical practice. Why? What purposes are served by such endeavors? And how do mathematicians judge whether two proofs of the same theorem are essentially different? Consideration of such questions illuminates the roles that proofs play in the validation and communication of mathematical knowledge and raises issues that have yet to be resolved by mathematical logicians. The Appendix, in (...) which several proofs of the Fundamental Theorem of Arithmetic are compared, provides a miniature case study. (shrink)
This is the first book to offer the best essays, articles, and speeches on ethics and intelligence that demonstrate the complex moral dilemmas in intelligence collection, analysis, and operations. Some are recently declassified and never before published, and all are written by authors whose backgrounds are as varied as their insights, including Robert M. Gates, former Director of the Central Intelligence Agency; John P. Langan, the Joseph Cardinal Bernardin Professor of Catholic Social Thought at the Kennedy Institute of Ethics, (...) Georgetown University; and Loch K. Johnson, Regents Professor of Political Science at the University of Georgia and recipient of the Owens Award for contributions to the understanding of U.S. intelligence activities. Creating the foundation for the study of ethics and intelligence by filling in the gap between warfare and philosophy, this is a valuable collection of literature for building an ethical code that is not dependent on any specific agency, department, or country. (shrink)
The American way of Renaissance and the Humanistic Tradition of Greece -- The Aristotelian tradition in American naturalism -- George Santayana and Greek philosophy -- Frederick J.E. Woodbridge and the Aristotelian tradition -- John Dewey and ancient philosophies -- John H. Randall Jr.'s interpretation of Greek philosophy -- The ontology of Herbert W. Schneider -- Ernest Nagel's pragmatism and Aristotle's principle of contradiction -- The naturalistic metaphysics of Justus Buchler -- Naturalism and the platonic tradition.
The purpose of this dissertation is to show how it is that three interpreters of Aristotle's texts on deliberation and the practical syllogism come to views which differ considerably from each other. I argue that the differences are largely due to which set of texts the interpreter takes as most important in relation to Aristotle's theory of the practical syllogism. Neither G. E. M. Anscombe, John M. Cooper, nor Martha Craven Nussbaum has expressed adequately Aristotle's use of the practical (...) syllogism in his writings. I argue that the practical syllogism is one phenomenon for which Aristotle has different purposes in the different places that it appears in his texts. Due to its different appearances, it is sometimes given different interpretations because of the context in which it appears. ;In the first chapter I list several texts which are relevant to Aristotle's theory of deliberation and of the practical syllogism. I then state briefly the kinds of views that are held on the relationship between deliberation and the practical syllogism, which leads me to formulate the questions to which this dissertation is to offer answers. In order to respond to these questions, I develop a separate set of questions which guide my examination of the interpretations by Anscombe, Cooper, and Nussbaum on deliberation and the practical syllogism in Aristotle's texts. My elucidation of these three interpreters' views is shown in chapters two through four. In the fifth and final chapter, I return to the former questions and answer them according to my elucidations of the interpreters' views. I then take four passages from Aristotle--DA 434a16-21, MA 701a17-25, EN 1112b11-12, 15-20, and EN 1147a24-28--which passages are important to his theory of the practical syllogism, and show the differences among the interpretations of these passages by Anscombe, Cooper, and Nussbaum. This, in conjunction with what I have shown up to this point, enables me to offer a conclusion concerning the entire controversy. My conclusion is compatible with the view that the practical syllogism and deliberation are one phenomenon for Aristotle, which phenomenon he puts to several uses. (shrink)
Page generated Mon Aug 2 11:59:54 2021 on philpapers-web-65948fd446-wp78j
cache stats: hit=19644, miss=21152, save= autohandler : 1580 ms called component : 1565 ms search.pl : 1314 ms render loop : 883 ms next : 458 ms initIterator : 428 ms addfields : 361 ms publicCats : 307 ms autosense : 168 ms match_other : 145 ms save cache object : 74 ms menu : 73 ms retrieve cache object : 69 ms quotes : 43 ms prepCit : 34 ms match_cats : 21 ms search_quotes : 8 ms applytpl : 5 ms intermediate : 1 ms match_authors : 1 ms init renderer : 0 ms setup : 0 ms auth : 0 ms writelog : 0 ms