A discussion of the meaning of a physical concept cannot be separated from discussion of the conditions for its ideal measurement. We assert that quantization is no more than the invocation of the quantum of action in the explanation of some process or phenomenon, and does not imply an assertion of the fundamental nature of such a process. This leads to an ecumenical approach to the problem of quantization of the gravitational field. There can be many valid approaches, each of (...) which should be judged by the domain of its applicability to various phenomena. If two approaches have overlapping domains, the relation between them then itself becomes a subject of study. We advocate an approach to general relativity based on the unimodular group, which emphasizes the physical significance and measurability of the conformal and projective structures. A discussion of the method of matched asymptotic expansions, and of the weakness of terrestrial sources compared with astrophysical and cosmological sources, leads us to suggest theoretical studies of gravitational radiation based on retrodiction rather than prediction. (shrink)

a Mathematicians, like Proust and everyone else, are at their best when writing about their first lovea (TM) a ] They are among the very best we have; and their best is very good indeed. a ] One approaches this book with high hopes. Happily, one is not disappointed. a ]In paperback it might well have become a best seller. a ]read it. From The Mathematical Intelligencer Mathematics is shaped by the consistent concerns and styles of powerful minds a three (...) of which are represented here. Kaca (TM)s work is marked by deep commitment and breadth of inquiry. Rota is the easiest of these authors to reada ]a delight: witty and urbane, with a clear and interesting agenda and an astonishing intellectual range. To read him is to be a part of a pleasant and rewarding conversation. Jacob T. Schwartz attacks problems ina ]computer science, mathematical economics, computer and instructional a ] No matter how slippery the problem, Schwartz manages to capture a substantial chunk of it in his mathematical net. a Mathematics Magazine This is a volume of essays and reviews that delightfully explore mathematics in all its moods a from the light and the witty, and humorous to serious, rational, and cerebral. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and applications of mathematics broadly. You will also find history and philosophy covered, including discussion of the work of Ulam, Kant, Heidegger among others. (shrink)

Abstrak: Pemisahan antara ruang privat dan publik merupakan solusi liberalisme atas tantangan pluralitas masyarakat modern. Dalam kaca mata politik pengakuan, solusi liberalisme tidak mencukupi. Liberalisme dianggap mengenal individu hanya sebagai subjek hukum dan karena itu hanya dapat memperhatikan tuntutan validitas hukum. Dalam kaca mata liberalisme, kesetaraan subjek-subjek hukum hanya dapat dijamin jika aspek-aspek tradisi, kultural dan konsep hidup baik dijauhkan dari politik. Namun apa yang menjadi objek pengakuan justru aspek-aspek ini. Tulisan ini memperkenalkan konsep konsep pengakuan intersubjektif Axel Honneth. Konsep (...) pengakuan intersubjektif melampaui paham pengakuan interkultural seperti diperkenalkan oleh tokoh seperti Charles Taylor. Dalam paradigma intersubjektif, pengakuan tidak hanya dilihat pada tataran relasi interkultural, tapi dipahami sebagai sebuah antropologi. Pengakuan mengkonstruksi manusia sebagai subjek. Hal ini ditunjukkan Honneth dalam uraiannya tentang pelbagai tingkatan interaksi antarmanusia yakni tataran cinta, hukum dan solidaritas. Pada bagian akhir tulisan diajukan beberapa pertimbangan kritis atas konsep pengakuan Honneth ini. Kata-kata Kunci: Pengakuan, multikulturalisme, intersubjektivitas, teleologi, autentisitas. Abstract: The separation between private and public spheres is the solution of liberalism to the challenges of plurality in modern societies. In the perspective of politics of recognition this solution of liberalism is insufficient. Liberalism is considered to recognize the individual only as a subject of law and therefore can only attend to the demands of legal validity. In the perspective of liberalism, equality of legal subjects can only be guaranteed if the aspects of tradition, culture and the concept of a good life are seperated from politics. But precisely these aspects are the object of recognition. This paper introduces the concept of intersubjective recognition of Axel Honneth. The concept of intersubjective recognition goes beyond intercultural recognition as introduced by Charles Taylor, for example. In the intersubjective paradigm, recognition is not only seen at the level of intercultural relations, but understood as an anthropology. Recognition constructs the human being as subject. This is shown by Honneth in his account of the various levels of human interaction, that is the level of love, law and solidarity. At the end of the article the author will give some critical considerations on Honneth's concept of recognition. Keywords: Recognition, multiculturalism, intersubjectivity, teleology, authenticity. (shrink)