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From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its significance in the mathematical landscape. The main thesis is that Klein’s Erlangen program in geometry is in fact a particular instance of a general and broad phenomenon revealed by category theory. The volume starts with Eilenberg and Mac Lane’s work in the early 1940’s and follows the major developments of the theory from this perspective. Particular attention is paid to the philosophical elements involved in this development. The book ends with a presentation of categorical logic, some of its results and its significance in the foundations of mathematics. From a Geometrical Point of View aims to provide its readers with a conceptual perspective on category theory and categorical logic, in order to gain insight into their role and nature in contemporary mathematics. It should be of interest to mathematicians, logicians, philosophers of mathematics and science in general, historians of contemporary mathematics, physicists and computer scientists.
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These are the proceedings of the 8th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty, ECSQARU 2005, held in Barcelona (Spain), July 6–8, 2005. The ECSQARU conferences are biennial and have become a major forum for advances in the theory and practice of r- soning under uncertainty. The ?rst ECSQARU conference was held in Marseille (1991), and after in Granada (1993), Fribourg (1995), Bonn (1997), London (1999), Toulouse (2001) and Aalborg (2003). The papers gathered in this volume were selected out of 130 submissions, after a strict review process by the members of the Program Committee, to be presented at ECSQARU 2005. In addition, the conference i...
This book constitutes the refereed proceedings of the 14th Australian Joint Conference on Artificial Intelligence, AI 2001, held in Adelaide, Australia, in December 2001. The 55 revised full papers presented together with one invited contribution were carefully reviewed and selected from a total of 100 submissions. The papers cover the whole range of artificial intelligence from theoretical and foundational issues to advanced applications in a variety of fields.
Between 1750 and his death in 1781, the Marquis de Marigny?brother of Madame de Pompadour, courtier to Louis XV, and one of eighteenth-century France's important patrons of art and architecture?amassed a collection that was broad in scope, progressive in taste, and exceptional in quality and provenance. This book offers a transcription of the exhaustive inventory of Marigny's estate together with an essay in which Alden R. Gordon not only sketches Marigny's life and times but also re-creates the interiors and grounds where the paintings, statues, books, household goods, and other property listed in the inventory were displayed and used. Also included are plans of Marigny's last four residences; lists of heirs, paintings, and auction sales; transcriptions of shipping manifests and sales catalogs; indexes; and a glossary.
"A bibliography of some works relating to the Huguenot refugees, whence they came, where they settled": v. 1, pp. 130-149.