Search (265 results, page 14 of 14)

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Footnote

Rez. in: Mathematical intelligencer 27(2005) no.4, S.48-56 (J. Petitot): "What exactly is the type of reality of mathematical ideal entities? This problem remains largely an open question. Any ontology of abstract entities will encounter certain antinomies which have been well known for centuries if not millennia. These antinomies have led the various schools of contemporary epistemology increasingly to deny any reality to mathematical ideal objects, structures, constructions, proofs, and to justify this denial philosophically, thus rejecting the spontaneous naive Platonism of most professional mathematicians. But they throw out the baby with the bath water. Contrary to such figures as Poincaré, Husserl, Weyl, Borel, Lebesgue, Veronese, Enriques, Cavaillès, Lautman, Gonseth, or the late Gödel, the dominant epistemology of mathematics is no longer an epistemology of mathematical content. For quite serious and precise philosophical reasons, it refuses to take into account what the great majority of creative brilliant mathematicians consider to be the true nature of mathematical knowledge. And yet, to quote the subtitle of Hao Wang's (1985) book Beyond Analytic Philosophy, one might well ask whether the imperative of any valid epistemology should not be "doing justice to what we know." The remarkable debate Conversations an Mind, Matter, and Mathematics between Alain Connes and JeanPierre Changeux, both scientific minds of the very first rank and professors at the College de France in Paris, takes up the old question of the reality of mathematical idealities in a rather new and refreshing perspective. To be sure, since it is designed to be accessible to a wide audience, the debate is not framed in technical terms; the arguments often employ a broad brush and are not always sufficiently developed. Nevertheless, thanks to the exceptional standing of the protagonists, the debate manages to be compelling and relevant. ...

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Date

20. 3.2008 14:22:43

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Date

27. 2.2008 20:48:44

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Date

22. 6.2005 9:44:50

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Footnote

Rez. in: Machine translation review: 1999, no.10, S.26-27 (D. Lewis): "Cross Language Information Retrieval (CLIR) addresses the growing need to access large volumes of data across language boundaries. The typical requirement is for the user to input a free form query, usually a brief description of a topic, into a search or retrieval engine which returns a list, in ranked order, of documents or web pages that are relevant to the topic. The search engine matches the terms in the query to indexed terms, usually keywords previously derived from the target documents. Unlike monolingual information retrieval, CLIR requires query terms in one language to be matched to indexed terms in another. Matching can be done by bilingual dictionary lookup, full machine translation, or by applying statistical methods. A query's success is measured in terms of recall (how many potentially relevant target documents are found) and precision (what proportion of documents found are relevant). Issues in CLIR are how to translate query terms into index terms, how to eliminate alternative translations (e.g. to decide that French 'traitement' in a query means 'treatment' and not 'salary'), and how to rank or weight translation alternatives that are retained (e.g. how to order the French terms 'aventure', 'business', 'affaire', and 'liaison' as relevant translations of English 'affair'). Grefenstette provides a lucid and useful overview of the field and the problems. The volume brings together a number of experiments and projects in CLIR. Mark Davies (New Mexico State University) describes Recuerdo, a Spanish retrieval engine which reduces translation ambiguities by scanning indexes for parallel texts; it also uses either a bilingual dictionary or direct equivalents from a parallel corpus in order to compare results for queries on parallel texts. Lisa Ballesteros and Bruce Croft (University of Massachusetts) use a 'local feedback' technique which automatically enhances a query by adding extra terms to it both before and after translation; such terms can be derived from documents known to be relevant to the query.