BRIDGES Mathematical Connections in Art, Musk, aoo Science The Art-Science Marriage, From Quarrel to Understanding. Review of articles in BRIDGES: Mathematical Connections in Art, Music, and Science. Conference Proceedings, Southwestern College, Winfield, Kansas, July 1998. Solomon Marcus Romanian Academy, Mathematics Calea Victoriei 125, Bucuresti, Romania
[email protected] The Emergence of Bridges The key word, giving the motivation of the most contributions in this volume, is BRIDGES. The title of the volume is just the slogan under which the Conference was announced at the beginning of the year 1998. This slogan requires some explanations. The noun "bridge" and the verb "to bridge" became, in the last decades, one of the most frequent· metaphors to which a reference is made when the adopted approach crosses different fields. Is it equivalent to what is traditionally called interdisciplinarity? It seems that "bridge" is in some sense less and in some other sense more. We will not speak of bridging mathematics and mechanics, because their .collaboration is very old. "Bridge" is reserved for fields or trends not yet connected or insufficiently connected. But this is not the only difference. Interdisciplinarity is usually understood in a unidirectional binary way: some ideas, tools, results or methods from a discipline A are used in approaching a problem in another discipline B. "Bridging A and B" may refer also to the case when A and B are entities of another type than disciplines, for instance one can bridge nature and culture (the slogan of an international congress of semiotics was "Semiotics Bridging Nature and Culture"), the quantum level and the cosmic level of reality (like in quantum cosmology), exactness and abstraction (like in mathematics), Plato and Leonardo da Vinci (like in some artistic works), objective and subjective (like in some philosophical approaches), etc.