John Barwise and Lawrence Moss, Vicious Circles: On the mathematics of Non-Wellfounded Phenomena

نویسنده

  • Varol Akman
چکیده

“[T]o a greater or lesser degree, every scientific advance marks some departure from the common sense that preceded it.” These words of Irving M. Copi (1979: 195) seem to summarize the nature of Vicious Circles in the most concise fashion. Following the steps of Aczel’s (1988) ground-breaking monograph which marked a departure from the “common sense” that is attributed to classical set theory, this new book (abbreviated as VC in the sequel) of Jon Barwise and Larry Moss not only offers an introduction to the revolutionary and fascinating topic of non-wellfounded sets (a.k.a. hypersets) but also becomes the most authoritative source for any serious researcher (mathematician, philosopher, or computer scientist alike) who wants to understand and further pursue this timely topic. Barwise’s quest for an enrichment of the concept of set can in fact be traced back to his pioneering project, jointly with John Perry, in situation theory and situation semantics (STASS) (Barwise and Perry, 1983: 52):

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عنوان ژورنال:
  • Journal of Logic, Language and Information

دوره 6  شماره 

صفحات  -

تاریخ انتشار 1997