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  • 标题:Fixed-Point Models for Theories of Properties and Classes
  • 本地全文:下载
  • 作者:Greg Restall
  • 期刊名称:Australasian Journal of Logic
  • 印刷版ISSN:1448-5052
  • 电子版ISSN:1448-5052
  • 出版年度:2017
  • 卷号:14
  • 期号:1
  • 语种:English
  • 出版社:Philosophy Department, University of Melbourne
  • 摘要:There is a vibrant (but minority) community among philosophical logicians seeking to resolve the paradoxes of classes, properties and truth by way of adopting some non-classical logic in which trivialising paradoxical arguments are not valid. There is also a long tradition in theoretical computer science|going back to Dana Scott's fixed point model construction for the untyped lambda-calculus of models allowing for fixed points. In this paper, I will bring these traditions closer together, to show how these model constructions can shed light on what we could hope for in a non-trivial model of a theory for classes, properties or truth featuring fixed points.
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