Relative set theory: Internal view

نویسنده

  • Karel Hrbacek
چکیده

A nonstandard set theory with many levels of standardness was first proposed by Yves Péraire [28]. The theory GRIST formulated here is an extension of Péraire’s RIST. We prove that it is conservative and categorical over ZFC, and universal among theories of its kind. Technically, the paper carries out detailed analysis of the construction of internally iterated ultrapowers introduced in the author’s [13]. The objectives of an eventual extension of GRIST to a full relative set theory are briefly discussed in the last section.

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عنوان ژورنال:
  • J. Logic & Analysis

دوره 1  شماره 

صفحات  -

تاریخ انتشار 2009