1. Roy T. Cook (2002). The State of the Economy: Neo-Logicism and Inflationt. Philosophia Mathematica 10 (1).
    In this paper I examine the prospects for a successful neo–logicist reconstruction of the real numbers, focusing on Bob Hale's use of a cut-abstraction principle. There is a serious problem plaguing Hale's project. Natural generalizations of this principle imply that there are far more objects than one would expect from a position that stresses its epistemological conservativeness. In other words, the sort of abstraction needed to obtain a theory of the reals is rampantly inflationary. I also indicate briefly why this problem is likely to reappear in any neo–logicist reconstruction of real analysis.
    Reading list   |  Discuss  |  Edit  |  Categorize  |  
     
    My bibliography  |
     
    Export citation | Scholar | At my library
    5 downloads  |  Added to index: 2009-01-28  |  Mark as duplicate  |  Remove from index  |  Revision history
    Bookmark and Share