Re: Frege against the Booleans

JW = Jim Willgoose

JW: List, Irving, John et. al., Sluga (Frege against the Booleans;
     Notre Dame Journal of Formal logic 1987)) places great emphasis
     upon the priority principle in Frege, which stresses that the
     judgement is epistemically, ontologically, and methodologically
     primary.  He tries to show that Frege thought that Schroder's
     view exhibited a bias towards the methodological primacy of
     concepts by drawing on Schroder's Introductory parts of the
     Algebra of Logic.  I think the central claim of the Sluga
     paper is that this supposed bias of the Booleans towards
     abstraction and the treatment of concepts as extensions
     of classes leads to a confusion over the relation between
     "abstract" or "pure" logic and predicate logic.  How this is,
     is not always easy to see, but the segmenting of the judgement
     relation does seem to lead to a problem in seeing the abstract
     logic as a special case of predicate logic.  How serious any of
     this is I don't know.  For instance, Mitchell took issue with a
     "Mr. Peirce" for speaking of a "universe of relation" instead of
     a "universe of class terms." (Studies in Logic; Johns Hopkins 1883).
     Maybe Peirce was vaguely aware of something which the products of
     analysis would end up obscuring.

Jim,

Just to be sure we start out with the same thing in mind, are you talking about
the notion of judgment that was represented by the "judgment stroke" in Frege's
“Begriffsschrift” and that supposedly got turned into the turnstile symbol ( ⊦ )
or “assertion symbol” in later systems of notation?

Jon

-- 

academia: http://independent.academia.edu/JonAwbrey
my word press blog: http://inquiryintoinquiry.com/
inquiry list: http://stderr.org/pipermail/inquiry/
mwb: http://www.mywikibiz.com/Directory:Jon_Awbrey
oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey
facebook page: https://www.facebook.com/JonnyCache
_______________________________________________
Inquiry mailing list
[email protected]
http://stderr.org/cgi-bin/mailman/listinfo/inquiry