Syntax in basic laws §§29–32

Pickel, B. (2010) Syntax in basic laws §§29–32. Notre Dame Journal of Formal Logic, 51(2), pp. 253-277. (doi: 10.1215/00294527-2010-016)

Full text not currently available from Enlighten.

Abstract

In order to accommodate his view that quantifiers are predicates of predicates within a type theory, Frege introduces a rule which allows a function name to be formed by removing a saturated name from another saturated name which contains it. This rule requires that each name has a rather rich syntactic structure, since one must be able to recognize the occurrences of a name in a larger name. However, I argue that Frege is unable to account for this syntactic structure. I argue that this problem undermines the inductive portion of Frege's proof that all of the names of his system denote in §§29–32 of The Basic Laws.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Pickel, Dr Bryan
Authors: Pickel, B.
College/School:College of Arts & Humanities > School of Humanities > Philosophy
Journal Name:Notre Dame Journal of Formal Logic
Publisher:University of Notre Dame
ISSN:0029-4527
ISSN (Online):1939-0726

University Staff: Request a correction | Enlighten Editors: Update this record