Notre Dame Journal of Formal Logic 60 (4):617-637 (2019)

Authors
Bruno Bentzen
Carnegie Mellon University
Abstract
This paper aims to answer the question of whether or not Frege's solution limited to value-ranges and truth-values proposed to resolve the "problem of indeterminacy of reference" in section 10 of Grundgesetze is a violation of his principle of complete determination, which states that a predicate must be defined to apply for all objects in general. Closely related to this doubt is the common allegation that Frege was unable to solve a persistent version of the Caesar problem for value-ranges. It is argued that, in Frege’s standards of reducing arithmetic to logic, his solution to the indeterminacy does not give rise to any sort of Caesar problem in the book.
Keywords Caesar problem  Frege  Value-ranges  Indeterminacy of reference
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DOI 10.1215/00294527-2019-0022
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References found in this work BETA

Frege.Charles Parsons - 1996 - Philosophical Review 105 (4):540-547.
Julius Caesar and Basic Law V.Richard G. Heck - 2005 - Dialectica 59 (2):161–178.
Grundgesetze der Arithmetik I §§29‒32.Richard Heck - 1997 - Notre Dame Journal of Formal Logic 38 (3):437-474.
Grundgesetze der Arithmetic I §10.Richard Heck - 1999 - Philosophia Mathematica 7 (3):258-292.
To Be is to Be an F.Øystein Linnebo - 2005 - Dialectica 59 (2):201–222.

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