Authors
Timothy Perrine
Wuhan University
Abstract
This paper describes both an exegetical puzzle that lies at the heart of Frege’s writings—how to reconcile his logicism with his definitions and claims about his definitions—and two interpretations that try to resolve that puzzle, what I call the “explicative interpretation” and the “analysis interpretation.” This paper defends the explicative interpretation primarily by criticizing the most careful and sophisticated defenses of the analysis interpretation, those given my Michael Dummett and Patricia Blanchette. Specifically, I argue that Frege’s text either are inconsistent with the analysis interpretation or do not support it. I also defend the explicative interpretation from the recent charge that it cannot make sense of Frege’s logicism. While I do not provide the explicative interpretation’s full solution to the puzzle, I show that its main competitor is seriously problematic.
Keywords Frege  Logicism  Definitions  Analysis Interpretation  Explicative Interpretation
Categories (categorize this paper)
DOI 10.5840/ipq202124162
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

 PhilArchive page | Other versions
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Frege on Definitions.Sanford Shieh - 2008 - Philosophy Compass 3 (5):992-1012.
Formal Arithmetic Before Grundgesetze.Richard Kimberly Heck - 2019 - In Philip A. Ebert & Marcus Rossberg (eds.), Essays on Frege's Basic Laws of Arithmetic. Oxford: Oxford University Press. pp. 497-537.
Neo-Logicism and Its Logic.Panu Raatikainen - 2020 - History and Philosophy of Logic 41 (1):82-95.
Logicism as Making Arithmetic Explicit.Vojtěch Kolman - 2015 - Erkenntnis 80 (3):487-503.
Ramified Frege Arithmetic.Richard Heck - 2011 - Journal of Philosophical Logic 40 (6):715-735.
The Basic Laws of Cardinal Number.Richard Kimberly Heck - 2019 - In Philip A. Ebert & Marcus Rossberg (eds.), Essays on Frege's Basic Laws of Arithmetic. Oxford: Oxford University Press. pp. 1-30.
Logicism Reconsidered.Patricia A. Blanchette - 1990 - Dissertation, Stanford University
Ramified Frege Arithmetic.Richard G. Heck Jr - 2011 - Journal of Philosophical Logic 40 (6):715 - 735.
The Ontological Implications of Neo-Fregeanism.María de Ponte - 2016 - Daimon: Revista Internacional de Filosofía 69:159-174.

Analytics

Added to PP index
2021-02-05

Total views
63 ( #165,141 of 2,439,026 )

Recent downloads (6 months)
62 ( #10,987 of 2,439,026 )

How can I increase my downloads?

Downloads

My notes