Carving Content at the Joints

Canadian Journal of Philosophy 38 (S1):145-177 (2008)
Abstract
Here is Frege in Foundations of Arithmetic, § 64:The judgment 'Line a is parallel to line b', in symbols: ab, can be taken as an identity. If we do this, we obtain the concept of direction, and say: 'The direction of line a is equal to the direction of line b.' Thus we replace the symbol by the more generic symbol =, through removing what is specific in the content of the former and dividing it between a and b. We carve up the content in a way different from the original way, and this yields us a new concept.Something important is going on in this passage. But at the same time it borders on incoherent. For Frege is saying at least the following:'dir(a ) = dir(b )' has the same content as 'ab'reflecting on that ..
Keywords frege  hume's principle  numbers  wright  hale  abstraction  definition
Categories (categorize this paper)
DOI 10.1353/cjp.2011.0038
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,756
Through your library
References found in this work BETA
Neo-Fregean Ontology.Matti Eklund - 2006 - Philosophical Perspectives 20 (1):95–121.
Redefining 'Intrinsic'.David Lewis - 2001 - Philosophy and Phenomenological Research 63 (2):381-398.
Frege on Knowing the Foundation.Tyler Burge - 1998 - Mind 107 (426):305-347.
The Inscrutability of Reference.Donald Davidson - 1979 - Southwestern Journal of Philosophy 10 (2):7-19.

View all 12 references / Add more references

Citations of this work BETA
Higher‐Order Abstraction Principles.Beau Madison Mount - 2015 - Thought: A Journal of Philosophy 4 (4):228-236.

Add more citations

Similar books and articles
A Strengthening of the Caesar Problem.Joongol Kim - 2011 - Erkenntnis 75 (1):123-136.
Frege's Cardinals as Concept-Correlates.Gregory Landini - 2006 - Erkenntnis 65 (2):207 - 243.
Hale on Caesar.Peter Sullivan & Michael Potter - 1997 - Philosophia Mathematica 5 (2):135--52.
To Err is Humeant.Mark Wilson - 1999 - Philosophia Mathematica 7 (3):247-257.
Frege's Content-Principle and Relevant Deducibility.Neil Tennant - 2003 - Journal of Philosophical Logic 32 (3):245-258.
Frege's Other Program.Robert May - 2005 - Notre Dame Journal of Formal Logic 46 (1):1-17.
Dummett's Critique of Wright's Attempt to Resuscitate Frege.Bob Hale - 1994 - Philosophia Mathematica 2 (2):122-147.
Frege on Identities.Philip Hugly & Charles Sayward - 2000 - History and Philosophy of Logic 21 (3):195-205.
A Note on the ``Carving Up Content'' Principle in Frege's Theory of Sense.Bernard Linsky - 1991 - Notre Dame Journal of Formal Logic 33 (1):126-135.
Frege Meets Dedekind: A Neologicist Treatment of Real Analysis.Stewart Shapiro - 2000 - Notre Dame Journal of Formal Logic 41 (4):335--364.

Monthly downloads

Added to index

2012-02-23

Total downloads

163 ( #28,835 of 2,178,142 )

Recent downloads (6 months)

4 ( #73,247 of 2,178,142 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums