Canadian Journal of Philosophy 38 (S1):145-177 (2008)

Stephen Yablo
Massachusetts Institute of Technology
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)
Reprint years 2008
DOI 10.1353/cjp.2011.0038
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 57,156
Through your library

References found in this work BETA

The Frege Reader.Gottlob Frege & Michael Beaney (eds.) - 1997 - Blackwell.
The Inscrutability of Reference.Donald Davidson - 1979 - Southwestern Journal of Philosophy 10 (2):7-19.
Neo-Fregean Ontology.Matti Eklund - 2006 - Philosophical Perspectives 20 (1):95-121.
Frege on Knowing the Third Realm.Tyler Burge - 1992 - Mind 101 (404):633-650.

View all 24 references / Add more references

Citations of this work BETA

Three Kantian Strands in Frege’s View of Arithmetic.Gilead Bar-Elli - 2014 - Journal for the History of Analytical Philosophy 2 (7).
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.
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.
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.


Added to PP index

Total views
213 ( #42,873 of 2,411,743 )

Recent downloads (6 months)
3 ( #244,463 of 2,411,743 )

How can I increase my downloads?


My notes