Carving Content at the Joints

Canadian Journal of Philosophy 38 (S1):145-177 (2008)
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
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DOI 10.1353/cjp.2011.0038
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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.

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

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