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Carving Content at the Joints

Published online by Cambridge University Press:  01 January 2020

Stephen Yablo
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Extract

Here is Frege in Foundations of Arithmetic, §64:

The judgment ‘Line a is parallel to line b', in symbols: a | | b, 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. (Frege 1997, 110-11)

Type
Research Article
Information
Canadian Journal of Philosophy Supplementary Volume , Volume 34: Truth and Values - Essays for Hans Herzberger , 2008 , pp. 145 - 177
Copyright
Copyright © The Authors 2008

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