A Strengthening of the Caesar Problem.

The neo-Fregeans have argued that definition by abstraction allows us to introduce abstract concepts such as direction and number in terms of equivalence relations such as parallelism between lines and one-one correspondence between concepts. This paper argues that definition by abstraction suffers...

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Published in:Erkenntnis Vol. 75; no. 1; pp. 123 - 137
Main Author: Joongol Kim
Format: Article
Published: Springer Nature Jul2011
Subjects:
Online Access:View this record in EBSCOhost
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        au: Joongol Kim
        affil: Department of Philosophy and Religious Studies, Western Illinois University, Macomb 61455 USA
      su:
        Abstract thought
        Parallelism (Linguistics)
        Equivalence (Linguistics)
        Plane geometry
        Euclidean algorithm
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          Abstract thought
          Parallelism (Linguistics)
          Equivalence (Linguistics)
          Plane geometry
          Euclidean algorithm
      ab: The neo-Fregeans have argued that definition by abstraction allows us to introduce abstract concepts such as direction and number in terms of equivalence relations such as parallelism between lines and one-one correspondence between concepts. This paper argues that definition by abstraction suffers from the fact that an equivalence relation may not be sufficient to determine a unique concept. Frege's original verdict against definition by abstraction is thus reinstated.
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    language: English
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