On Different Ways of Being Equal.

The aim of this paper is to present a constructive solution to Frege's puzzle (largely limited to the mathematical context) based on type theory. Two ways in which an equality statement may be said to have cognitive significance are distinguished. One concerns the mode of presentation of the equalit...

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Publicado en:Erkenntnis Vol. 87; no. 4; pp. 1809 - 1831
Autor principal: Bentzen, Bruno
Formato: Artículo
Publicado: Springer Nature Aug2022
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        atl: On Different Ways of Being Equal.
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        au: Bentzen, Bruno
        affil: Department of Philosophy, Carnegie Mellon University, 15213, Pittsburgh, USA
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        Limits (Mathematics)
        Semantics
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          Limits (Mathematics)
          Semantics
      ab: The aim of this paper is to present a constructive solution to Frege's puzzle (largely limited to the mathematical context) based on type theory. Two ways in which an equality statement may be said to have cognitive significance are distinguished. One concerns the mode of presentation of the equality, the other its mode of proof. Frege's distinction between sense and reference, which emphasizes the former aspect, cannot adequately explain the cognitive significance of equality statements unless a clear identity criterion for senses is provided. It is argued that providing a solution based on proofs is more satisfactory from the standpoint of constructive semantics.
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    language: English
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