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Hintikka and the Functions of Logic

Abstract

Jaakko Hintikka (1929–2015) points out the power of Skolem functions to affect both what there is and what we know. There is a tension in his presupposition that these functions actually extend the realm of logic. He claims to have resolved the tension by “reconstructing constructivism” along epistemological lines, instead of by a typical ontological construction; however, after the collapse of the distinction between first and second order, that resolution is not entirely satisfactory. Still, it does throw light on the conceptual analysis Hintikka proposes.

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Acknowledgements

Thanks very much to an anonymous reviewer and to the editor of the Hintikka special in the Logica Universalis, Ahti-Veikko Pietarinen. Thanks to Akihiro Kanamori, Charles Parsons, and Juliet Floyd. Thanks to Trevor Link. Thanks also to Brian Kiniry, Alex Taylor, Timothy Shugrue, and Connie Lai, and to Kelly Link and Joanne Montgomery Link, as well. Errors are mine.

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Link, M. Hintikka and the Functions of Logic. Log. Univers. 13, 203–217 (2019). https://doi.org/10.1007/s11787-018-0200-0

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  • DOI: https://doi.org/10.1007/s11787-018-0200-0

Mathematics Subject Classification

  • Primary 03A05
  • Secondary 00A30

Keywords

  • Logic
  • foundations of mathematics
  • Skolem function
  • dependence
  • quantification
  • branching quantifier
  • game theoretical semantics