Synthese

, Volume 131, Issue 3, pp 371–388 | Cite as

Is Hintikka's Logic First-Order?

  • Matti Eklund
  • Daniel Kolak
Article

Abstract

Jaakko Hintikka has argued that ordinary first-order logic should be replaced byindependence-friendly first-order logic, where essentially branching quantificationcan be represented. One recurring criticism of Hintikka has been that Hintikka'ssupposedly new logic is equivalent to a system of second-order logic, and henceis neither novel nor first-order. A standard reply to this criticism by Hintikka andhis defenders has been to show that given game-theoretic semantics, Hintikka'sbranching quantifiers receive the exact same treatment as the regular first-orderones. We develop a different reply, based around considerations concerning thenature of logic. In particular, we argue that Hintikka's logic is the logic that bestrepresents the language fragment standard first-order logic is meantto represent. Therefore it earns its keep, and is also properly regarded as first-order.

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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Matti Eklund
    • 1
  • Daniel Kolak
    • 2
  1. 1.HugvísindastofnunUniversity of IcelandReykjavikIceland
  2. 2.Department of PhilosophyWilliam Paterson UniversityWayne

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