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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.

Keywords

Standard Reply Language Fragment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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