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(2002) Synthese 131 (3).

Is Hintikka's logic first-order?

Matti Eklund, Daniel Kolak

pp. 371-388

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.

Publication details

DOI: 10.1023/A:1016184410627

Full citation:

Eklund, M. , Kolak, D. (2002). Is Hintikka's logic first-order?. Synthese 131 (3), pp. 371-388.

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