Hintikka and Cresswell on logical omniscience

Mark Jago
2007 Logic and Logical Philosophy  
I discuss three ways of responding to the logical omniscience problems faced by traditional 'possible worlds' epistemic logics. Two of these responses were put forward by Hintikka and the third by Cresswell; all three have been influential in the literature on epistemic logic. I show that both of Hintikka's responses fail and present some problems for Cresswell's. Although Cresswell's approach can be amended to avoid certain unpalatable consequences, the resulting formal framework collapses to
more » ... ework collapses to a sentential model of knowledge, which defenders of the 'possible worlds' approach are frequently critical of.
doi:10.12775/llp.2006.019 fatcat:smtiyv2elbca5cji2fadhzyk7y