Museum of Outstanding Figures in Ukrainian Culture

Abstract

This paper deals with a famous problem of epistemic logic – logical omniscience. Logical omniscience occurs in the logical systems where the axiomatics is complete and consequently an agent using inference rules knows everything about the system. Logical omniscience is a major problem due to complexity problems and the inability for adequate human reasoning modeling. It is studied both informal logic and philosophy of psychology (bounded rationality). It is important for bounded rationality because it reflects the problem of formal characterization of purely psychological mechanisms. Paper proposes to solve it using the ideas from the philosophical bounded rationality and intuitionistic logic. Special regions of deductible formulas developed according to psychologistic criterion should guide the deductive model. The method is compared to other ones presented in the literature on logical omniscience such as Hintikka’s and Vinkov and Fominuh. Views from different perspectives such as computer science and artificial intelligence are also provided.