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We evaluate the 3 child muddy children puzzle using the epistemic logic of shallow depths <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$\text{ GL}_{EF}$$</EquationSource> </InlineEquation>. This system is used to evaluate what components are necessary for a resolution. These components include the basic beliefs of a child, the necessary depths of the epistemic...</equationsource></inlineequation>

Successes of information and cognitive science brought a growing understanding that mind is based on intelligent cognitive processes, which are not limited by language and logic only. A nice overview can be found in the excellent work of Jeff Hawkins "On Intelligence." This view is that thought...

When economists have to choose between competing theories, they evaluate not only the theories’ empirical relevance, but also qualities like their simplicity, tractability, parsimony and unifying power. These are called the epistemic virtues of a theory. The present paper proposes a formal...

The epistemic program in game theory uses formal models of interactive reasoning to provide foundations for various game-theoretic solution concepts. Much of this work is based around the (static) Aumann structure model of interactive epistemology, but more recently dynamic models of interactive...