  Aristotle's discussions on modal syllogistic have often been viewed as
error-prone and have garnered significant attention in the literature due to
historical and philosophical interests. However, from a contemporary
standpoint, they also introduced natural fragments of first-order modal logic,
warranting a comprehensive technical analysis. In this paper, drawing
inspiration from the natural logic program, we propose and examine several
variants of modal syllogistic within the epistemic context, thereby coining the
term Epistemic Syllogistic. Specifically, we concentrate on the de re
interpretation of epistemic syllogisms containing non-trivial yet natural
expressions such as "all things known to be A are also known to be not B." We
explore the epistemic apodeictic syllogistic and its extensions, which
accommodate more complex terms. Our main contributions include several
axiomatizations of these logics, with completeness proofs that may be of
independent interest.
