TY - GEN N2 - This book is dedicated to V.A. Yankovs seminal contributions to the theory of propositional logics. His papers, published in the 1960s, are highly cited even today. The Yankov characteristic formulas have become a very useful tool in propositional, modal and algebraic logic. The papers contributed to this book provide the new results on different generalizations and applications of characteristic formulas in propositional, modal and algebraic logics. In particular, an exposition of Yankovs results and their applications in algebraic logic, the theory of admissible rules and refutation systems is included in the book. In addition, the reader can find the studies on splitting and join-splitting in intermediate propositional logics that are based on Yankov-type formulas which are closely related to canonical formulas, and the study of properties of predicate extensions of non-classical propositional logics. The book also contains an exposition of Yankovs revolutionary approach to constructive proof theory. The editors also include Yankovs contributions to history and philosophy of mathematics and foundations of mathematics, as well as an examination of his original interpretation of history of Greek philosophy and mathematics. DO - 10.1007/978-3-031-06843-0 DO - doi AB - This book is dedicated to V.A. Yankovs seminal contributions to the theory of propositional logics. His papers, published in the 1960s, are highly cited even today. The Yankov characteristic formulas have become a very useful tool in propositional, modal and algebraic logic. The papers contributed to this book provide the new results on different generalizations and applications of characteristic formulas in propositional, modal and algebraic logics. In particular, an exposition of Yankovs results and their applications in algebraic logic, the theory of admissible rules and refutation systems is included in the book. In addition, the reader can find the studies on splitting and join-splitting in intermediate propositional logics that are based on Yankov-type formulas which are closely related to canonical formulas, and the study of properties of predicate extensions of non-classical propositional logics. The book also contains an exposition of Yankovs revolutionary approach to constructive proof theory. The editors also include Yankovs contributions to history and philosophy of mathematics and foundations of mathematics, as well as an examination of his original interpretation of history of Greek philosophy and mathematics. T1 - V.A. Yankov on non-classical logics, history and philosophy of mathematics / AU - Citkin, Alex, AU - Vandoulakis, Ioannis, VL - volume 24 CN - QA9 N1 - Includes index. ID - 1451104 KW - Proposition (Logic) KW - Mathematics SN - 9783031068430 SN - 3031068432 TI - V.A. Yankov on non-classical logics, history and philosophy of mathematics / LK - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-06843-0 UR - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-06843-0 ER -