V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics
Buch in deiner Nähe kaufen
Beschreibung
This book is dedicated to V.A. Yankov’s 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 Yankov’s 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 Yankov’s revolutionary approach to constructive proof theory. The editors also include Yankov’s 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.
This book is dedicated to V.A. Yankov’s 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 Yankov’s 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 Yankov’s revolutionary approach to constructive proof theory. The editors also include Yankov’s 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.
Presents comprehensive exposition of theory of V. Yankov’s characteristic formulas and its contemporary developments Is a groundbreaking approach to the constructive proof theory Addresses innovative interpretation of early Greek mathematics and Philosophy
Autor*in
Alex Citkin
Themen in »V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics«
Jankov Formula In Propositional Logic Jankov Formula In Modal Logic Characteristic Formula Frame and Subframe Formula Splitting Algebra Modal Canonical Formulas Pretabular Intermediate Logics Markov’s Constructivism Intuitionistic Logic Ultra-intuitionism Greek Philosophy and Mathematics. Yankov Formulas for Heyting Algebras Yankov Characteristic Formulas Invariance Modality Constructive Proofs based on Dialogical Interpretatio