V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics (eBook)

Alex Citkin, Ioannis M. Vandoulakis (Herausgeber)

eBook Download: PDF

2022 | 1st ed. 2022
XI, 313 Seiten
Springer International Publishing (Verlag)
978-3-031-06843-0 (ISBN)

Infos

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.

A. Citkin studies for many years the theory of the Yankov characteristic formulas, their generalizations and applications in different areas of propositional, modal and algebraic logic.

I. Vandoulakis is Adjunct Professor in history and philosophy of science at the Hellenic Open University, Greece. He holds a Ph.D. in history of mathematics from Moscow M.V. Lomonosov State University (1991). He has published on history and philosophy of Greek mathematics, history of mathematical logic, philosophy and the foundations of mathematics.

Produkt-Details

• Erscheint lt. Verlag: 8.11.2022
• Reihe/Serie: Outstanding Contributions to Logic
• Reihe/Serie: Outstanding Contributions to Logic
• Zusatzinfo: XI, 313 p. 27 illus.
• Sprache: englisch
• Themenwelt: Geisteswissenschaften ► Philosophie ► Logik
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: adding Constants to FDE-based Logics • Canonical Models and Yankov Formulas • Characteristic Formula • Constructive Proofs based on Dialogical Interpretatio • Frame and Subframe Formula • Greek Philosophy and Mathematics. • Intuitionistic Logic • Invariance Modality • Jankov Formula In Modal Logic • Jankov Formula In Propositional Logic • Lattice NExtS4 as a Puzzle Composed of NExtInt-Pieces • Lattice of Superintuitionistic Propositional Logics • Markov’s Constructivism • Modal Canonical Formulas • Pretabular Intermediate Logics • Splitting Algebra • Ultra-intuitionism • Yankov Characteristic Formulas • Yankov Formulas for Heyting Algebras
• ISBN-10: 3-031-06843-2 / 3031068432
• ISBN-13: 978-3-031-06843-0 / 9783031068430