The Lvov-Warsaw School. Past and Present

This is a collection of new investigations and discoveries on the history of a great tradition, the Lvov-Warsaw School of logic and mathematics, by the best specialists from all over the world. The papers range from historical considerations to new philos

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Ángel Garrido Urszula Wybraniec-Skardowska Editors

The Lvov-Warsaw School. Past and Present

Studies in Universal Logic

Series Editor Jean-Yves Béziau (Federal University of Rio de Janeiro and Brazilian Research Council, Rio de Janeiro, Brazil) Editorial Board Members Hajnal Andréka (Hungarian Academy of Sciences, Budapest, Hungary) Mark Burgin (University of California, Los Angeles, USA) R˘azvan Diaconescu (Romanian Academy, Bucharest, Romania) Andreas Herzig (Centre National de la Recherche Scientifique, Toulouse, France) Arnold Koslow (City University of New York, USA) Jui-Lin Lee (National Formosa University, Huwei Township, Taiwan) Larissa Maksimova (Russian Academy of Sciences, Novosibirsk, Russia) Grzegorz Malinowski (University of Łód´z, Poland) Francesco Paoli (University of Cagliari, Italy) Darko Sarenac (Colorado State University, Fort Collins, USA) Peter Schröder-Heister (University Tübingen, Germany) Vladimir Vasyukov (Russian Academy of Sciences, Moscow, Russia)

This series is devoted to the universal approach to logic and the development of a general theory of logics. It covers topics such as global set-ups for fundamental theorems of logic and frameworks for the study of logics, in particular logical matrices, Kripke structures, combination of logics, categorical logic, abstract proof theory, consequence operators, and algebraic logic. It includes also books with historical and philosophical discussions about the nature and scope of logic. Three types of books will appear in the series: graduate textbooks, research monographs, and volumes with contributed papers.

More information about this series at http://www.springer.com/series/7391

Ángel Garrido • Urszula Wybraniec-Skardowska Editors

The Lvov-Warsaw School. Past and Present

Editors Ángel Garrido UNED Department of Fundamental Mathematics Madrid, Spain

Urszula Wybraniec-Skardowska Cardinal Stefan Wyszy´nski University in Warsaw Warsaw, Poland

ISSN 2297-0282 ISSN 2297-0290 (electronic) Studies in Universal Logic ISBN 978-3-319-65429-4 ISBN 978-3-319-65430-0 (eBook) https://doi.org/10.1007/978-3-319-65430-0 Library of Congress Control Number: 2018943846 Mathematics Subject Classification (2010): 01A72, 03-03 © Springer International Publishing AG, part of Springer Nature 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and